标题： SU(3)格点QCD中的三夸克基态势能 显示英文标题

标题： Three-quark ground-state potential in the SU(3) lattice QCD

摘要： 通过平滑技术，在SU(3)$_c$格点QCD蒙特卡罗模拟中，以$12^3 \times 24$和$\beta=5.7$在冻结层次下数值提取了三夸克（3Q）基态势能$V_{\rm 3Q}$。 以优于百分之几的精度，$V_{\rm 3Q}$可由一个常数$C_{\rm 3Q}$、两体库仑部分$-A_{\rm 3Q}\sum_{i<j} \frac1{|{\bf r}_i-{\bf r}_j|}$和三体线性约束部分$\sigma_{\rm 3Q} L_{\rm min}$来很好地描述，其中$L_{\rm min}$表示连接三个夸克的颜色通量管的最小长度。 通过与Q-$\bar {\rm Q}$ 势的比较，我们发现弦张力具有普遍性，表现为$\sigma_{\rm 3Q} \simeq \sigma_{\rm Q \bar Q}$ 以及库仑系数的一胶子交换结果为$A_{\rm 3Q} \simeq \frac12 A_{\rm Q \bar Q}$。 我们所有的结果，包括常数项，都与晶格正则化中双夸克极限的要求一致。 显示英文摘要

摘要： With the smearing technique, the three-quark (3Q) ground-state potential $V_{\rm 3Q}$ is numerically extracted in the SU(3)$_c$ lattice QCD Monte Carlo simulation with $12^3 \times 24$ and $\beta=5.7$ at the quenched level. With accuracy better than a few %, $V_{\rm 3Q}$ is well described by a sum of a constant $C_{\rm 3Q}$, the two-body Coulomb part $-A_{\rm 3Q}\sum_{i<j} \frac1{|{\bf r}_i-{\bf r}_j|}$ and the three-body linear confinement part $\sigma_{\rm 3Q} L_{\rm min}$, where $L_{\rm min}$ denotes the minimal length of the color flux tube linking the three quarks. By comparing with the Q-$\bar {\rm Q}$ potential, we find a universal feature of the string tension as $\sigma_{\rm 3Q} \simeq \sigma_{\rm Q \bar Q}$ and the one-gluon-exchange result for the Coulomb coefficient as $A_{\rm 3Q} \simeq \frac12 A_{\rm Q \bar Q}$. All our results including the constant term are consistent with the requirement on the diquark limit in the lattice regularization.