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Softness of Sn isotopes in relativistic semi-classical approximation

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arxiv 1402.2070 v1 pith:VTDKRTEE submitted 2014-02-10 nucl-th

classification nucl-th
keywords relativisticnucleireproduceenergyisotopesmonopoleotherparameter
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abstract

Within the frame-work of relativistic Thomas-Fermi and relativistic extended Thomas-Fermi approximations, we calculate the giant monopole resonance (GMR) excitation energies for Sn and related nuclei. A large number of non-linear relativistic force parameters are used in this calculations. We find that a parameter set is capable to reproduce the experimental monopole energy of Sn isotopes, when its nuclear matter compressibility lies within $210-230$ MeV, however fails to reproduce the GMR energy of other related nuclei. That means, simultaneously a parameter set can not reproduce the GMR values of Sn and other nuclei.

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