Sunday, November 10, 2019
Second language anxiety Essay
In formal researches, foreign language anxiety has clearly been shown to have a negative effect on performance in the foreign language classroom (Aida, 1994; Horwitz, Horwitz, & Cope, 1986; MacIntyre & Gardner, 1991). However, Sparks and Ganschow (1991) have argued to the contrary that, rather than affective factors such as motivation, anxiety or attitude, and foreign language learning are affected by the native language factors. Sparks, Ganschow and Javorsky (2000) contend that some sort of cognitive handicap is the cause of both low proficiency in a second language (L2 hereafter) and the accompanying anxiety. Anxiety in Speaking Public speaking anxiety is very common among both universities students and also the general population. It is a feeling of panic associated with physical sensations that are all too painfully familiar to those affected such as increased heart and breathing rates, increased adrenaline, over-rapid reactions, and a tension in the shoulder and neck area. Almost 20% of university students face the problem of public speaking anxiety (McCroskey, 1977). He also defined anxiety in broad-based as ââ¬Å"an individualââ¬â¢s level of fear or anxiety associated with either real or anticipated communication with another person or personsâ⬠. The apprehension of speaking before a group of individuals remains a problem in the twenty-first century. According to Krannich (2004), the fear of delivering a speech or a presentation ranks as the number one fear among most people, including students as well as adults from many diverse backgrounds. Ayres, Hopt and Peterson (2000) referred communicati on or speaking anxiety related with the delivering of speech or the fear or anxiety associated with anticipating the delivery of a speech.
Thursday, November 7, 2019
The Aztecs And The Incas Essays - Aztec, Civilizations, Tenochtitlan
The Aztecs And The Incas Essays - Aztec, Civilizations, Tenochtitlan The Aztecs and the Incas The Aztecs and the Incas are two of the most memorable ancient Indian tribes because of their accomplishments and the way that they flourished and became two of the most prominent tribes in the Americas. The Aztecs, also known as the Mexica, dominated central and southern Mexico from the 14th to 16th centuries and are best known for having established an empire based on conquest, tribute paying and the religious sacrifice of humans and animals. The Quechian-speaking Incas established an extensive Andean empire in South America shortly before the conquest of the New World by the Europeans. These two empires arose from lowly beginnings. The Aztecs were forced to occupy the swampy area the western side of Lake Texcoco after the fall of the Toltec civilization. They converted their disadvantageous beginning into a powerfully advanced empire within two centuries, partially because of their belief in a legend. The legend goes on to say that they would establish a great civilization in a marshy area where they would see a cactus growing out of a rock and perched on top, an eagle eating a snake. Priests supposedly saw this in 1325 upon arrival and founded the great city of Tenochtitlan. As the Aztecs grew in number, they established superior military and civil organizations. The Incas, on the other hand, had no legend to guide them. They were originally a small warlike tribe inhabiting the south highland region of the Cordillera Central in Peru. They moved into the valley of Cuzco in at about 1100 and for roughly the next 300 years, raided and whenever possible, imposed tribute on neighboring peoples. Until the middle of the 15th century, however, the Incas undertook no imperialistic expansion or political consolidation. The empire reached it?s greatest extent in the reign of Huayna Capac. By this time, the Incas controlled a territory roughly the size of the Atlantic Coast states of the US. The capital city of the Aztecs was an artificial island, formed by piling up mud from the lake bottom, called Tenochtitlan, inhabited by over 100000 people, twice the population of any European city at the time. Tenochtitlan means ?Place of the Cactus? and under Montezuma, it became the most powerful city in Mexico. It had an advanced water supply system, with public fountains and reservoirs throughout the city. Laid out into a grid pattern, it was divided by canals- ?roads? for canoe traffic- and into four districts, each with it?s own temples, schools and markets. The edges of the city had simple housed for the poor; the center had grand houses for the rich. Markets were held every five days and people from everywhere came to sell goods, exchange gossip and news. Officers patrolled the streets and thieves would be tried and punished on the spot. Tenochtitlan was indeed a very organized city. The Incan empire was an agriculturally based theocracy rigidly organized along socialistic lines. The entire domain was also divided into four great regions or