Probe the 2$s_{1/2}$ and 1$d_{3/2}$ state level inversion with electron-nucleus scattering

Abstract

The neutron-rich even-even nuclei ${}^{26-40}$Mg, ${}^{28-46}$Si, ${}^{30-48}$S, and ${}^{32-56}$Ar are calculated with the RMF model and the phase-shift electron scattering method. Results show that level inversion of the 2$s_{1/2}$ and 1$d_{3/2}$ proton states may occur for the magnesium, silicon, sulphur, and argon isotopes with more neutrons away from the stability line. Calculations show that the variation of the central charge densities for ${}^{30-48}$S, and ${}^{32-56}$Ar are very sensitive to the 2$s_{1/2}$ and 1$d_{3/2}$ proton state level inversion, and the level inversion can lead to a large measurable central charge depletion to the charge density distributions for the neutron-rich isotopes. Calculations also show that the charge density differences between the isotopes with and without central charge depletion can reveal not only the level inversion of the 2$s_{1/2}$ and 1$d_{3/2}$ proton states but also the behavior of the proton wave functions of both states. The results can provide references for the possible study of the nuclear level inversion and nuclear bubble phenomenon with electron scattering off short-lived nuclei at RIKEN or/and GSI in the future. In addition, direct nuclear reaction ${}^{44}$S(n, d)${}^{43}$P or ${}^{44}$S(${}^3$H, $\alpha$)${}^{43}$P might also be a possible way to study the 2$s_{1/2}$ and 1$d_{3/2}$ proton state level inversion.

21 pages, 8 figures and 1 table. Accepted for publication in Chinese Physics C

References in corpus (13)

• Neutron-Rich Nuclei in Heaven and Earth
• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
• Discovery of the shape coexisting 0+ state in 32Mg by a two neutron transfer reaction
• Onset of intruder ground state in exotic Na isotopes and evolution of the N=20 shell gap
• Elastic Electron Scattering from Light Nuclei
• Charge and matter distributions and form factors of light, medium and heavy neutron-rich nuclei
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• Theoretical study of elastic electron scattering off stable and exotic nuclei
• Electron scattering form factors from exotic nuclei
• Charge density of light exotic nuclei and $\rho NN$ tensor coupling
• Electron scattering in isotonic chains as a probe of the proton shell structure of unstable nuclei
• Comparison of elastic electron or positron scattering from proton-rich nuclei

Cited by in corpus (3)

• Ab initio computation of charge densities for Sn and Xe isotopes
• Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes
• Elastic and quasi-elastic electron scattering on the N = 14, 20, and 28 isotonic chains