The dependence of the energy of the lowest pairing-vibrational state on the quadrupole-pairing strength G 2 is investigated in the Pt isotopes. The calculation are made using the Random Phase Approximation for the collective states with the pairing forces treated in the BCS approximation.Recently a lot of new experimental data concerning the collective states in the even Pt isotopes appeared [1]. Studying the properties of the first excited 0+ state one can notice that the values of the Rasmussen parameter [2] which characterises the ratio of E0 to E2 transitions for this 0 + state are much smaller than those for the Rare-Earth elements with the same equilibrium deformation. It is also interesting to notice that for the light well deformed isotopes (A= 184, 186) the first excited 0+ state lies very low [1].The value of the Rasmussen parameter was calculated in [3] with the use of the RPA method including the restoring quadrupole-quadrupole and monopole pairing interactions. In the case of Platinium isotopes the results are quite unsatisfactory. It seems to us that one has to look for another explanation for these very low values of the Rasmussen parameter in the even Pt isotopes as well as for the very low position of the first 0+ state in the 184pt and 186pt.In the neighbourhood of the proton Fermi level in the Pt region one can find the single-particle levels with different signs of the singleparticle quadrupole moment. In such a situation the quadrupole component of the pairing force [4,5] can play an important role.In this paper we would like to make the first step in studying the influence of the quadrupole-pairing force on the position of 0 + vibrational state, namely, we exclude the quadrupole-quadrupole restoring force keeping only the monopole and quadrupole pairing interactions.
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