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.
Keywords
Cite
@article{arxiv.nucl-th/0507061,
title = {Variational Monte Carlo study of pentaquark states},
author = {Mark W. Paris},
journal= {arXiv preprint arXiv:nucl-th/0507061},
year = {2014}
}
Comments
4 pages, 2 figures; revised for PRL, in press