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arXiv · 1112.6048

Application of random phase approximation to vibrational excitations of double-$\Lambda$ hypernuclei

F. Minato·K. Hagino
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Abstract

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.

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F. Minato, K. Hagino. 2011-12-28. Application of random phase approximation to vibrational excitations of double-$\Lambda$ hypernuclei. https://doi.org/10.1103/physrevc.85.024316

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