Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Application of random phase approximation to vibrational excitations of
  double-$\Lambda$ hypernuclei   Using the Hartree-Fock plus random-phase-approximation (HF+RPA), we study the
impurity effect of $\Lambda$ hyperon on the collective vibrational excitations
of double-$\Lambda$ hypernuclei. To this end, we employ a Skyrme-type $\Lambda
N$ and $\Lambda\Lambda$ interactions for the HF calculations, and the residual
interactions for RPA derived with the same interactions. We find that inclusion
of two $\Lambda$ hyperons in $^{16}$O shifts the energy of the collective
states towards higher energies. In particular, the energy of the giant monopole
resonance of $^{\,\,18}_{\Lambda\Lambda}$O, as well as that of
$^{210}_{\Lambda\Lambda}$Pb, becomes larger. This implies that the effective
incompressibility modulus increases due to the impurity effect of $\Lambda$
particle, if the $\beta$-stability condition is not imposed.

33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: econ
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg