Global calculation of α-decay half-lives with a deformed density-dependent cluster model

Abstract

A global calculation of favored α-decay half-lives of both even-A and odd-A deformed nuclei is carried out in the framework of a deformed version of the density-dependent cluster model (DDCM). The influence of nuclear deformation on α-decay half-lives is taken into account in the deformed DDCM. The microscopic potential between the spherical α particle and the deformed daughter nucleus is evaluated numerically from the double-folding model by the multipole expansion method. The deformation and orientation dependence of the α-core potential is analyzed and discussed. The formulas of the deformed DDCM are presented in detail, and a large number of numerical calculations of medium and heavy nuclei with available data are completed. The total number of α emitters calculated in this article is 485, and this covers the nuclei with Z = 52-110. This is a complete study of α-decay half-lives on both even-A and odd-A nuclei with deformed microscopic potentials. The numerical results obtained by the deformed DDCM are in good agreement with the experimental data.

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

“…The centrifugal contribution is usually used in its Langer modified form, V (r) = ( + 1/2) 2h2 /2μr 2 [21], in terms of the orbital angular momentum carried by the α particle. This form with ( + 1) replaced by ( + 1/2) 2 is usually used to ensure the correct behavior of the WKB scattered radial wave function, or the potential near the origin [35,48], with no significant variation for α-decay half-lives [49]. This centrifugal potential part acts to reduce the tunneling probability if the angular momentum carried by the α particle is nonzero.…”

“…This centrifugal potential part acts to reduce the tunneling probability if the angular momentum carried by the α particle is nonzero. Because it is specified with no repulsive core, a renormalization factor is introduced to the nuclear part of the folding potential based on the M3Y interaction by applying the Bohr-Sommerfeld condition [49],…”

Nuclear clusters bound to doubly magic nuclei: The case ofPo212

“…(15) being modified correspondingly. In the account of the Pauli blocking in the effective wave equation (15), it is indispensable to have a conserving approximation which relates the approximation for the single-nucleon self-energy to the two-particle propagator [30]. Both the self-energy in mean-field approximation and the Pauli blocking given by the Fermi distribution are obtained in the approximation of an uncorrelated medium.…”

“…In general, the treatment of correlations is a difficult problem in a single-nucleon mean-field approach beyond the two-particle case with pairing. However, cluster formation may occur in special situations, and the systematic treatment of correlations beyond the mean-field theory is a great challenge in the actual treatment of nuclear structure [3][4][5][6][7][8][9][10][11][12][13][14][15].…”

“…[10][11][12][13][14][15]. One α bound to the doubly magic nuclei 16 O to describe 20 Ne was considered using the generalized THSR wave function recently [8,9].…”