Norm-overlap formula of Hartree-Fock-Bogoliubov states with odd number parity

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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14 pages (12pts), no figure

Scientific paper

10.1016/j.physletb.2011.12.040

A formula to calculate a norm overlap between Hartree-Fock-Bogoliubov (HFB) states with the odd number parity (one quasi-particle excited states) is derived with help of the Grassmann numbers and the Fermion coherent states. The final form of the formula is expressed in terms of a product of the Pfaffian for a neighboring even-even system (the zero quasi-particle state), and an extra factor consisting of the Bogoliubov transformation matrix and the anti-symmetric matrix in Thouless' HFB ansatz for the even-even system.

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