Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the relation between $E(5)-$models and the interacting boson model   The connections between the $E(5)-$models (the original E(5) using an
infinite square well, $E(5)-\beta^4$, $E(5)-\beta^6$ and $E(5)-\beta^8$), based
on particular solutions of the geometrical Bohr Hamiltonian with
$\gamma$-unstable potentials, and the interacting boson model (IBM) are
explored. For that purpose, the general IBM Hamiltonian for the $U(5)-O(6)$
transition line is used and a numerical fit to the different $E(5)-$models
energies is performed, later on the obtained wavefunctions are used to
calculate B(E2) transition rates. It is shown that within the IBM one can
reproduce very well all these $E(5)-$models. The agreement is the best for
$E(5)-\beta^4$ and reduces when passing through $E(5)-\beta^6$, $E(5)-\beta^8$
and E(5), where the worst agreement is obtained (although still very good for a
restricted set of lowest lying states). The fitted IBM Hamiltonians correspond
to energy surfaces close to those expected for the critical point. A phenomenon
similar to the quasidynamical symmetry is observed.

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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph