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The sextic oscillator is proposed as a two-parameter solvable$\gamma$-independent potential in the Bohr Hamiltonian. It is shown that closedanalytical expressions can be derived for the energies and wavefunctions of thefirst few levels and for the strength of electric quadrupole transitionsbetween them. Depending on the parameters this potential has a minimum at$\beta=0$ or at $\beta>0$, and might also have a local maximum before reachingits minimum. A comparison with the spectral properties of the infinite squarewell and the $\beta^4$ potential is presented, together with a brief analysisof the experimental spectrum and E2 transitions of the $^{134}$Ba nucleus.Comment: 15 pages, 5 figures; to appear in Phys. Rev.

physical review. c. nuclear physics/physical review. c, nuclear physics

The sextic oscillator as a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>γ</mml:mi></mml:mrow></mml:math>-independent potential

The sextic oscillator as aγ-independent potential