PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Progress on Meson-Baryon Scattering
C. Morningstar*, J. Bulava, A. Hanlon, B. Hörz, D. Mohler, A. Nicholson, S. Skinner and A. Walker-Loud
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Pre-published on: May 16, 2022
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Abstract
Progress in computing various meson-baryon scattering amplitudes is presented
on a single ensemble from the Coordinated Lattice Simulations (CLS) consortium with
$m_\pi=200$ MeV and $N_f=2+1$ dynamical fermions. The finite-volume Luscher 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 $I=\frac{1}{2}, \frac{3}{2}$ $N\pi$ amplitudes including the
$\Delta(1232)$ resonance and the $I=0$ $S$-wave amplitude with unit strangeness
relevant for the $\Lambda(1405)$.
DOI: https://doi.org/10.22323/1.396.0170
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