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

Abstract

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:
; ; ; ;
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Contributing Org.:
Hadron Spectrum Collaboration
OSTI Identifier:
1429136
Alternate Identifier(s):
OSTI ID: 1429642
Report Number(s):
JLAB-THY-17-2534; DOE/OR/23177-4200; arXiv:1708.06667
Journal ID: ISSN 2470-0010; PRVDAQ; 054513
Grant/Contract Number:  
AC05-00OR22725; AC02-05CH11231; AC05-06OR23177; SC0016952; 749850-XXQCD
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Briceño, Raul A., Dudek, Jozef J., Edwards, Robert G., Wilson, David J., and for the Hadron Spectrum Collaboration. Isoscalar π π ,   K K ¯ ,   η η scattering and the σ ,   f 0 ,   f 2 mesons from QCD. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.054513.
Briceño, Raul A., Dudek, Jozef J., Edwards, Robert G., Wilson, David J., & for the Hadron Spectrum Collaboration. Isoscalar π π ,   K K ¯ ,   η η scattering and the σ ,   f 0 ,   f 2 mesons from QCD. United States. doi:10.1103/PhysRevD.97.054513.
Briceño, Raul A., Dudek, Jozef J., Edwards, Robert G., Wilson, David J., and for the Hadron Spectrum Collaboration. Fri . "Isoscalar π π ,   K K ¯ ,   η η scattering and the σ ,   f 0 ,   f 2 mesons from QCD". United States. doi:10.1103/PhysRevD.97.054513.
@article{osti_1429136,
title = {Isoscalar π π ,   K K ¯ ,   η η scattering and the σ ,   f 0 ,   f 2 mesons from QCD},
author = {Briceño, Raul A. and Dudek, Jozef J. and Edwards, Robert G. and Wilson, David J. and for the Hadron Spectrum Collaboration},
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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.054513

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Cited by: 10 works
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