从Delta弦到Y弦三夸克势的光滑交叉跃迁
On the smooth cross-over transition from the Delta-string to the Y-string three-quark potential
摘要：
我们对Caselle等人的断言进行评论，J. Stat. Mech.0603，P008（2006），三个夸克的限制（弦）势“在夸克间距离约为0.8 fm的情况下，从德尔塔弦到Y弦构型进行平滑的交叉过渡”。我们研究了由于Y弦和δ弦的三夸克禁闭势的函数依赖性，并表明它们具有不同的对称性，这导致了不同的运动常数（即它们属于不同的“普适类”在相变理论的说法）。这意味着当它们的弦张力相同时，除了在消失的超半径处，两者之间没有“平滑交叉”。我们还评论了一定的两体势近似的Y弦势。
英文摘要：
We comment on the assertion made by Caselle et al., J. Stat. Mech. 0603, P008 (2006), that the confining (string) potential for three quarks "makes a smooth cross-over transition from the Delta-string to the Y-string configuration at interquark distances of around 0.8 fm". We study the functional dependence of the three-quark confining potentials due to a Y-string, and the Delta-string and show that they have different symmetries, which lead to different constants of the motion (i.e. they belong to different "universality classes" in the parlance of the theory of phase transitions). This means that there is no "smooth cross-over" between the two, when their string tensions are identical, except at the vanishing hyper-radius. We also comment on a certain two-body potential approximation to the Y-string potential.
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