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Bilinear symmetry-breaking terms in the sigma model

Journal Article · · Phys. Rev., D; (United States)
We have studied the sigma model with additional symmetry-breaking terms which are bilinear in meson fields. The meson masses and meson decay constants are treated as functions of xi, the ratio of SU(3) octet to singlet vacuum symmetry breaking. We find that all bilinear-symmetry-breaking models except one are not smooth in xi. This nonsmoothness arises because in some cases, M/sub S/..pi.. and M/sub S/K-italic, and in one case c, the ratio of SU(3) octet to singlet explicit symmetry breaking, becomes imaginary. The model in which solutions are smooth does not predict F/sub K//F/sub ..pi../ in the experimental range.
Research Organization:
Physics Department, Ramjas College, Delhi University, Delhi-110007, India
OSTI ID:
7222910
Journal Information:
Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:7; ISSN PRVDA
Country of Publication:
United States
Language:
English