Proton density polarization of the doubly magic 40Ca core in 48Ca and EoS parameters. (25th January 2021)

• Record Type: Journal Article
• Authors: Zenihiro, Juzo; Uesaka, Tomohiro; Sagawa, Hiroyuki; Yoshida, Satoshi
• Is Part Of: Progress of theoretical and experimental physics. Volume 2021:Number 2(2021)
• Publication Date: 2021-01-25
• Subjects: D12; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptab001
• Languages: English
• ISSNs: 2050-3911

Abstract

Abstract: The proton density polarization in ${\rm ^{48}Ca}$ by the eight neutrons added on the ${\rm ^{40}Ca}$ core is discussed. We adopt the proton density distributions determined by electron scattering and the neutron density distributions determined by proton elastic scattering in ${\rm ^{40}Ca}$ and ${\rm ^{48}Ca}$ . As a measure of the proton density polarization effect due to the neutrons, a ratio $R$ of the peak values of the neutron density difference $\Delta\rho_{n, {\rm peak}}$ between ${\rm ^{48}Ca}$ and ${\rm ^{40}Ca}$ to the proton one $\Delta\rho_{p, {\rm peak}}$ is introduced and compared with the Hartree–Fock and Hartree calculations by non-relativistic and relativistic energy density functionals (EDFs), respectively. The value $R$ shows clear correlations with the symmetry energy parameters $J$ and $L$, but not with the isoscalar incompressibility $K_\infty$ . The experimental value $R$ can be reproduced by theoretical calculations using the EDFs with $L=25$ –50 MeV.