Abstract:
In theoretical nuclear physics, it is essential to know the wave functions of our interesting nuclear systems. If we have known the wave functions, we can investigate several information on these nuclear systems. The purpose of our research is to determine the solutions of non-homogeneous boundary value problems with various sources by using Green's Function method. In our research work, we studied the wave function of nucleon-nucleon scattering process which is the non-homogeneous boundary value problem. We compared the two free (without interaction) radial Green's functions, one is solved by numerically with the help of difference method and another is solved by analytically with the use of residue theorem. It was found that these two free radial functions are equivalent. Therefore, we safely used numerically solved free radial Green's function in solving the Schrödinger radial equations with various potentials (with various source terms) which are repulsive square barrier, attractive square well, Yukawa and Gaussian potentials for this process.
Key words: radial wave function, Green’s function, difference method.
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