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Isospin breaking in the pion-nucleon coupling from QCD sum rules

Journal Article · · Physical Review, C
 [1];  [2]
  1. Department of Physics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213 (United States)
  2. Department of Physics, University of Washington, Box 351560, Seattle, Washington 98195 (United States)

We use QCD sum rules for the three-point function of a pseudoscalar and two nucleonic currents in order to estimate the charge dependence of the pion-nucleon coupling constant g{sub NN{pi}} coming from isospin violation in the strong interaction. The effect can be attributed primarily to the difference of the quark condensates {l_angle}{bar u}u{r_angle} and {l_angle}{bar d}d{r_angle}. For the splitting (g{sub pp{pi}{sub 0}}{minus}g{sub nn{pi}{sub 0}})/g{sub NN{pi}} we obtain an interval of 1.2{times}10{sup {minus}2} to 3.7{times}10{sup {minus}2}, the uncertainties coming mainly from the input parameters. The charged pion nucleon coupling is found to be the average of g{sub pp{pi}{sub 0}} and g{sub nn{pi}{sub 0}}. Electromagnetic effects are not included. {copyright} {ital 1997} {ital The American Physical Society}

DOE Contract Number:
FG06-88ER40427
OSTI ID:
656100
Journal Information:
Physical Review, C, Journal Name: Physical Review, C Journal Issue: 6 Vol. 55; ISSN PRVCAN; ISSN 0556-2813
Country of Publication:
United States
Language:
English

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