Complex conjugate pairs in stationary Sturmian eigenstates

P. J. Dortmans, L. Canton, G. Pisent, and K. Amos
Phys. Rev. C 49, 2828 – Published 1 May 1994
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Abstract

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 generalized 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.

  • Received 14 December 1993

DOI:https://doi.org/10.1103/PhysRevC.49.2828

©1994 American Physical Society

Authors & Affiliations

P. J. Dortmans, L. Canton, and G. Pisent

  • Istituto Nazionale di Fisica Nucleare e Dipartimento di Fisica dell’Università di Padova, via Marzolo 8, Padova I-35131, Italy

K. Amos

  • School of Physics, University of Melbourne, Parkville, 3052 Victoria, Australia

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Issue

Vol. 49, Iss. 5 — May 1994

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