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Continuum Discretization for Quantum Scattering and Nuclear Matter Calculations

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Abstract

Recent developments of the wave-packet continuum discretization approach are presented. A treatment of the Hamiltonian’s pseudostates as approximations for stationary wave packets allows to evaluate the total resolvent and the transition operator by using a diagonalisation of the Hamiltonian matrix in some appropriate \(L_2\) basis. The approach is shown to be very useful for studying continuous spectrum problems in medium, in particular, for infinite nuclear matter. As a result, the reaction matrix for different relative momenta and different energies can be found by using a single diagonalisation procedure which simplifies drastically self-consistent calculations for the equation of state in infinite nuclear matter.

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Correspondence to O. A. Rubtsova.

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Authors appreciate partial financial support from Russian Foundation for Basic Researches (RFBR) Grant 16-02-00049 and joint RFBR-DFG Grant 16-52-12005.

This article belongs to the Topical Collection “The 23rd European Conference on Few-Body Problems in Physics”.

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Rubtsova, O.A., Kukulin, V.I. & Pomerantsev, V.N. Continuum Discretization for Quantum Scattering and Nuclear Matter Calculations. Few-Body Syst 58, 130 (2017). https://doi.org/10.1007/s00601-017-1293-3

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  • DOI: https://doi.org/10.1007/s00601-017-1293-3

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