Variational Monte Carlo study of pentaquark states

Abstract

Accurate numerical solution of the five-body Schrodinger equation is effected via variational Monte Carlo. 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 J=1/2 and negative (positive) parity is 2.22 GeV (2.50 GeV). A lower energy negative parity state is consistent with recent lattice results. The short-range structure of the state is analyzed via its diquark content.

4 pages, 2 figures; revised for PRL, in press

References in corpus (8)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• A Diquark-Triquark Model for the KN Pentaquark
• Evidence for a narrow baryonic state decaying to K0s-p and K0s-pbar in deep inelastic scattering at HERA
• Evidence for a narrow resonance at 1530 MeV/c2 in the K0 p - system of the reaction pp --> Sigma+ K0 p from the COSY-TOF experiment
• A study of pentaquarks on the lattice with overlap fermions
• Search for the pentaquark resonance signature in lattice QCD
• Reviewing the Evidence for Pentaquarks
• Observation of S=+1 narrow resonances in the system $K_s^{0}p$ from p+$C_3{H}_8$ collision at 10 GeV/c

Cited by in corpus (4)

• The structure of pentaquarks $P_c^{+}$ in the chiral quark model
• Stability of the pentaquark in a naive string model
• Structure and decay width of Θ^+ in a one-gluon exchange model
• Baryon Spectroscopy and the Constituent Quark Model