skip to main content

DOE PAGESDOE PAGES

Title: Isoscalar π π Scattering and the σ Meson Resonance from QCD

Here, we present for the first time a determination of the energy dependence of the isoscalar ππ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. We also compute the hadronic correlation functions including all required quark propagation diagrams. From these the discrete spectrum of states in the finite volume defined by the lattice boundary is extracted. From the volume dependence of the spectrum we obtain the S-wave phase-shift up to the K$$\bar{K}$$ threshold. Calculations are performed at two values of the u, d quark mass corresponding to m π = 236, 391 MeV and the resulting amplitudes are described in terms of a σ meson which evolves from a bound-state below ππ threshold at the heavier quark mass, to a broad resonance at the lighter quark mass.
Authors:
 [1] ;  [2] ;  [1] ;  [3]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States). Dept. of Physics
  3. Univ. of Cambridge (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics
Publication Date:
Report Number(s):
JLAB-THY-16-2287; DOE/OR/23177-3844; arXiv:1607.05900
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1701023
Grant/Contract Number:
AC05-00OR22725; AC02-05CH11231; AC05-06OR23177; SC0006765; OCI-0725070; ACI-1238993; RG74916
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 2; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Contributing Orgs:
for the Hadron Spectrum Collaboration
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1340904
Alternate Identifier(s):
OSTI ID: 1338659

Briceño, Raul A., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J.. Isoscalar ππ Scattering and the σ Meson Resonance from QCD. United States: N. p., Web. doi:10.1103/PhysRevLett.118.022002.
Briceño, Raul A., Dudek, Jozef J., Edwards, Robert G., & Wilson, David J.. Isoscalar ππ Scattering and the σ Meson Resonance from QCD. United States. doi:10.1103/PhysRevLett.118.022002.
Briceño, Raul A., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J.. 2017. "Isoscalar ππ Scattering and the σ Meson Resonance from QCD". United States. doi:10.1103/PhysRevLett.118.022002. https://www.osti.gov/servlets/purl/1340904.
@article{osti_1340904,
title = {Isoscalar ππ Scattering and the σ Meson Resonance from QCD},
author = {Briceño, Raul A. and Dudek, Jozef J. and Edwards, Robert G. and Wilson, David J.},
abstractNote = {Here, we present for the first time a determination of the energy dependence of the isoscalar ππ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. We also compute the hadronic correlation functions including all required quark propagation diagrams. From these the discrete spectrum of states in the finite volume defined by the lattice boundary is extracted. From the volume dependence of the spectrum we obtain the S-wave phase-shift up to the K$\bar{K}$ threshold. Calculations are performed at two values of the u, d quark mass corresponding to mπ = 236, 391 MeV and the resulting amplitudes are described in terms of a σ meson which evolves from a bound-state below ππ threshold at the heavier quark mass, to a broad resonance at the lighter quark mass.},
doi = {10.1103/PhysRevLett.118.022002},
journal = {Physical Review Letters},
number = 2,
volume = 118,
place = {United States},
year = {2017},
month = {1}
}