Speaker
Description
Interactions between a meson and a nucleon play an important role in a variety of phenomena such as the partial restoration of chiral symmetry and the structure of exotic hadrons and nuclei. Although kaon-nucleon scattering experiments have been performed since the 1960s, our understanding of the interactions remains limited due to a lack of experimental data at low momenta, making it difficult to accurately elucidate the related physics. On the other hand, recent developments in computational power and lattice QCD techniques have enabled a precise determination of hadron interactions from first principles. In this study, we investigate the S-wave kaon-nucleon interactions in lattice QCD using the time-dependent HAL QCD method. The calculation is performed with $N_f=2+1$ quark flavors at the physical point, $m_{\pi}\approx 137$ MeV, using the configurations generated by HAL QCD Collaboration, “HAL-conf-2023”.
The resulting interaction potential exhibits a purely repulsive behavior for isospin $I=1$, while for $I=0$ a slight attractive pocket is observed in addition to repulsion. The obtained scattering observables are qualitatively consistent with the experimental results. Particularly, our results suggest the P-wave dominance at low momentum for $I=0$. Furthermore, our results indicate that there are no bound or resonant states corresponding to the $\Theta^{+}$ pentaquark in this system.
| Parallel Session (for talks only) | Hadronic and nuclear spectrum and interactions |
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