Complex Kohn Variational Principle for Two-Nucleon Bound-State and Scattering with the Tensor Potential
✍ Scribed by Carlos F. de Araujo Jr.; Sadhan K. Adhikari; Lauro Tomio
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 352 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
✦ Synopsis
Complex Kohn variational principle is applied to the numerical solution of the fully off-shell Lippmann-Schwinger equation for nucleon-nucleon scattering for various partial waves including the coupled ({ }^{3} S_{1}-{ }^{3} D_{1}) channel. Analytic expressions are obtained for all the integrals in the method for a suitable choice of expansion functions. Calculations with the partial waves ({ }^{1} S_{0},{ }^{1} P_{1},{ }^{1} D_{2}), and ({ }^{3} S_{1}-{ }^{3} D_{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 modify this variational principle in order to make it suitable for bound-state calculation. The bound-state approach is illustrated for the ({ }^{3} S_{1}{ }^{3} D_{1}) channel of the Reid soft-core potential for calculating the deuteron binding, wave function, and the (D) state asymptotic parameters. () 1995 Academic Press, Inc.