Chiral prediction for the πNS-wave scattering length $a^{-}$ to order O( $M_{π}^{4}$ )

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1 October 1995

journal article
research article
Published by American Physical Society (APS) in Physical Review C

Vol. 52 (4) , 2185-2187
https://doi.org/10.1103/physrevc.52.2185

Abstract

We evaluate the S-wave pion-nucleon scattering length

a^{-}

in the framework of heavy baryon chiral perturbation theory up-to-and-including terms of order

M_{π}^{4}

. We show that the order

M_{π}^{4}

piece of the isovector amplitude at threshold,

T_{thr}^{-}

, vanishes exactly. We predict for the isovector scattering length, 0.088

M_{π^{+}}^{- 1}

≤

a^{-}

≤0.096

M_{π^{+}}^{- 1}

.

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This publication has 13 references indexed in Scilit:

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