Evidence for charm-bottom tetraquarks and the mass dependence of heavy-light tetraquark states from lattice QCD

Anthony Francis (Theoretical Physics Department, CERN, CH-1211 Geneva 23, Switzerland) ; Renwick J. Hudspith (Department of Physics and Astronomy, York University, Toronto, Ontario M3J 1P3, Canada) ; Randy Lewis (Department of Physics and Astronomy, York University, Toronto, Ontario M3J 1P3, Canada) ; Kim Maltman (Department of Physics and Astronomy, York University, Toronto, Ontario M3J 1P3, Canada)

We continue our study of heavy-light four-quark states and find evidence from lattice QCD for the existence of a strong-interaction-stable I(JP)=0(1+) udc¯b¯ tetraquark with mass in the range of 15 to 61 MeV below D¯B* threshold. Since this range includes the electromagnetic D¯Bγ decay threshold, current uncertainties do not allow us to determine whether such a state would decay electromagnetically or only weakly. We also perform a study at fixed pion mass, with non-relativistic QCD (NRQCD) for the heavy quarks, simulating qqb¯b¯ and qqb¯b¯ tetraquarks with q, q=ud or s and variable, unphysical mb in order to investigate the heavy mass dependence of such tetraquark states. We find that the dependence of the binding energy follows a phenomenologically expected form and that, though NRQCD breaks down before mb=mc is reached, the results at higher mb clearly identify the udb¯b¯ channel as the most likely to support a strong-interaction-stable tetraquark state at mb=mc. This observation serves to motivate the direct udc¯b¯ simulation. Throughout we use dynamical nf=2+1 ensembles with pion masses mπ=415, 299, and 164 MeV reaching down almost to the physical point, a relativistic heavy quark prescription for the charm quark and NRQCD for the bottom quark(s).

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      "source": "APS", 
      "value": "We continue our study of heavy-light four-quark states and find evidence from lattice QCD for the existence of a strong-interaction-stable <math><mi>I</mi><mo>(</mo><msup><mi>J</mi><mi>P</mi></msup><mo>)</mo><mo>=</mo><mn>0</mn><mo>(</mo><msup><mn>1</mn><mo>+</mo></msup><mo>)</mo></math> <math><mi>u</mi><mi>d</mi><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>b</mi><mo>\u00af</mo></mover></math> tetraquark with mass in the range of 15 to 61 MeV below <math><mrow><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><msup><mrow><mi>B</mi></mrow><mrow><mo>*</mo></mrow></msup></mrow></math> threshold. Since this range includes the electromagnetic <math><mrow><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mi>B</mi><mi>\u03b3</mi></mrow></math> decay threshold, current uncertainties do not allow us to determine whether such a state would decay electromagnetically or only weakly. We also perform a study at fixed pion mass, with non-relativistic QCD (NRQCD) for the heavy quarks, simulating <math><mi>q</mi><msup><mi>q</mi><mo>\u2032</mo></msup><msup><mover><mi>b</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup><mover><mi>b</mi><mo>\u00af</mo></mover></math> and <math><mi>q</mi><msup><mi>q</mi><mo>\u2032</mo></msup><msup><mover><mi>b</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup><msup><mover><mi>b</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup></math> tetraquarks with <math><mrow><mi>q</mi></mrow></math>, <math><mrow><msup><mrow><mi>q</mi></mrow><mrow><mo>\u2032</mo></mrow></msup><mo>=</mo><mi>u</mi><mi>d</mi></mrow></math> or <math><mrow><mo>\u2113</mo><mi>s</mi></mrow></math> and variable, unphysical <math><msub><mi>m</mi><msup><mi>b</mi><mo>\u2032</mo></msup></msub></math> in order to investigate the heavy mass dependence of such tetraquark states. We find that the dependence of the binding energy follows a phenomenologically expected form and that, though NRQCD breaks down before <math><msub><mi>m</mi><msup><mi>b</mi><mo>\u2032</mo></msup></msub><mo>=</mo><msub><mi>m</mi><mi>c</mi></msub></math> is reached, the results at higher <math><msub><mi>m</mi><msup><mi>b</mi><mo>\u2032</mo></msup></msub></math> clearly identify the <math><mi>u</mi><mi>d</mi><msup><mover><mi>b</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup><mover><mi>b</mi><mo>\u00af</mo></mover></math> channel as the most likely to support a strong-interaction-stable tetraquark state at <math><msub><mi>m</mi><msup><mi>b</mi><mo>\u2032</mo></msup></msub><mo>=</mo><msub><mi>m</mi><mi>c</mi></msub></math>. This observation serves to motivate the direct <math><mrow><mi>u</mi><mi>d</mi><mover><mrow><mi>c</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mover><mrow><mi>b</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> simulation. Throughout we use dynamical <math><msub><mi>n</mi><mi>f</mi></msub><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn></math> ensembles with pion masses <math><msub><mi>m</mi><mi>\u03c0</mi></msub><mo>=</mo><mn>415</mn></math>, 299, and 164 MeV reaching down almost to the physical point, a relativistic heavy quark prescription for the charm quark and NRQCD for the bottom quark(s)."
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Published on:
21 March 2019
Publisher:
APS
Published in:
Physical Review D , Volume 99 (2019)
Issue 5
DOI:
https://doi.org/10.1103/PhysRevD.99.054505
arXiv:
1810.10550
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: