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.

30 pages Published version

References in corpus (3)

• Quadrupole collective states within the Bohr collective Hamiltonian
• Quadrupole collective variables in the natural Cartan-Weyl basis
• The quadrupole collective model from a Cartan-Weyl perspective

Cited by in corpus (4)

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