Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2011-10-11
Phys. Lett. B 707, 305-310 (2012)
Physics
Nuclear Physics
Nuclear Theory
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.
Mizusaki Takahiro
Oi Makito
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