2018/10/28 by P. Gulshani, Gulshani, Parviz
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.1810.11836
openalex publication_date 2018/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A microscopic quantum ideal rotor-model Hamiltonian (distinct from that of\nBohr's rotational model) is derived for a rotation about a single axis by\napplying a dynamic rotation operator to the deformed nuclear ground-state\nwavefunction. It is shown that the microscopic ideal rotor Hamiltonian is\nobtained only for a rigid-flow prescription for the rotation angle, with the\nattendant rigid-flow kinematic moment of inertia. (For the center-of-mass\nmotion, the method predicts the correct mass.) Using Hartree-Fock variational\nand second quantization methods, the ideal rotor-model Hamiltonian is reduced\nto that of a self-consistent cranking model plus residual terms associated with\nthe square of the angular momentum operator and a two-body interaction. The\napproximations and assumptions underlying the conventional cranking model are\nrevealed. The resulting nuclear Schrodinger equation, including a residual\ntwo-body interaction and the residual part of the square of the angular\nmomentum, is then solved in the Tamm-Dancoff approximation using he eigenstates\nof the self-consistent cranking model, with a self-consistent deformed harmonic\noscillator potential, as the particle-hole basis states. Good agreement is\nobtained between the predicted and measured ground-state rotational-band\nexcitation energies, including the lowering of the excitation energy with\nincreasing angular momentum, in Ne-20 when the effects of a 3-D rotation are\nsimulated in the model.\n