An a0 resonance in strongly coupled πη, KK¯ scattering from lattice QCD

Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.

doi:10.1103/PhysRevD.93.094506

Title: An $a_{0}$ resonance in strongly coupled $π η$ , $K \bar{K}$ scattering from lattice QCD

Journal Article · Wed May 11 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.094506· OSTI ID:1252703

Dudek, Jozef J. ^[1]; Edwards, Robert G. ^[2]; Wilson, David J. ^[3]

Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Old Dominion Univ., Norfolk, VA (United States); Univ. of Cambridge (United Kingdom)

Here, we present the first calculation of coupled-channel meson-meson scattering in the isospin $=1$, $$G$$-parity negative sector, with channels $$\pi \eta$$, $$K\overline{K}$$ and $$\pi \eta'$$, in a first-principles approach to QCD. From the discrete spectrum of eigenstates in three volumes extracted from lattice QCD correlation functions we determine the energy dependence of the $$S$$-matrix, and find that the $$S$$-wave features a prominent cusp-like structure in $$\pi \eta \to \pi \eta$$ close to $$K\overline{K}$$ threshold coupled with a rapid turn on of amplitudes leading to the $$K\overline{K}$$ final-state. This behavior is traced to an $$a_0(980)$$-like resonance, strongly coupled to both $$\pi \eta$$ and $$K\overline{K}$$, which is identified with a pole in the complex energy plane, appearing on only a single unphysical Riemann sheet. Consideration of $$D$$-wave scattering suggests a narrow tensor resonance at higher energy.

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Research Organization:: Oak Ridge National Laboratory (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:: AC05-06OR23177; SC0006765; RG74916

OSTI ID:: 1252703

Alternate ID(s):: OSTI ID: 1252591

Report Number(s):: JLAB-THY-16-2216; DOE/OR/23177-3660; arXiv:1602.05122; DAMTP-2016-18; PRVDAQ; TRN: US1601711

Journal Information:: Physical Review D, Vol. 93, Issue 9; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 106 works

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Helicity operators for mesons in flight on the lattice Thomas, Christopher E.; Edwards, Robert G.; Dudek, Jozef J. arXiv https://doi.org/10.48550/arxiv.1107.1930	text	January 2011
Hybrid Baryons in QCD Dudek, Jozef J.; Edwards, Robert G. arXiv https://doi.org/10.48550/arxiv.1201.2349	text	January 2012
Excited spectroscopy of charmed mesons from lattice QCD Moir, Graham; Peardon, Michael; Ryan, Sinead M. arXiv https://doi.org/10.48550/arxiv.1301.7670	text	January 2013
Spectroscopy of triply-charmed baryons from lattice QCD Padmanath, M.; Edwards, Robert G.; Mathur, Nilmani arXiv https://doi.org/10.48550/arxiv.1307.7022	text	January 2013
Toward the excited isoscalar meson spectrum from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Guo, Peng arXiv https://doi.org/10.48550/arxiv.1309.2608	text	January 2013
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Spectroscopy of doubly-charmed baryons from lattice QCD Padmanath, M.; Edwards, Robert G.; Mathur, Nilmani arXiv https://doi.org/10.48550/arxiv.1502.01845	text	January 2015
Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude Hansen, Maxwell T.; Sharpe, Stephen R. arXiv https://doi.org/10.48550/arxiv.1504.04248	text	January 2015
Perturbative results for two and three particle threshold energies in finite volume Hansen, Maxwell T.; Sharpe, Stephen R. arXiv https://doi.org/10.48550/arxiv.1509.07929	text	January 2015
A study of the centrally produced eta pi0 and eta pi- systems in pp interactions at 450 GeV/c Collaboration, The WA102; Barberis, D. arXiv https://doi.org/10.48550/arxiv.hep-ex/0007019	text	January 2000
Two Particle States in an Asymmetric Box and the Elastic Scattering Phases Feng, Xu; Li, Xin; Liu, Chuan arXiv https://doi.org/10.48550/arxiv.hep-lat/0404001	text	January 2004
Finite-Volume Effects for Two-Hadron States in Moving Frames Kim, C. h.; Sachrajda, C. T.; Sharpe, Stephen R. arXiv https://doi.org/10.48550/arxiv.hep-lat/0507006	text	January 2005
Finite Volume Corrections to the Two-Particle Decay of States with Non-Zero Momentum Christ, Norman H.; Kim, Changhoan; Yamazaki, Takeshi arXiv https://doi.org/10.48550/arxiv.hep-lat/0507009	text	January 2005
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Title: An $a_{0}$ resonance in strongly coupled $π η$ , $K \bar{K}$ scattering from lattice QCD