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- W2261330270 abstract "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 $ensuremath{Delta}$-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 $ensuremath{Delta}$ 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." @default.
- W2261330270 created "2016-06-24" @default.
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- W2261330270 date "2009-09-03" @default.
- W2261330270 modified "2023-10-18" @default.
- W2261330270 title "Smooth crossover transition from the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>Δ</mml:mi></mml:math>-string to the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>Y</mml:mi></mml:math>-string three-quark potential" @default.
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- W2261330270 doi "https://doi.org/10.1103/physrevd.80.054501" @default.
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