English

Three pion nucleon coupling constants

Nuclear Theory 2016-09-21 v2 High Energy Physics - Phenomenology Nuclear Experiment

Abstract

There exist four pion nucleon coupling constants, fπ0,ppf_{\pi^0, pp}, fπ0,nn-f_{\pi^0, nn}, fπ+,pn/2f_{\pi^+, pn} /\sqrt{2} and fπ,np/2 f_{\pi^-, np} /\sqrt{2} which coincide when up and down quark masses are identical and the electron charge is zero. While there is no reason why the pion-nucleon-nucleon coupling constants should be identical in the real world, one expects that the small differences might be pinned down from a sufficiently large number of independent and mutually consistent data. Our discussion provides a rationale for our recent determination fp2=0.0759(4),f02=0.079(1),fc2=0.0763(6),f_p^2 = 0.0759(4) \, , \quad f_{0}^2 = 0.079(1) \,, \quad f_{c}^2 = 0.0763(6) \, , based on a partial wave analysis of the 3σ3\sigma self-consistent nucleon-nucleon Granada-2013 database comprising 6713 published data in the period 1950-2013.

Keywords

Cite

@article{arxiv.1606.02171,
  title  = {Three pion nucleon coupling constants},
  author = {E. Ruiz Arriola and J. E. Amaro and R. Navarro Perez},
  journal= {arXiv preprint arXiv:1606.02171},
  year   = {2016}
}

Comments

15 pages, 6 figures. Invited talk at the Workshop on Determination of the Fundamental Parameters in QCD, Mainz Institute of Theoretical Physics, Johannes Gutenberg University of Mainz. Corrected Version matching publication in Mod. Phys. Lett. A

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