A systematic study of the factors affecting central depletion in nuclei

Abstract

A systematic study of the central depletion of proton density has been performed in the isotonic chains of nuclei with neutron numbers $N=20$ and $28$ using different variants of the relativistic mean-field (RMF) models. These models include either the non-linear contributions from the mesons with the coupling constants being density independent or the non-linearity of the mesonic fields realized through the density dependent coupling strengths. The central depletion in deformed nuclei tends to disappear irrespective of the occupancy of $2s_{1/2}$ state in contrast to the spherical nuclei in which the unoccupancy of $2s_{1/2}$ state leads to the central depletion. Due to the differences in the strength of spin-orbit potentials in these models, the central depletions are found to be model dependent. The influence of the central depletion on the neutron-skin thickness is also investigated. It appears that the effects of the central depletion do not percolate far enough to display its finger prints on the trends of the neutron-skin thickness.

17 pages, 9 figures, Accepted in Journal of Physics G: Nuclear and Particle Physics

References in corpus (9)

• Neutron-Rich Nuclei in Heaven and Earth
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• A proton density bubble in the doubly magic ${}^{34}$Si nucleus
• Detecting bubbles in exotic nuclei
• Evolution of the proton sd states in neutron-rich Ca isotopes
• Central depression in nucleonic densities: Trend analysis in nuclear density-functional-theory approach
• Beyond-mean-field study of the possible "bubble" structure of 34Si
• A relativistic mean field study of multi-strange system