Scattering length from BS wave function inside the interaction range

2018/12/30 by Y. Namekawa, Namekawa, Y., T. Yamazaki +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1812.11521

openalex publication_date 2018/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We evaluate I=2 two-pion scattering length through the scattering amplitude obtained by the Bethe-Salpeter wave function inside the interaction range. The scattering length is computed with m_π= 0.52-0.86 GeV in the quenched lattice QCD. Furthermore, the half-off-shell amplitude is calculated, from which the effective range is extracted. Our results are compared with those by the conventional finite size method and by chiral perturbation theory to confirm consistency.

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