Variational Monte Carlo study of pentaquark states.
Accurate numerical solution of the five-body Schrödinger equation is effected via variational Monte Carlo calculations. 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 nonrelativistic Hamiltonian, which has spin, isospin, and color dependent pair interactions and many-body confining terms, which are fixed by the nonexotic spectra. Gauge field dynamics are modeled via flux-tube exchange factors. The energy determined for the ground states with J(pi) = (1/2)- ((1/2)+) is 2.22 (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.
Paris
Mark W
MW
Theory Group, Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue MS12H2, Newport News, Virginia, 23606, USA. mparis@jlab.org