Relativistic Mean Field Theory with Pion Field for Finite Nuclei

概要

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We have developed the RMF theory which include the pion on the same footing as the other mesons, with recognition of the importance of the pion. To include the pion in a mean field framework we introduce the parity and the charge symmetry breaking single particle states. We apply the new framework to N = Z nuclei and find that the pion field becomes finite for these nuclei and has the large effect on the binding energy. We find the difference of the pion energy between the jj-closed and LS-closed shell nuclei. We have just started the study of nuclear structure with the new RMF theory with a pion field. We need many modifications to establish our framework. At first, Fock term, which is neglected in the present mean field approximation, should be included to take into account the exchange effect. Furthermore, the tensor coupling of the rho meson, which produces the tensor force having the opposite sign to the one from the pion, should be implemented. We must re-fit the parameters in our model including the pion terms to reproduce the properties of finite nuclei. We are going to study the properties of the ground states and the responses to external fields (στ, etc.) in the presence of the finite pion field. We hope to obtain the new understanding of the roles of the mesons in nuclear structure through the study.
理論物理学刊行会の論文
2002-12-26