Lattice study on a tetraquark state <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:math> in the HAL QCD method

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書誌事項

タイトル別名
  • Lattice study on a tetraquark state T[bb] in the HAL QCD method
公開日
2023-09-11
資源種別
journal article
権利情報
  • Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
DOI
  • 10.1103/physrevd.108.054502
  • 10.48550/arxiv.2306.03565
公開者
American Physical Society (APS)

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説明

We study a doubly bottomed tetraquark state (⁢bbud) with quantum number I⁡([P]J)=0⁢(1⁺), denoted by T[bb], in lattice QCD with the nonrelativistic QCD (NRQCD) quark action for b quarks. Employing (2+1)-flavor gauge configurations at a ≈ 0.09 fm on 32³ x 64 lattices, we have extracted the coupled-channel potential between BB* and B*B* in the HAL QCD method, which predicts an existence of a bound T[bb] below the BB* threshold. By extrapolating results at m[π] ≈ 410, 570, 700 MeV to the physical pion mass m[π] ≈ 140 MeV, we obtain a binding energy with its statistical error as [single]E[binding] = 155(17) MeV and [coupled]E[binding] = 83(10) MeV, where “coupled” means that effects due to virtual B*B* states are included through the coupled channel potential, while only a potential for a single BB* channel is used in the analysis for “single”. A comparison shows that the effect from virtual B*B* states is quite sizable to the binding energy of T[bb]. We estimate systematic errors to be ±20 MeV at most, which are mainly caused by the NRQCD approximation for b quarks.

収録刊行物

  • Physical Review D

    Physical Review D 108 (5), 2023-09-11

    American Physical Society (APS)

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