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Neutral pion photoproduction on the proton near threshold and the chiral symmetry

Author Affiliations
University of Dhaka, Aligarh Muslim University
Published InPhysical Review C
Year1989
Citations21

Abstract

The recent precise measurements of the neutral pion photoproduction on the proton near threshold seems to be inconsistent with the predictions of the low-energy theorems on photoproduction of pions. In this note, we have sought to resolve this problem, in the framework of an approximate SU(2)\ifmmode\times\else\texttimes\fi{}SU(2) symmetry of the pion-nucleon dynamics, by incorporating the contribution from the nucleon matrix elements of the equal-time commutator between the divergence of the axial-vector current and the electromagnetic current, which was introduced earlier by Furlan et al. We find that a mean value of the nonstrange quark mass m^=1/2(${m}_{u}$+${m}_{d}$)=(7\ifmmode\pm\else\textpm\fi{}2) MeV, leads to an estimate of the symmetry breaking terms compatible with experiment.
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