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

页数：10

共 20 条

[1] Static three-quark SU(3) and four-quark SU(4) potentials [J].

Alexandrou, C ;

de Forcrand, P ;

Tsapalis, A .

PHYSICAL REVIEW D, 2002, 65 (05)

[2] STRING MODEL WITH BARYONS - TOPOLOGY - CLASSICAL MOTION [J].

ARTRU, X .

NUCLEAR PHYSICS B, 1975, B 85 (02) :442-460

[3] Baryonic flux in quenched and two-flavor dynamical QCD after Abelian projection -: art. no. 054506 [J].

Bornyakov, VG ;

Ichie, H ;

Mori, Y ;

Pleiter, D ;

Polikarpov, MI ;

Schierholz, G ;

Streuer, T ;

Stüben, H ;

Suzuki, T .

PHYSICAL REVIEW D, 2004, 70 (05) :054506-1

[4] Potts correlators and the static three-quark potential [J].

Caselle, M ;

Delfino, G ;

Grinza, P ;

Jahn, O ;

Magnoli, N .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2006,

[5] The baryon static potential from lattice QCD [J].

de Forcrand, P ;

Jahn, O .

NUCLEAR PHYSICS A, 2005, 755 :475C-480C

[6] Transformation of a three-body interaction into a sum of pairwise potentials: Application to the quark-string-junction and the Urbana potentials [J].

Fabre de la Ripelle M. ;

Lassaut M. .

Few-Body Systems, 1998, 23 (1-2) :75-86

[7] Color SU(3) symmetry, confinement, stability, and clustering in the q2(q)over-bar2 system -: art. no. 114007 [J].

Dmitrasinovic, V .

PHYSICAL REVIEW D, 2003, 67 (11)

[8] Low-lying spectrum of the Y-string three-quark potential using hyper-spherical coordinates [J].

Dmitrasinovic, V. ;

Sato, Toru ;

Suvakov, Milovan .

EUROPEAN PHYSICAL JOURNAL C, 2009, 62 (02) :383-397

[9] Cubic Casimir operator of SUc(3) and confinement in the nonrelativistic quark model [J].

Dmitrasinovic, V .

PHYSICS LETTERS B, 2001, 499 (1-2) :135-140

[10]

DMITRASINOVIC V, UNPUB

← 1 2 →