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Prog. Theor. Phys. Vol. 19 No. 2 (1958) pp. 169-191

Theory of Direct Interaction in Nucleon Inelastic Scattering

Shiro Yoshida

Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo

(Received October 2, 1957)

Abstract:

For the inelastic scattering of nucleons at low and intermediate energies an approximate method is proposed by which the direct interaction process is calculated. From the coupled equation for the radial wave functions in various channels a standing wave solutions is obtained by perturbation approximation. For the asymptotic form of the wave function in outgoing channel we choose a proper form in such a way that the higher order contribution in perturbation expansion become small. The generalized K-matrix is calculated from the first order solution and later the S-matrix is transformed from the K-matrix. This method can give the exact solution in some simple cases and also is expected to give a good approximation in general cases.
By assuming the simple zero-range force between nucleon in the nucleus and the incident neutron the approximate method is applied to the inelastic scattering of neutrons by Mg²⁴. The effect of the Pauli principle is also estimated. The same process is calculated by assuming the collective excitation and both results are compared.

URL : http://ptp.ipap.jp/link?PTP/19/169/
DOI : 10.1143/PTP.19.169

[ Full Text PDF : FREE ACCESS (1849K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 19 No. 6 (1958) pp. 599-606 :

   Single Particle Transition in Neutron Inelastic Scattering by Deformed Nuclei

   Hiroyuki Matsunobu and Shiro Yoshida

2. Progress of Theoretical Physics Vol. 21 No. 3 (1959) pp. 468-471 :

   On the Intermediate Resonance Levels in the Nuclear Reactions

   Sin-iti Igarasi, Ko Izumo and Takeshi Udagawa

3. Progress of Theoretical Physics Vol. 27 No. 1 (1962) pp. 155-179 :

   The Semi-Classical Model for the Nuclear Reaction at Intermediate Energies

   Mitsuji Kawai

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