Correlation effects in single-particle overlap functions and one-nucleon removal reactions

Gaidarov, M. K.; Pavlova, K. A.; Dimitrova, S. S.; Stoitsov, M. V.; Antonov, A. N.; Neck, Dimitri Van; Müther, H.

doi:10.1103/physrevc.60.024312

Cited by 10 publications

(24 citation statements)

References 40 publications

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“…It is seen that the inclusion of SRC's increases considerably the high momentum component of n(k), for all nuclei we have considered. Also, while the general structure of the high momentum component of the MD for A = 4,12,16,24,28,32,36,40, is almost the same, in agreement with other studies [2,4,11,40], there is an A dependence of n(k) both at small values of k and in the region 2 fm −1 < k < 5 fm −1 . The A dependence of the high momentum component of n(k) is larger in the open shell nuclei than in the closed shell nuclei.…”

Section: Resultssupporting

confidence: 91%

“…There is no systematic study of the one body density matrix (OBDM) and MD which include both the case of closed and open shell nuclei. This would be helpful in the calculations of the overlap integrals and reactions in that region of nuclei if one wants to go beyond the mean field theories [32]. For that reason, in the present work, we attempt to find some general expressions for the OBDM ρ(r, r ′ ) and MD n(k) which could be used both for closed and open shell nuclei.…”

Section: Introductionmentioning

confidence: 99%

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One-body density matrix and momentum distribution ins−pands−dshell nuclei

Moustakidis

Massen

2000

Phys. Rev. C

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Analytical expressions of the one-and two-body terms in the cluster expansion of the one-body density matrix and momentum distribution of the s-p and s-d shell nuclei with N = Z are derived. They depend on the harmonic oscillator parameter b and the parameter β which originates from the Jastrow correlation function. These parameters have been determined by least squares fit to the experimental charge form factors. The inclusion of short-range correlations increases the high momentum component of the momentum distribution, n(k) for all nuclei we have considered while there is an A dependence of n(k) both at small values of k and the high momentum component. The A dependence of the high momentum component of n(k) becomes quite small when the nuclei 24 Mg, 28 Si and 32 S are treated as 1d-2s shell nuclei having the occupation probability of the 2s-state as an extra free parameter in the fit to the form factors.PACS numbers: 21.45.+v, 21.60.Cs, 21.90.+f

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Section: Resultssupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

One-body density matrix and momentum distribution ins−pands−dshell nuclei

Moustakidis

Massen

2000

Phys. Rev. C

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“…This result justifies the approximation of using shell-model orbitals instead of overlap functions in calculating the nucleon knockout cross section for these nuclear states. Nevertheless, as it has been pointed out in previous works [6,7], the calculated cross sections of one-nucleon removal reactions are very sensitite to the differences in the corresponding overlap functions.…”

Section: Resultsmentioning

confidence: 74%

“…The applicability of this theoretical procedure has been demonstrated in Refs. [6,7,13]. In particular, it has been shown [7] that the substantial realistic inclusion of short-range as well as tensor correlations in the ODM of 16 O constructed within the Green Function Method [19] and, as a consequence, in the extracted overlap functions, leads to a fair and consistent description of the experimental cross sections of the 16 O(e, e ′ p) and 16 O(γ, p) reactions.…”

Section: B the Overlap Functions For The Proton And Neutron Bound Statesmentioning

