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Systematics of nuclear central densities

1999; American Institute of Physics; Volume: 60; Issue: 3 Linguagem: Inglês

10.1103/physrevc.60.034310

1538-4497

Chenglin Wang, K. C. Chung, A. J. Santiago,

Astronomical and nuclear sciences

The nuclear central density is calculated from the nuclear charge-density parameters measured by elastic electron scattering and muonic atom spectroscopy. The nucleon number and asymmetry dependences of the obtained nuclear central density are discussed based on the macroscopic description of nuclei. It is shown that the nuclear central density decreases slowly as the nucleon number or the nuclear asymmetry increases. The proton number and neutron number dependences of the nuclear central density show some structure that seems like the shell effect, since density peaks are formed around the proton and neutron magic numbers. The data fit to the nuclear half density radii measured by muonic atom spectroscopy yields the nuclear radius constant ${r}_{0}=1.141 \mathrm{fm}$, and the data fit to the calculated nuclear central densities gives an estimation for the nuclear matter incompressibility ${K}_{0}$ in the range around 220--250 MeV.