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The Lippmann-Schwinger equation for the nucleon-nucleon $t$-matrix as well asthe corresponding Bethe-Goldstone equation to determine the Brueckner reactionmatrix in nuclear matter are reformulated in terms of the resolvents for thetotal two-nucleon Hamiltonians defined in free space and in mediumcorrespondingly. This allows to find solutions at many energies simultaneouslyby using the respective Hamiltonian matrix diagonalization in the stationarywave packet basis. Among other important advantages, this approach simplifiesgreatly the whole computation procedures both for coupled-channel $t$-matrixand the Brueckner reaction matrix. Therefore this principally novel scheme isexpected to be especially useful for self-consistent nuclear mattercalculations because it allows to accelerate in a high degree single-particlepotential iterations. Furthermore the method provides direct access to theproperties of possible two-nucleon bound states in the nuclear medium. Thecomparison between reaction matrices found via the numerical solution of theBethe-Goldstone integral equation and the straightforward Hamiltoniandiagonalization shows a high accuracy of the method suggested. The proposedfully discrete approach opens a new way to an accurate treatment of two- andthree-particle correlations in nuclear matter on the basis of three-particleBethe-Faddeev equation by an effective Hamiltonian diagonalization procedure.

Discrete Wave-Packet Representation in Nuclear Matter Calculations