Microscopic analysis of a correlation between dipole transitions 11−→0g.s.+1^-_1 \to 0^+_{g.s.} and 31−→21+3^-_1 \to 2^+_{1} in spherical nuclei

Correlation between B($E1, 1^-_1 \to 0^+_{g.s.}$) and B($E1, 3^-_1 \to 2^+_{1}$) values are considered within microscopic QRPA approach. General arguments for a dependence of a ratio between these values on a collectivity of the $2^+_1$ and $3^-_1$ phonons and ground state correlations are provided.Comment: 2 page

Reply to comment ``On the test of the modified BCS at finite temperature''

This is our formal Reply to revised version (v2) of arXiv: nucl-th/0510004v2.Comment: accepted in Physical Review

Test of modified BCS model at finite temperature

A recently suggested modified BCS (MBCS) model has been studied at finite temperature. We show that this approach does not allow the existence of the normal (non-superfluid) phase at any finite temperature. Other MBCS predictions such as a negative pairing gap, pairing induced by heating in closed-shell nuclei, and ``superfluid -- super-superfluid'' phase transition are discussed also. The MBCS model is tested by comparing with exact solutions for the picket fence model. Here, severe violation of the internal symmetry of the problem is detected. The MBCS equations are found to be inconsistent. The limit of the MBCS applicability has been determined to be far below the ``superfluid -- normal'' phase transition of the conventional FT-BCS, where the model performs worse than the FT-BCS.Comment: 8 pages, 9 figures, to appear in PR