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Prog. Theor. Phys. Vol. 92 No. 6 (1994) pp. 1045-1080

[ Full Text PDF : FREE ACCESS (3221K) ]

Invited Papers

Effective Interaction Theory and Unitary-Model-Operator Approach to Nuclear Saturation Problem

Kenji Suzuki and Ryoji Okamoto

Department of Physics, Kyushu Institute of Technology, Kitakyushu 804

(Received October 19, 1994)

Abstract:

The structure of the effective interaction is reviewed on the similarity-transformation theory. The Hermitian effective interaction is constructed, and its formal relation with the usual non-Hermitian form is discussed. As an application of the Hermitian theory, the unitary-model-operator approach (UMOA) is formulated. The two-body effective interaction is introduced and shown to be used for a basic ingredient in describing nuclear properties. The relationship between the G-matrix theory and the present approach is discussed. The theory is applied to the calculation of the ground-state properties of 16O with various nucleon-nucleon potentials.


URL : http://ptp.ipap.jp/link?PTP/92/1045/
DOI : 10.1143/PTP.92.1045

[ Full Text PDF : FREE ACCESS (3221K) ] Citation:

References:

  1. K. A. Brueckner, Phys. Rev. 100 (1955), 36[APS].
  2. T. T. S. Kuo and E. Osnes, Lecture Notes in Physics, vol. 364, (Springer, Berlin, 1990).
  3. I. Lindgren and J. M. Morrison, Atomic Many-Body Theory (Springer, Berlin, 1985).
  4. B. H. Brandow, Rev. Mod. Phys. 39 (1967), 771[APS].
  5. B. R. Barrett and M. W. Kirson, Advances in Nuclear Physics, vol. 6, ed. M. Baranger and E. Vogt (Plenum, New York, 1973), p. 219.
  6. T. T. S. Kuo, Ann. Rev. Nucl. Sci. 24 (1974), 101.
  7. P. J. Ellis and E. Osnes, Rev. Mod. Phys. 49 (1977), 777[APS].
  8. K. Ando, H. Bando and S. Nagata, Prog. Theor. Phys. Suppl. No. 65 (1979), 1[PTP].
  9. T. T. S. Kuo, S. Y. Lee and K. F. Ratcliff, Nucl. Phys. A176 (1971), 65.
  10. I. Lindgren, J. of Phys. B7 (1974), 2441[IoP STACKS].
  11. I. Shavitt and L. T. Redmon, J. Chem. Phys. 73 (1980), 5711[CrossRef].
  12. P. Westhaus, Int. J. Quantum Chem. 20 (1981), 1243.
  13. K. Suzuki, Prog. Theor. Phys. 68 (1982), 246[PTP].
  14. T. T. S. Kuo, P. J. Ellis, J. Hao, Z. Li, K. Suzuki, R. Okamoto and H. Kumagai, Nucl. Phys. A560 (1993), 621.
  15. J. Shurpin, T. T. S. Kuo and D. Strottman, Nucl. Phys. A408 (1983), 310.
  16. M. F. Jiang, R. Machleidt, D. B. Stout and T. T. S. Kuo, Phys. Rev. C46 (1992), 910[APS].
  17. M. Hjorth-Jensen, E. Osnes and H. Müther, Ann. of Phys. 213 (1992), 102[CrossRef].
  18. M. Hjorth-Jensen, T. Engeland, A. Holt and E. Osnes, Phys. Rep. 242 (1994), 37[CrossRef].
  19. B. R. Barrett, D. C. Zheng, R. J. McCarthy and J. P. Vary, Phys. Lett. B316 (1993), 219.
