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Prog. Theor. Phys. Vol. 51 No. 1 (1974) pp. 134-154

[ Full Text PDF : FREE ACCESS (1692K) ]

A New Variational Method and Binding Energy of the Triton with Realistic Potentials

Yoshinori Akaishi, Motoki Sakai, Jun Hiura* and Hajime Tanaka

Department of Physics, Hokkaido University, Sapporo
*College of Liberal Arts, Iwate University, Morioka

(Received August 13, 1973)

Abstract:

A new variational method is proposed on the basis of the multiple scattering theory. The new method settles difficulty in constructing a trial wave function in the presence of the repulsive core and the strong tensor force of realistic potentials. The D-state function has a form much different from Jastrow's one. Derrick and Blatt's expansion of the wave function is made. The Hamada-Johnston (H-J) and the Tamagaki (OPEH and OPEG) potentials are employed. The upper-bound energies for the triton are found to be -6.0 MeV for H-J, -6.59 MeV for OPEH and -6.64 MeV for OPEG. Detailed contributions to the interaction energy are calculated. The tensor force in the triplet-even state has the largest contribution and in the case of H-J, nonstatic forces have contribution of about -3 MeV. The new method is powerful in solving the three-nucleon problem with realistic potentials.


URL : http://ptp.ipap.jp/link?PTP/51/134/
DOI : 10.1143/PTP.51.134

[ Full Text PDF : FREE ACCESS (1692K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1763-1764 :
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  2. Progress of Theoretical Physics Vol. 51 No. 1 (1974) pp. 155-172 :
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  3. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1979-1980 :
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  4. Progress of Theoretical Physics Vol. 52 No. 4 (1974) pp. 1394-1395 :
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  5. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 732-749 :
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  6. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1406-1419 :
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  7. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1848-1850 :
    Effect of Three-Body Force in Nuclear Matter
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  8. Progress of Theoretical Physics Vol. 64 No. 1 (1980) pp. 162-183 :
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  9. Progress of Theoretical Physics Vol. 66 No. 3 (1981) pp. 930-939 :
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    Masahiro Sato, Yoshinori Akaishi and Hajime Tanaka
  10. Progress of Theoretical Physics Supplement No.56 (1974) pp. 6-31 :
    Chapter II. The ATMS Method and the Three-Nucleon System with Realistic Potentials
    Yoshinori Akaishi, Motoki Sakai, Jun Hiura and Hajime Tanaka
  11. Progress of Theoretical Physics Supplement No.56 (1974) pp. 32-53 :
    Chapter III. Binding Energy of the Alpha Particle
    Motoki Sakai, Ichirô Shimodaya, Yoshinori Akaishi, Jun Hiura and Hajime Tanaka
  12. Progress of Theoretical Physics Supplement No.56 (1974) pp. 54-75 :
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  13. Progress of Theoretical Physics Supplement No.56 (1974) pp. 76-95 :
    Chapter V. Effects of Three-Body Force in the Triton and the Alpha Particle
    Masahiro Sato, Yoshinori Akaishi and Hajime Tanaka
  14. Progress of Theoretical Physics Supplement No.56 (1974) pp. 96-107 :
    Chapter VI. Effects of Three-Body Force in Nuclear Matter
    Teruhisa Kasahara, Yoshinori Akaishi and Hajime Tanaka
  15. Progress of Theoretical Physics Supplement No.56 (1974) pp. 108-120 :
    Chapter VII. Negative-Parity States of the Alpha Particle
    Motoki Sakai, Yoshinori Akaishi and Hajime Tanaka

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