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HK: Hadronen und Kerne
HK 62: Hadronic Probes VI, Resonances, Reactions
HK 62.5: Vortrag
Donnerstag, 19. März 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) · 10−3Mπ−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.