Abstract
This chapter presents a systematic method for obtaining new N-rank separable amplitudes of the two-body and the three-body equations. It discusses the Amado equation, which is modified from the three-body Faddeev equation by using the two-body Yamaguchi potential for the nucleon–nucleon interaction. The Amado equation can be integrated on the real axis because the kernel has a logarithmic cut on the real axis. However, a separable three-body form factor is found, which is regular on the real axis except for the cut. Therefore, a separable formalism can be given for a solution of the partial wave Amado equation as described in the chapter. The Amado equation is similar to the two-body Lippmann–Schwinger (L–S) equation. The L–S equation, however, has a simple analytic form as compared with the three-body case. In this case, the integral contour can be allowed on the real axis because there is no singularity on this axis except for a single pole, which can be removed by the method presented in this chapter.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
