The role of the elemental nature of A=3 nuclei in neutron-rich nuclei

Abstract

The idea of treating the trinucleon systems as elementary entities in the elementary particle model (EPM) as an Effective Field Theory has been a success in explaining the weak charge-changing processes in nuclei. The EPM results are found to be as good as those obtained from nuclear microscopic models using two- and three-body forces. We extend this concept to investigate the validity of the elemental nature of $A=3$ nuclei through studies of nuclear structure of neutron-rich nuclei. By treating neutron-rich nuclei as primarily made up of tritons as its building blocks, we extract one- and two-triton separation energies of these nuclei. Calculations have been performed here within relativistic mean field (RMF) models with latest interactions. Clear evidence arises of a new shell structure with well-defined predictions of new magic nuclei. These unique predictions have been consolidated by standard one- and two-neutron separation energy calculations. The binding energy per nucleon plots of these nuclei also confirm these predictions. We make unambiguos prediction of six magic nuclei: ${}_8^{24}{\mathrm{O}}_{16}$, ${}_{20}^{60}{\mathrm{Ca}}_{40}$, ${}_{35}^{105}{\mathrm{Br}}_{70}$, ${}_{41}^{123}{\mathrm{Nb}}_{82}$, ${}_{63}^{189}{\mathrm{Eu}}_{126}$ and ${}_{92}^{276}{\mathrm{U}}_{184}$.

Comments: 19 pages, 3 figures, 2 tables