New mass and mass-mixing angle relations for pseudoscalar mesons

被引:21
作者
Burakovsky, L [1 ]
Goldman, T [1 ]
机构
[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
关键词
Schwinger's formula; Gell-Mann-Okubo; chiral Lagrangian; pseudoscalar mesons;
D O I
10.1016/S0370-2693(98)00365-7
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the origins of the inaccuracies of Schwinger's nonet mass, and the Sakurai mass-mixing angle, formulae for the pseudoscalar meson nonet, and suggest new versions of them, modified by the inclusion of the pseudoscalar decay constants. We use these new formulae to determine the pseudoscalar decay constants and mixing angle. The results obtained, f(8)/f(pi) = 1.185 +/- 0.040, f(q)/f(pi) = 1.095 +/- 0.020, f(eta)/f(pi) = 1.085 +/- 0.025, f(eta)/f(pi) = 1.195 +/- 0.035, theta = (- 21.4 +/- 1.0)degrees, are in excellent agreement with experiment. (C) 1998 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:361 / 370
页数:10
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