Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1993-12-22
Phys.Rev.C49:2828-2830,1994
Physics
Nuclear Physics
Nuclear Theory
(REVTEX) 8 Pages, Padova DFPD 93/TH/78 and University of Melbourne
Scientific paper
10.1103/PhysRevC.49.2828
Sturmian eigenstates specified by stationary scattering boundary conditions are particularly useful in contexts such as forming simple separable two nucleon t matrices, and are determined via solution of generalised eigenvalue equation using real and symmetric matrices. In general, the spectrum of such an equation may contain complex eigenvalues. But to each complex eigenvalue there is a corresponding conjugate partner. In studies using realistic nucleon--nucleon potentials, and in certain positive energy intervals, these complex conjugated pairs indeed appear in the Sturmian spectrum. However, as we demonstrate herein, it is possible to recombine the complex conjugate pairs and corresponding states into a new, sign--definite pair of real quantities with which to effect separable expansions of the (real) nucleon--nucleon reactance matrices.
Amos Ken
Canton Luciano
Dortmans P. J.
Pisent G.
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