2005 2nd Joint Meeting of the Nuclear Physics Divisions of the APS and The Physical Society of Japan
Sunday–Thursday, September 18–22, 2005;
Maui, Hawaii
Session 1WH: Workshop 8A: Neutron-rich Nuclei in Nuclear Astrophysics
9:00 AM–12:00 PM,
Sunday, September 18, 2005
Ritz-Carlton Hotel
Room: Plantation 1
Sponsoring
Units:
DNP JPS
Chair: Jorge Piekarewicz
Abstract ID: BAPS.2005.HAW.1WH.2
Abstract: 1WH.00002 : Mean field theory for neutron rich nuclei and EOS
9:30 AM–10:00 AM
Preview Abstract
Abstract
Author:
Satoshi Yoshida
(Hosei University)
We have already shown that there was a clear linear correlation
between the neutron skin thickness of stable nuclei, such as $^
{208}$Pb, the pressure of neutron matter in the Skyrme Hartree
Fock (SHF) and relativistic mean field (RMF) models.
Here the pressure $P_{n}$ of neutron matter is defined by the
first derivative of Hamiltonian density in the neutron matter
with respect to the neutron density.
There are some nuclear properties of infinite nuclear matter,
such as the saturation density $\rho_{nm}$, the saturation
energy per nucleon $E_{0}$, the incompressibility $K$, the
symmetry energy $J$, the 1st derivative $L$ of $\varepsilon_
{\delta}$ and 2nd derivative $K_{sym}$ of $\varepsilon_{\delta}
$.
The isoscalar part $h$ are characterized by $\rho_{nm}$, $E_{0}
$ and $K$, and the isovector part $\varepsilon_{\delta}$ is
characterized by $J$, $L$ and $K_{sym}$.
Furthermore these isoscalar part and the isovector part of the
Hamiltonian density for infinite nuclear matter play an
important role to characterize the equation of state (EOS).
In Skyrme Hartree Fock model (SHF) including some parameters in
the Skyrme force, there are many versions of Skyrme parameter
sets parameterized by the experimental results of finite nuclei
such as nuclear mass, charge radii and so on.
All Skyrme parameter sets which we use recently can reproduce
the empirical $\rho_{nm}$ and $E_{0}$, whereas the values of
$K$, $J$, $L$ and $K_{sym}$ depend on the parameter sets
entirely.
However we found there were correlations among $K$, $J$, $L$
and $K_{sym}$ in SHF model.
Furthermore if we fix the values of $\rho_{nm}$ and $E_{0}$ to
0.16~fm$^{-3}$ and 16 MeV, respectively, the nuclear matter
properties $J$, $L$ and $K_{sym}$ are represented as a function
of the incompressibility $K$, the neutron skin thickness of $^
{208}$Pb and the power of the total density in density-
dependent term of Skyrme force.
In addition to the content above, I will discuss the relation
between the EOS of the neutron matter and the neutron skin
thickness of the finite nuclei.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2005.HAW.1WH.2