2019•arXiv (Cornell University)Open access
Coulomb transition matrix at negative energy and integer values of\n interaction parameter
В. Ф. Харченко
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Abstract
With the use of the stereographic projection of momentum space into the\nfour-dimensional sphere of unit radius. the possibility of the analytical\nsolution of the three-dimensional two-body Lippmann-Schwinger equation with the\nCoulomb interaction at negative energy has been studied. Simple analytical\nexpressions for the three-dimensional Coulomb transition matrix in the case of\nthe repulsive Coulomb interaction and positive integer values of the Coulomb\nparameter have been obtained. The worked out method has been also applied for\nthe generalized three-dimensional Coulomb transition matrix in the case of the\nattractive Coulomb interaction and negative integer values of the Coulomb\nparameter.\n
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