Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collective motion in triaxial nuclei within minimal length concept   The concept of minimal length, inspired by Heisenberg algebra, is applied to
the geometrical collective Bohr- Mottelson model (BMM) of nuclei. With the
deformed canonical commutation relation and the Pauli-Podolsky prescription, we
have derived the quantized Hamiltonian operator for triaxial nuclei as we have
previously done for axial prolate $\gamma$-rigid ones (M. Chabab et al., Phys.
Lett. B 758 (2016) 212-218). By considering an infinite square well like
potential in $\beta$ collective shape variable, the eigenvalues of the
Hamiltonian are obtained in terms of zeros of Bessel functions of irrational
order with an explicit dependence on the minimal length parameter. Moreover,
the associated symmetry with the model that we have constructed here can be
considered as a new quasi-dynamical critical point symmetries (CPSs) in nuclear
structure. The theoretical results indicate a dramatic contribution (Low
effect) of the minimal length to energy levels for lower values of the angular
momentum and regular (significant effect) for higher values. In fact, these
features show that the minimal length scenario which is useful in recognizing
the 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 with
the experimental data.

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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int