R. K. Kalinauskas

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A basis of harmonic-oscillator functions has proven to be extremely useful and efficient in describing compact quantum systems, such as nucleons in atomic nuclei and quarks in hadrons. The traditional applications, such as the nuclear shell-model, however, are based on a model Hamiltonian with individual one-particle variables. Hence, the corresponding(More)
The wave function of a self-bound system in the absence of external fields must be invariant in respect of spatial translations as well as antisymmetric in respect of all permutations of the fermions. Translational invariance of a wave function means that it is dependent only on instrinsic degrees of freedom of the system. The traditional applications, such(More)
We present a very simple expression and a Fortran code for the fast and precise calculation of three-dimensional harmonic-oscillator transformation brackets. The complete system of symmetries for the brackets along with analytical expressions for sums, containing products of two and three brackets, is given.
The charge-dependent realistic nuclear Hamiltonian for a nucleus, composed of neutrons and protons, can be successfully approximated by a chargeindependent one. The parameters of such a Hamiltonian, i.e., the nucleon mass and the NN potential, depend upon the mass number A, charge Z and isospin quantum number T of state of the studied nucleus. Typeset using(More)
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