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Title: b 1 resonance in coupled π ω , π Φ scattering from lattice QCD

Abstract

We present the first lattice QCD calculation of coupled $$\pi\omega$$ and $$\pi\phi$$ scattering, incorporating coupled $S$ and $D$-wave $$\pi\omega$$ in $J^P=1^+$. Finite-volume spectra in three volumes are determined via a variational analysis of matrices of two-point correlation functions, computed using large bases of operators resembling single-meson, two-meson and three-meson structures, with the light-quark mass corresponding to a pion mass of $$m_\pi \approx 391$$ MeV. Utilising the relationship between the discrete spectrum of finite-volume energies and infinite-volume scattering amplitudes, we find a narrow axial-vector resonance ($$J^{PC}=1^{+-}$$), the analogue of the $$b_1$$ meson, with mass $$m_{R}\approx1380$$ MeV and width $$\Gamma_{R}\approx 91$$ MeV. The resonance is found to couple dominantly to $S$-wave $$\pi\omega$$, with a much-suppressed coupling to $D$-wave $$\pi\omega$$, and a negligible coupling to $$\pi\phi$$ consistent with the `OZI rule'. No resonant behavior is observed in $$\pi\phi$$, indicating the absence of a putative low-mass $$Z_s$$ analogue of the $$Z_c$$ claimed in $$\pi J/\psi$$. In order to minimally present the contents of a unitary three-channel scattering matrix, we introduce an $n$-channel generalization of the traditional two-channel Stapp parameterization.

Authors:
 [1];  [1]; ORCiD logo [2]; ORCiD logo [3];  [4]
  1. Univ. of Cambridge, Cambridge (United Kingdom)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  4. Trinity College, Dublin (Ireland)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Contributing Org.:
Hadron Spectrum Collaboration
OSTI Identifier:
1562569
Alternate Identifier(s):
OSTI ID: 1567053
Report Number(s):
JLAB-THY-19-2910; DOE/OR/; 23177-4664; arXiv:1904.04136; DAMTP-2019-12
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
ST/P000681/1; ST/P002307/1; ST/R002452/1; ST/R00689X/1; SC0018416; AC05-06OR23177; AC05-00OR22725; AC02-05CH11231; UF160419
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J. b1 resonance in coupled πω , πΦ scattering from lattice QCD. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.054506.
Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., & Wilson, David J. b1 resonance in coupled πω , πΦ scattering from lattice QCD. United States. doi:10.1103/PhysRevD.100.054506.
Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J. Wed . "b1 resonance in coupled πω , πΦ scattering from lattice QCD". United States. doi:10.1103/PhysRevD.100.054506.
@article{osti_1562569,
title = {b1 resonance in coupled πω , πΦ scattering from lattice QCD},
author = {Woss, Antoni J. and Thomas, Christopher E. and Dudek, Jozef J. and Edwards, Robert G. and Wilson, David J.},
abstractNote = {We present the first lattice QCD calculation of coupled $\pi\omega$ and $\pi\phi$ scattering, incorporating coupled $S$ and $D$-wave $\pi\omega$ in $J^P=1^+$. Finite-volume spectra in three volumes are determined via a variational analysis of matrices of two-point correlation functions, computed using large bases of operators resembling single-meson, two-meson and three-meson structures, with the light-quark mass corresponding to a pion mass of $m_\pi \approx 391$ MeV. Utilising the relationship between the discrete spectrum of finite-volume energies and infinite-volume scattering amplitudes, we find a narrow axial-vector resonance ($J^{PC}=1^{+-}$), the analogue of the $b_1$ meson, with mass $m_{R}\approx1380$ MeV and width $\Gamma_{R}\approx 91$ MeV. The resonance is found to couple dominantly to $S$-wave $\pi\omega$, with a much-suppressed coupling to $D$-wave $\pi\omega$, and a negligible coupling to $\pi\phi$ consistent with the `OZI rule'. No resonant behavior is observed in $\pi\phi$, indicating the absence of a putative low-mass $Z_s$ analogue of the $Z_c$ claimed in $\pi J/\psi$. In order to minimally present the contents of a unitary three-channel scattering matrix, we introduce an $n$-channel generalization of the traditional two-channel Stapp parameterization.},
doi = {10.1103/PhysRevD.100.054506},
journal = {Physical Review D},
number = 5,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1103/PhysRevD.100.054506

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