Neutron Dripline in Odd and Even Mass Calcium and Nickel Nuclei

Abstract

Neutron rich Ca and Ni nuclei have been studied in spherical Relativistic Mean Field formalism in co-ordinate space. A delta interaction has been has been adopted to treat the pairing correlations for the neutrons. Odd nuclei have been treated in the blocking approximation. The effect of the positive energy continuum and the role of pairing in the stability of nuclei have been investigated using the resonant-BCS (rBCS) approach. In Ca isotopes, N=50 is no longer a magic number while in Ni nuclei, a new magic number emerges at N=70. There is a remarkable difference in the relative positions of the drip lines for odd and even isotopes. In Ca isotopes, the last bound even and odd nuclei are found to be ${}^{72}$Ca and ${}^{59}$Ca, respectively. In Ni isotopes, the corresponding nuclei are ${}^{98}$Ni and ${}^{97}$Ni, respectively. The origin of this difference in relative positions of the dripline in even and odd isotopes in the two chain is traced to the difference in the single particle level structures and consequent modification in the magic numbers in the two elements. Pairing interaction is seen to play a major role. The effect of the width of the resonance states on pairing has also been investigated.

To appear in Physical Review C

References in corpus (8)

• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Pairing and continuum effects in nuclei close to the drip line
• Pairing correlations and resonant states in the relativistic mean field theory
• Study of Proton Magic Even-Even Isotopes and Giant Halos of Ca Isotopes with Relativistic Continuum Hartree-Bogoliubov Theory
• Description of Drip-Line Nuclei within Relativistic Mean-Field Plus BCS Approach
• Effect of Resonant Continuum on Pairing Correlations in the Relativistic Approach
• Continuum HFB calculations with finite range pairing interactions
• Relativistic mean field study of neutron rich even-even C and Be isotopes

Cited by in corpus (15)

• Living on the edge of stability, the limits of the nuclear landscape
• Neutron-rich calcium isotopes within realistic Gamow shell model calculations with continuum coupling
• Emergence of clusters: Halos, Efimov states, and experimental signals
• A shell-model study of calcium isotopes towards their drip line
• Microscopic calculation of proton capture reactions in mass 60-80 region and its astrophysical implications
• Relativistic Mean Field in $A\approx$80 nuclei and low energy proton reactions
• Low energy ($p,\gamma$) reactions in Ni and Cu nuclei using microscopic optical model
• Combined few-body and mean-field model for nuclei
• Role of pairing interaction in neutron rich odd and even Zr nuclei
• Shell Evolution in Neutron-rich Ge, Se, Kr and Sr Nuclei within RHB Approach
• Helium nuclei around the neutron drip line
• Pairing in the BCS and LN approximations using continuum single particle level density
• Microscopic Study of (p,$\gamma$) Reactions in Mass Region A=110-125
• Novel feature of doubly bubble nuclei in 50$\le$Z(N)$\le$82 region along with magicity and weakly bound structure
• Radiative proton capture cross sections in the mass range $40-55$