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arXiv 2309.04401hep-lat
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利用物理π质量下的twisted mass费米子系综研究低阶重子质量

Low-lying baryon masses using twisted mass fermions ensembles at the physical pion mass

Constantia Alexandrou, Simone Bacchio, Georgios Christou, Jacob Finkenrath

AI总结:

本文基于物理夸克质量下的twisted mass费米子系综,研究了低阶重子谱的同位旋劈裂并外推至连续极限,精确给出了奇异和粲夸克质量及多粲重子的质量预测。

摘要:

我们使用三个在物理夸克质量下模拟、格距分别为0.080、0.069和0.057 fm的$N_f$=2+1+1系综研究低阶重子谱。这些系综采用twisted mass clover改进费米子和Iwasaki规范作用量生成。空间长度保持大致相同,约为5.1 fm至5.5 fm,满足条件$m_πL$>3.6。我们研究同位旋多重态内的同位旋劈裂,并验证在大多数情况下,这些格距下的同位旋劈裂与零一致。在少数非零的情况下,质量劈裂在连续极限下趋于零。重子质量使用这三个$N_f$=2+1+1系综外推至连续极限,并与其他近期的格点QCD结果进行比较。对于奇异夸克和粲夸克质量,我们分别发现$m_s$(2 GeV)=99.2(2.7) MeV和$m_c$(3 GeV)=1.015(39) GeV。对双粲$Ξ_{cc}^\star$、$Ω_{cc}$和$Ω_{cc}^\star$重子质量的预测值分别为3.676(55) GeV、3.703(51) GeV和3.803(50) GeV,对三粲$Ω_{ccc}$重子质量的预测值为4.785(71) GeV。

英文摘要:

We investigate the low-lying baryon spectrum using three $N_f$=2+1+1 ensembles simulated with physical values of the quark masses and lattice spacings of 0.080, 0.069, and 0.057 fm. The ensembles are generated using twisted mass clover-improved fermions and the Iwasaki gauge action. The spatial length is kept approximately the same at about 5.1 fm to 5.5 fm fulfilling the condition $m_πL$> 3.6. We investigate isospin splitting within isospin multiples and verify that for most cases the isospin splitting for these lattice spacing is consistent with zero. In the couple of cases, for which there is a non-zero value, in the continuum limit, the mass splitting goes to zero. The baryon masses are extrapolated to the continuum limit using the three $N_f$=2+1+1 ensembles and are compared to other recent lattice QCD results. For the strange and charm quark masses, we find, respectively, $m_s$(2 GeV)=99.2(2.7) MeV and $m_c$(3 GeV)=1.015(39) GeV. The values predicted for the masses of the doubly charmed $Ξ_{cc}^\star$, $Ω_{cc}$ and $Ω_{cc}^\star$ baryons are 3.676(55) GeV, 3.703(51) GeV and 3.803(50) GeV, respectively, and for the triply charmed $Ω_{ccc}$ baryon is 4.785(71) GeV.

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