Folding model analysis of proton radioactivity of spherical proton emitters

Abstract

Half lives of the decays of spherical nuclei away from proton drip line by proton emissions are estimated theoretically. The quantum mechanical tunneling probability is calculated within the WKB approximation. Microscopic proton-nucleus interaction potentials are obtained by single folding the densities of the daughter nuclei with M3Y effective interaction supplemented by a zero-range pseudo-potential for exchange along with the density dependence. Strengths of the M3Y interaction are extracted by fitting its matrix elements in an oscillator basis to those elements of the G-matrix obtained with the Reid-Elliott soft-core nucleon-nucleon interaction. Parameters of the density dependence are obtained from the nuclear matter calculations. Spherical charge distributions are used for calculating the Coulomb interaction potentials. These calculations provide reasonable estimates for the observed proton radioactivity lifetimes of proton rich nuclei for proton emissions from 26 ground and isomeric states of spherical proton emitters.

6 pages

Cited by in corpus (19)

• Alpha decay half-lives of new superheavy elements
• Proton radioactivity within a generalized liquid drop model
• Microscopic calculation of half lives of spherical proton emitters
• New Geiger-Nuttall law for proton radioactivity
• Proton radioactivity described by covariant density functional theory with Similarity Renormalization Group method
• Systematic study of proton radioactivity of spherical proton emitters within various versions of proximity potential formalisms
• Nuclear equation of state at high baryonic density and compact star constraints
• Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier
• Transport model study of nuclear stopping in heavy ion collisions over an energy range from 0.09A GeV to 160A GeV
• Cluster radioactivity in very heavy nuclei: a new perspective
• Study of elastic and inelastic scattering of ${}^7$Be + ${}^{12}$C at 35 MeV
• Systematic study of proton radioactivity of spherical proton emitters with Skyrme interactions
• Isospin asymmetric nuclear matter and properties of axisymmetric neutron stars
• Impact of Nuclear Deformation of Parent and Daughter Nuclei on One Proton Radioactivity Lifetimes
• Microscopic Study of (p,$\gamma$) Reactions in Mass Region A=110-125
• Systematic study of proton radioactivity half-lives based on the relationship between the Skyrme-Hartree-Fock and the macroscopic quantities of nuclear matter
• Radiative proton capture cross sections in the mass range $40-55$
• Centrifugal-corrected harmonic oscillator model for spherical proton emitters
• Systematic study on proton radioactivity of spherical proton emitters within two--potential approach