Physics
Scientific paper
Dec 1948
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1948phrv...74.1799r&link_type=abstract
Physical Review, vol. 74, Issue 12, pp. 1799-1801
Physics
1
Scientific paper
Some methods are reported of calculating accurately the depths of different shape potentials of the deuteron for non-central forces. Starting with a square well, we know the radial S and D wave functions u and w outside the well. Inside the range of interaction we assume a general expansion in terms of modes. These modes for u and w we take to be Bessel functions of order one-half and five-halves, respectively. The wave-lengths of these modes are determined by requiring the continuity of the logarithmic derivative. Using the variational principle for one mode and then two such modes, we get 95 percent and 99 percent of the full binding energy. With an exponential times a power of the interparticle distance as our modes, we decided to relax the joining condition so as to require only continuity at the potential edge. The results for the square well were excellent. This method was extended to the exponential and meson potentials. The accurate depths for these potentials were calculated with these modes as initial trial wave function for the iteration-variational method developed by Feshbach and Schwinger. The relaxed continuity procedure was successfully applied to the triton problem without and with tensor forces.
No associations
LandOfFree
Deuteron and Triton Methods does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Deuteron and Triton Methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deuteron and Triton Methods will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1001611