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

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

The $\sigma$ resonance as a bound, virtual bound and resonant estate.

Aug 12, 2022, 5:00 PM
20m
CP1-HSZ/1st-1.004 - HS7 (CP1-HSZ)

CP1-HSZ/1st-1.004 - HS7

CP1-HSZ

70
Oral Presentation Hadron Spectroscopy and Interactions

Speaker

Arkaitz Rodas (College of William and Mary)

Description

We determine, from Lattice QCD, the elastic $\pi \pi$ scattering amplitude in the isoscalar $I=0$ channel, and the $\sigma$ resonance. We extract its lineshape for two different quark masses corresponding with $m_\pi \sim 283$ and $330$ MeV; where it is predicted that this state transitions from bound to virtual bound. In order to provide an accurate picture we use a high statistics volume for the heavier pion mass, and two for the lighter. The comparison between the two masses showcases very different lineshapes for the phase shifts. This is related to the different behavior of the $\sigma$ resonance for these values of its quark mass dependence.

Primary author

Arkaitz Rodas (College of William and Mary)

Co-authors

Prof. Jozef Dudek (College of William and Mary / Jefferson Lab) Robert Edwards (JLAB)