Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cluster formations in deformed states for $^{28}$Si and $^{32}$S   We study cluster formation in strongly deformed states for $^{28}$Si and
$^{32}$S using a macroscopic-microscopic model. The study is based on
calculated total-energy surfaces, which are the sums of deformation-dependent
macroscopic-microscopic potential-energy surfaces and rotational-energy
contributions. We analyze the angular-momentum-dependent total-energy surfaces
and identify the normal- and super-deformed states in $^{28}$Si and $^{32}$S,
respectively. We show that at sufficiently high angular momenta strongly
deformed minima appear. The corresponding microscopic density distributions
show cluster structure that closely resemble the $^{16}$O+$^{12}$C and
$^{16}$O+$^{16}$O configurations. At still higher deformations, beyond the
minima, valleys develop in the calculated surfaces. These valleys lead to mass
divisions that correspond to the target-projectile configurations for which
molecular resonance states have been observed. We discuss the relation between
the one-body deformed minima and the two-body molecular-resonance states.

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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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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: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat