Nuclear Physics and Atomic Energy

ядерна ф≥зика та енергетика
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 2015, volume 16, issue 4, pages 343-351.
Section: Nuclear Physics.
Received: 02.07.2015; Accepted: 10.12.2015; Published online: 12.02.2016.
PDF Full text (ua)

Energy distributions of protons in D(d,p) reaction

O. O. Beliyuskina, V. I. Grantsev, K. K. Kisurin, S. E. Omelchuk, Yu. S. Roznyuk, B. A. Rudenko, L. I. Slusarenko*, B. G. Struzhko

Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

*Corresponding author. E-mail address:

Abstract: Energy distributions of protons in continuum from D(d,p) reaction were obtained with 36.9 ћеV deuteron beam of the U240 cyclotron accelerator of Institute for Nuclear Research of NAS of Ukraine. Analysis of energy distributions of protons in three-body break-up reactions were carried out according to the microscopic diffraction theory, developed by V. K. Tartakovsky. It is important that proposed model takes into account the contribution of final state interactions of np couples in singlet and triplet spin states. It was shown that for angle Θp∼15° processes of contributions of diffraction break-up and processes of interaction in final state are equally probable. For greater angles the contribution of deuteron diffraction break-up process becomes more important. Satisfactory matching of experimental and theoretical distributions of diffraction break-up is achieved by taking into account the final state interactions in exit reaction channel.

Keywords: deuteron, d + d-reactions, energy spectra, microscopic diffraction model, break-up, final state interaction.


1. B.V. Rybakov, V.A. Sidorov, N.A. Vlasov. Break of deuterons on H, D, 3He and 4He. Nucl. Phys. 23 (1961) 491.

2. H.W. Lefevre, R.R. Borchers, C.H. Poppe. Neutrons from deuteron breakup on D, T and 4He. Phys. Rev. 128(3) (1962) 1328.

3. C. Pope, N. Buget, C.O. Blyth et al. A search for spin dependent effects in the three body final state from the 2H(d, n)pd reaction at 11.3 MeV incident deuteron energy. J. Phys. A: Gen. Phys. 5 (1972) L33.

4. W.T.H. van Oers, K.W. Brockman. Proton spectra from d + d breakup at 25.3 MeV. Nucl. Phys. 74 (1965) 73.

5. K. Fukunaga, T. Ohsawa, S. Kakigi et al. Energy spectra of deuterons and protons for the d + d reaction at 60 MeV. Nucl. Phys. A 390 (1982) 19.

6. O.O. Beliuskina, V.I. Grantsev, K.K. Kisurin et al. Energy and angular distributions of deuterons in the d + d → p + n + d reaction. Izvestiya RAN. Ser. Fiz. 77(7) (2013) 981; Bull. RAS: Physics 77(7) (2013) 893. (Rus)

7. O.O. Beliuskina, V.I. Grantsev, K.K. Kisurin et al. Distribution of deuterons in the three-body break-up reactions in d+d collisions. VANT 85(3) (2013) 162.

8. O.O. Beliuskina, S.V. Berdnychenko, V.I. Grantsev et al. Investigation of nuclear reactions in d + t system. Yaderna Fizyka ta Energetyka (Nucl. Phys. At. Energy) 3(21) (2007) 54. (Ukr)

9. O.O. Beliuskina, V.I. Grantsev, V.V. Davydovs'kyi et al. Elastic scattering of deuterons on tritons. Ukr. J. Phys. 54(7) (2009) 658. (Ukr)

10. V.K. Tartakovskij. On the scattering of ultrarelativistic deuterons by nuclei. Izv. Vuzov SSSR. Fizika (Tomsk) 9 (1980) 3. (Rus)

11. V.K. Tartakovskij, A.V. Fursaev, B.I. Sidorenko. Diffractive dissociation of tritons by incident protons. Yadernaya Fizika 68 (2005) 35. (Rus); Phys. At. Nucl. 68 (2005) 33.

12. V.K. Tartakovs'kyi, V.I. Koval'chuk. Disintegration of 23 and 26 MeV deuterons by $64Cu and 197Au nuclei. Journal of Physical Studies 10 (2006) 29. (Ukr)

13. O.O. Beliuskina, V.I. Grantsev, V.V. Davydovskyy et al. Quasi-Free Inclusive Processes in the Two-Particle Splitting of Tritons by Deuterons with an Energy 37 MeV. Izv. RAN. Ser. Fiz. 75(7) (2011) 988. (Rus); Bull RAS: Physics 75(7) (2011) 925.

14. O.O. Beliuskina, V.I. Grantsev, K.K. Kisurin et al. Breakup of deuterons on tritons. Yadernaya Fizika 75(12) (2012) 1532. (Rus); Physics of Atomic Nuclei 75(12) (2012) 1454.

15. O.O. Beliuskina, V.I. Grantsev, V.V. Davydovskyy et al. T(d, p)tn reactions at a deuteron energy of 37 MeV. Izv. RAN. Ser. fiz. 74(6) (2010) 798. (Rus); Bull. Russ. Acad. Sci. 74(6) (2010) 761.

16. O.I. Akhiyezer, O.G. Sytenko. Diffraction nuclear processes at high energies. Ukr. J. Phys. 3 (1958) 16. (Ukr)

17. R.E. Warner, S. B. Di Cenzo, G.G. Ball et al. Final-state interactions in the 2H(d,pp)nn reaction. Nucl. Phys. A 243 (1975) 189.

18. B.Th. Leeman, H.G. Pugh, N.S. Chant, C.C. Chang. D + D four-body breakup at 80 MeV. Phys. Rev. C 17 (1978) 410.

19. R.E. Warner. Reinterpretation of the 2H(d, pp)nn reaction at 80 MeV. Phys. Rev. C 24 (1981) 2759.

20. V.I. Konfederatenko, V.M. Pirnak, V.A. Pylypchenko et al. Investigation of the 4-particle reaction channel d + d at 46.7 MeV. Ukr. J. Phys. 42 (1997) 1175. (Ukr)

21. B. Struzhko. Final-state interaction and quasi-free scattering in the four-body d+d reaction at 46.7 MeV. Journal of Physical Studies 3(4) (1999) 431.

21. B. Struzhko. Four-body d + d reaction at 46.7 MeV. Acta Physica Polonica B 30(5) (1999) 1487.

22. V.M. Lebedev, V.G. Neudatchin, B.G. Struzhko. Reactions Involving the Flip of the Deuteron Spin and Isospin and Supermultiplet Potential Model for the Interaction of Extremely Light Clusters. Physics of Atomic Nuclei 65(3) (2002) 462.

23. K.M. Watson. The effect of final state interactions on reaction cross section. Phys. Rev. 88 (1952) 1163.

24. A.B. Migdal. The theory of nuclear reactions with the formation of slow particles. JETP 1 (1955) 2.

25. R. Machleidt. The meson theory of nuclear forces and nuclear structure. Advances in Nuclear Physics 19 (1989) 189.