Publications
Publication Information
| Title | The quark-mass dependence of elastic K\pi scattering from QCD |
| Authors | David Wilson, Raul Briceno, Jozef Dudek, Robert Edwards, Christopher Thomas |
| JLAB number | JLAB-THY-19-2911 |
| LANL number | arXiv:1904.03188 |
| Other number | DOE/OR/23177-4665 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | Royal Society–Science Foundation Ireland |
|
Journal Compiled for Physical Review Letters Volume 123 Page(s) 042002 Refereed | |
| Publication Abstract: | We present a determination of the isospin-$\frac{1}{2}$ elastic $\pi K$ scattering amplitudes in $S$ and $P$ partial waves using lattice Quantum Chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as a function of light-quark mass, corresponding to four pion masses between 200 and 400 MeV. Below the first inelastic threshold, the $P$-wave scattering amplitude is dominated by a single pole singularity that evolves from being a stable bound-state at the highest quark mass into a narrow resonance that broadens as the pion and kaon masses are reduced. As in experiment, the $S$-wave amplitude does not exhibit an obviously resonant behavior, but instead shows a slow rise from threshold, which is not inconsistent with the presence of a $\kappa$/$K_0^\star(700)$-like resonance at the considered quark masses. As has been found in analyses of experimental scattering data, simple analytic continuations into the complex energy plane of precisely-determined lattice QCD amplitudes on the real energy axis are not sufficient to model-independently determine the existence and properties of this state. The spectra and amplitudes we present will serve as an input for increasingly elaborate amplitude analysis techniques that implement more of the analytic structure expected at complex energies. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevLett.123.042002 |
| Accepted Manuscript: | PhysRevLett.123.042002.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |