-wave pion nucleon scattering lengths from, pionic hydrogen, and deuteron data
- 12 October 2004
- journal article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 70 (4)
- https://doi.org/10.1103/physrevc.70.045203
Abstract
The isoscalar and isovector scattering lengths (b_0,b_1) are determined using a unitarized coupled channel approach based on chiral Lagrangians. Using experimental values of pionic hydrogen and deuterium as well as low energy pi N scattering data, the free parameters of the model are calculated. Isospin violation is incorporated to a certain extent by working with physical particle masses. For the deuterium scattering length a_{pi-d} new significant corrections concerning real and imaginary parts are evaluated, putting new constraints from pi-d scattering on the values of (b_0,b_1). In particular, dispersion corrections, the influence of the Delta(1232) resonance, crossed terms and multiple scattering in a Faddeev approach are considered.Comment: 24 pages, 9 figureKeywords
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