Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering

Preprint

27 October 2010

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1003.4444

Abstract

We present a calculation of the pi^- d scattering length with an accuracy of a few percent using chiral perturbation theory. For the first time isospin-violating corrections are included consistently. Using data on pionic deuterium and pionic hydrogen atoms, we extract the isoscalar and isovector pion-nucleon scattering lengths and obtain a^+=(7.6 +/- 3.1) x 10^{-3} mpi^{-1} and a^-=(86.1 +/- 0.9) x 10^{-3} mpi^{-1}. Via the Goldberger-Miyazawa-Oehme sum rule, this leads to a charged-pion-nucleon coupling constant g_c^2/4 pi = 13.69 +/- 0.20.

Keywords

PRECISION CALCULATION
PERTURBATION THEORY
DEUTERON SCATTERING
SCATTERING LENGTH
PION NUCLEON
MPI

All Related Versions

Version 1, 2010-03-23, ArXiv
Version 2, 2010-10-27, ArXiv
Published version: Physics Letters B, 694 (4-5), 473.

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