Amplitude Analysis of Pion-Nucleon Scattering Based on the Peripherality
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概要
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An energy-independent amplitude analysis (EIAA) of pion-nucleon elastic and charge exchange scattering is performed at P_<1ab>=6 GeV/c assuming the peripherality (the Besselfunction representation) for Im F^1_<+±>, where the superscript on the amplitude F is the t-channel isospin and the subscript ++(+-) refers to the s-channel helicity non-flip (flip). Three representative sample solutions A1, A2 and A3 of the EIAA are presented and compared with previous results of amplitude analyses, the dual geometrical model (DGM) proposed by the present authors and other related models. The three solutions have many interesting features which are different from one another and illustrate how many ambiguities exist in the determination of the amplitudes. Furthermore, an energy-dependent amplitude analysis (EDAA) is performed for P_<1ab>=2073~1705GeV/c in order to investigate the s- and the t-dependence of F^0_<++>, and a P-P' separation of Im F^0_<++> is attempted by assuming the peripherality for the P' term. It is found from the result of the EIAA and the EDAA that i) the DGM is consistent with the solution A1 of the EIAA if the pomeron part of F^0_<++> has an appropriate negative real part, ii) the result of Re F^1<++> is very sensitive to the value of the radius of the peripheral interaction (the radius appearing in the argument of the Bessel function), iii) various conventional approximations based on the assumption that F^0<++> is predominantly imaginary are quantitatively invalid in some cases, and iv) the peripherality of the P' part of Im F^0<++> is preserved if the pomeron part shrinks definitely as s increases.
- 理論物理学刊行会の論文
- 1973-11-25
著者
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Kohsaka Yasutsugu
Department Of Physics Tohoku University
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Takagi Fujio
Department Of Basic Sciences Ishinomaki Senshu University
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