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Coulomb energy of nuclei

  • 90th Anniversary of A.B. Migdal's Birthday Nuclei
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Abstract

The density functional determining the Coulomb energy of nuclei is calculated to the first order in e 2. It is shown that the Coulomb energy includes three terms: the Hartree energy; the Fock energy; and the correlation Coulomb energy (CCE), which contributes considerably to the surface energy, the mass difference between mirror nuclei, and the single-particle spectrum. A CCE-based mechanism of a systematic shift of the single-particle spectrum is proposed. A dominant contribution to the CCE is shown to come from the surface region of nuclei. The CCE effect on the calculated proton drip line is examined, and the maximum charge Z of nuclei near this line is found to decrease by 2 or 3 units. The effect of Coulomb interaction on the effective proton mass is analyzed.

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References

  1. J. A. Nolen and J. P. Schiffer, Annu. Rev. Nucl. Sci. 19, 471 (1964).

    ADS  Google Scholar 

  2. S. Shlomo, Rep. Prog. Phys. 41, 957 (1978); S. Shlomo and M. G. Love, Phys. Scr. 26, 280 (1982).

    Article  ADS  Google Scholar 

  3. N. Auerbach, Phys. Rep. 98, 273 (1983).

    Article  ADS  Google Scholar 

  4. G. A. Miller, B. M. K. Nefkens, and I. Slaus, Phys. Rep. 194, 1 (1990).

    Article  ADS  Google Scholar 

  5. V. R. Shaginyan, Yad. Fiz. 39, 346 (1984) [Sov. J. Nucl. Phys. 39, 218 (1984)]; 40, 1144 (1984) [40, 728 (1984)].

    Google Scholar 

  6. A. Bulgak and V. R. Shaginyan, Pis'ma Zh. Éksp. Teor. Fiz. 62, 833 (1995) [JETP Lett. 62, 843 (1995)]; A. Bulgac and V. R. Shaginyan, Nucl. Phys. A 601, 103 (1996).

    Google Scholar 

  7. P. Ring and P. Schuck, Nuclear Many-Body Problem (Springer-Verlag, New York. 1980).

    Google Scholar 

  8. D. Vautherin and D. M. Brink, Phys. Rev. C 5, 626 (1972); M. Beiner, H. Flocard, Ngueyn van Giai, and P. Quentin, Nucl. Phys. A 238, 29 (1975).

    Article  ADS  Google Scholar 

  9. S. A. Fayans, Pis'ma Zh. Éksp. Teor. Fiz. 68, 161 (1998) [JETP Lett. 68, 169 (1998)].

    Google Scholar 

  10. P. Hohenberg and W. Kohn, Phys. Rev. B 136, 864 (1964); W. Kohn and L. J. Sham, Phys. Rev. A 140, 1133 (1965).

    MathSciNet  ADS  Google Scholar 

  11. A. B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Nauka, Moscow, 1965; Interscience, New York, 1967).

    Google Scholar 

  12. H. A. Bethe, Annu. Rev. Nucl. Sci. 23, 93 (1971).

    ADS  Google Scholar 

  13. L. D. Landau, Zh. Éksp. Teor. Fiz. 30, 1058 (1956) [Sov. Phys. JETP 3, 920 (1956)].

    Google Scholar 

  14. A. Bulgac and V. R. Shaginyan, Eur. Phys. J. A 5, 247 (1999); Phys. Lett. B 469, 1 (1999).

    Article  ADS  Google Scholar 

  15. A. Bohr and B. R. Mottelson, Nuclear Structure Vol. 2: Nuclear Deformations (Benjamin, New York, 1975; Mir, Moscow, 1977).

    Google Scholar 

  16. B. A. Brown, Phys. Rev. C 58, 220 (1998).

    Article  ADS  Google Scholar 

  17. A. Bohr and B. R. Mottelson, Nuclear Structure, Vol. 1: Single-Particle Motion (Benjamin, New York, 1969; Mir, Moscow, 1971), Fig. 2.30.

    Google Scholar 

  18. V. A. Khodel', V. R. Shaginyan, and M. V. Zverev, Pis'ma Zh. Éksp. Teor. Fiz. 65, 242 (1997) [JETP Lett. 65, 253 (1997)].

    Google Scholar 

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Translated from Yadernaya Fizika, Vol. 64, No. 3, 2001, pp. 525–530.

Original Russian Text Copyright © 2001 by Shaginyan.

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Shaginyan, V.R. Coulomb energy of nuclei. Phys. Atom. Nuclei 64, 471–476 (2001). https://doi.org/10.1134/1.1358471

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