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Prog. Theor. Phys. Vol. 38 No. 4 (1967) pp. 907-919

Analysis of Pion-Nucleon Scattering at High Energy

Hiroyuki Kanada and Masaru Yasuno

Department of Physics, Nagoya University, Nagoya

(Received June 16, 1967)

Abstract:

Phenomenological analysis of π-N scattering at high energy (1 GeV/c \lesssim p_L \lesssim 10 GeV/c, where p_L is the incident pion momentum in laboratory system) is made by using the experimental data on differential cross sections and polarizations in π^±-p elastic scattering and π^--p charge exchange process. In this analysis, it is assumed that the differential cross sections for π^±-p scattering are dominated with the imaginary part of the spin non-flip amplitude and one of the π^--p charge exchange process is dominated with the spin flip amplitude. First, from the experiments we obtain the imaginary part of spin flip amplitude in part in each scattering process and then assuming the charge independence we can get the imaginary part in each iso-spin states, Im ν_3/2 and Im v_1/2.
The ratio of the real part to the imaginary part of the spin non-flip part in each of the processes α_± and α_c is taken from the experiments; α₊ ≃ -0.1, α_- ≃ -0.3 and |α_c| ∼ 1. Therefore in the frame of our analysis the ratio of the real part to the imaginary part of the spin flip amplitude β_± and β_c is obtained from the consistency of the experimental data; β₊ ∼ -0.87, β_- ∼ -0.51, and β_c ∼ 1 for α_c ∼ -1 or β_c ∼ -1 for β_c ∼ 1. Furthermore, the relation of these analyses with the regularity of the mass spectrum of nucleon isobars is discussed.

URL : http://ptp.ipap.jp/link?PTP/38/907/
DOI : 10.1143/PTP.38.907

[ Full Text PDF : FREE ACCESS (802K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1297-1318 :

   Phenomenological Analysis of Pion Nucleon Scattering at High Energies

   Ichita Endo, Miyo Ikeda, Masaaki Kawaguchi and Yoshio Sumi

2. Progress of Theoretical Physics Vol. 44 No. 4 (1970) pp. 1110-1112 :

   Dip-Bump Structure of Cross Section and Urbaryon Rearrangement. II

   Masahiro Imachi, Takashige Oroguchi, Shoichiro Otsuki and Fumihiko Toyoda

3. Progress of Theoretical Physics Vol. 45 No. 6 (1971) pp. 1849-1878 :

   Hadron Reactions and Urbaryon Rearrangement. I

   Masahiro Imachi, Takashige Oroguchi, Shoichiro Otsuki and Fumihiko Toyoda

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