quarters and these regions were subdivided into provinces and various other lesser socioeconomic groups. While Tenochtitlan had a system of canals and paved roads to keep the city together, there was a great network of stone roads connecting all parts of the realm to the capital city of Cuzco. Trained runners, working in relays, covered up to 400 km a day delivering messages. Like the Aztecs, who often traveled around their city in canoes, the Incas had Balsa wood boats which provided a rapid means of transportation along rivers and streams. Although the Incas had neither horses, nor a system of writing, authorities in Cuzco were able to keep in close touch with developments around the empire with this system. Communication was also enhanced by keeping numerical records of troops, supplies, population data, and general inventories by means of knotted and colored string called quipus. The imperial administrators had everything under control. While the Incans had no form of writing, the Aztecs used pictographic writing, hieroglyphics, recorded on animal hides. Some of these writings still exist today. The hieroglyphics can also still be found on the ruins of ancient temples. They used a calendar system developed by the earlier Mayan civilization. Both civilizations had numerous gods and paid sacrifices to them. The Incans had the gods of sun, stars and weather. Their goddesses were of the earth, moon and sea. They had numerous and elaborate ceremonies and rituals, primarily centered on health and agricultural concerns. Live animals were often sacrificed at
Tuesday, November 5, 2019
12 Classic Essays on English Prose Style
12 Classic Essays on English Prose Style Despite the changes in English prose over the past few centuries, we may still benefit from the stylistic observations of the old masters. Here, chronologically arranged, are 12à key passages from our collection of Classic Essays on English Prose Style. (To read the complete essays, click on the highlighted titles.) Samuel Johnson on the Bugbear StyleThere is a mode of style for which I know not that the masters of oratory have yet found a name; a style by which the most evident truths are so obscured, that they can no longer be perceived, and the most familiar propositions so disguised that they cannot be known. . . . This style may be called the terrifick, for its chief intention is, to terrify and amaze; it may be termed the repulsive, for its natural effect is to drive away the reader; or it may be distinguished, in plain English, by the denomination of the bugbear style, for it has more terror than danger.(Samuel Johnson, On the Bugbear Style, 1758) Oliver Goldsmith on Simple EloquenceEloquence is not in the words but in the subject, and in great concerns the more simply anything is expressed, it is generally the more sublime. True eloquence does not consist, as the rhetoricians assure us, in saying great things in a sublime style, but in a simple style, for there is, properly speaking, no such thing as a sublime style; the sublimity lies only in the things; and when they are not so, the language may be turgid, affected, metaphoricalbut not affecting.(Oliver Goldsmith, Of Eloquence, 1759) Benjamin Franklin on Imitating the Style of the SpectatorAbout this time I met with an odd volume of the Spectator. I had never before seen any of them. I bought it, read it over and over, and was much delighted with it. I thought the writing excellent, and wished, if possible, to imitate it. With that view, I took some of the papers, and making short hints of the sentiment in each sentence, laid them by for a few days, and then, without looking at the book, tried to complete the papers again, by expressing each hinted sentiment at length and as fully as it had been expressed before, in any suitable words that should come to hand.(Benjamin Franklin, Imitating the Style of the Spectator, 1789) William Hazlitt on Familiar StyleIt is not easy to write a familiar style. Many people mistake a familiar for a vulgar style, and suppose that to write without affectation is to write at random. On the contrary, there is nothing that requires more precision, and, if I may so say, purity of expr ession, than the style I am speaking of. It utterly rejects not only all unmeaning pomp, but all low, cant phrases, and loose, unconnected, slipshod allusions. It is not to take the first word that offers, but the best word in common use.(William Hazlitt, On Familiar Style, 1822) Thomas Macaulay on the Bombastic Style[Michael Sadlers style is] everything which it ought not to be. Instead of saying what he has to say with the perspicuity, the precision, and the simplicity in which consists the eloquence proper to scientific writing, he indulges without measure in vague, bombastic declamation, made up of those fine things which boys of fifteen admire, and which everybody, who is not destined to be a boy all his life, weeds vigorously out of his compositions after five-and-twenty. That portion of his two thick volumes which is not made up of statistical tables, consists principally of ejaculations, apostrophes, metaphors, similesall the worst of their respective kinds.