STRONG SU(2) BREAKING AND MASS SPLITTINGS IN PSEUDOSCALAR MESONS

Authors
Citation
An. Mitra, STRONG SU(2) BREAKING AND MASS SPLITTINGS IN PSEUDOSCALAR MESONS, International journal of modern physics A, 11(29), 1996, pp. 5245-5259
Citations number
23
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
ISSN journal
0217751X
Volume
11
Issue
29
Year of publication
1996
Pages
5245 - 5259
Database
ISI
SICI code
0217-751X(1996)11:29<5245:SSBAMS>2.0.ZU;2-#
Abstract
The mass splittings within the SU(2) multiplets of pseudoscalar mesons (pi, K, D, B) are used as a laboratory to determine the mass differen ce 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 lo ops. The second-order e.m. correction is also calculated with a photon line joining the two opposite quark lines in the self-energy loop. Th e basic ingredient is a hadron-quark-vertex function generated from a vector-exchange-like (chirally invariant) four-fermion Lagrangian (wit h current quarks) under dynamical symmetry breaking (D chi SB), precal ibrated to spectroscopy and other important low-energy amplitudes. The results which are expressed as proportional to the u-d mass differenc e delta(c), but are otherwise free from any adjustable parameters, rep roduce in a rather accurate way all the SU(2) mass differences (from k aon 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.