Strong SU(2) breaking and mass splittings in pseudoscalar mesons

被引:5
|
作者
Mitra, AN [1 ]
机构
[1] NATL INST ADV STUDIES,BANGALORE 560012,KARNATAKA,INDIA
来源
关键词
D O I
10.1142/S0217751X96002406
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
The mass splittings within the SU(2) multiplets of pseudoscalar mesons (pi, K, D, B) are used as a laboratory to determine the mass difference between d and u quarks (current), through the simplest (two-point) quark-loop diagrams for the self-energies of the corresponding hadrons, together with the associated quark-condensate diagrams within the loops. The second-order e.m. correction is also calculated with a photon line joining the two opposite quark lines in the self-energy loop. The basic ingredient is a hadron-quark-vertex function generated from a vector-exchange-like (chirally invariant) four-fermion Lagrangian (with current quarks) under dynamical symmetry breaking (D chi SB), precalibrated to spectroscopy and other important low-energy amplitudes. The results which are expressed as proportional to the u-d mass difference delta(c), but are otherwise free from any adjustable parameters, reproduce in a rather accurate way all the SU(2) mass differences (from kaon to bottom) with delta(c) = 4.0 MeV, when all the three self-energy diagrams are included. The pion receives only e.m. contributions with a value 5.24 MeV.
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页码:5245 / 5259
页数:15
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