COMPLEX KOHN VARIATIONAL PRINCIPLE FOR 2-NUCLEON BOUND-STATE AND SCATTERING WITH THE TENSOR POTENTIAL

Complex Kohn variational principle is applied to the numerical solutio n of the fully off-shell Lippmann-Schwinger equation for nucleon-nucle on scattering for various partial waves including the coupled S-3(1), D-3(1), channel. Analytic expressions are obtained for all the integra ls in the method for a suitable choice of expansion functions. Calcula tions with the partial waves S-1(0), P-1(1), D-1(2), and S-3(1)-D-3(1) of the Reid soft core potential show that the method converges faster than other solution schemes not only for the phase shift but also for the off-shell t matrix elements. We also show that it is trivial to m odify this variational principle in order to make it suitable for boun d-state calculation. The bound-state approach is illustrated for the S -3(1)-D-3(1) channel of the Reid soft-core potential for calculating t he deuteron binding, wave function, and the D state asymptotic paramet ers. (c) 1995 Academic Press, Inc.