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Prog. Theor. Phys. Vol. 65 No. 3 (1981) pp. 919-937

[ Full Text PDF : FREE ACCESS (822K) ]

Four Particle-Two Hole Correlations and the Effective Interaction

— Two-Level Model for Mass-42 Nuclei —

Hiroharu Bandō, Toshio Motoba* and Kenji Suzuki**

Division of Mathematical Physics, Fukui University, Fukui 910
*Laboratoy of Physics, Osaka Electro-Communication University, Neyagawa, Osaka 572
**Department of Physics, Kyushu Institute of Technology, Kitakyushu 804

(Received September 20, 1980)

Abstract:

The multiple scattering formalism combined with the Q-box theory is employed to study all-order 4 particle-2 hole intermediate state contributions to the effective interaction between valence nucleons. A two-level model with a 0f7/2 particle orbit and a 0d3/2 hole orbit is used to simulate mass-42 nuclei. The p-h interaction is found to have a drastic effect on changing the structure of the effective interaction renormalization. The net contribution in the JT=0+1 two particle state is most attractive, being twice as large as that in the JT=1+0 state, which is opposite to the feature of the second-order 4p2h diagram contribution. This qualitative aspect of the all-order 4p2h diagram contribution is promising to improve the up-to-date result of microscopic effective interaction calculations.


URL : http://ptp.ipap.jp/link?PTP/65/919/
DOI : 10.1143/PTP.65.919

[ Full Text PDF : FREE ACCESS (822K) ] Citation:

References:

  1. As review-type articles:
    B. R. Barrett and M. W. Kirson, Adv. in Nucl. Phys. Vol. 6, ed. M. Baranger and E. Vogt (Plenum Press. New York, 1973), p. 219.
    Proceedings of the Tucson International Conference, Tucson, 1975, Lecture Notes in Physics, Vol. 40, ed. B. R. Barrett (Springer-Verlag, N. Y., 1975).
    P. J. Ellis and E. Osnes, Rev. Mod. Phys. 49 (1977), 777[APS].
  2. T. T. S. Kuo and G. E. Brown, Nucl. Phys. 85 (1966), 40[CrossRef]; Nucl. Phys. A 114 (1968), 241[CrossRef].
    J. Rajewski and M. W. Kirson, Nucl. Phys. A 181 (1972), 409[CrossRef].
  3. T. H. Schucan and H. A. Weidenmüller, Ann. of Phys. 73 (1972), 108[CrossRef].
    H. M. Hofmann, S. Y. Lee, J. Richert and H. A. Weidenmüller, Ann. of Phys. 85 (1974), 410[CrossRef].
    S. Pittel, Nucl. Phys. A 271 (1976), 62[CrossRef].
    M. A. Anastasio, J. W. Hockert and T. T. S. Kuo, Phys. Lett. B 53 (1974), 221[CrossRef].
  4. E. M. Krenciglowa and T. T. S. Kuo, Nucl. Phys. A 235 (1974), 171[CrossRef].
  5. K. Suzuki and S. Y. Lee, Phys. Lett. B 91 (1980), 173[CrossRef].
  6. P. J. Ellis and T. Engeland, Nucl. Phys. A 144 (1970), 161[CrossRef]; ibid. 181 (1972), 368[CrossRef].
    A. Watt, B. J. Cole and R. R. Whitehead, Phys. Lett. B 51 (1974), 435[CrossRef].
  7. T. Motoba and K. Itonaga, Prog, Theor. Phys. Suppl. No. 65 (1979), 136.
  8. T. Sakuda, S. Nagata and F. Nemoto, Prog. Theor. Phys. 56 (1976), 1126[PTP]; Prog. Theor. Phys. Suppl. No. 65 (1979), 111[PTP].
    T. Sakuda, Prog. Theor. Phys. 57 (1977), 855[PTP].
  9. K. Andō and H. Bandō, Prog. Theor. Phys. 53 (1975), 1711[PTP].
    K. Andō, H. Bandō and E. M. Krenciglowa, Nucl. Phys. A 309 (1978), 59[CrossRef].
  10. K. Andō, H. Bandō and E. M. Krenciglowa, Prog. Theor. Phys. Suppl. No. 65 (1979), 38[PTP].
  11. S. K. Adhikari and H. Bandō, Phys. Rev. C 22 (1980), 787[APS].
  12. B. H. Brandow, Rev. Mod. Phys. 39 (1967), 171[APS].
  13. G. Oberlechner, F. Owono-N'Guema and J. Richert, Nuovo Cim. B 68 (1970), 23.
  14. T. T. S. Kuo, S. Y. Lee and K. F. Ratcliff, Nucl. Phys. A 176 (1971), 65[CrossRef].
    K. F. Ratcliff, S. Y. Lee and T. T. S. Kuo, unpublished, circa 1972.
  15. K. A. Brueckner and D. T. Goldman, Phys. Rev. 117 (1960), 207[APS].
  16. P. J. Ellis, Phys. Lett. B 56 (1975), 232[CrossRef].
  17. H. Bandō, E. M. Krenciglowa and K. Andō, Nucl. Phys. A 329 (1979), 109[CrossRef].
  18. E. M. Krenciglowa and H. Bandō, Nucl. Phys. A 294 (1978), 191[CrossRef].
  19. J. Shurpin, H. Müther, T. T. S. Kuo and A. Faessler, Nucl. Phys. A 293 (1977), 61[CrossRef].
  20. T. T. S. Kuo and E. M. Krenciglowa, Nucl. Phys. A 342 (1980), 454[CrossRef].
  21. Table of Isotopes, edited by C. M. Lederer and V. S. Shirley (Wiley-Interscience Pub., 1978).
  22. J. C. McCullen, B. F. Bayman and L. Zamick, Phys. Rev. 134 (1964), B515[APS].
    W. Kutschera, B. A. Brown and K. Ogawa, Rev. Nuovo Cim. 1, No. 12 (1978).
  23. P. Federman and S. Pittel, Nucl. Phys. A 155 (1970), 161[CrossRef].
  24. See, for examples, Refs. 2), 7), 10) and 19).
  25. F. C. Erné, Nucl. Phys. 84 (1966), 91[CrossRef].
  26. T. Motoba and K. Ogawa, Prog. Theor. Phys. 51 (1974), 173[PTP].
  27. K. Suzuki and S. Y. Lee, Prog. Theor. Phys. 64 (1980), 2091[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 439-451 :
    Degenerate Perturbation Theory in Quantum Mechanics
    Kenji Suzuki and Ryoji Okamoto
  2. Progress of Theoretical Physics Vol. 75 No. 6 (1986) pp. 1388-1404 :
    Unitary-Model-Operator Approach to Nuclear Many-Body Problem. I
    Kenji Suzuki and Ryoji Okamoto

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