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Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamical<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>γ</mml:mi></mml:mrow></mml:math>softness and triaxiality

M. A. CaprioDepartment of Physics, University of Notre Dame, Notre Dame, Indiana 46556-5670, USA
2011lv
ABI

Abstract

Detailed quantitative predictions are obtained for phonon and multiphonon excitations in well-deformed rotor nuclei within the geometric framework, by exact numerical diagonalization of the Bohr Hamiltonian in an $\mathrm{SO}(5)$ basis. Dynamical $\ensuremath{\gamma}$ deformation is found to significantly influence the predictions through its coupling to the rotational motion. Basic signatures for the onset of rigid triaxial deformation are also obtained.

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