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Prog. Theor. Phys. Vol. 25 No. 3 (1961) pp. 441-460

[ Full Text PDF : FREE ACCESS (1093K) ]

Pion-Pion Interaction and Nuclear Forces

Yasunori Fujii

Department of Physics, College of Science and Engineering, Nihon University, Tokyo

(Received November 22, 1960)

Abstract:

Nuclear potentials arising from the pion-pion resonance in the state I=J=1 are calculated. Only the part proportional to ττ is considered. The resonant state is described both in the ρ-meson formalism and in the chain approximation method. The potentials are calculated explicitly in configuration space, at first in the ρ-meson formalism with its mass 600 Mev and the strength of coupling which corresponds to the width ∼60 Mev. The potentials are found to be of the nature of the two-pion exchange potentials. In particular there appear a strong attractive L-S potential and a repulsive central potential in the 3O-state, a strong repulsive tensor potential in the 3E-state, and a repulsive L-dependent potential in the 1E-state. Among these the tensor potential in the 3E-state and the central potential in the 3O-state can be considered to be too strong and violate some of the facts which have already been established. Therefore a careful examination of the results will offer a test for or against the assumption of the pion-pion resonance. The chain approximation method gives similar results. The electromagnetic form factors of the nucleon are reexamined and a remark is made concerning future investigation.


URL : http://ptp.ipap.jp/link?PTP/25/441/
DOI : 10.1143/PTP.25.441

[ Full Text PDF : FREE ACCESS (1093K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 25 No. 5 (1961) pp. 753-779 :
    Dispersion Relations for Kaon-Nucleon Scattering and KKππ Interaction
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  2. Progress of Theoretical Physics Vol. 26 No. 4 (1961) pp. 519-540 :
    Effects of the γ-3π Interaction on the Electromagnetic Properties of Deuteron
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  3. Progress of Theoretical Physics Vol. 26 No. 5 (1961) pp. 680-692 :
    Nonstatic One-Boson-Exchange Potentials
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  4. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 288-314 :
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  5. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 315-341 :
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  6. Progress of Theoretical Physics Vol. 27 No. 6 (1962) pp. 1199-1220 :
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  7. Progress of Theoretical Physics Vol. 28 No. 6 (1962) pp. 991-1025 :
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  8. 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
  9. Progress of Theoretical Physics Vol. 31 No. 4 (1964) pp. 623-641 :
    Nucleon-Nucleon Potential in the Triplet-Even State
    Ryozo Tamagaki, Masanobu Wada and Wataro Watari

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