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Application of the Alt-Grassberger-Sandhas equations to the three-alpha model

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Abstract

The three-alpha model of the12C nucleus is calculated by solving the Alt-Grassberger-Sandhas (AGS) equations with effective cluster-cluster potentials directly derived from the resonating-group method and modified by the orthogonality-condition model or the fish-bone optical model techniques. Instead of using Kukulin's pseudo-potential projection method for the Pauliforbidden state, which is approximative but the only method used up to now, we introduce a new exact method to give the transition matrices. The dependence of the12C binding energy on the strength of Serber force is shown.

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References

  1. Faddeev, L. D.: Sov. Phys. JETP12, 1014 (1961)

    Google Scholar 

  2. Alt, E. O., Grassberger, P., Sandhas, W.: Nucl. Phys.B2, 167 (1967)

    Google Scholar 

  3. Harrington, D. R.: Phys. Rev.147, 685 (1966)

    Google Scholar 

  4. E.g.: Ali, S., Bodmer, A. R.: Nucl. Phys.80, 99 (1966)

    Google Scholar 

  5. Kukulin, V. I., Neudatchin, V. G.: Nucl. Phys.A157, 609 (1970); Kukulin, V. I., Neudatchin, V. G., Obukhovski, I. T., Smirnov, Yu. F.: Clusters as Subsystems in Light Nuclei, in: Clustering Phenomena in Nuclei, Vol. 3 (Wildermuth, K., Kramer, P., eds). Wiesbaden: Vieweg 1983

    Google Scholar 

  6. Saito, S.: Prog. Theor. Phys.40, 893 (1968);41, 705 (1969)

    Google Scholar 

  7. Fujiwara, Y., Tamagaki, R.: Prog. Theor. Phys.56, 1503 (1976); Tamagaki, R., Fujiwara, Y.: Prog. Theor. Phys. Suppl.61, 229 (1977)

    Google Scholar 

  8. Kircher, R., Schmid, E. W.: Z. Phys.A299, 241 (1981); Kircher, R.: Thesis. University of Tübingen 1981 (unpublished); Kircher, R., Kamada, H., Oryu, S.: Prog. Theor. Phys.73, 1442 (1985)

    Google Scholar 

  9. Kamada, H., Oryu, S.: Prog. Theor. Phys.76, 1260 (1986); Kamada, H.: Thesis. Science University of Tokyo 1988 (unpublished)

    Google Scholar 

  10. Kamada, H., Oryu, S.: Nucl. Phys.A463, 347 (1987); Oryu, S., Kamada, H.: Nucl. Phys.A493, 91 (1989)

    Google Scholar 

  11. Schmid, E. W.: Z. Phys.A297, 105 (1980)

    Google Scholar 

  12. Wheeler, J. A.: Phys. Rev.52, 1083, 1107 (1937); Hill, D. L., Wheeler, J. A.: Phys. Rev.89, 1102 (1953); Griffin, J. J., Wheeler, J. A.: Phys. Rev.108, 311 (1957); Wildermuth, K., Tang, Y. C.: A Unified Theory of the Nucleus, in: Clustering Phenomena in Nuclei, Vol. 1 (Wildermuth, K., Kramer, P., eds.). Wiesbaden: Vieweg 1977

    Google Scholar 

  13. Ikeda, K., Tamagaki, R., Saito, S., Horiuchi, H., Tohsaki-Suzuki, A., Kamimura, M.: Prog. Theor. Phys. Suppl.62, 1 (1977)

    Google Scholar 

  14. Ernst, D. J., Shakin, C. M., Thaler, R. M.: Phys. Rev.C8, 46 (1973);C9, 1780 (1973);C10, 2176 (1974); McLeod, R. J., Ernst, D. J.: Phys. Rev.C18, 1060 (1978)

    Google Scholar 

  15. Zaikin, D. A.: Nucl. Phys.A170, 584 (1971)

    Google Scholar 

  16. Krasnopol'skii, V. M., Kukulin, V. I.: Sov. J. Nucl. Phys.20, 470 (1975)

    Google Scholar 

  17. Thompson, D. R., Reichstein, I., McClure, W., Tang, Y. C.: Phys. Rev.185, 1351 (1969)

    Google Scholar 

  18. Koike, Y.: Private communication

  19. Fukushima, Y., Kamimura, M.: Proc. Int. Conf. on Nuclear Structure, p. 225. Tokyo 1977; Kamimura, M.: Nucl. Phys.A351, 456 (1981)

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Author notes

  1. K. Samata & T. Suzuki

    Present address: Fijitsu Limited, 1015 Kamiodanaka, Nakahara, 211, Kawasaki, Kanagawa, Japan

  2. S. Nakamura

    Present address: Power Reactor and Nuclear Fuel Development Corporation, TOKAI WORKS, 4-33 Muramatsu, Tokai-mura, Naka-gun, 319-11, Ibaraki, Japan

Authors and Affiliations

  1. Department of Physics, Faculty of Science and Technology, Science University of Tokyo, 278, Noda, Chiba, Japan

    S. Oryu, K. Samata, T. Suzuki & S. Nakamura

  2. Institut für Theoretische Physik II, Ruhr-Universität Bochum, Universitätsstraße 150, D-44780, Bochum, Germany

    H. Kamada

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  1. S. Oryu
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  2. K. Samata
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  3. T. Suzuki
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  4. S. Nakamura
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  5. H. Kamada
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Dedicated to Prof. Werner Sandhas on the occasion of his 60th birthday

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Oryu, S., Samata, K., Suzuki, T. et al. Application of the Alt-Grassberger-Sandhas equations to the three-alpha model. Few-Body Systems 17, 185–197 (1994). https://doi.org/10.1007/BF01074451

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  • DOI: https://doi.org/10.1007/BF01074451

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