skip to main content

DOE PAGESDOE PAGES

Title: Isoscalar π π , K K ¯ , η η scattering and the σ , f 0 , f 2 mesons from QCD

We present the first lattice QCD study of coupled isoscalar $$\pi\pi,K\overline{K},\eta\eta$$ $S$- and $D$-wave scattering extracted from discrete finite-volume spectra computed on lattices which have a value of the quark mass corresponding to $$m_\pi\sim391$$ MeV. In the $J^P=0^+$ sector we find analogues of the experimental $$\sigma$$ and $$f_0(980)$$ states, where the $$\sigma$$ appears as a stable bound-state below $$\pi\pi$$ threshold, and, similar to what is seen in experiment, the $$f_0(980)$$ manifests itself as a dip in the $$\pi\pi$$ cross section in the vicinity of the $$K\overline{K}$$ threshold. For $J^P=2^+$ we find two states resembling the $$f_2(1270)$$ and $$f_2'(1525)$$, observed as narrow peaks, with the lighter state dominantly decaying to $$\pi\pi$$ and the heavier state to $$K\overline{K}$$. The presence of all these states is determined rigorously by finding the pole singularity content of scattering amplitudes, and their couplings to decay channels are established using the residues of the poles.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Department of Physics
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States). Department of Physics
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  4. Trinity College, Dublin (Ireland). School of Mathematics
Publication Date:
Report Number(s):
JLAB-THY-17-2534; DOE/OR/23177-4200; arXiv:1708.06667
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
AC05-00OR22725; AC02-05CH11231; AC05-06OR23177; SC0016952; 749850-XXQCD
Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Contributing Orgs:
Hadron Spectrum Collaboration
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1429136
Alternate Identifier(s):
OSTI ID: 1429642

Briceno, Raul A., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J.. Isoscalar ππ, KK¯, ηη scattering and the σ, f0, f2 mesons from QCD. United States: N. p., Web. doi:10.1103/PhysRevD.97.054513.
Briceno, Raul A., Dudek, Jozef J., Edwards, Robert G., & Wilson, David J.. Isoscalar ππ, KK¯, ηη scattering and the σ, f0, f2 mesons from QCD. United States. doi:10.1103/PhysRevD.97.054513.
Briceno, Raul A., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J.. 2018. "Isoscalar ππ, KK¯, ηη scattering and the σ, f0, f2 mesons from QCD". United States. doi:10.1103/PhysRevD.97.054513.
@article{osti_1429136,
title = {Isoscalar ππ, KK¯, ηη scattering and the σ, f0, f2 mesons from QCD},
author = {Briceno, Raul A. and Dudek, Jozef J. and Edwards, Robert G. and Wilson, David J.},
abstractNote = {We present the first lattice QCD study of coupled isoscalar $\pi\pi,K\overline{K},\eta\eta$ $S$- and $D$-wave scattering extracted from discrete finite-volume spectra computed on lattices which have a value of the quark mass corresponding to $m_\pi\sim391$ MeV. In the $J^P=0^+$ sector we find analogues of the experimental $\sigma$ and $f_0(980)$ states, where the $\sigma$ appears as a stable bound-state below $\pi\pi$ threshold, and, similar to what is seen in experiment, the $f_0(980)$ manifests itself as a dip in the $\pi\pi$ cross section in the vicinity of the $K\overline{K}$ threshold. For $J^P=2^+$ we find two states resembling the $f_2(1270)$ and $f_2'(1525)$, observed as narrow peaks, with the lighter state dominantly decaying to $\pi\pi$ and the heavier state to $K\overline{K}$. The presence of all these states is determined rigorously by finding the pole singularity content of scattering amplitudes, and their couplings to decay channels are established using the residues of the poles.},
doi = {10.1103/PhysRevD.97.054513},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}