  20. L. Jaqua, P. Halse, B. R. Barrett and J. P. Vary, Nucl. Phys. A571 (1994), 242.
  21. K. A. Brueckner and J. L. Gammel, Phys. Rev. 109 (1958), 1023[APS].
  22. H. A. Bethe, B. H. Brandow and A. G. Petschek, Phys. Rev. 129 (1963), 225[APS].
  23. T. T. S. Kuo and G. E. Brown, Nucl. Phys. 85 (1966), 40[CrossRef].
  24. J. Da Providencia and C. M. Shakin, Ann. of Phys. 30 (1964), 95[CrossRef].
  25. C. M. Shakin, Y. R. Waghmare and M. H. Hull, Jr., Phys. Rev. 161 (1967), 1006[APS].
  26. K. Suzuki, Prog. Theor. Phys. 68 (1982), 1627, [PTP]1999.
  27. K. Suzuki and R. Okamoto, Prog. Theor. Phys. 75 (1986), 1388[PTP]; 76 (1986), 127.
  28. K. Suzuki, R. Okamoto and H. Kumagai, Phys. Rev. C36 (1987), 804[APS].
  29. J. H. Van Vleck, Phys. Rev. 33 (1929), 467[APS].
  30. T. Kato, Prog. Theor. Phys. 4 (1949), 514[PTP].
  31. N. Fukuda, K. Sawada and M. Taketani, Prog. Theor. Phys. 12 (1954), 156[PTP].
  32. S. Okubo, Prog. Theor. Phys. 12 (1954), 603[PTP].
  33. P. O. Lödin, J. Math. Phys. 3 (1962), 969[CrossRef].
  34. H. Feshbach, Ann. of Phys. 19 (1962), 287[CrossRef].
  35. C. Bloch, Nucl. Phys. 6 (1958), 329[CrossRef].
  36. C. Bloch and J. Horowitz, Nucl. Phys. 8 (1958), 91[CrossRef].
  37. K. A. Brueckner, The Many-Body Problem (Les Houches, 1958), ed. C. DeWitt (Dunod Cie., Paris, 1959).
  38. I. Lindgren, Int. J. Quantum Chem. 12 (1978), 33.
  39. V. Kvasnicka, Czech. J. of Phys. B24 (1974), 605[IoP STACKS].
  40. V. Kvasnicka, V. Laurinc and S. Biskupic, Phys. Rep. 90 (1982), 159[CrossRef].
  41. A. Poves and A. Zucker, Phys. Rep. 71 (1981), 141[CrossRef].
  42. J. des Cloizeaux, Nucl. Phys. 20 (1960), 321[CrossRef].
  43. T. Morita, Prog. Theor. Phys. 29 (1963), 351[PTP].
  44. G. Oberlechner, F. Owono-N'-Guema and J. Richert, Nuovo Cim. B68 (1970), 23.
  45. D. J. Klein, J. Chem. Phys. 61 (1974), 786[CrossRef].
  46. B. H. Brandow, Lecture Notes in Physics, vol. 40 (Springer, Berlin, 1975), 1.
  47. K. Suzuki and R. Okamoto, Prog. Theor. Phys. 70 (1983), 439[PTP].
  48. K. Suzuki and R. Okamoto, Prog. Theor. Phys. 71 (1984), 1221[PTP].
  49. S. Y. Lee and K. Suzuki, Phys. Lett. B91 (1980), 173.
  50. K. Suzuki and S. Y. Lee, Prog. Theor. Phys. 64 (1980), 2091[PTP].
  51. K. Suzuki, R. Okamoto, P. J. Ellis, J. Hao, Z. Li and T. T. S. Kuo, Phys. Lett. B308 (1993), 1.
  52. R. Okamoto, K. Suzuki, P. J. Ellis, J. Hao, Z. Li and T. T. S. Kuo, Prog. Theor. Phys. 91 (1994), 403[PTP].
  53. K. Suzuki and R. Okamoto, Prog. Theor. Phys. 72 (1984), 534[PTP].
  54. K. Suzuki, R. Okamoto, P. J. Ellis and T. T. S. Kuo, Nucl. Phys. A567 (1994), 576.
  55. T. T. S. Kuo, F. Krmpotic, K. Suzuki and R. Okamoto, Nucl. Phys. A, in press.
  56. E. M. Krenciglowa and T. T. S. Kuo, Nucl. Phys. A235 (1974), 171.
