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Title: Two potential quark models for double heavy baryons

Baryons containing two heavy quarks (QQ{sup ′} q) are treated in the Born-Oppenheimer approximation. Two non-relativistic potential models are proposed, in which the Schrödinger equation admits a separation of variables in prolate and oblate spheroidal coordinates, respectively. In the first model, the potential is equal to the sum of Coulomb potentials of the two heavy quarks, separated from each other by a distance - R and linear potential of confinement. In the second model the center distance parameter R is assumed to be purely imaginary. In this case, the potential is defined by the two-sheeted mapping with singularities being concentrated on a circle rather than at separate points. Thus, in the first model diquark appears as a segment, and in the second - as a circle. In this paper we calculate the mass spectrum of double heavy baryons in both models, and compare it with previous results.
Authors:
;  [1]
  1. Saint Petersburg State University (Russian Federation)
Publication Date:
OSTI Identifier:
22499100
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1701; Journal Issue: 1; Conference: 11. conference on quark confinement and hadron spectrum, Saint Petersburg (Russian Federation), 8-12 Sep 2014; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; B QUARKS; BARYONS; BORN-OPPENHEIMER APPROXIMATION; C QUARKS; COMPARATIVE EVALUATIONS; CONFINEMENT; COULOMB FIELD; DISTANCE; MASS SPECTRA; POTENTIALS; QUARK MODEL; RELATIVISTIC RANGE; SCHROEDINGER EQUATION; T QUARKS