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Prog. Theor. Phys. Vol. 105 No. 3 (2001) pp. 437-448

Solution of the Dirac Equation with an Axial Vector Current in the Chiral SU(2)⊗SU(2) Model

Koichi Takahashi and Toshitaka Tatsumi^*

College of Liberal Arts, Tohoku Gakuin University, Sendai 981-3193, Japan
^*Department of Physics, Kyoto University, Kyoto 606-8502, Japan

(Received October 10, 2000)

Abstract:

A self-consistent solution of the Dirac equation in the presence of a source consisting of an axial vector current is sought in the standard chiral SU(2)⊗SU(2) model of nucleons and mesons. It is found that the nucleons obey the Dautry-Nyman dispersion relation and are strongly polarized when the σ and π⁰ form a standing wave with non-vanishing axial current. A criterion for such an axial wave condensation (AWC) is presented. Neutron star whose core is in the AWC phase is expected to have a dipole magnetic field of order 10^{15 – 16} G.

URL : http://ptp.ipap.jp/link?PTP/105/437/
DOI : 10.1143/PTP.105.437

[ Full Text PDF : FREE ACCESS (617K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 108 No. 4 (2002) pp. 689-701 :

   Pion Condensation and Magnetism in Neutron Stars

   Koichi Takahashi

2. Progress of Theoretical Physics Vol. 110 No. 1 (2003) pp. 9-24 :

   A Model for Period Clustering of Long-Period Pulsars

   Koichi Takahashi

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