Momentum distributions in medium and heavy exotic nuclei

Abstract

We study nucleon momentum distributions of even-even isotopes of Ni, Kr, and Sn in the framework of deformed self-consistent mean-field Skyrme HF+BCS method, as well as of theoretical correlation methods based on light-front dynamics and local density approximation. The isotopic sensitivities of the calculated neutron and proton momentum distributions are investigated together with the effects of pairing and nucleon-nucleon correlations. The role of deformation on the momentum distributions in even-even Kr isotopes is discussed. For comparison, the results for the momentum distribution in nuclear matter are also presented.

Symmetry energy of deformed neutron-rich nuclei

“…The theoretical treatment of the ground-state properties of deformed nuclei is usually made in the framework of mean-field approaches; for instance, the nonrelativistic self-consistent Hartree-Fock + BCS approach with density-dependent Skyrme interaction [13][14][15][16][17], or the HartreeFock-Bogoliubov (HFB) approximation that uses, in particular, the Gogny force containing a finite-range interaction [18,19]. Also the relativistic mean-field (RMF) models with different types of parameter sets have been widely used.…”

A local-density-approximation description of high-momentum tails in isospin asymmetric nuclei

“…Calculations with SHF+BCS indicate that there are still about 10% nucleons above the Fermi surface, where 2% stems from the BCS correlation as suggested in Ref. [35] taking 84 Kr as an example. It is seen that the high-momentum nucleons obtained by the LOC approximation are less than those obtained by the EBHF method.…”

“…In Ref. [35], Gaidarov (Color online) Momentum distributions of symmetric nuclear matter at saturation density calculated by the EBHF method and the LOC approximation with the correlation factor β = 0.9, 1.1, 1.3 fm −1 . Inset: HMTs zoomed with a logarithmic scale.…”

“…[32] the isospin-and density-dependent momentum distribution calculated by extended Brueckner-Hartree-Fock (EBHF) has been parameterized. For finite nuclei, the local density approximation (LDA) based on the results of the lowest order cluster (LOC) approximation [12,[33][34][35] and the light-front dynamics method [35] have been utilized to describe the momentum distributions with initial success. However, these methods cannot adequately explain the existence of the high-momentum pndominated close-proximity correlated pairs [8].…”

Elastic Electron Scattering from <sup>88</sup>Sr and <sup>89</sup>Y Nuclei

“…It is importance to study the NMD not only in stable but also in exotic nuclei. In [10] the NMD of even-even isotopes of Ni, Kr and Sn have been calculated in the framework of deformed self-consistent mean-field Skyrme (HF)+BCS method, as well as of theoretical correlation methods based on light-front dynamics and local density approximation. The isotopic sensitivities of the calculated neutron and proton momentum distributions are investigated together with the effect of pairing and nucleon-nucleon correlations.…”