Nuclear Physics and Atomic Energy

Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English, Russian
  Periodicity: 4 times per year

  Open access peer reviewed journal

 Home page   About 
Nucl. Phys. At. Energy 2018, volume 19, issue 2, pages 103-110.
Section: Nuclear Physics.
Received: 23.04.2018; Accepted: 18.06.2018; Published online: 02.08.2018.
PDF Full text (en)

The Coulomb sum of 7Li

A. Yu. Buki, I. S. Timchenko*

National Science Center Kharkiv Institute of Physics and Technology, Kharkiv, Ukraine

*Corresponding author. E-mail address:

Abstract: The experimental values of longitudinal response function of the 7Li nucleus have been obtained and these results have been used as the basis to find the Coulomb sum values at momentum transfers ranging from 0.55 to 1.625 fm-1. The obtained experimental Coulomb sum values have been used to determine the total Coulomb energy of the 7Li nucleus. The result of the comparison of the Coulomb energy for the 7Li nucleus with the Coulomb energies for the 6Li and 4He nuclei a) is consistent with the paradox (revealed in the elastic electron scattering experiment) that the 7Li rms charge radius is smaller than the one of the 6Li nucleus; b) leads to the conclusion that, within the framework of the two-cluster model of the 7Li nucleus (α + t), the size of the α-cluster should be larger than the one of the 4He nucleus.

Keywords: 7Li, longitudinal response function, Coulomb sum, Coulomb energy, clusters.


1. Yu.V. Naumov, O.Ye. Kraft. Isospin in nuclear physics. Properties of Atomic Nuclei 14 (1972) 88. (Rus)

2. A.Yu. Buki et al. Experimental determination of nuclear Coulomb energy for 6Li. Yadernaya Fizika 25(2) (1977) 457. (Rus)

3. A.Yu. Buki, I.S. Timchenko. The Coulomb energy of 7Li. The XIV Conf. on High-Energy Physics, Nuclear Physics and Accelerators. Abstracts of Reports (Kharkiv, 22 - 25 March, 2016) p. 55. (Rus)

4. A.Yu. Buki et al. Determination of the Coulomb energy of 12 from the electron scattering experiment. Ukrainian Journal of Physics 30(4) (1985) 499. (Rus)

5. A.Yu. Buki, I.S. Timchenko, N.G. Shevchenko. The Coulomb energy of 4He. The V Conf. on High-Energy Physics, Nuclear Physics and Accelerators. Abstracts of Reports (Kharkiv, 26 February - 2 March, 2007) p. 75. (Rus)

6. A.Yu. Buki, N.G. Shevchenko, I.S. Timchenko. Coulomb sums for 7Li nucleus at 3-momentum transfers q = 1.250 ... 1.625 fm-1. Problems of At. Sci. and Technology 3 (2009) 38.

7. A.Yu. Buki, I.S. Timchenko, N.G. Shevchenko. Saturation of Coulomb sum rules in the 6Li case. Eur. Phys. J. A 48(2) (2012) 17.

8. V.D. Efros, I.S. Timchenko, A.Yu. Buki. Relation between (e,e′) sum rules in 6,7Li and 4He nuclei: Experiment and cluster model. Eur. Phys. J. A 52 (2016) 275.

9. L.R. Suelzle, M.R. Yearian, Hall Crannell. Elastic Electron Scattering from Li6 and Li7. Phys. Rev. 162(4) (1967) 992.

10. V.D. Efros. Sum rules in electron scattering by nuclei. JETP Lett. 17(8) (1973) 316;

Yadernaya Fizika 18(6) (1973) 1184. (Rus)

11. D.R. Yennie, F.L. Boos, D.C. Ravenhall. Analytic Distorted-Wave Approximation for High-Energy Electron Scattering Calculations. Phys. Rev. B 137(3) (1965) 882.

12. T. de Forest Jr., J.D. Walecka. Electron Scattering and Nuclear Structure. Adv. Phys. 15(57) (1966) 1.

13. F.A. Bumiller et al. Elastic Electron Scattering from 6Li and 7Li Low Momentum Transfer. Phys. Rev. C 5(2) (1972) 391.

14. J.C. Bernauer et al. High-Precision Determination of the Electric and Magnetic Form Factors of the Proton. Phys. Rev. Lett. 105 (2010) 242001.

15. N.G. Afanasyev et al. The magnetic spectrometer for particles of momentum up to 400 MeV/s. Pribory i Tekhnika Ehksperimenta 5 (1966) 44. (Rus)

16. A.Yu. Buki et al. Moments of the response function for the 2 nucleus at q = 1.05 fm-1. Phys. At. Nucl. 65(5) (2002) 753. (Rus)

17. I.S. Timchenko, A.Yu. Buki. Calculation of (e+,e-)-pair contribution to the spectra of electrons scattered by nuclei. East Eur. J. Phys. 2(2) (2015) 38.

18. L.W. Mo, Y.S. Tsai. Radiative Corrections to Elastic and Inelastic ep and np Scattering. Rev. Mod. Phys. 41(1) (1969) 205.

19. Y.S. Tsai. Radiative Corrections to Electron Scattering (California, 1971) 66 p. (SLAC-PUB-848).

20. I.S. Timchenko, A.Yu. Buki. Application of the equivalent radiator method for radiative corrections to the spectra of elastic electron scattering by nuclei. Yaderna Fizyka ta Energetyka (Nucl. Phys. At. Energy) 16(2) (2015) 209.

21. A. Zghiche et al. Longitudinal and transverse responses in quasi-elastic electron scattering from 208Pb and 4He. Nucl. Phys. A 572 (1994) 513.

22. P. Mergell, Ulf-G. Meiβner, D. Drechsel. Dispersion-theoretical analysis of the nucleon electromagnetic form factors. Nucl. Phys. A 596 (1966) 367.

23. N.I. Aizatsky et al. Investigation of atomic nuclei by electrons and photons of energies up to 300 MeV (Kharkiv, 2017) 393 p. (Rus)