Soft triaxial roto-vibrational motion in the vicinity of $γ=π/6$

Details Soft triaxial roto-vibrational motion in the vicinity of $γ=π/6$ Soft triaxial roto-vibrational motion in the vicinity of $γ=π/6$

2004-06-15

arxiv.org/abs/nucl-th/0406043v1

Phys.Rev. C70 (2004) 011302

Physics

Nuclear Physics

Nuclear Theory

4 pages, 2 figures, accepted in Phys.Rev.C

Scientific paper

10.1103/PhysRevC.70.011302

A solution of the Bohr collective hamiltonian for the $\beta-$soft, $\gamma-$soft triaxial rotor with $\gamma \sim \pi/6$ is presented making use of a harmonic potential in $\gamma$ and Coulomb-like and Kratzer-like potentials in $\beta$. It is shown that, while the $\gamma-$angular part in the present case gives rise to a straightforward extension of the rigid triaxial rotor energy in which an additive harmonic term appears, the inclusion of the $\beta$ part results instead in a non-trivial expression for the spectrum. The negative anharmonicities of the energy levels with respect to a simple rigid model are in qualitative agreement with general trends in the experimental data.

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