Microscopic Uni-axial Bohr-Mottelson Rotational Model

摘要

A microscopic version of the phenomenological Bohr-Mottelson unified adiabatic rotational model is derived using only space-fixed particle coordinates, and without imposing any constraints on the particle coordinates or the intrinsic wavefunction. It is shown that this can done only for rigid flow. A collective-rotation velocity field is defined and is used to show that, although their Hamiltonians are elosely related, the flows in a multi-fermion and single-particle system are inherently different.