R. P. Roussev

Description of rotational molecular spectra by the quantum algebra SUq(2)

Abstract Rotational spectra of diatomic molecules can be described by the quantum algebra SU q (2). Stretching effects are taken into account by algebra to deviate slightly from the normal SU (2) form. The two-parameter formula given by the algebra is equivalent to an expansion in terms of powers of J ( J + 1), and can be used for partially summing up the Dunham expansion for rotation-vibration molecular spectra.

SUq(2) description of rotational spectra and its relation to the variable moment of the inertia model

Abstract Rotational spectra of even-even nuclei can be described by the quantum algebra SUq(2). The two-parameter formula given by the algebra is equivalent to an expansion in terms of powers of j(j + 1), similar to the expansion given by the variable moment of inertia (VMI) model. The moment of inertia parameter in the two models, as well as the small parameter of the expansion, are found to have very similar numerical values.

B(E2) transition probabilities in the q-rotator model with SUq(2) symmetry

The SUq(2) symmetry of the q-rotator model, which for rotational bands predicts squeezing of the energy levels equivalent to the variable moment of inertia (VMI) model, predicts an increase with angular momentum of the B(E2) transition probabilities among these levels, while the rigid rotor model predicts saturation and the interacting boson model predicts a decrease. Some evidence supporting the SUq(2) prediction is presented. The possible usefulness of the quantum algebraic method in extending the VMI concept to B(E2) transition probabilities is pointed out.

Ground − γ band mixing and odd-even staggering in heavy deformed nuclei

It is proposed that the odd-even staggering (OES) in the

An exactly soluble nuclear model with SUq(3) supset SUq(2) supset SOq(2) symmetry

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Broken SU(3) symmetry in deformed even-even nuclei

bands of heavy deformed nuclei can be reasonably characterized by a discrete approximation of the fourth derivative of the odd-even energy difference as a function of angular momentum L. This quantity exhibits a well-developed staggering pattern (zigzagging behavior with alternating signs) in rare-earth nuclei and actinides with long

Delta I=4 and Delta I=8 bifurcations in rotational bands of diatomic molecules.

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SYMMETRIES AND STAGGERING EFFECTS IN NUCLEAR ROTATIONAL SPECTRA

bands

Rotations of nuclei with reflection asymmetry correlations

(Lg~10).

“Beat” patterns for the odd-even staggering in octupole bands from a quadrupole-octupole Hamiltonian

It is shown that the OES can be interpreted as the result of the interaction of the