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Prog. Theor. Phys. Vol. 21 No. 1 (1959) pp. 85-97

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Interpretation of the Optical Model in Nuclear Reactions

Satio Hayakawa, Tatuya Sasakawa,* Kazuhisa Tomita,* Masaru Yasuno* and Mario Yokota*

Research Institute for Fundamental Physics, Kyoto University
*Department of Physics, Kyoto University

(Received September 5, 1958)

Abstract:

The theoretical basis of the nuclear optical model is investigated for the elastic scattering of neutrons at low energies. It is argued in connection with statistical mechanics of irreversible processes that the characteristic feature of the optical model can be revealed by means of wave packets whose energy spread is wide enough to cover many compound levels. The giant resonance of the Lorentzian shape is found to result owing to fluctuations in the interaction potential which is experienced by an incident nucleon in a target nucleus. The imaginary part of the optical potential or the half width of a giant resonance is expressed by the product of the second moment and the correlation time. The latter is closely related to the concept of portée introduced by Bloch, with whom we share the same opinion in many respects. The correlation time is shown by our method to reveal a feature of the fluctuations and can be evaluated, if the bourth moment is known.


URL : http://ptp.ipap.jp/link?PTP/21/85/
DOI : 10.1143/PTP.21.85

[ Full Text PDF : FREE ACCESS (1015K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 22 No. 3 (1959) pp. 403-429 :
    Applicability Conditions of the Hydrodynamical Model of Multiple Production of Particles from the Point of View of Quantum Field Theory
    Chikashi Iso, Kenju Mori and Mikio Namiki
  2. Progress of Theoretical Physics Vol. 22 No. 6 (1959) pp. 843-856 :
    Semi-Phenomenological Interpretation of the Optical Model in Nuclear Reactions from the Point of View of Fluctuation-Dissipation Theorem
    Mikio Namiki
  3. Progress of Theoretical Physics Vol. 23 No. 4 (1960) pp. 629-661 :
    One-Particle Motions in Many-Particle Systems and the Optical Model in Nuclear Reactions
    Mikio Namiki
  4. Progress of Theoretical Physics Vol. 38 No. 2 (1967) pp. 431-448 :
    Dynamical Statistical Model of High Energy Elastic Scattering
    Mikio Namiki and Ichiro Ohba
  5. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 1974-1990 :
    What Does the Boson Missing Mass Spectrum Reveal?
    Mikio Namiki, Ichiro Ohba, Teruo Tamama and Yap Sue-Pin
  6. Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1423-1438 :
    Two-Channel Optical Model of High Energy Hadron-Nucleus Collisions
    Atsushi Nakamura and Mikio Namiki

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