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Three pion nucleon coupling constants

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arxiv 1606.02171 v2 pith:YGYOGSCA submitted 2016-06-07 nucl-th hep-phnucl-ex

classification nucl-thhep-phnucl-ex
keywords constantscouplingdatadownidenticalnucleonpionquad
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

There exist four pion nucleon coupling constants, $f_{\pi^0, pp}$, $-f_{\pi^0, nn}$, $f_{\pi^+, pn} /\sqrt{2}$ and $ 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 $$f_p^2 = 0.0759(4) \, , \quad f_{0}^2 = 0.079(1) \,, \quad f_{c}^2 = 0.0763(6) \, , $$ based on a partial wave analysis of the $3\sigma$ self-consistent nucleon-nucleon Granada-2013 database comprising 6713 published data in the period 1950-2013.

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  1. Symmetry breaking effects in pion couplings to constituent quark currents

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    With unequal up and down quark masses, the neutral pion couples differently to up and down constituent quarks and acquires a tiny coupling to strange quarks, but matching the nucleon hierarchy needs an ad hoc rescalin...

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