Nucleon-nucleon potential in finite nuclei

Abstract

We consider the spin-isospin-independent central part of the residual nucleon-nucleon potential in finite spherical nuclei taking into account the deformation effects of the nucleons within the surrounding nuclear environment. It is shown that inside the nucleus the short-range repulsive contribution of the potential is increased and the intermediate attraction is decreased. We identify the growth of the radial component of the spin-isospin independent short-range part of the inmedium nucleon-nucleon interaction as the responsible agent that prevents the radial collapse of the nucleus.

Neutron-Proton Mass Difference in Nuclear Matter and in Finite Nuclei and the Nolen-Schiffer Anomaly

“…[38][39][40] for the medium-modified Skyrme model; see also the static in-medium results of Refs. [42,43].…”

“…In order to include this asymmetry into the nuclear-background parameters of a medium-modified Skyrme model, used in Refs. [38][39][40], we start out by introducing medium-modifications to the free pion Lagrangian (4). Note that throughout this presentation we will denote medium-modified Langrange terms, energies, masses, moments of inertia, form factors, etc.…”

“…[38][39][40] (which is characterized by density dependent coefficients of the second order symmetry-conserving and breaking Lagrangian terms) and extending it to asymmetric nuclear background as in Eq. (12), one arrives at the following isospin-and medium-modified Skyrme Lagrangian [42][43][44]:…”

“…Moreover, Skyrme-soliton models allows for an easy a e-mail: a.wirzba@fz-juelich.de incorporation of the nuclear background via local mediumdependent coefficients [38][39][40]. They are therefore well suited to address the problem of the medium-dependence of the effective neutron-proton mass splitting and the NolenSchiffer anomaly.…”

“…14 N, 16 O, 38 N, 40 Ca) is quantized as a proton (or neutron). In the case that it is quantized as a proton, the resulting total nuclei will be 15 O , 17 F, 39 Ca, 41 Sc, respectively; in the case of a neutron, the resulting nuclei are 15 N, 17 O, 39 N, 41 Ca instead.…”