Semiclassical approach to the quark-string model and the hadron spectrum

Abstract

A semiclassical approach to systems including both bosons and fermions is formulated, and a useful pathintegration formula is given for fixed fermion and antifermion number. The quark-string model derived from a continuum limit of the lattice gauge theory is studied based on this method. The massless condition of the string with quarks at the ends is resolved within the context of the semiclassical approximation. The analysis shows a universality of the spring constant of the string and a good prediction for the ${\eta }_c$ mass in the new-particle spectroscopy. Quantitative predictions due to quantum corrections (daughter trajectories) are not in good agreement within our approximation.