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The concept of minimal length, inspired by Heisenberg algebra, is applied tothe geometrical collective Bohr- Mottelson model (BMM) of nuclei. With thedeformed canonical commutation relation and the Pauli-Podolsky prescription, wehave derived the quantized Hamiltonian operator for triaxial nuclei as we havepreviously done for axial prolate $\gamma$-rigid ones (M. Chabab et al., Phys.Lett. B 758 (2016) 212-218). By considering an infinite square well likepotential in $\beta$ collective shape variable, the eigenvalues of theHamiltonian are obtained in terms of zeros of Bessel functions of irrationalorder with an explicit dependence on the minimal length parameter. Moreover,the associated symmetry with the model that we have constructed here can beconsidered as a new quasi-dynamical critical point symmetries (CPSs) in nuclearstructure. The theoretical results indicate a dramatic contribution (Loweffect) of the minimal length to energy levels for lower values of the angularmomentum and regular (significant effect) for higher values. In fact, thesefeatures show that the minimal length scenario which is useful in recognizingthe properties of real deformed nuclei having high spins or strong rotations.Finally, numerical calculations are performed for some nuclei such as${}^{124,128,130}$Xe and ${}^{114}$Pd revealing a qualitative agreement withthe experimental data.

Collective motion in triaxial nuclei within minimal length concept