Determination of the pion-nucleon coupling constant and scattering lengths - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles Physical Review C Year : 2002

Determination of the pion-nucleon coupling constant and scattering lengths

Abstract

We critically evaluate the isovector GMO sum rule for forward pion-nucleon scattering using the recent precision measurements of negatively charged pion-proton and pion-deuteron scattering lengths from pionic atoms. We deduce the charged-pion-nucleon coupling constant, with careful attention to systematic and statistical uncertainties. This determination gives, directly from data a pseudoscalar coupling constant of 14.11+-0.05(statistical)+-0.19(systematic) or a pseudovector one of 0.0783(11). This value is intermediate between that of indirect methods and the direct determination from backward neutron-proton differential scattering cross sections. We also use the pionic atom data to deduce the coherent symmetric and antisymmetric sums of the negatively charged pion-proton and pion-neutron scattering lengths with high precision. The symmetric sum gives 0.0012+-0.0002(statistical)+-0.0008 (systematic) and the antisymmetric one 0.0895+-0.0003(statistical)+-0.0013(systematic), both in units of inverse charged pion-mass. For the need of the present analysis, we improve the theoretical description of the pion-deuteron scattering length.

Dates and versions

in2p3-00193736 , version 1 (04-12-2007)

Identifiers

Cite

T. E. O. Ericson, B. Loiseau, A. W. Thomas. Determination of the pion-nucleon coupling constant and scattering lengths. Physical Review C, 2002, 66, pp.014005. ⟨10.1103/PhysRevC.66.014005⟩. ⟨in2p3-00193736⟩
12 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More