Pionic Properties of Finite Nuclei

概要

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Dynamics of nuclei which is induced by pions exchanged between nucleons is studied in view of pion condensation. Formulating a wave equation for pions propagating in a nuclear system, we investigate pionic eigenmodes of the nucleus. The threshold for pion condensation severely depends on the nuclear correlation parameter g'. We obtain the critical correlation parameter g'_c=0. 58 for pion condensation in ^<16>, while the physical value of g' in the nucleus is estimated to be in the region 0. 8≳g'≳0. 5. In the case g'<g'_c, the shell model state is unstable for some pionic eigenmodes and pions are condensed. In the coherent state approximation, we express a nuclear Hartree state, in which some symmetries are broken due to the Hartee potential induced by the pion field. A physical nuclear state is obtained by projecting the Hartree state onto an eigenstate of nuclear quantum numbers. Some excited states which are pionic-analogue to the ground state are predicted from the projection.
理論物理学刊行会の論文
1980-09-25