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HK: Hadronen und Kerne

HK 62: Hadronic Probes VI, Resonances, Reactions

HK 62.5: Talk

Thursday, March 19, 1998, 15:30–15:45, C

The S-wave isoscalar pion–nucleon scattering length a⁺ from pion scattering off deuterium — •Ulf-G. Meißner⁴, S.R. Beane¹, V. Bernard², and T.-S.H. Lee³ — ¹Univ. Maryland, Physics Dept., USA — ²Univ. Louis Pasteur,Strasbourg, Frankreich — ³Argonne Nat. Lab., USA — ⁴FZ Jülich, IKP (Th)

We consider constraints on the isoscalar S-wave π-N scattering length a⁺ from π-deuteron scattering, to third order in small momenta and pion masses in chiral perturbation theory [1,2]. To this order, the π-deuteron scattering length is determined by a⁺ together with three-body corrections that involve no undetermined parameters. We find a⁺ = −(3.0±0.5) · 10⁻³M_π⁻¹ [2] which is compatible with recent determinations from the line shift and width of pionic hydrogen measured at PSI. We also extract a novel value for a combination of dimension two low–energy constants which is in agreement with previous determinations.

[1] S. Weinberg, Phys. Lett. B295 (1992) 114.

[2] S.R. Beane et al., [nucl-th/9708035], Phys. Rev. C, in print.