Effects of the Dirac Sea on the Giant Monopole States

Details Effects of the Dirac Sea on the Giant Monopole States Effects of the Dirac Sea on the Giant Monopole States

1999-09-17

arxiv.org/abs/nucl-th/9909042v1

Phys.Lett. B474 (2000) 262-268

Physics

Nuclear Physics

Nuclear Theory

11 pages, latex with elsart.cls, no figures

Scientific paper

10.1016/S0370-2693(00)00046-0

Effects of the Dirac sea on the excitation energy of the giant monopole states are investigated in an analytic way within the $\sigma-\omega$ model. The excitation energy is determined by the relativistic Landau-Migdal parameters, $F_0$ and $F_1$. Their analytic expressions are derived in the relativistic random phase approximation(RRPA) without the Dirac sea, with the Pauli blocking terms and with the full Dirac sea. It is shown that in the RRPA based on the mean field approximation the Pauli blocking terms should be included in the configuration space, according to the relativistic Landau theory. In the renormalized RRPA, the incompressibility coefficient becomes negative, if N$\nbar$ excitations are neglected.

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