Publications
Publication Information
| Title | The quark mass dependence of $\pi \pi$ scattering in isospin 0, 1 and 2 from lattice QCD. |
| Authors | Arkaitz Rodas, Jozef Dudek, Robert Edwards |
| JLAB number | JLAB-THY-23-3778 |
| LANL number | (None) |
| Other number | DOE/OR/23177-5787 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | DE-SC0018416 |
|
Journal Compiled for Physical Review D Volume 108 Page(s) 034513 | |
| Publication Abstract: | 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. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.108.034513 |
| Accepted Manuscript: | PhysRevD.108.034513.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |