Abstract
The Bethe-Salpeter equation for nucleon-nucleon scattering is a singular integral equation, and it is therefore not certain that a unique solution exists. It is shown that the equation is soluble for states of all angular momentum, parity and isotopic spin if, and only if,
g
2
/4
π
is less than 1/6
π
. The range of values of
g
for which there exist solutions of a particular angular momentum and parity is given. The Bethe-Salpeter equation for meson-nucleon scattering is also examined. In this case, the equation is soluble for all values of the coupling constant, but the solution, regarded as a function of
g
, will exhibit discontinuities when
g
passes through certain values.
Reference15 articles.
1. Singular Potentials
2. Corson E . M. 1953 Introduction to tensors spinors and relativistic wave equations. L ondon! Blackie and Son L td.
3. Proc;Sundaresan W. M.;Camb. Phil. Soc.,1956
4. Proc. Roy;Dirac P .;Soc. A,1936
5. Erd& yi A. 1953 Higher transcendental functions vol. 2. New Y ork: McGraw-Hill.
Cited by
18 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献