Publications
Publication Information
| Title | Determination of crossing-symmetric p p scattering amplitudes and the quark mass evolution of the s constrained by lattice QCD |
| Authors | Arkaitz Rodas, Jozef Dudek, Robert Edwards |
| JLAB number | JLAB-THY-23-3791 |
| LANL number | (None) |
| Other number | DOE/OR/23177-5982 |
| 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 109 Page(s) 034513 | |
| Publication Abstract: | Lattice QCD spectra can be used to constrain partial-wave scattering amplitudes that, while satisfying unitarity, do not have to respect crossing symmetry and analyticity. This becomes a particular problem when extrapolated far from real energies, e.g. in the case of broad resonances like the $\sigma$, leading to large systematic uncertainties in the pole position. In this letter, we will show how dispersion relations can implement the additional constraints, using as input lattice--determined $\pi\pi$ partial wave scattering amplitudes with isospin--0,1,2. We will show that only certain combinations of amplitude parameterizations satisfy all constraints, and that when we restrict to these, the $\sigma$ pole position is determined with minimal systematic uncertainty. The evolution of the now well-constrained $\sigma$ pole with varying light quark mass is presented, showing how it transitions from a bound-state to a broad resonance. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.109.034513 |
| Accepted Manuscript: | PhysRevD.109.034513.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |