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

Abstract

Overlap functions and spectroscopic factors extracted from a model one-body density matrix (OBDM) accounting for short-range nucleon - nucleon correlations are used to calculate differential cross sections of (p, d) reactions and the momentum distributions of transitions to single-particle states in and . A comparison between the experimental (p, d) and data, their DWBA and CDWIA analyses and the OBDM calculations is made. Our theoretical predictions for the spectroscopic factors are compared with the empirically extracted ones. It is shown that the overlap functions obtained within the Jastrow correlation method are applicable to the description of the quantities considered.

Overlap functions in correlation methods and quasifree nucleon knockout from16O

“…The applicability of the theoretically calculated overlap functions has been tested in the description of the 16 O(p, d) pickup reaction [20][21][22] and of the 40 Ca(p, d) reaction (within the JCM) [20]. It has been found a good overall agreement between the calculated and the empirical cross sections.…”

Effects of short-range correlations in(e,e′p)reactions and nuclear overlap functions

“…In panel (a), corresponding to the 1p 1/2 shell, the three fits give a similar result which is around a factor of two higher than the exact answer. The results do not show a noticeable improvement when the asymptotic interval is increased from [5.9,15] fm to [13,20] fm. In panel (b), the results of fit II corresponding to the 1d 3/2 shell are again above the exact answer, although we note a convergence trend in going from the interval [6.6, 15] (dot-dashed) to [17.2,20] fm (dotted).…”

Relationships between two-particle overlap functions and the two-body density matrix for many-fermion systems

“…The procedure gives also the next bound state overlap functions with the same multipolarity if they exist and its applicability has been demonstrated in Refs. [2][3][4][5]. Similar procedure but applied to the two-body density matrix is of significant physical interest for analyzing properties of transfer reactions when two nucleons are removed from the target's ground state Ψ (A) leaving the residual C = A − 2 system in a state Ψ (A−2) α .…”

“…The procedure is based on the asymptotic properties of the overlap functions in coordinate space, when the distance between two of the particles and the center-of-mass of the remaining ones becomes very large. This work can be considered as an extension of the analysis presented in [1][2][3][4][5] where the asymptotic behavior of the one-body density matrix and the single-particle overlap functions was examined. Such an extension to the two-body sector is of considerable interest in view of present-day experimental possibilities in electromagnetically induced two-nucleon knock-out reactions like (e, e ′ N N ) and (γ, N N ).…”