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- W2015762949 abstract "A particle-number conserving approach is presented to solve the nuclear mean-field plus pairing Hamiltonian problem with a realistic deformed Woods-Saxon single-particle potential. The method is designed for the state-dependent monopole pairing Hamiltonian $H{^{}}_{mathrm{pair}}={ensuremath{sum}}_{ensuremath{alpha}ensuremath{beta}}{G}_{ensuremath{alpha}ensuremath{beta}}{c}_{ensuremath{alpha}}^{ifmmodedaggerelsetextdaggerfi{}}{c}_{ensuremath{alpha}phantom{rule{0ex}{0ex}}ifmmodebarelsetextasciimacronfi{}}^{ifmmodedaggerelsetextdaggerfi{}}{c}_{ensuremath{beta}phantom{rule{0ex}{0ex}}ifmmodebarelsetextasciimacronfi{}}{c}_{ensuremath{beta}}$ with an arbitrary set of matrix elements ${G}_{ensuremath{alpha}ensuremath{beta}}.$ Symmetries of the Hamiltonians on the many-body level are discussed using the language of $mathcal{P}$ symmetry introduced earlier in the literature and are employed to diagonalize the problem; the only essential approximation used is a many-body (Fock-space) basis cutoff. An optimal basis construction is discussed and the stability of the final result with respect to the basis cutoff is illustrated in details. Extensions of the concept of $mathcal{P}$ symmetry are introduced and their consequences for an optimal many-body basis cutoff construction are exploited. An algorithm is constructed allowing to solve the pairing problems in the many-body spaces corresponding to $pensuremath{sim}40$ particles on $nensuremath{sim}80$ levels and for several dozens of lowest lying states with precision $ensuremath{sim}$(1--2) % within seconds of the CPU time on a CRAY computer. Among applications, the presence of the low-lying seniority $s=0$ solutions, that are usually poorly described in terms of the standard approximations (BCS, HFB), is discussed and demonstrated to play a role in the interpretation of the spectra of rotating nuclei." @default.
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- W2015762949 date "1997-10-01" @default.
- W2015762949 modified "2023-09-30" @default.
- W2015762949 title "Fock-space diagonalization of the state-dependent pairing Hamiltonian with the Woods-Saxon mean field" @default.
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- W2015762949 doi "https://doi.org/10.1103/physrevc.56.1795" @default.
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