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Alternative method for evaluating the pair energy of nucleons in nuclei

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Abstract

An alternative method for determining the odd–even effect parameter related to special features of the Casimir operator in Wigner’s mass formula for nuclei is proposed. A procedure for calculating this parameter is presented. The proposed method relies on a geometric interpretation of the Casimir operator, experimental data concerning the contribution of spin–orbit interaction to the nuclear mass for even–even and odd–odd nuclei, and systematics of energy gaps in the spectra of excited states of even–even nuclei.

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References

  1. A. Bohr and B. Mottelson, Nuclear Structure, Vol. 1: Single-Particle Motion (Benjamin, New York, 1969).

  2. A. M. Nurmukhamedov, Phys. At. Nucl. 72, 401 (2009).

    Article  Google Scholar 

  3. L. Valentin, Physique Subatomique Noyaux et Particules (Hermann, Paris, 1983), Vols. 1, 2.

  4. V. G. Soloviev, Theory of Complex Nuclei (Nauka, Moscow, 1971; Pergamon, Oxford, 1976).

    Google Scholar 

  5. D. G. Madland and J. R. Nix, Nucl. Phys. A 476, 1 (1988).

    Article  ADS  Google Scholar 

  6. G. D. Alkhazov, K. A. Mezilev, Yu. N. Novikov, et al., Z. Phys. A 311, 245 (1983).

    Article  ADS  Google Scholar 

  7. Yu. A. Litvinov et al., Phys. Rev. Lett. 95, 042501 (2005).

    Article  ADS  Google Scholar 

  8. G. Audi, A. H.Wapstra, and C. Thibault, Nucl. Phys. A 729, 337 (2003).

    Article  ADS  Google Scholar 

  9. V. A. Kravtsov, Atomic Masses and Binding Energies of Nuclei (Atomizdat, Moscow, 1965).

    Google Scholar 

  10. Yu. V. Gaponov, N. B. Shulgina, and D. M. Vladimirov, Nucl. Phys. A 391, 93 (1982).

    Article  ADS  Google Scholar 

  11. Table of Isotopes, Ed. by C. M. Lederer and V. S. Shirley (Wiley, New York, 1978).

  12. A. M. Nurmukhamedov, Phys. At. Nucl. 72, 1435 (2009).

    Article  Google Scholar 

  13. J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (Wiley, New York, 1952).

    MATH  Google Scholar 

  14. W. D. Myers and W. J. Swiatecki, Nucl. Phys. 81, 1 (1966).

    Article  Google Scholar 

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Correspondence to A. M. Nurmukhamedov.

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Original Russian Text © A.M. Nurmukhamedov, 2015, published in Yadernaya Fizika, 2015, Vol. 78, No. 12, pp. 1083–1088.

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Nurmukhamedov, A.M. Alternative method for evaluating the pair energy of nucleons in nuclei. Phys. Atom. Nuclei 78, 1020–1025 (2015). https://doi.org/10.1134/S1063778815080104

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  • DOI: https://doi.org/10.1134/S1063778815080104

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