Publications
Publication Information
| Title | Isoscalar pipi scattering and the sigma meson resonance from QCD |
| Authors | Robert Edwards, Jozef Dudek, Raul Briceno, David Wilson |
| JLAB number | JLAB-THY-16-2287 |
| LANL number | arXiv:1607.05900 |
| Other number | DOE/OR/23177-3844 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review Letters Volume 118 Issue 02 Page(s) 022002 Refereed | |
| Publication Abstract: | We present for the first time a determination of the energy dependence of the isoscalar $\pi\pi$ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed including all required quark propagation diagrams, and from these the discrete spectrum of states in the finite volume defined by the lattice boundary is extracted. From the volume dependence of the spectrum we obtain the $S$-wave phase-shift up to the $K\overline{K}$ threshold. Calculations are performed at two values of the $u,d$ quark mass corresponding to $m_\pi = 236, 391$ MeV and the resulting amplitudes are described in terms of a $\sigma$ meson which evolves from a bound-state below $\pi\pi$ threshold at the heavier quark mass, to a broad resonance at the lighter quark mass. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevLett.118.022002 |
| Accepted Manuscript: | paper.pdf embargoed final, peer reviewed, accepted manuscript |
| Supporting Documents: | |
| Supporting Datasets: | |