arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1102.3246hep-lathep-ph
收藏

有限质量夸克间势的格点量子色动力学

Interquark potential with finite quark mass from lattice QCD

Taichi Kawanai, Shoichi Sasaki

摘要:

本文研究了在格点量子色动力学中由重夸克偶素的qq^bar Bethe-Salpeter(BS)振幅确定的夸克间势。有限夸克质量m_q下的qq^bar势可以由等效薛定谔方程由等时库仑规范BS振幅计算得到。势本身的定义需要关于夸克的动力学质量的信息。然后,我们提出了一个自洽的决定夸克的动力学质量在相同的基础上。为了验证所提出的方法,我们在夸克动力学质量为1.0 { \ge } m_q { \ge } 3.6 GeV的范围内,在1/a ~ 2.1 GeV的格点截断下,用相对论重夸克作用量进行了猝灭格点量子色动力学模拟.数值结果表明,在无限重夸克极限(m_q -> { \infty })下的qq^bar势与传统的由威尔逊圈得到的qq ^bar势相当一致.我们还研究了qq^bar势和自旋-自旋势对夸克质量的依赖性。

英文摘要:

We present an investigation of the interquark potential determined from the qq^bar Bethe-Salpeter (BS) amplitude for heavy quarkonia in lattice QCD. The qq^bar potential at finite quark mass m_q can be calculated from the equal-time and Coulomb gauge BS amplitude through the effective Schrödinger equation. The definition of the potential itself requires information about a kinetic mass of the quark. We then propose a self-consistent determination of the quark kinetic mass on the same footing. To verify the proposed method, we perform quenched lattice QCD simulations with a relativistic heavy quark action at a lattice cutoff of 1/a ~ 2.1 GeV in a range of the quark kinetic mass, 1.0 {\ge} m_q {\ge} 3.6 GeV. Our numerical results show that the qq^bar potential in the infinitely heavy quark limit (m_q -> {\infty}) is fairly consistent with the conventional one obtained from Wilson loops. The quark mass dependence of the qq^bar potential and the spin-spin potential are also examined.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