Quark mass dependence of $\pi \pi$ scattering in isospin 0, 1, and 2 from lattice QCD
| Autor: | Rodas, Arkaitz, Dudek, Jozef J., Edwards, Robert G. |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 108 (2023) 3, 034513 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.108.034513 |
| Popis: | Using lattice QCD we extract $\pi\pi$ scattering amplitudes with isospin--0,1,2 in low partial-waves at two values of the light quark mass corresponding to $m_\pi \sim 283$ and $330$ MeV. We confirm expectations of weak repulsion in isospin--2, and the presence of a narrow $\rho$ 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 $\sigma$ 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 $\sigma$ 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. Comment: 18 pages, 17 figures, 1 table, corresponds to version published in PRD |
| Databáze: | arXiv |
| Externí odkaz: |
|