Mathematical eikonal and spin effects in nucleon-nucleon scattering at high energy
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In this paper, a method of “mathematical” eikonal is proposed to solve a Lippmann-Schwinger type equation where the potential is not necessarily a real function, but may also be a complex function, while the Green function may have a form different from that used in the Schroedinger equation. In this method, the amplitude satisfies the optical theorem for both the real and the complex potentials. The differential cross sections for high energy proton-proton elastic scattering obtained by this method are in fairly good agreement with the experimental data if the spin is taken into account.
KeywordsDifferential Cross Section Optical Theorem Spin Effect Partial Wave Amplitude Schroedinger Equation
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