On the Adiabatic Nuclear Potential, I

概要

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The "nuclear force", inspite of its longest career, is one of the most complicated unsolved problems in the meson theory. We will investigate this problem on a non-relativistic basis. First, we analyze the special natures of the phenomena, "nuclear forces". Then making use of the foregoing analysis, we discuss the problem qualitaitvely, for instance, what kind of approximation we should employ. As the results of these discussions, we can conclude that no single approximation such as weak coupling or strong coupling will be capable of explaining the phenomena, and that the higher order calculations would not be able to help the situation out of discrepancies, if the adiabatic nuclear potential computed up to 4-th order could not fit the experimental data in the low energy region where the weak coupling theory is expected to hold. Second, based on the above considerations, we calculate the 4-th order adiabatic nuclear potential by the method of canonical transformations. In order to obtain a meaningful 4-th order adiabatic potential, it is necessary that the 2nd order one can be derived in the Schroedinger approximation without referring to the Pauli approximation. Interesting is the result that thus derived potential agrees with the one derived by the S-matrix method.
理論物理学刊行会の論文
1951-10-00