SU(6), Triquark states, and the pentaquark

dc.creatorMajee, Swarup Kumar
dc.creatorRaychaudhuri, Amitava
dc.date2007-11-25
dc.date.accessioned2026-07-07T11:54:22Z
dc.date.available2026-07-07T11:54:22Z
dc.descriptionThe purported observation of a state $Θ^+$ with strangeness S = +1 led to its quark model interpretation in terms of a pentaquark combination involving a triquark-diquark structure -- the Karliner-Lipkin model. In this work, the proper colour-spin symmetry properties for the $q q \bar{q}$ triquark are elucidated by calculating the SU(6) unitary scalar factors and Racah coefficients. Using these results, the colour-spin hyperfine interactions, including flavour symmetry breaking therein, become straight-forward to incorporate and the pentaquark masses are readily obtained. We examine the effect on the pentaquark mass of (a) deviations from the flavour symmetric limit and (b) different strengths of the doublet and triplet hyperfine interactions. Reference values of these parameters yield a $Θ^+$ mass prediction of 1601 MeV but it can comfortably accommodate 1540 MeV for alternate choices. In the same framework, other pentaquark states $Ξ$ (S=--2) and $Θ^c $ (with charm C=--1) are expected at 1783 MeV and 2757 MeV, respectively.
dc.description17 pages, 1 figure. accepted for publication in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0711.3910
dc.identifierhttp://arxiv.org/abs/0711.3910
dc.identifierPhys.Rev.D77:074016,2008
dc.identifierdoi:10.1103/PhysRevD.77.074016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204875
dc.subjectHigh Energy Physics - Phenomenology
dc.titleSU(6), Triquark states, and the pentaquark
dc.typetext

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