(Thomas Babington Macaulay, On Sadlers Bombastic Declamations, 1831) Henry Thoreau on a Vigorous Prose StyleThe scholar might frequently emulate the propriety and emphasis of the farmers call to his team, and confess that if that were written it would surpass his labored sentences. Whose are the t ruly labored sentences? From the weak and flimsy periods of the politician and literary man, we are glad to turn even to the description of work, the simple record of the months labor in the farmers almanac, to restore our tone and spirits. A sentence should read as if its author, had he held a plow instead of a pen, could have drawn a furrow deep and straight to the end.(Henry David Thoreau, A Vigorous Prose Style, 1849) Cardinal John Newman on the Inseparability of Style and SubstanceThought andà speechà are inseparable from each other. Matter and expression are parts of one;à styleà is a thinking out intoà language. This is what I have been laying down, and this is literature: notà things, not the verbalà symbolsà of things; not on the other hand mereà words; but thoughts expressed in language. . . .à A great author, Gentlemen, is not one who merely has aà copia verborum, whether in prose or verse, and can, as it were, turn on at his will any number of splendidà phrasesà and swelling sentences; but he is one who has something to say and knows how to say it.(John Henry Newman, The Idea of a University, 1852) Mark Twain on Fenimore Coopers Literary OffencesCoopers word-sense was singularly dull. When a person has a poor ear for music he will flat and sharp right along without knowing it. He keeps near the tune, but it is not the tune. When a person has a poor ear for words, the result is a literary flatting and sharping; you perceive what he is intending to say, but you also perceive that he does not say it. This is Cooper. He was not a word-musician. His ear was satisfied with the approximate words. . . . There have been daring people in the world who claimed that Cooper could write English, but they are all dead now.(Mark Twain, Fenimore Coopers Literary Offences, 1895) Agnes Repplier on the Right WordsMusicians know the value of chords; painters know the value of colors; writers are often so blind to the value of words that they are content with a bare expression of their thoughts . . .. For every sentence that may be penned or spoken the right words exist. They lie concealed in the inexhaustible wealth of a vocabulary enriched by centuries of noble thought and delicate manipulation. He who does not find them and fit them into place, who accepts the first term which presents itself rather than search for the expression which accurately and beautifully embodies his meaning, aspires to mediocrity, and is content with failure.(Agnes Repplier, Words, 1896) Arthur Quiller-Couch on Extraneous Ornament[L]et me plead that you have been told of one or two things which Style is not; which have little or nothing to do with Style, though sometimes vulgarly mistaken for it. Style, for example, is not- can never be- extraneous Ornament. . . . [I]f you here requ ire a practical rule of me, I will present you with this: Whenever you feel an impulse to perpetrate a piece of exceptionally fine writing, obey it- wholeheartedly- and delete it before sending your manuscript to press. Murder your darlings.(Sir Arthur Quiller-Couch, On Style, 1916) H.L. Mencken on Woodrow Wilsons StyleWoodrow knew how to conjure up such words. He knew how to make them glow, and weep. He wasted no time upon the heads of his dupes, but aimed directly at their ears, diaphragms and hearts. . . . When Wilson got upon his legs in those days he seems to have gone into a sort of trance, with all the peculiar illusions and delusions that belong to a frenzied pedagogue. He heard words giving three cheers; he saw them race across a blackboard like Socialists pursued by the Polizei; he felt them rush up and kiss him.(H.L. Mencken, The Style of Woodrow, 1921) F.L. Lucas on Stylistic HonestyAs the police put it, anything you say may be used as evidence against you. If handwriting reveals character, writing reveals it still more. . . . Most style is not honest enough. Easy to say, but hard to practice. A writer may take to long words, as young men to beards- to impress. But long words, like long beards, are often the badge of charlatans. Or a writer may cult ivate the obscure, to seem profound. But even carefully muddied puddles are soon fathomed. Or he may cultivate eccentricity, to seem original. But really original people do not have to think about being original- they can no more help it than they can help breathing. They do not need to dye their hair green.(F.L. Lucas, 10 Principles of Effective Style, 1955) For the complete collection, visit Classic Essays on English Prose Style.
