Bound Isoscalar Axial-Vector bcu¯d¯ Tetraquark Tbc from Lattice QCD Using Two-Meson and Diquark-Antidiquark Variational Basis

M. Padmanath (The Institute of Mathematical Sciences, a CI of Homi Bhabha National Institute, Chennai, 600113, India) ; Archana Radhakrishnan (Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India) ; Nilmani Mathur (Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India)

We report a lattice QCD study of the heavy-light meson-meson interactions with an explicitly exotic flavor content bcu¯d¯, isospin I=0, and axial-vector JP=1+ quantum numbers in search of possible tetraquark bound states. The calculation is performed at four values of lattice spacing, ranging from 0.058 to 0.12 fm, and at five different values of valence light quark mass mu/d, corresponding to pseudoscalar meson mass Mps of about 0.5, 0.6, 0.7, 1.0, and 3.0 GeV. The energy eigenvalues in the finite volume are determined through a variational procedure applied to correlation matrices built out of two-meson interpolating operators as well as diquark-antidiquark operators. The continuum limit estimates for DB¯* elastic S-wave scattering amplitude are extracted from the lowest finite-volume eigenenergies, corresponding to the ground states, using amplitude parametrizations supplemented by a lattice spacing dependence. Light quark mass mu/d dependence of the DB¯* scattering length (a0) suggests that at the physical pion mass a0phys=+0.57(5+4)(17) fm, which clearly points to an attractive interaction between the D and B¯* mesons that is strong enough to host a real bound state Tbc, with a binding energy of 43(7+6)(24+14) MeV with respect to the DB¯* threshold. We also find that the strength of the binding decreases with increasing mu/d and the system becomes unbound at a critical light quark mass mu/d* corresponding to Mps*=2.73(21)(19) GeV.

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      "source": "APS", 
      "title": "Bound Isoscalar Axial-Vector <math><mi>b</mi><mi>c</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> Tetraquark <math><msub><mi>T</mi><mrow><mi>b</mi><mi>c</mi></mrow></msub></math> from Lattice QCD Using Two-Meson and Diquark-Antidiquark Variational Basis"
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  "abstracts": [
    {
      "source": "APS", 
      "value": "We report a lattice QCD study of the heavy-light meson-meson interactions with an explicitly exotic flavor content <math><mi>b</mi><mi>c</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math>, isospin <math><mi>I</mi><mo>=</mo><mn>0</mn></math>, and axial-vector <math><msup><mi>J</mi><mi>P</mi></msup><mo>=</mo><msup><mn>1</mn><mo>+</mo></msup></math> quantum numbers in search of possible tetraquark bound states. The calculation is performed at four values of lattice spacing, ranging from <math><mo>\u223c</mo><mn>0.058</mn></math> to <math><mo>\u223c</mo><mn>0.12</mn><mtext> </mtext><mtext> </mtext><mi>fm</mi></math>, and at five different values of valence light quark mass <math><msub><mi>m</mi><mrow><mi>u</mi><mo>/</mo><mi>d</mi></mrow></msub></math>, corresponding to pseudoscalar meson mass <math><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>ps</mi></mrow></msub></mrow></math> of about 0.5, 0.6, 0.7, 1.0, and 3.0 GeV. The energy eigenvalues in the finite volume are determined through a variational procedure applied to correlation matrices built out of two-meson interpolating operators as well as diquark-antidiquark operators. The continuum limit estimates for <math><mi>D</mi><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math> elastic <math><mi>S</mi></math>-wave scattering amplitude are extracted from the lowest finite-volume eigenenergies, corresponding to the ground states, using amplitude parametrizations supplemented by a lattice spacing dependence. Light quark mass <math><msub><mi>m</mi><mrow><mi>u</mi><mo>/</mo><mi>d</mi></mrow></msub></math> dependence of the <math><mi>D</mi><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math> scattering length (<math><msub><mi>a</mi><mn>0</mn></msub></math>) suggests that at the physical pion mass <math><msubsup><mi>a</mi><mn>0</mn><mrow><mi>phys</mi></mrow></msubsup><mo>=</mo><mo>+</mo><mn>0.57</mn><msubsup><mo>(</mo><mrow><mo>\u2212</mo><mn>5</mn></mrow><mrow><mo>+</mo><mn>4</mn></mrow></msubsup><mo>)</mo><mo>(</mo><mn>17</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>fm</mi></math>, which clearly points to an attractive interaction between the <math><mi>D</mi></math> and <math><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math> mesons that is strong enough to host a real bound state <math><msub><mi>T</mi><mrow><mi>b</mi><mi>c</mi></mrow></msub></math>, with a binding energy of <math><mrow><mo>\u2212</mo><mn>43</mn><msubsup><mrow><mo>(</mo></mrow><mrow><mo>\u2212</mo><mn>7</mn></mrow><mrow><mo>+</mo><mn>6</mn></mrow></msubsup><mo>)</mo><msubsup><mrow><mo>(</mo></mrow><mrow><mo>\u2212</mo><mn>24</mn></mrow><mrow><mo>+</mo><mn>14</mn></mrow></msubsup><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></mrow></math> with respect to the <math><mi>D</mi><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math> threshold. We also find that the strength of the binding decreases with increasing <math><msub><mi>m</mi><mrow><mi>u</mi><mo>/</mo><mi>d</mi></mrow></msub></math> and the system becomes unbound at a critical light quark mass <math><msubsup><mi>m</mi><mrow><mi>u</mi><mo>/</mo><mi>d</mi></mrow><mo>*</mo></msubsup></math> corresponding to <math><msubsup><mi>M</mi><mrow><mi>ps</mi></mrow><mo>*</mo></msubsup><mo>=</mo><mn>2.73</mn><mo>(</mo><mn>21</mn><mo>)</mo><mo>(</mo><mn>19</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>."
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Published on:
14 May 2024
Publisher:
APS
Published in:
Physical Review Letters , Volume 132 (2024)
Issue 20
DOI:
https://doi.org/10.1103/PhysRevLett.132.201902
arXiv:
2307.14128
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: