The Pion-Nucleon Dispersion Relation and Small P-Wave Phase Shifts

概要

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The behavior of the small p-wave phase shifts are investigated, with use of the integrated forms of the G. M. O. dispersion relations, which are free from the ambiguity due to the principal integral of the total cross sections but are sensitive to the real part of the amplitude at low energies (<100Mev). For the (3/2, 3/2) amplitude the result from Puppi's analysis is used besides the experimental data, which greatly reduces the ambiguity due to the lack of precise experimental knowledge on the (3/2, 3/2) phase shift at very low energies. It is shown that Lomon-Chiu's data on the small p-wave phase shifts are definitely in contradiction with the dispersion relation for the isospin even amplitude. This conclusion is not altered even if every one of the small p-wave phase shifts is varied by 100%. The disparity is removed, however, if we use rather large negative δ_<13> at low energies (<100Mev). On the other hand, for the isospin odd amplitude, there is no such disparity irrespective of such alternative choices of the small p-wave phase shifts with the coupling constant of 0.07~0.10.
理論物理学刊行会の論文
1959-06-25