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Prog. Theor. Phys. Vol. 42 No. 2 (1969) pp. 245-274

[ Full Text PDF : FREE ACCESS (1833K) ]

Shell Model Calculation of Form Factors for One-Nucleon Transfer Reactions

Masamichi Igarashi, Mitsuji Kawai* and Koichi Yazaki

*Department of Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo
Institute of Physics, College of General Education, University of Tokyo, Komaba, Tokyo

(Received April 4, 1969)

Abstract:

The method of calculating the form factor for a stripping or a pick-up reaction proposed in a previous paper is applied to a simple case of the neutron transfer reaction involving a nucleus with two particles or holes plus a closed shell core. The formula for the overlap integral which gives the form factor is presented in the form convenient for the actual calculation. The numerical calculation is performed for the case of neutron pick-up reaction on O18 and the result is compared with that obtained by the conventional separation energy method. It is found that the two are very similar, but that the overlap integral obtained by the present method tends to be shifted towards the outer region compared to that obtained by the separation energy method. The formal structure of the method is also studied in detail and is compared with those of other similar methods. Discussion is given in particular on the accuracy of the method, the effect of the Pauli principle and the effective interaction used in the calculation. The present method is found to be particularly suited for the test of the model wave function used in the form factor calculation.


URL : http://ptp.ipap.jp/link?PTP/42/245/
DOI : 10.1143/PTP.42.245

[ Full Text PDF : FREE ACCESS (1833K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 825-851 :
    An Analysis of Some Neutron Transfer Reactions Using Microscopic Form Factors
    Masamichi Igarashi, Mitsuji Kawai and Koichi Yazaki
  2. Progress of Theoretical Physics Vol. 49 No. 4 (1973) pp. 1205-1219 :
    Shell-Model Calculation of α-Transfer Form Factors and α-Widths
    Koichi Yazaki
  3. Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 1974-2004 :
    Analysis of Alpha-Decay Widths for Molecular Viewpoints in Light Nuclei
    Hisashi Horiuchi and Yasuyuki Suzuki
  4. Progress of Theoretical Physics Vol. 69 No. 6 (1983) pp. 1704-1716 :
    Effects of the Proton-Neutron Hole Interaction to the Form Factor in (d,t) Reactions on N = 50 Target Nuclei
    Ryo-ichi Namai
  5. Progress of Theoretical Physics Supplement No.52 (1972) pp. 89-172 :
    Chapter III. Molecule-Like Structures in Nuclear System
    Hisashi Horiuchi, Kiyomi Ikeda and Yasuyuki Suzuki
  6. Progress of Theoretical Physics Supplement No.68 (1980) pp. 29-192 :
    Chapter II. Comprehensive Study of Alpha-Nuclei
    Yoshikazu Fujiwara, Hisashi Horiuchi, Kiyomi Ikeda, Masayasu Kamimura, Kiyoshi Katō, Yasuyuki Suzuki and Eiji Uegaki

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