Sunday, November 3, 2019
Koalin Loess(Glacier&Periglacial landscapes) Essay
Koalin Loess(Glacier&Periglacial landscapes) - Essay Example a terrain: A terrane is a crustal block or fragment that preserves a distinctive geologic history that is different from the surrounding areas and that is usually bounded by faults. Accreted terranes are those that become attached to a continent as a result of tectonic processes. In more elaborate words, it is a large geographical feature, often a mountain range, that geomorphologists believe was once a group of islands that sat on one tectonic plate that was being subducted under a continental plate. When the part of the plate on which the islands rode began to be subducted, the islands jammed up the subduction zone and the plate behind it broke. As a result, the islands became attached to the side of the continent. As this happened again and again, the island arc became an inland mountain range. The Himalayas ,according to the modern theory of plate tectonics, was formed as a result of a continental collision or orogeny along the convergent boundary between the Indo-Australian Plate and the Eurasian Plate. This is referred to as a fold mountain. The collision began in the Upper Cretaceous period about 70 million years ago, when the north-moving Indo-Australian Plate, moving at about 15 cm per year, collided with the Eurasian Plate. About 50 million years ago, this fast moving Indo-Australian plate had completely closed the Tethys Ocean, the existence of which has been determined by sedimentary rocks settled on the ocean floor and the volcanoes that fringed its edges. Since these sediments were light, they crumpled into mountain ranges rather than sinking to the floor. The Indo-Australian plate continues to be driven horizontally below the Tibetan plateau, which forces the plateau to move upwards. The Indo-Australian plate is still moving at 67 mm per year, and over the next 10 million years it will travel about 1,500 km into Asia. About 20 mm per year of the India-Asia convergence is absorbed by thrusting along the Himalaya southern front. This leads to the
Thursday, October 31, 2019
Review book reviews on the book By His own Hand The Mysterious Death Essay
Review book reviews on the book By His own Hand The Mysterious Death of Meriweather Lewis - Essay Example This review explains the book in terms of a courtroom setting in which Holmberg argues the case for suicide, Guice argues against it and Buckley gives instructions to the readers who are supposedly the jury. Morris then gives some details about the contribution of these three scholars in three different paragraphs. First it discusses Holmbergââ¬â¢s work on contemporaneous sources that support the case for suicide in addition to that Holmberg answers the questions raised by critics of the suicide theory. In the next paragraph, Guiceââ¬â¢s work on regarding the details of suicide theory as unreliable are discussed. Finally the review takes note of Buckleyââ¬â¢s work on presenting recent studies on Lewisââ¬â¢ death. The review then adds to the information of readers that there is a document section comprising of nine documents related to the death of Meriwether Lewis at the end of this book. This document section basically lets the reader of the book decide what actually hap pened. At the end of this review, Morris recommends this book to everyone who is interested in the case of Meriwether Lewisââ¬â¢ death. The next review is by Todd A. Herring from Lincoln University. This review starts with the instance of Meriwether Lewisââ¬â¢ death as well. It tells us that up till now this case has been a subject of surmise. The reviewer introduces the three contributors of this book namely John D. W. Guice, James J. Holmberg and Jay H. Buckley. The reviewer suggests that the analysis presented in this book leads the readers to the conclusion that Meriwether Lewis took his own life. However, in the previous review no such conclusion was drawn. The review talks about Guiceââ¬â¢s work that supports the possibility of murder but considers it implausible. The review then talks about the factors that contributed to Lewisââ¬â¢ suicide, which involve, severe alcoholism, financial difficulties, manic-depressive disorder, failure as a territorial governor and i nability to find a wife. Herring makes reference to a recent controversial contention regarding Lewisââ¬â¢ death which according to the reviewer has not been mentioned in the book. This contention involves William Clark. This review describes the book as a compilation of Guiceââ¬â¢s assembly of scholarsââ¬â¢ theories, Primary documents and Jay H. Buckleyââ¬â¢s bibliography. In the end the reviewer does takes account of the fact that Guiceââ¬â¢s work does leave some doubt in the minds of the readers. According