Lie-Wen Chen, Jian-Zhong Gu
Based on microscopic Hartree-Fock + random phase approximation calculations
with Skyrme interactions, we study the correlations between the nuclear
breathing mode energy $E_{ISGMR}$ and properties of asymmetric nuclear matter
with a recently developed analysis method. Our results indicate that the
$E_{ISGMR}$ of $^{208}$Pb exhibits moderate correlations with the density slope
$L$ of the symmetry energy and the isoscalar nucleon effective mass
$m_{s,0}^{\ast}$ besides a strong dependence on the incompressibility $K_{0}$
of symmetric nuclear matter. Using the present empirical values of $L=60\pm 30$
MeV and $m_{s,0}^{\ast}=(0.8\pm 0.1)m$, we obtain a theoretical uncertainty of
about $\pm 16$ MeV for the extraction of $K_{0}$ from the $E_{ISGMR}$ of
$^{208}$Pb. Furthermore, we find the $E_{ISGMR}$ difference between $^{100}$Sn
and $^{132}$Sn strongly correlates with $L$ and thus provides a potentially
useful probe of the symmetry energy.
View original:
http://arxiv.org/abs/1104.5407
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