Abstract

A general method is presented for eliminating, in the theoretical values of the nuclear mass-tensor components, the unphysical effects due to the nuclear number fluctuation allowed by the usual BCS wave functions. General formulas for number-projected orthonormalized pairing wave functions and their energies are established in the quasiparticle representation. Analytical expressions are given for the pertinent pairing correlation matrix elements and overlap integrals, with strict nucleon number conservation. The importance and validity of the physical and mathematical approximations used are discussed. The tensor so obtained, without number dispersion spurious effects, is compared to the pure BCS tensor.

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