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Prog. Theor. Phys. Vol. 38 No. 2 (1967) pp. 353-365

[ Full Text PDF : FREE ACCESS (794K) ]

Nuclear Matter Calculations with Soft-Core Potentials in Momentum Space. II

Minoru Harada

Institute of Liberal Arts, Otaru University of Commerce, Otaru

(Received April 13, 1967)

Abstract:

The binding energy of nuclear matter has been determined with a most up-to-date nucleon-nucleon potential by solving the reaction matrix equation of the Brueckner theory self-consistently in momentum space. The potential has Gaussian soft cores, joins the OPEP at large distances and reproduces two-nucleon scattering data quite satisfactorily. Off-energy-shell propagation has been treated accurately and has been found to reduce the binding energy no more than 0.7 MeV per particle it contrast with the result of Coon and Dabrowski and with Bethe et al.'s arguments.
It is found that the calculated binding energy ranges from 10.3 MeV at the equilibrium spacing of 1.15 fm to 13.1 MeV at 1.02 fm as the central-tensor force ratio is varied. This shows that the Brueckner theory, with its first-order calculation, is able to reproduce more than 80% of the semiempirical value for the binding energy of nuclear matter with realistic nucleon-nucleon potentials.


URL : http://ptp.ipap.jp/link?PTP/38/353/
DOI : 10.1143/PTP.38.353

[ Full Text PDF : FREE ACCESS (794K) ] Citation:


References:

  1. K. A. Brueckner and J. L. Gammel, Phys. Rev. 109 (1958), 1023[APS].
  2. K. A. Brueckner and K. S. Masterson, Jr., Phys. Rev. 128 (1963), 2267[APS].
  3. M. Razavy, Phys. Rev. 130 (1963), 1091[APS].
  4. Y. Akaishi, K. Takada and S. Takagi, Prog. Theor. Phys. 35 (1966), 978[PTP]; ibid. 36 (1966), 1135[PTP].
  5. M. Harada, R. Tamagaki and H. Tanaka, Prog. Theor. Phys. 36 (1966), 1003[PTP].
    A preliminary report of this paper has appeared in Prog. Theor. Phys. 35 (1966), 177[PTP].
  6. S. A. Coon and J. Dabrowski, Phys. Rev. 140 (1965), B287[APS].
  7. R. Tamagaki, to be published.
  8. H. A. Bethe, B. H. Brandow and A. G. Petschek, Phys. Rev. 129 (1963), 225[APS].
  9. R. Tamagaki, M. Wada and W. Watari, Prog. Theor. Phys. 31 (1964), 623[PTP]; ibid. 33 (1965), 55[PTP].
  10. R. A. Arndt and M. H. MacGregor, Phys. Rev. 141 (1966), 873[APS].
  11. T. Hamada and I. D. Johnston, Nucl. Phys. 34 (1962), 382[CrossRef].
  12. K. E. Lassila, M. H. Hull, Jr., H. M. Ruppel, F. A. McDonald and G. Breit, Phys. Rev. 126 (1962), 881[APS].
  13. C. W. Wong, Nucl. Phys. 56 (1964), 213[CrossRef]; ibid. 71 (1965), 385[CrossRef].
  14. T. Kasahara and R. Tamagaki, Soryushiron Kenkyu (mimeographed circular in Japanese) 34 (1966), 129; Prog. Theor. Phys. 37 (1967), 1338[PTP].
  15. D. W. L. Sprung, P. C. Bhargava and T. K. Dahlblom, Phys. Lett. 21 (1966), 538[CrossRef].
  16. P. C. Bhargava and D. W. L. Sprung, private communication to Prof. H. Tanaka.
  17. H. A. Bethe, Phys. Rev. 138 (1965), B804[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 1 (1968) pp. 91-107 :
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  2. Progress of Theoretical Physics Vol. 39 No. 3 (1968) pp. 662-675 :
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  3. Progress of Theoretical Physics Vol. 40 No. 2 (1968) pp. 288-300 :
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  4. Progress of Theoretical Physics Vol. 48 No. 1 (1972) pp. 133-159 :
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  5. Progress of Theoretical Physics Vol. 52 No. 4 (1974) pp. 1264-1273 :
    Properties of Nuclear Matter for the Proposed NN One-Boson-Exchange Potential with Full Nonstatic Effects
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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. 57 No. 6 (1977) pp. 1984-2000 :
    Nonstatic One-Boson-Exchange Potential with Retardation and Nuclear Matter
    Toshio Obinata and Masanobu Wada
  8. Progress of Theoretical Physics Supplement No.52 (1972) pp. 339-375 :
    Chapter VII. Nuclear Forces in Nuclei and Alpha-Clusterization
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  9. Progress of Theoretical Physics Supplement No.65 (1979) pp. 10-37 :
    Chapter II. Nuclear Reaction Matrix and Nuclear Forces
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