confidence: 99%

Generator coordinate method calculations of one-nucleon removal reactions on40Ca

et al. 2001

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An approach to the Generator Coordinate Method (GCM) using Skyrme-type effective forces and Woods-Saxon construction potential is applied to calculate the single-particle proton and neutron overlap functions in 40 Ca. The relationship between the boundstate overlap functions and the one-body density matrix has been used. These overlap functions are applied to calculate the cross sections of one-nucleon removal reactions such as (e, e ′ p), (γ, p) and (p, d) on 40 Ca on the same theoretical footing. A consistent description of data for the different reactions is achieved. The shapes of the experimental cross sections for transitions to the 3/2 + ground state and the first 1/2 + excited state of the residual nuclei are well reproduced by the overlap functions obtained within the GCM. An additional spectroscopic factor accounting for correlations not included in the overlap function must be applied to the calculated results to reproduce the size of the experimental cross sections. I. INTRODUCTIONExperiments on nuclear reactions accompanied by one-nucleon removal from 40 Ca (e.g. [1][2][3][4]) have accumulated much spectroscopic information on its nucleon-hole spectral density function and, generally, on the single-particle aspects of nuclear structure. From the theoretical point of view two topics in the analyses of these processes are of significant interest and have been mainly studied: the reaction mechanism and the ground-state correlation effects. The latter can be successfully considered by using the unique relationship between the overlap functions (OF) related to bound states of the (A − 1)-particle system and the one-body density matrix (ODM) of the A-particle system in its ground state [5]. This makes it possible to investigate the effects of the various types of nucleon-nucleon correlations included 1 in the ODM on the bound-state proton and neutron overlap functions.In our recent works [6,7] a consistent study of overlap functions and one-nucleon removal reactions on 16 O using different correlation methods has been carried out and the comparison with the experimental data has been performed. In our previous calculations we used methods which account mainly for short-range and tensor nucleon-nucleon correlations. It is desirable, however, to take into consideration also correlations originating from the collective motion of the nucleons. This was partially done for the 16 O nucleus in [7]. In this respect, the various applications of the Generator Coordinate Method to nuclear problems [8-10] have shown its efficiency as a potential source of information on nucleon-nucleon correlations in nuclei. The results on the one-and two-body density and momentum distributions, occupation probabilities and natural orbitals obtained within the GCM using various construction potentials [10] have shown that the nucleon-nucleon correlations accounted for in this method are different from the short-range ones and are rather related to the collective motion of the nucleons. It was pointed out that these correlations are a...

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“…ενώ οι Πίνακες Πυκνότητας p(r, τ') και />(k, k') μπορούν να αναπτυχθούν σε σειρά πολυωνύμων Legendre στο χώρο των r και k, δηλαδή (2.25) Jo Η γνώση των ποσοτήτων pi(r,r') και pi(k,k'), που είναι οι συντελεστές των πολυωνύμων Legendre όταν ο Πίνακας Πυκνότητας αναπτυχθεί με βάση αυτά στο χώρο των θέσεων και στο χώρο των ορμών, είναι θεμελιώδης για τον υπολογισμό των ολοκληρωμάτων επικάλυψης (Overlap integrals) τα οποία με τη σειρά τους είναι απαραίτητα για τη μελέτη αντιδράσεων μετακίνησης ενός νουκλεονίου από τον πυρήνα (One-Nucleon Removal Reactions) [61]. Στη διατριβή αυτή έγινε ο υπολογισμός τους στο χώρο των θέσεων, δηλαδή βρέθηκαν οι ποσότητες pi(r,r') και χρησιμοποιήθηκαν για τον υπολογισμό ενεργών διατομών, αντιδράσεων σκέδασης, σε πυρήνες ανοιχτών φλοιών [62].…”

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Μελέτη Των Παραγόντων Μορφής Και Της Κατανομής Της Ορμής Των Νουκλεονίων Σε Ελαφρούς Πυρήνες

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HO and SRC's where the nuclei 24 Mg, 28 Si and 32 S are treated as Id shell nuclei, while case HO-f-SRC* is the same as case HO+SRC but now the above nuclei are treated as ld-2s shell nuclei. The effect of the SRC's on the CFF and MD at the high momentum transfers (q > 2 fm" 1 ) and the high-momentum component (k > 2 fm _1 ), respectively is examined. There is experimental evidence for the departure of the mean field description of the CFF and MD in those regions of the momentum and thus theoretical approaches, which take into account SRC's due to the character of the nucléon-nucléon forces at small distances, are necessary to be developed.In addition, two other cluster expansions, named FAHT and LOA, are applied and compared to the one-body characteristics of s-p and s-d shell nuclei. The FAHT expansion is truncated at the two-body terms and the LOA is truncated at the two-body terms including also a part of the three-body term. Jastrow type correlation functions are used as in the case of FIY expansion.The comparison of the three truncated expansions can be made, by comparing the χ 2

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Correlation effects in single-particle overlap functions and one-nucleon removal reactions

Cited by 10 publications

References 40 publications

One-body density matrix and momentum distribution ins−pands−dshell nuclei

One-body density matrix and momentum distribution ins−pands−dshell nuclei

Generator coordinate method calculations of one-nucleon removal reactions on40Ca

Μελέτη Των Παραγόντων Μορφής Και Της Κατανομής Της Ορμής Των Νουκλεονίων Σε Ελαφρούς Πυρήνες

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