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- W2113286857 abstract "Abstract For nonsingular two nucleon forces, we have derived from the variational principle the equation of a pair of nucleons embedded in a finite nucleus, assuming other nucleons to be in the well-defined single particle orbitals. The total wave functions of the system are completely antisymmetrized with respect to the interchange of particles, and the boundary condition of the square integrability of the stationary state wave functions is incorporated in the treatment. In Model I which corresponds to the independent pair model the extrapair nucleons are in the well-defined preassigned single particle orbitals of any type, e.g., Fermi or Shell model or Hartree-Fock orbitals; the effect of the pair on these single particle orbitals is neglected. In Model II we consider the effect of the pair on the single particle orbitals by extremizing the total energy with respect to the pair as well as the single particle orbitals. The final equation of the pair in both cases is similar and unlike the usual Bethe-Goldstone equation has hermitian operators, which means that this equation defines an eigenvalue problem. In the pair equation of motion of two nucleons additional to a closed shell, the term describing the interaction of these two particles, as derived from the variational analysis, is the full two nucleon potential." @default.
- W2113286857 created "2016-06-24" @default.
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- W2113286857 date "1966-01-01" @default.
- W2113286857 modified "2023-09-27" @default.
- W2113286857 title "Variational derivation of the pairing equation in a finite nucleus" @default.
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- W2113286857 doi "https://doi.org/10.1016/0003-4916(66)90291-0" @default.
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