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Evidence suggesting a need for fundamental changes in scattering theory obtained from a comparison of the data of the scatterings π++p → π++p,4He(p, p)4He,3He(p, p)3He,2H(p, p)2H

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Il Nuovo Cimento A (1965-1970)

Summary

When the data sets ofk 2 dσ/dΩ(ϑ) in4He(p, p)4He and π++p → → π++p are compared at c.m. momenta related byp π =4p 4, wherep 4 is the momentum of4He(p, p)4He andp π is the momentum of the π+p scattering, a correlation between them is found over most of thep π range from 125MeV/c to 1125MeV/c. This correlation is most marked in the region of the lowest energy resonance for both scatterings, which is in the2 P 3/2 phase shift for both. In that region, it takes the form of approximate equality of peak locations and peak widths at large back angles and, for a sizeable part of the region and a large range of angles, of equality of the quantities. Above this resonance region the correlation is less direct. In the low-energy resonance region there is also a strong resemblance of the data set of3He(p, p)3He to that of the p-4He scattering when they are compared at ratios of momenta given by 4p 4=3p 3, wherep 3 is the momentum of the p-3He scattering. A less pronounced resemblance is also seen in this region for2H(p, p)2H and the others when the momenta are related by 4p 4=2p 2, wherep 2 is the momentum of the p-2H scattering. The prescription for relating the momenta for all the comparisons is summarized in the formulaN i p i =N j p j , wherei andj refer to the two scatterings being compared andN is an integer equal toA for the proton-nucleus scatterings and 1 for π+p scattering. It is possible, of course, that all of this is simply fortuitous, but the simplicity of the prescription for relating the momenta along with the remarkable degree and extent of the correlations among the data sets suggests the possibility of a physically significant pattern. If such a pattern does indeed exist, fundamental changes in the theories pertaining to these scatterings, including the theory of resonance scattering, will be needed. In particular, some form of relation between the electromagnetic interaction and the strong nuclear interaction would seem to be necessary.

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    LeRoy W. Morrow

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Morrow, L.W. Evidence suggesting a need for fundamental changes in scattering theory obtained from a comparison of the data of the scatterings π++p → π++p,4He(p, p)4He,3He(p, p)3He,2H(p, p)2H. Nuov Cim A 105, 1579–1600 (1992). https://doi.org/10.1007/BF02731072

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