Smooth crossover transition from the Δ-string to the Y-string three-quark potential

被引:11
作者
Dmitrasinovic, V. [1 ]
Sato, Toru [2 ]
Suvakov, Milovan [3 ]
机构
[1] Vinca Inst Ncul Sci, Lab 010, Belgrade 11001, Serbia
[2] Osaka Univ, Dept Phys, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan
[3] Zemun, Inst Phys, Belgrade 11080, Serbia
来源
PHYSICAL REVIEW D | 2009年 / 80卷 / 05期
关键词
BARYONS;
D O I
10.1103/PhysRevD.80.054501
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We comment on the assertion made by Caselle et al. [M. Caselle, G. Delfino, P. Grinza, O. Jahn, and N. Magnoli, J. Stat. Mech. (2006) P008.] that the confining (string) potential for three quarks "makes a smooth crossover 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 crossover'' 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.
引用
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页数:10
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