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      Variational Monte Carlo study of pentaquark states in a correlated quark model

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          Abstract

          Accurate numerical solution of the five-body Schrodinger equation is effected via variational Monte Carlo in a correlated quark model. The spectrum is assumed to exhibit a narrow resonance with strangeness S=+1. A fully antisymmetrized and pair-correlated five-quark wave function is obtained for the assumed non-relativistic Hamiltonian which has spin, isospin, and color dependent pair interactions and many-body confining terms which are fixed by the non-exotic spectra. Gauge field dynamics are modeled via flux tube exchange factors. The energy determined for the ground states with spin-parity 1/2- (1/2+) is 2.22 GeV (2.50 GeV). A lower energy negative parity state is consistent with recent lattice results.

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          Quantum Monte Carlo Calculations of \(A\leq6\) Nuclei

          , , (2009)
          The energies of \(^{3}H\), \(^{3}He\), and \(^{4}He\) ground states, the \({\frac{3}{2}}^{-}\) and \({\frac{1}{2}}^{-}\) scattering states of \(^{5}He\), the ground states of \(^{6}He\), \(^{6}Li\), and \(^{6}Be\) and the \(3^{+}\) and \(0^{+}\) excited states of \(^{6}Li\) have been accurately calculated with the Green's function Monte Carlo method using realistic models of two- and three-nucleon interactions. The splitting of the \(A=3\) isospin \(T=\frac{1}{2}\) and \(A=6\) isospin \(T=1\), \(J^{\pi} = 0^{+}\) multiplets is also studied. The observed energies and radii are generally well reproduced, however, some definite differences between theory and experiment can be identified.
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            Reviewing the Evidence for Pentaquarks

            Several experimental groups have reported evidence for baryons with flavor exotic quantum numbers that cannot be explained as \(qqq\) bound states but require a minimum of five quarks -- \(qqqq \bar q\). These pentaquark states include the \(\theta^{+}\), the \(\Xi^{--}\) and the \(\theta_{c}\). The reported widths of these new states are consistent with experimental resolution and may be as narrow as a few MeV/\(c^2\) or less. Prior to 2003, experimental searches for flavor exotic baryons spanning several decades yielded negative results. There have also been a number of searches carried out since the reports of these new pentaquark states that do not confirm their existence. This review of both the positive and negative reports seeks to understand the current situation regarding the experimental evidence for pentaquarks.
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              Author and article information

              Journal
              2005-12-21
              Article
              10.1063/1.2220303
              nucl-th/0512085
              38c61d27-4d1b-40b0-b80a-358303cce051
              History
              Custom metadata
              3 pages, PANIC05 conference proceedings
              nucl-th

              Nuclear physics
              Nuclear physics

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