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

Mitra, A. N. (1996) Strong SU(2) breaking and mass splittings in pseudoscalar mesons International Journal of Modern Physics A, 11 (29). pp. 5245-5259. ISSN 0217-751X

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Official URL: http://www.worldscinet.com/ijmpa/11/1129/S0217751X...

Related URL: http://dx.doi.org/10.1142/S0217751X96002406

Abstract

The mass splittings within the SU(2) multiplets of pseudoscalar mesons (π, 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 (DχSB), precalibrated to spectroscopy and other important low-energy amplitudes. The results which are expressed as proportional to the u-d mass difference δc, 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 δc = 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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