Deformation dependence of 2p-radioactivity half-lives: Probe with a new formula across the mass region with Z<82

Abstract

Effect of deformation on half-life of two-proton (2p) radioactivity is investigated across the periodic chart for nuclei with Z$<$82. 2p-decay half-lives are estimated by employing our newly proposed semi-empirical formula wherein the nuclear deformation has been incorporated in a phenomenological way. Robustness of the formula is demonstrated as it estimates the measured values quite accurately and, hence, reliably applied to predict the other possible 2p-emitters. For many proton rich nuclei for which experimental data on the decay energies are not available, we have used the theoretical values obtained from our calculations using the relativistic mean-field (RMF) approach. The uncertainties in the theoretical decay energy values are minimised by machine learning (ML) technique. Correlation of 2p-radioactivity with 2p-halo and deformation is probed. Our calculations show the phenomenon of shape coexistence in several 2p-emitters, wherein the prolate shape is found to be more predominant for the ground state.

15 pages, 5 figures, Accepted in J. Phys. G: Nucl. Part. Phys

References in corpus (14)

• Surface diffuseness correction in global mass formula
• Two-proton radioactivity
• Databases and tools for nuclear astrophysics applications BRUSsels Nuclear LIBrary (BRUSLIB), Nuclear Astrophysics Compilation of REactions II (NACRE II) and Nuclear NETwork GENerator (NETGEN)
• Proton radioactivity within a generalized liquid drop model
• Proton spectroscopy of 48Ni, 46Fe, and 44Cr
• Two-proton radioactivity within a generalized liquid drop model
• Gamow-Teller response in deformed even and odd neutron-rich Zr and Mo isotopes
• Proton radioactivity described by covariant density functional theory with Similarity Renormalization Group method
• Two-Proton Radioactivity with 2p halo in light mass nuclei A$=$18$-$34
• \b{eta}-delayed three-proton decay of 31Ar
• Beta-decay study of $T_z=-2$ proton-rich nucleus ${}^{20}$Mg
• Two-proton radioactivity within Coulomb and proximity potential model
• Sizeable beta-strength in 31Ar(beta-3p) decay
• Collapse of N$=$28 magicity in exotic ${}^{40}$Mg -- Probe of deformed halo and 2n-radioactivity at Mg neutron drip-line

Cited by in corpus (2)

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