Equivalent Local Potentials for the coupled channel system and the optical potential

The explicit formulae of the equivalent local potentials for a coupled channel problem are calculated. We prove that the equivalent local potential of the coupled channel system coincides with the equivalent local potential of the Feshbach optical potential.

Complex potentials and the inverse problem

The occurrence of complex potentials with real eigenvalues has implications concerning the inverse problem, i.e. the determination of a potential from its spectrum. First, any complex potential with real eigenvalues has at least one equivalent local potential. Secondly, a real spectrum does not necessarily corresponds to a local real potential. A basic ambiguity arises from the possibility the spectrum to be generated by a complex potential. The purpose of this work is to discuss several aspects of this problem.

Complex potentials and the inverse problem

The occurrence of complex potentials with real eigenvalues has implications concerning the inverse problem, i.e. the determination of a potential from its spectrum. First, any complex potential with real eigenvalues has at least one equivalent local potential. Secondly, a real spectrum does not necessarily corresponds to a local real potential. A basic ambiguity arises from the possibility the spectrum to be generated by a complex potential. The purpose of this work is to discuss several aspects of this problem.

NONLOCALITY IN THE QUARK-MODEL INDUCED TWO-BARYON POTENTIAL

Roles of the nonlocality in the two-baryon potential derived from the quark cluster model, especially in the one from the quark Pauli-blocking effect on the kinetic term, is investigated by employing the inverse scattering problem. This effect can be understood by changing the degrees of the mixing between the incoming wave and the 0ℓ state of the inter-baryon-cluster wave function; which can be expressed by a baryon potential with high nonlocality. We look into the properties of this nonlocal potential by comparing it to the on-shell equivalent local potential. Their off-shell behaviors are very different from each other in the channels where the Pauli-blocking effect is large. The off-shell behavior of the nonlocal potential, however, seems to be simulated well when we keep the nonlocality of the potential between the 0s state and the other states.