Investigating nuclear density profiles to reveal particle-hole configurations in the island of inversion

Abstract

Background: In the mass regions with an abnormal shell structure, the so-called ``island of inversion," the spin-parity of odd-mass nuclei provides quantitative insights into the shell evolution. However, the experimental determination of the spin-parity is often challenging, leaving it undetermined in many nuclei. Purpose: We discuss how the shell structure affects the density profiles of nuclei in the island of inversion and investigate whether these can be probed from the total reaction and elastic scattering cross sections. Method: The antisymmetrized molecular dynamics (AMD) is employed to generate various particle-hole configurations and predict the energy levels of these nuclei. The obtained density distributions are used as inputs to the Glauber model, which is employed to calculate the total reaction and elastic scattering cross sections for revealing their relationship to the particle-hole configurations. Results: In addition to the well-known correlation between nuclear deformation and radius, we show the correlations between the particle-hole configurations and both central density and diffuseness. We show that different particle-hole configurations are well reflected in the total reaction and elastic scattering cross sections. Conclusion: The total reaction and elastic scattering cross sections are useful probes to identify the spin-parity of nuclei when different particle-hole configurations coexist.

12 pages, 10 figures, 9 tables

References in corpus (12)

• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Proton distribution radii of ${}^{12-19}$C illuminate features of neutron halos
• A two-neutron halo is unveiled in ${}^{29}$F
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Neutron skin and signature of the $N$ = 14 shell gap found from measured proton radii of ${}^{17-22}$N
• The intruder feature of 31Mg and the coexistence of many particle and many hole states
• Elastic and total reaction cross sections of oxygen isotopes in Glauber theory
• Proton distribution radii of ${}^{16-24}$O: signatures of new shell closures and neutron skin
• Imprint of nuclear bubble in nucleon-nucleus diffraction
• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• Microscopic study of the deformed neutron halo of 31Ne
• Low-lying electric-dipole strengths of Ca, Ni, and Sn isotopes imprinted on total reaction cross sections