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

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.
Authors:
 [1] ;  [2] ;  [3]
  1. Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Old Dominion Univ., Norfolk, VA (United States); Univ. of Cambridge (United Kingdom)
Publication Date:
OSTI Identifier:
1252703
Report Number(s):
JLAB-THY--16-2216; DOE/OR/23177--3660; arXiv:1602.05122; DAMTP--2016-18
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
AC05-06OR23177; SC0006765; RG74916
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE; 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