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Bound Isoscalar Axial-Vector bcu¯d¯ Tetraquark Tbc from Lattice QCD Using Two-Meson and Diquark-Antidiquark Variational Basis
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-05-14 , DOI: 10.1103/physrevlett.132.201902
M Padmanath 1 , Archana Radhakrishnan 2 , Nilmani Mathur 2
Affiliation  

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 0.12fm, 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.

中文翻译:


使用二介子和双夸克-反夸克变分基础从格子 QCD 得到束缚等标量轴向矢量 bcu´d´ 四夸克 Tbc



我们报告格子质量控制 D 研究具有明显异国风味含量的重-轻介子-介子相互作用 bcu¯d¯ , 同位旋 I=0 ,和轴向矢量 JP=1+ 寻找可能的四夸克束缚态的量子数。计算是在四个晶格间距值下进行的,范围为 0.0580.12fm ,以及五个不同价态轻夸克质量值 mu/d ,对应于赝标量介子质量 Mps 约0.5、0.6、0.7、1.0和3.0GeV。有限体积中的能量特征值是通过应用于由双介子插值算子以及双夸克-反双夸克算子构建的相关矩阵的变分过程来确定的。连续统极限估计为 DB¯* 松紧带 S 使用由晶格间距依赖性补充的振幅参数化,从对应于基态的最低有限体积本征能中提取波散射振幅。轻夸克质量 mu/d 的依赖性 DB¯* 散射长度( a0 )表明在物理π介子质量 a0phys=+0.57(5+4)(17)fm ,这清楚地表明 D 和 B¯* 介子的强度足以容纳真实的束缚态 Tbc ,结合能为 43(7+6)(24+14)MeV 相对于 DB¯* 临界点。我们还发现,结合强度随着增加而降低 mu/d 并且系统在临界轻夸克质量处变得不受束缚 mu/d* 对应于 Mps*=2.73(21)(19)GeV
更新日期:2024-05-15
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