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- W2046587612 abstract "Perturbational and variational calculations with single-particle Legendre functions have been made for the nuclear five-body problem of ${mathrm{He}}^{5}$. The symmetric Hamiltonian is employed; the values of the nuclear parameters chosen favor high binding. With a symmetric interaction, ${mathrm{Li}}^{5}$ and ${mathrm{He}}^{5}$ differ only in the Coulomb energy, states of the former lying about one Mev above those of the latter. The calculations show that there is no state of ${mathrm{He}}^{5}$ which is stable against dissociation into an alpha-particle and a neutron. There are two low-lying virtual levels, one of $^{2}P$, the other of $^{2}S$ symmetry; according to the Hartree model, the energies of these states are -11.7 and -6.5 Mev, respectively. Second-order perturbation calculations diminish the interval $^{2}Sensuremath{-}^{2}P$ radically and locate both the states in the neighborhood of -19.0 Mev. The last two results are roughly confirmed by variational calculations with two variation parameters (alpha-particle model), and -20 Mev may be set as a probable lower bound to the position of either state. These estimated values fall some seven Mev short of the experimental energy." @default.
- W2046587612 created "2016-06-24" @default.
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- W2046587612 date "1939-08-01" @default.
- W2046587612 modified "2023-10-16" @default.
- W2046587612 title "The Nuclear Five-Body Problem" @default.
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- W2046587612 doi "https://doi.org/10.1103/physrev.56.250" @default.
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