2004/02/29 by M. Döring, M. Doring, E. Oset +1 · 2 citations
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.70.045203
published as Phys.Rev.C70:045203,2004 · 24 pages, 9 figures
arxiv created 2004/08/05 · openalex publication_date 2004/10/12 · arxiv updated 2011/02/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
The isoscalar and isovector scattering lengths (b0,b1) 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 \ensuremathπN 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_\ensuremathπ^\ensuremath-d new significant corrections concerning real and imaginary parts are evaluated, putting new constraints from \ensuremathπ^\ensuremath-d scattering on the values of (b0,b1). In particular, dispersion corrections, the influence of the \ensuremathΔ(1232) resonance, crossed terms and multiple scattering in a Faddeev approach are considered.