  57. B. H. Brandow, Phys. Rev. 152 (1966), 863[APS].
  58. K. Suzuki, R. Okamoto and H. Kumagai, Nucl. Phys. A, in press.
  59. F. Coester, Nucl. Phys. 7 (1958), 421[CrossRef].
  60. H. Kümmel, K. H. Lührmann and J. G. Zabolitzky, Phys. Rep. 36 (1978), 1[CrossRef].
  61. O. Sinanoglu, J. Chem. Phys. 36 (1962), 706[CrossRef]; Adv. Chem. Phys. 6 (1964), 315.
  62. J. Cizek, J. Chem. Phys. 45 (1966), 4265[AIP Scitation].
  63. J. Arponen, Ann. of Phys. 151 (1983), 311[CrossRef].
  64. R. J. Bartlett, J. Phys. Chem. 93 (1989), 1697[CrossRef].
  65. E. M. Krenciglowa, C. L. Kung, T. T. S. Kuo and E. Osnes, Ann. of Phys. 101 (1976), 154[CrossRef].
  66. C. W. Wong, Nucl. Phys. A91 (1967), 399.
  67. P. U. Sauer, Nucl. Phys. A150 (1970), 467.
  68. R. V. Reid, Jr., Ann. of Phys. 50 (1968), 411[CrossRef].
  69. R. de Tourreil, B. Rouben and D. W. L. Sprung, Nucl. Phys. A242 (1975), 445.
  70. M. Lacombe, B. Loiseau, J. M. Richard, R. Vin Mau, J. Cote, P. Pires and R. de Tourreil, Phys. Rev. C21 (1980), 861[APS].
  71. R. Machleidt, K. Holinde and C. Elster, Phys. Rep. 149 (1987), 1[CrossRef].
  72. R. Machleidt, Adv. Nucl. Phys. 19 (1989), 189.
  73. H. Müther, R. Machleidt and R. Brockmann, Phys. Lett. B202 (1988), 483.
  74. L. Zamick, D. C. Zheng and H. Müther, Phys. Rev. C45 (1992), 2763[APS].
  75. K. W. Schmid, H. Müther, R. Machleidt, Nucl. Phys. A530 (1991), 14.
  76. W. Glökle and H. Kamada, Nucl. Phys. A560 (1993), 541.
  77. H. Kamada and W. Glökle, Few-Body Systems, Suppl. 7 (1994), 217.
  78. K. Suzuki, H. Kumagai and R. Okamoto, Prog. Theor. Phys. 90 (1993), 257[PTP].
  79. P. S. Hauge and S. Maripuu, Phys. Rev. C8 (1973), 1609[APS].
  80. J. P. Elliot, A. D. Jackson, H. A. Mavromatis, F. A. Sanderson and B. Singh, Nucl. Phys. A121 (1968), 241.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 97 No. 6 (1997) pp. 1023-1028 :
    Ground-State Properties of 40Ca in Unitary-Model-Operator Approach with Realistic Nucleon-Nucleon Potentials
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  2. Progress of Theoretical Physics Vol. 99 No. 1 (1998) pp. 151-156 :
    Unitary-Model-Operator Approach to Λ17O and Lambda-Nucleon Effective Interaction
    Shinichiro Fujii, Ryoji Okamoto and Kenji Suzuki
  3. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 123-141 :
    Three-Body Cluster Effects on Λ Single-Particle Energies in Λ17O and Λ41Ca
    Shinichiro Fujii, Ryoji Okamoto and Kenji Suzuki
  4. Progress of Theoretical Physics Vol. 115 No. 4 (2006) pp. 839-844 :
    Separability of a Low-Momentum Effective Nucleon-Nucleon Potential
    Hiroyuki Kamada, Shinichiro Fujii, Eizo Uzu, Masahiro Yamaguchi, Ryoji Okamoto and Yasuro Koike

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