English

Structure and decay width of \Theta^+ in a one-gluon exchange model

Nuclear Theory 2008-11-26 v1

Abstract

The mass and decay width of the Θ+(1540)\Theta^+(1540) with isospin 0 are investigated in a constituent quark model comprising uuddsˉuudd\bar{s} quarks. The resonance state for the Θ+\Theta^+ is identified as a stable solution in correlated basis calculations. With the use of a one-gluon exchange quark-quark interaction, the mass is calculated to be larger than 2 GeV, increasing in order of the spin-parity, 1/2,3/2{1/2}^-, {3/2}^- and 1/2+(3/2+){1/2}^+ ({3/2}^+), and only the 3/2{3/2}^- state has a small width to the nK+nK^{*+} decay. If the calculated mass is shifted to around 100 MeV above the N+KN+K threshold, the Θ+(1540)\Theta^+(1540) is possibly 1/2+(3/2+){1/2}^+ ({3/2}^+) or 3/2{3/2}^-, though in the latter case it cannot decay to the nK+nK^{+} channel. In addition it is conjectured that other pentaquark state with different spin-parity exists below the Θ+(1540)\Theta^+(1540). The structure of the Θ+\Theta^+ is discussed through the densities and two-particle correlation functions of the quarks and through the wave function decomposition to a baryon-meson model and a diquark-pair model.

Keywords

Cite

@article{arxiv.nucl-th/0601011,
  title  = {Structure and decay width of \Theta^+ in a one-gluon exchange model},
  author = {H. Matsumura and Y. Suzuki},
  journal= {arXiv preprint arXiv:nucl-th/0601011},
  year   = {2008}
}

Comments

27 papers, 9 figures