PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Elastic π − N scattering in the I = 3/2 channel
F. Pittler*, C. Alexandrou, K. Hadjiannakou, G. Koutsou, S. Paul, M. Petschlies and A. Todaro
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Pre-published on: May 16, 2022
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Abstract
We present our study of $\pi-N$ scattering in the iso-spin $I=3/2$ channel
for the first time at the physical point. The calculation is performed using $N_f=2+1+1$ flavors of
twisted mass fermions with clover improvement at physical pion mass. We compute energy levels for the
rest frame and moving frames up to a total momentum of $|\vec{P}|=\sqrt{3} \,\frac{2\pi}{L}$,
and for all the relevant ireducible representations of the lattice symmetry groups. We perform a
phase-shift analysis including $s\,(\ell=0)$ and $p\,(\ell=1)$ wave phase shifts assuming a Breit-Wigner
form and determine the parameters of the $\Delta$ resonance.
DOI: https://doi.org/10.22323/1.396.0226
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