to this review this volume is an excellent model for historians and has come closer to the apparent truth than any other previous investigation. The review by Dennis Lythgoe starts with the mysterious death of Meriwether Lewis and the details associated with it. The review tells us that it has been assumed that Lewis took his own life but there were no eyewitnesses. Further the reviewer claims that even William Clark and Thomas Jefferson assumed that Lewis was no t murdered but committed suicide. Then the review moves on to the book and one by one introduces the four scholars and gives a description of their work that has been presented in this book. According to this review, Clay Jenkinson outlines the facts and describes the problems known from the evidence, Holmberg argues for suicide, Guice argues for murder and Buckley concludes the case after assessing both types of arguments. This non scholarly review also regards the book as a courtroom trial. Later in the review the reviewer highlights Buckleyââ¬â¢
Tuesday, October 29, 2019
What are the main roles that the United Nations plays in international Essay
What are the main roles that the United Nations plays in international politics To what extent is it successful, and how should that success be gauged - Essay Example Economic instability and imperialistic tendencies led to WWI and WWII, a fact not lost on the founding nations of the UN. The Security Council, the most influential component of the UN is responsible for preserving international security. Comprised of 15 member nations, five of which, the UK, US, Russia, China and France are permanent members, the Security Council convenes whenever it considers a threat to world peace exists. The UN General Assembly, all member nations, gathers at regular intervals to deliberate international problems (ââ¬Å"The United Nationsâ⬠, 2007). Recent and continuing issues addressed by the UN include alleviating world hunger and disease, reducing child deaths, protecting the civil rights, language and culture of indigenous peoples of the world and confronting global warming, AIDS, the genocide in Sudan, victims of natural disasters and war crimes among many other topics (UN News Service, 2007). No one can debate that the formation of the UN has provided relief and stabilisation for millions of the worldââ¬â¢s population over the past 60 years. However, many rightfully question the ability of this international organisation to successfully manage present and future adverse scenarios. The power of the UN to stop imperialist actions was put in serious doubt when it could not stop the US from invading a sovereign country that did not initiate military conflict. The genocide in Darfur, Sudan was ignored until just recently and many thousands of children worldwide die from starvation every day. In addition, globalization has gone far beyond the scope of what could have been imagined in 1945. ââ¬Å"Globalization has also created new vulnerabilities to old threats. Criminal networks take advantage of the most advanced technologies to traffic around the world in drugs, arms, precious metals and stones even peopleâ⬠(ââ¬Å"We the
Sunday, October 27, 2019
Effect of Short Range Correlation
Effect of Short Range Correlation The effect of short range correlation on the nuclear charge density distribution, elastic and inelastic electron scattering coulomb form factors of 16O nucleus Abdullah S. Mdekil Abstract The effect of the short range correlation on the charge density disribution, elastic electron scattering form factors and inelastic Coulomb form factors is studied for the two excited states (6.92 and 11.52 MeV) in is analyzed. This effect (which depends on the correlation parameter) is inserted into the ground state charge density distribution through the Jastrow type correlation function. The single particle harmonic oscillator wave function is used with an oscillator size parameter The parameters and are considered as free parameters, adjusted for each excited state separately so as to reproduce the experimental root mean square charge radius of In inelastic coulomb (longitidinal) form factors of 16O, two different models are employed for . In the first model (model A), is considered as a closed shell nucleus. Here, the model space in does not contribute to the transition charge density, because there are no protons outside the closed shell nucleus . In the second model (mo del B), the nucleus of is assumed as a core of with 2 protons and 2 neutrons move in and model space. It is found that the introduction of the effect of short range correlations is necessary for obtaining a remarkable modification in the calculated inelastic Coulomb form factors and considered as an essential for explanation the data amazingly throughout the whole range of considered momentum transfer. Keywords: charge density distribution, elastic charge form factors, inelastic longitudinal form factors, short range correlation. 