English

Progress on Meson-Baryon Scattering

High Energy Physics - Lattice 2021-11-16 v1

Abstract

Progress in computing various meson-baryon scattering amplitudes is presented on a single ensemble from the Coordinated Lattice Simulations (CLS) consortium with mπ=200m_\pi=200 MeV and Nf=2+1N_f=2+1 dynamical fermions. The finite-volume L\"uscher approach is employed to determine the lowest few partial waves from ground- and excited-state energies computed from correlation matrices rotated in a single pivot using a generalized eigenvector solution. This analysis requires evaluating matrices of correlation functions between single- and two-hadron interpolating operators which are projected onto definite spatial momenta and finite-volume irreducible representations. The stochastic LapH method is used to estimate all needed quark propagators. Preliminary results are presented for I=12,32I=\frac{1}{2}, \frac{3}{2} NπN\pi amplitudes including the Δ(1232)\Delta(1232) resonance and the I=0I=0 SS-wave amplitude with unit strangeness relevant for the Λ(1405)\Lambda(1405).

Keywords

Cite

@article{arxiv.2111.07755,
  title  = {Progress on Meson-Baryon Scattering},
  author = {Colin Morningstar and John Bulava and Andrew D. Hanlon and Ben Hörz and Daniel Mohler and Amy Nicholson and Sarah Skinner and André Walker-Loud},
  journal= {arXiv preprint arXiv:2111.07755},
  year   = {2021}
}

Comments

The 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021 Zoom/Gather@Massachusetts Institute of Technology 9 pages, 4 figures

R2 v1 2026-06-24T07:38:47.766Z