Exact Canonically Conjugate Momenta to Quadrupole-Type Collective Coordinates and Derivation of Nuclear Quadrupole-Type Collective Hamiltonian

Abstract: Exact canonically conjugate momenta Pi_{2mu} in quadrupole nuclear collective motions are proposed. The basic idea lies in the introduction of a discrete integral equation for the strict definition of canonically conjugate momenta to collective variables phi_{2mu}. A part of our collective Hamiltonian, the Pi_{2mu}-dependence of the kinetic part of the Hamiltonian, is given exactly. Further, phi_{2mu}-dependence of the kinetic part of the Hamiltonian is also given.