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

Briceño, Raul A.; Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.

doi:10.1103/PhysRevD.97.054513

Title: Isoscalar $π π, K \bar{K}, η η$ scattering and the $σ, f_{0}, f_{2}$ mesons from QCD

Journal Article · Fri Mar 23 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.054513· OSTI ID:1429136

Briceño, Raul A.; Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.

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.

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Research Organization:: 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 Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Organization:: Hadron Spectrum Collaboration

Grant/Contract Number:: AC05-00OR22725; AC02-05CH11231; AC05-06OR23177; SC0016952; 749850-XXQCD

OSTI ID:: 1429136

Alternate ID(s):: OSTI ID: 1429642

Report Number(s):: JLAB-THY-17-2534; DOE/OR/23177-4200; arXiv:1708.06667; PRVDAQ; 054513

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 67 works

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η_{c} π^{0} γ

\sqrt{s}

from 4.18 to 4.60 GeV, and search for a

Z_{c}

state close to the

D \bar{D}

threshold decaying to

η_{c} π

\sqrt{s} = 4.23 GeV

Journal Article · Thu Feb 25 00:00:00 EST 2021 · Physical Review D · OSTI ID:1429136

Ablikim, M.; Achasov, M. N.; Adlarson, P.; +495 more

Observation of

D^{+} \to f_{0} (500) e^{+} ν_{e}

and Improved Measurements of

D \to ρ e^{+} ν_{e}

Journal Article · Wed Feb 13 00:00:00 EST 2019 · Physical Review Letters · OSTI ID:1429136

Ablikim, M.; Achasov, M. N.; Ahmed, S.; +463 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

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

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Title: Isoscalar $π π, K \bar{K}, η η$ scattering and the $σ, f_{0}, f_{2}$ mesons from QCD