Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2012-01-30
Physics
Nuclear Physics
Nuclear Theory
17 pages, 4 figures, 1 table
Scientific paper
The mean values of a many-body Hamiltonian including a proton-neutron pairing term and matrix elements of one-, two- and four-body operators within a basis of particle number projected BCS states, are analytically expressed in terms of a single function Q(N) depending on the number of particles, $N$. The function Q(N) is calculated using a recursion in $N$ in which the shells and the BCS angles are kept the same for any step of iteration. An illustrative example is numerically considered in a restricted single particle space. Some specific features for the standard BCS, the projection after variation approach as well as for the variation after projection formalism, are pointed out.
Faessler Amand
Krivoruchenko M. I.
Raduta A. A.
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