Occupation probabilities and momentum distributions in closedS-D shell nuclei

Abstract

Abstract. Single-particle occupation probabilities and the depletion of the nuclear Fermi sea (caused by the shortrange nucleon-nucleon correlations) as well as momentum distributions in closed s-d shell nuclei are calculated within the Jastrow correlation method in its low-order approximation. The theoretical results for the occupation probabilities are discussed in relation to experimental data from (e, e' p) reactions and to other theoretical estimates.

Effect of nucleon correlations on natural orbitals

“…This mainly causes the strong localization of the particLestate NO's and the localized mean-field orbitals in the nuclear interior, while the hole-state NO's turn out not to be very sensitive to the details of the correlations in the wave functions. The main conclusions were confirmed in studies of NO's in He, 0, and Ca nuclei within the JCM [21,26,27]. Due to the importance of correlation efI'ects on the s.p.…”

“…The first results have been given in [22] and [23]. Later these quantities were studied by correlation methods, such as the coherent density fluctuation model (CDFM) [1,2,24], the generator coordinate method (GCM) [1,2,25], and the Jastrow correlation method (JCM) [21,26,27].…”

One-nucleon removal reactions as a test of overlap functions from the one-body density matrix calculations

“…The method [16] is based on the knowledge of the ground-state OBDM of the target nucleus and makes it possible to calculate the overlap functions, spectroscopic factors and separation energies of the bound (A − 1)-particle eigenstates. In [17] the recipe [16] was applied within the model OBDM for 16 O and 40 Ca nuclei which takes into account the shortrange nucleon correlations obtained within the lowest-order approximation to the Jastrow correlation method [18][19][20][21]. Although the resulting density matrix has a simple analytical form, it is physically significant since it incorporates to a large extent the SRC in the nuclei considered.…”

“…Recently, it has been shown that absolute spectroscopic factors and overlap functions for one-nucleon removal reactions can be extracted from the OBDM of the target nucleus [16]. The restoration procedure proposed was applied in [17] to the OBDM obtained within the low-order approximation of the Jastrow correlation method [18][19][20][21]. The overlap functions calculated are used in the present work within DWBA calculations of differential cross sections of pick-up (p, d) reactions on 16 O and 40 Ca.…”