1-Introduction Electron scattering provides more accurate information about the nuclear structure for example size and charge distribution. It provides important knowledge about the electromagnetic currents inside the nuclei. Electron scattering have been provided a good test for such evaluation since it is sensitive to the spatial dependence on the charge and current densities [1, 2, 3]. Depending on the electron scattering, one can distinguish two types of scattering: in the first type, the nucleus is left in its ground state, that is called elastic electron scattering while in the second type, the nucleus is left on its different excited states, this is called inelastic electron scattering [4, 5]. In the studies of Massen et al. [6-8], the factor cluster expansion of Clark and co-workers [9-11] was utilized to derive an explicit form of the elastic charge form factor, truncated at the two-body term. This form, which is a sum of one- and two-body terms, depends on the harmonic oscillator parameter and the correlation parameter through a Jastrow-type correlation function [12]. This form is employed for the evaluation of the elastic charge form factors of closed shell nuclei and in an approximate technique (that is, for the expansion of the two-body terms in powers of the correlation parameter, only the leading terms had been kept) for the open and shell nuclei. Subsequently, Massen and Moustakidis [13] performed a systematic study of the effect of the SRC on and shell nuclei with entirely avoiding the approximation made in their earlier works outlined in [6-8] for the open shell nuclei. Explicit forms of elastic charge form factors and densities were found utilizing the fac tor cluster expansion of Clark and co-workers and Jastrow correlation functions which introduce the SRC. These forms depends on the single particle wave functions and not on the wave functions of the relative motion of two nucleons as was the case of our previous works [14-20] and other works [6,21,22]. It is important to point out that all the above studies were concerned with the analysis of the effect of the SRC on the elastic electron scattering charge form factors of nuclei. There has been no detailed investigation for the effect of the SRC on the inelastic electron scattering form factors of nuclei. We thus, in the present work, perform calculations with inclusion this effect on the inelastic Coulomb form factors for closed shell nucleus. As a test case, the is considered in this study. To study the effect of SRC (which depends on the correlation parameter on the inelastic electron scattering charge form factors of considered nucleus, we insert this effect on the ground state charge density distribution through the Jastrow type correlation function [12]. The single particle harmonic oscillator wave function is used in the present calculations with an oscillator size parameter The effect of SRC on the inelastic Coloumb form factors for the two excited states (6.92 and 11.52 MeV) in is analyzed. 2. Theory Inelastic electron scattering longitudinal (Coulomb) form factor involves angular momentum and momentum transfer and is given by [23] (1) where and are the initial and final nuclear states (described by the shell model states of spin and isospin ), is the longitudinal electron scattering operator, is the center of mass correction (which removes the spurious states arising from the motion of the center of mass when shell model wave function is used), is the nucleon finite size correction and assumed to be the same for protons and neutrons, A is the nuclear mass number, is the atomic number and is the harmonic oscillator size parameter. The form factor of eq.(1) is expressed via the matrix elements reduced in both angular momentum and isospin [24] (2) where in eq. (2), the bracket ( ) is the three- symbol, where and are restricted by the following selection rule: (3) and is given by The reduced matrix elements in spin and isospin space of the longitudinal operator between the final and initial many particles states of the system including configuration mixing are given in terms of the one-body density matrix (OBDM) elements times the single particle matrix elements of the longitudinal operator [25] (4) where and label single particle states (isospin included) for the shell model space. The in eq. (4) is calculated in terms of the isospin-reduced matrix elements as [26] (5) where is the isospin operator of the single particle. (6) The model space matrix element, in eq. (6), is given by (7) where is the spherical Bessel function and is the model space transition charge density, expressed as the sum of the product of