Smooth crossover transition from the {delta}-string to the Y-string three-quark potential
- Vinca Institute of Nuclear Sciences, lab 010, P.O. Box 522, 11001 Beograd (Serbia)
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.
- OSTI ID:
- 21322605
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 5; Other Information: DOI: 10.1103/PhysRevD.80.054501; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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