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# 36th Annual International Symposium on Lattice Field Theory

22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

## Towards the P-wave nucleon-pion scattering amplitude in the $\Delta$ (1232) channel: interpolating fields and spectra

Jul 27, 2018, 4:30 PM
20m
105 (Kellogg Hotel and Conference Center)

### 105

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824

### Speaker

Mr Giorgio Silvi (Forschungszentrum Jülich - University of Wuppertal)

### 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. It however requires full and precise knowledge of the spectrum in a given moving frame and irreducible representation. In this project we investigate the $\Delta$ (1232) resonance in the pion-nucleon system. The focus of the talk is on the group theoretical construction of single and multi hadron interpolating fields in various moving frames and irreducible representations. We construct a varied basis of interpolating fields in all of the relevant irreducible representations and determine the relevant energy levels.

### 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) Prof. John Negele Negele (MIT) Dr Marcus Petschlies (University Bonn) Prof. Sergey Syritsyn (Stony Brook University (SUNY)) Stefan Meinel (University of Arizona)

 Slides