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- W2010111304 abstract "Abstract The nuclear Hamiltonian has been replaced by another one which is identical with respect to the motion of the nucleons in their centre-of-mass-system, i.e. to their intrinsic motion. The new Hamiltonian can be diagonalized in a shell-model basis without destroying translational invariance or giving rise to spurious effects due to the c.m. motion. This provides an alternative to the usual variational approach for handling very light nuclei provided difficulties arising from the hard core in the nucleon-nucleon potential are somehow circumvented. The method is extended to the nuclear Hamiltonian within the framework of the many-particle shell model, where corrective terms are found to arise when a non-local central potential is used. Finally the method is applied to the many-particle shell model in the Tamm-Dancoff approximation. Matrix elements of the terms, which take properly into account the c.m. motion, are found to be very important for 1 − states. It is shown in a quite general way that in the usual many-particle shell model 1 − , T = 1 excited states approximately describe the intrinsic motions, while 1 − , T = 0 excited states are generally spurious." @default.
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- W2010111304 date "1967-06-01" @default.
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- W2010111304 title "Intrinsic motion and translational invariance in shell-model calculations" @default.
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