Construction of bbu¯d¯ tetraquark states on lattice with NRQCD bottom and HISQ up and down quarks

Protick Mohanta, S. Basak
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引用次数: 14

Abstract

We construct $bb\bar{u}\bar{d}$ states on lattice using NRQCD action for bottom and HISQ action for the light up/down quarks. The NRQCD-HISQ tetraquark operators are constructed for "bound" $[bb][\bar{u}\bar{d}]$ and "molecular" $[b\bar{u}] [b\bar{d}]$ states. Corresponding to these different operators, two different appropriately tuned light quark masses are needed to obtain the desired spectra. We explain this requirement of different $m_{u/d}$ in the light of relativised quark model involving Hartree-Fock calculation. The mass spectra of double bottom tetraquark states are obtained on MILC $N_f=2+1$ Asqtad lattices at three different lattice spacings. Variational analysis has been carried out to obtain the relative contribution of "bound" and "molecular" states to the energy eigenstates.
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具有NRQCD底夸克和HISQ上夸克和下夸克的晶格上bbu¯d¯四夸克态的构造
我们在晶格上用NRQCD作用构造$bb\bar{u}\bar{d}$态,用HISQ作用构造轻上/轻下夸克态。NRQCD-HISQ四夸克算子是针对“束缚态”$[bb][\bar{u}\bar{d}]$和“分子态”$[b\bar{u}] [b\bar{d}]$构造的。对应于这些不同的算符,需要两个不同的适当调谐的光夸克质量来获得所需的光谱。我们从涉及Hartree-Fock计算的相对论夸克模型出发,解释了这种不同$m_{u/d}$的要求。在三种不同晶格间距的MILC $N_f=2+1$ Asqtad晶格上得到了双底四夸克态的质谱。变分分析得到了“束缚态”和“分子态”对能量本征态的相对贡献。
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