# 36th Annual International Symposium on Lattice Field Theory

Jul 22 – 28, 2018
Kellogg Hotel and Conference Center
EST timezone

## Towards the P-wave nucleon-pion scattering amplitude in the $\Delta$ (1232) channel: Phase shift analysis

Jul 27, 2018, 4:50 PM
20m
105 (Kellogg Hotel and Conference Center)

### 105

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824

### Speaker

Mr SRIJIT PAUL (The Cyprus Institute)

### Description

The study of strong scattering in Lattice QCD is enabled by the use of the Luescher method, which defines a mapping between the two body spectrum in the finite volume and the infinite volume scattering amplitude.This talk focuses on the study of $\pi N$ scattering in $P$-wave and $I=\frac{3}{2}$, where the $\Delta$ resonance resides. We use $N_f=2+1$ flavors of tree-level improved Wilson-clover quarks corresponding to a pion mass of $\sim 250$ MeV with lattice size $3.7$ fm, where $\Delta$ is unstable. We aim to discuss the mapping of energy levels to scattering phase shifts.

### Primary authors

Mr Giorgio Silvi (Forschungszentrum Jülich - University of Wuppertal) Mr SRIJIT PAUL (The Cyprus Institute)

### Co-authors

Andrew Pochinsky (MIT) Prof. Constantia Alexandrou (The Cyprus Institute, University of Cyprus) Prof. John Negele Negele (MIT) Dr Marcus Petschlies (University Bonn) Prof. Sergey Syritsyn (Stony Brook University (SUNY)) Stefan Meinel (University of Arizona)

 Slides