the times the single particle matrix elements, given by [26]. (8) Here, is the radial part of the harmonic oscillator wave function and is the spherical harmonic wave function. The core-polarization matrix element, in eq. (6), is given by (9) where is the core-polarization transition charge density which depends on the model used for core polarization. To take the core-polarization effects into consideration, the model space transition charge density is added to the core-polarization transition charge density that describes the collective modes of nuclei. The total transition charge density becomes (10) According to the collective modes of nuclei, the core polarization transition charge density is assumed to have the form of Tassie shape [27] (11) where is the proportionality constant given by [14] (12) which can be determind by adusting the reduced transition probability to the experimental value, and is the ground state charge density distribution of considered nuclei. For the ground state charge densities of closed shell nuclei may be related to the ground state point nucleon densities by [28, 29] (13) in unit of electronic charge per unit volume (e.fm-3). An expression of the correlated density (where the effect of the SRCs is included), consists of one- and two-body terms, is given by [13] (14) where is the normalization factor and is the one body density operator given by (15) The correlated density of eq. (14), which is truncated at the two-body term and originated by the factor cluster expansion of Clark and co-workers [10-12], depends on the correlation parameter through the Jastrow-type correlation (16) where is a state-independent correlation function, which has the following properties: for large values of and for It is so clear that the effect of SRCs, inserted by the function becomes large for small values of SRC parameter and vice versa. The one-body term, in eq. (14), is well known and given by (17) where is the occupation probability of the state and is the radial part of the single particle harmonic oscillator wave function. The two-body term, in eq. (14), is given by [13] (18) where (19) The form of the two-body term is then originated by expanding the factor in the spherical harmonics and expressed as [13] (20) where (21) and is the Clebsch-Gordan coefficients. It is important to point out that the expressions of eqs. (17) And (20) are originated for closed shell nuclei with where the occupation probability is 0 or 1. To extend the calculations for isotopes of closed shell nuclei, the correlated charge densities of these isotopes are characterized by the same expressions of eqs. (17) and (20) (this is because all isotopic chain nuclei have the same atomic number but this time different values for the parameters and are utilized. The mean square charge radii of nuclei are defined by (22) where the normalzation of the charge density distribution is given by (23) 3-Results and discussion The ground state CDD is calculated by eq.(13) together with eqs. (14), (17) and (20). The calculated CDD without (with) the effect of the SRC [i.e., when the correlation parameter is obtained by adjusting only the parameter (the two parameters and ) so as to reproduce the experimental root mean square (rms) charge radii of nuclei under study. The elastic electron scattering charge form factors which is simply the Fourier transform of the ground state CDD. In Fig. 1, we compare the calculated CDD [Fig. 1(a)] and elastic charge form factors [Fig. 1(b)] of with those of experimental data (the open circles). In Fig. 1, we compare the calculated CDD [Fig. 1 (a)] and elastic charge form factors [Fig. 1 (b)] of with those of experimental data (the open circles). The dashed curves are the calculated results without the inclusion of the effect of the SRC obtained with and fm. The solid curves are the calculated results with including the effect of the SRC obtained with fm-2 and fm. It is important to point out that the parameters and employed in the calculations of the dashed and solid curves are chosen so as to reproduce the experimental rms charge radius of Fig. 1 (a) illustrates that the calculated CDD of the dashed curve (without the effect of the SRC) is in such a good agreement with that of the experimental data, and the solid curve (with the effect of the SRC) is not in such a good agreement with that of the experimental data, e specially in the central region ( fm) of the distributions. The inclusion of SRC has the feature of reducing the central region of the distribution as seen in the solid curve of this figure. Inspection to the Fig. 1 (b) gives an indication that the solid curve is better describing the experimental data than that of the dashed curve, particularly in the region of momentum transfer fm-1. The rms charge radius