6533b852fe1ef96bd12aa89a
RESEARCH PRODUCT
S-wave pion nucleon scattering lengths from $\pi N$, pionic hydrogen and deuteron data
Michael DöringEulogio Oset BáguenaManuel José Vicente Vacassubject
Nuclear TheoryNuclear TheoryFísicadescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-02-25 |