Journal Article

Relativistic Mean-Field Theory with the Pion in Finite Nuclei

Hiroshi Toki, Satoru Sugimoto and Kiyomi Ikeda

in Progress of Theoretical Physics

Published on behalf of The Physical Society of Japan

Volume 108, issue 5, pages 903-916
Published in print November 2002 | ISSN: 0033-068X
Published online November 2002 | e-ISSN: 1347-4081 | DOI: https://dx.doi.org/10.1143/PTP.108.903
Relativistic Mean-Field Theory with the Pion in Finite Nuclei

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We study the possibility of the existence of a finite pion mean field in finite nuclei in the relativistic mean-field (RMF) theory. We are led to conjecture this existence by findings of the essential role of the pion in few-body systems and (p,n) experiments for spin-isospin excitations of medium and heavy nuclei. We carry out explicit calculations for various N=Z closed shell nuclei with a finite pion mean field in the RMF theory with the standard parameter set and pion-nucleon coupling in free space. We find that the finite pion mean field breaks the parity symmetry of the intrinsic single-particle states. We demonstrate the actual existence and elucidate the properties of the finite pion mean field, whose qualitative consequences for various observables are also briefly discussed.

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