# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## Towards the finite-volume spectrum of the Roper resonance

Aug 8, 2022, 3:40 PM
20m
CP1-HSZ/Ground-0.010 - HS2 (CP1-HSZ)

### CP1-HSZ/Ground-0.010 - HS2

#### CP1-HSZ

450
Oral Presentation Hadron Spectroscopy and Interactions

### Speaker

Daniel Severt (Helmholtz-Institut für Strahlen- und Kernphysik)

### Description

We investigate the energy levels corresponding to the Roper resonance based on a two-flavor chiral effective Lagrangian at leading one-loop order. We show that the Roper mass can be extracted from these levels for not too large lattice volumes.
Further, to include three body dynamics, such as $N \pi \pi$, we introduce a non-relativistic effective field theory for the Roper resonance within a covariant particle-dimer picture. This particle-dimer approach is a suitable framework to investigate three particle scattering relevant for the Roper channel. We analyze the appearing dimer fields, calculate the energy levels of the Roper resonance in a finite volume and compare the obtained energy levels with the results from the fully relativistic chiral effective Lagrangian.

### Primary author

Daniel Severt (Helmholtz-Institut für Strahlen- und Kernphysik)