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Prog. Theor. Phys. Vol. 26 No. 5 (1961) pp. 627-646

[ Full Text PDF : FREE ACCESS (1052K) ]

Dispersion Relations in Nucleon-Nucleon Scattering and Resonances in Many-Pion System

Yasuo Hara

Department of Physics, University of Tokyo, Tokyo

(Received June 27, 1961)

Abstract:

The two-pion contribution to the absorptive part of the forward nucleon-nucleon scattering amplitude in the unphysical region is calculated numerically in Cini-Fubini approximation. The magnitude of the contribution to the absorptive part from multi-pion (three and more-pion) intermediate states is evaluated from the relations used as sum rules and it is found that a resonance appears either in T = 0, J = 1, odd parity state (neutral vector boson) or in T = 0, J = 0, odd parity state (neutral pseudoscalar boson) or in both states of the multi-pion system. If the resonance is caused by a neutral vector boson with 3 pion-mass, the magnitude of the rationalized vector coupling constant is fV2/4π= 1.2.


URL : http://ptp.ipap.jp/link?PTP/26/627/
DOI : 10.1143/PTP.26.627

[ Full Text PDF : FREE ACCESS (1052K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 429-430 :
    Note on the Dispersion Relations in Nucleon-Nucleon Scattering and Resonances in Many-Pion System
    Yasuo Hara
  2. Progress of Theoretical Physics Vol. 27 No. 6 (1962) pp. 1103-1127 :
    Research of p-p Scattering at 10 Mev by the Dispersion Relation
    Shih-Hui Hsieh
  3. Progress of Theoretical Physics Vol. 27 No. 6 (1962) pp. 1199-1220 :
    Nuclear Forces and Bosons
    Norio Hoshizaki, Shoichiro Otsuki, Wataro Watari and Minoru Yonezawa
  4. Progress of Theoretical Physics Vol. 29 No. 2 (1963) pp. 235-254 :
    Coupled Partial-Wave-Dispersion-Relation for Nucleon-Nucleon Scattering and ρ- and ω-meson Contributions
    Susumu Furuichi
  5. Progress of Theoretical Physics Vol. 29 No. 3 (1963) pp. 422-438 :
    Investigation of p-p and n-p Scatterings at 10 Mev by Dispersion Relation
    Shih-Hui Hsieh and Setsuko Miyachi
  6. Progress of Theoretical Physics Vol. 31 No. 3 (1964) pp. 452-465 :
    Nucleon-Nucleon Scattering at 10 Mev and Pion-Pion Resonances
    Setsuko Miyachi

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