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

Minato, Futoshi   ; Hagino, Koichi*

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 $$LambdaLambda$$ 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 $$^{18}_{LambdaLambda}$$O, as well as that of $$^{210}_{LambdaLambda}$$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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Category:Physics, Nuclear

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