calculated with the above values of and is 2.621 fm, which is less than the experimental value by 0.097fm, which corresponds to a decrease of nearly 3.6 % of the experimental value. Fig. 1. The calculated CDD and elastic charge form factors are compared with those of experimental data. The dashed curve corresponds to the values for the parameters and fm, the solid curve corresponds to the values for the parameters fm-2 and fm while the open circles and the triangles in Figs. 1 (a) and 1 (b) are the experimental data taken from [30] and [31], respectively. The effect of the SRC on the inelastic Coulomb form factors is studied for the two excited states (6.92 and 11.52 MeV) in. Core polarization effects are taken into consideration by means of the Tassie model [eq. (11)], where this model depends on the ground state charge density distribution. The proportionality constant [eq. (12)] is estimated by adjusting the reduced transition probability to the experimental value. The effect of the SRC is incorporated into the ground state charge density distribution through the Jastrow type correlation function [12]. The single particle harmonic oscillator wave function is employed with an oscillator size parameter The charge density distribution calculated without the effect of the SRC depends only on one free parameter (namely the parameter), where is chosen in such away so as to reproduce the experimental rms charge radii of considered nuclei. The charge density distribution calculated with the effect of the SRC depends on two free parameters (namely the harmonic oscillator size parameter and the correlation parameter), where these parameters are adjusted for each excited state separately so as to reproduce the experimental rms charge radii of considered nuclei. Two different models are employed for. In the first model (model A), is considered as a closed shell nucleus. In this model, the proton occupation probabilities in are assumed to be and Here, the model space in does not contribute to the transition charge density [i.e. ], because there are no protons outside the closed shell nucleus . Accordingly, the Coloumb form factors of come entirely from the core polarization transition charge density. In the second model (model B), the nucleus of is assumed as a core of with 2 protons and 2 neutrons move in and model space. In this model, the proton occupation probabilities in are assumed to be and Here, the total transition charge density [eq. (10)] comes from both the model space and core polarization transition charge densities. The OBDM elements of are generated, via the shell model code OXBASH [32], using the REWIL [33] as a realistic effective interaction in the isospin formalism for 4 particles move in the and model spac e with a core. In Table 1, the experimental excitation energies (MeV), experimental reduced transition probabilities (fm) and the chosen values for the parameters and for each excited state (used in the calculations of model A and B) in and are displayed. The root mean square (rms) charge radius calculated in both models with the effect of SRC is also displayed in this table and compared with that of experimental result. It is evident from this table that the values of the parameter employed for calculations with the effect of SRC are smaller than that of without SRC ( fm) . This is attributed to the fact that the introduction of SRC leads to enlarge the relative distance of the nucleons (i.e., the size of the nucleus) whereas the parameter (which is proportional to the radius of the nucleus) should become smaller so as to reproduce the experimental rms charge radius of the considered nuclei. Inelastic Coloumb form factors for different transitions in are displayed in Figs. 1 and 2. The calculated inelastic form factors obtained with model A are shown in the upper panel [Figs. 1(a)-2(a)] of the above figures whereas those obtained with model B are shown in the lower panel [Figs. 1(b)- 2(b)] of the above figures. It is obvious that all transitions considered in, presented in the above figures, are of an isoscalar character. Besides, the parity of them does not change. Here, the calculated inelastic form factors are plotted versus the momentum transfer and compared with those of experimental data. The dashed and solid curves are the calculated inelastic Coloumb form factors without and with the inclusion of the effect of the SRC, respectively. The open symbols are those of experimental data taken from [34, 35]. Table1. The experimental excitation energies and reduced transition probabilities, the chosen values for and as well as the rms charge radius calculated with the effect of the SRC of 16O. (fm) Model B Model A fm2L) (MeV) State (fm) (fm-2) (fm) (fm) (fm-2) (fm) [30] 2.704
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