Quark mass dependence of π π scattering in isospin 0, 1, and 2 from lattice QCD
Abstract
Using lattice QCD we extract π π scattering amplitudes with isospin 0, 1, and 2 in low partial-waves at two values of the light quark mass corresponding to mπ∼283 and 330 MeV. We confirm expectations of weak repulsion in isospin-2, and the presence of a narrow ρ resonance in isospin-1, and study the pion mass dependence of these channels. In isospin-0 we find that the two pion masses considered straddle the point at which the σ transitions from being a stable bound state to being either a virtual bound state or a subthreshold resonance. We discuss the ability of lattice calculations like these to precisely determine the σ pole location when it is a resonance, and propose an approach in which the full complement of amplitudes computed in this paper can be used simultaneously to provide more constraint.
- Publication:
-
Physical Review D
- Pub Date:
- August 2023
- DOI:
- 10.1103/PhysRevD.108.034513
- arXiv:
- arXiv:2303.10701
- Bibcode:
- 2023PhRvD.108c4513R
- Keywords:
-
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology
- E-Print:
- 18 pages, 17 figures, 1 table, corresponds to version published in PRD