Pauli-blocking effect in a quark cluster model

Abstract

Pauli-blocking effect on the kinetic term is investigated by employing the quark cluster model. The effect can be expressed by a potential which is highly nonlocal. We look into the properties of this nonlocal potential by comparing equivalent local potentials. In the channel where the Pauli-blocking effect is small, the on-shell equivalent local potential simulates the nonlocal potential well even for the off-shell behavior. On the other hand, the off-shell behavior is very different from the original one where the effect is large. This off-shell behavior, however, can well be simulated by considering the nonlocal matrix elements only between the 0 s state and the other states. The energy-dependent potentials are also constructed by using the WKB method. The barrier which expresses the Pauli-blocking effect is found to disappear as the energy increases. The phase shift given by this potential, however, is found to be different from the original one considerably where the effect is large.