Discrepancies in Partial Wave Dispersion Relations and a Possible Strong van der Waals Force
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概要
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Existence of the strong van der Waals force between hadrons is expected in the magnetic monopole model of hadrons. The long range potential V(r)≈-C/r^7 for large r implies the singularity -C't^2ln(-t) of the scattering amplitude A(ν,t). The poin-poin and the nucleon-nucleon scattering data are analysed in search of such a sigularity at t=0. P-wave amplitudes are the most convenient place to find the singularity, since a_1(ν)/ν has a cusp C〃ν1nν at ν=0. From the cusp of the π-π amplitude of l=1, the coefficient of the van der Waals potential C is determined: C=3.1 in μ_π=1 unit. On the other hand, the cusp of the central P-wave amplitude of proton-proton scattering, after separating the Coulomb and the vacuum polarization effect, gives C=10.7 also in μ_π=1 unit. Implications of a possible stoing van der Waals force in the hadron physics are discussed.
- 一般社団法人日本物理学会の論文
- 1980-06-25
著者
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Sawada T
Nihon Univ. Tokyo Jpn
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Sawada Tetsuo
Institute Of Physics University Of Tsukuba
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SAWADA Tetsuo
Institute of Physics, University of Tsukuba
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- Discrepancies in Partial Wave Dispersion Relations and a Possible Strong van der Waals Force