Elastic $\pi -N$ scattering in the $I=3/2$ channel

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.

Comments: 9 pages, 5 figures; Proceedings of the 38th International Symposium on Lattice Field Theory - Lattice 2021, Zoom/Gather@Massachusetts Institute of Technology