Nuclear Physics and Atomic Energy

ßäåðíà ô³çèêà òà åíåðãåòèêà
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 2020, volume 21, issue 2, pages 137-146.
Section: Nuclear Physics.
Received: 11.11.2019; Accepted: 19.03.2020; Published online: 3.09.2020.
PDF Full text (ua)
https://doi.org/10.15407/jnpae2020.02.137

Energy dependence of the elastic 1 ÷ 28 ÌeV deuteron scattering on beryllium isotopes

V. V. Uleshchenko1,*, K. Kemper2,3, E. I. Koshchi4, S. M. Lukyanov5, O. A. Ponkratenko1, A. A. Rudchik1, A. T. Rudchik1, Yu. M. Stepanenko1, Yu. O. Shyrma1

1 Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine
2 Heavy Ion Laboratory, University of Warsaw, Warsaw, Poland
3 Florida State University, Tallahassee, USA
4 Cyclotron Institute, Texas A&M University, College Station, USA
5 Flerov Laboratory of Nuclear Reaction, JINR, Dubna, Russia


*Corresponding author. E-mail address: vuleshch@kinr.kiev.ua

Abstract: A systematic analysis of the elastic scattering of deuterons by beryllium isotopes 7,9,10,11Be in the energy range Ed = 1 ÷ 28 MeV is performed. The energy-dependent potential for the d + 9Be system is built, which provides a good enough description of the experimental data, considering also changes of the diffractive scattering picture with energy increasing. A regular energy-dependent behavior and a regular target-dependent behavior of the differential cross sections of the deuteron scattering is demonstrated. Deviations from such a regular behavior is only observed in the experimental data for the d + 11Be elastic scattering at Ed = 5.6 MeV.

Keywords: elastic scattering, optical model, energy dependence.

References:

1. M. Cavallaro et al. Investigation of the 10Li shell inversion by neutron continuum transfer reaction. Phys. Rev. Lett. 118 (2017) 012701. https://doi.org/10.1103/PhysRevLett.118.012701

2. J.M. Lohr, W. Haeberli. Elastic scattering of 9 - 13 MeV vector polarized deuterons. Nucl. Phys. A 232 (1974) 381. https://doi.org/10.1016/0375-9474(74)90627-7

3. W.W. Daehnick, J.D. Childs, Z. Vrcelj. Global optical model potential for elastic deuteron scattering from 12 to 90 MeV. Phys. Rev. C 21 (1980) 2253. https://doi.org/10.1103/PhysRevC.21.2253

4. Haixia An, Chonghai Cai. Global deuteron optical model potential for the energy range up to 183 MeV. Phys. Rev. C 73 (2006) 054605. https://doi.org/10.1103/PhysRevC.73.054605

5. Yinlu Han, Yuyang Shi, Qingbiao Shen. Deuteron global optical model potential for energies up to 200 MeV. Phys. Rev. C 74 (2006) 044615. https://doi.org/10.1103/PhysRevC.74.044615

6. Y. Zhang, D.Y. Pang, J.L. Lou. Optical model potential for deuteron elastic scattering with 1p-shell nuclei. Phys. Rev C 94 (2016) 014619. https://doi.org/10.1103/PhysRevC.94.014619

7. J.G. Johansen et al. Study of bound states in 10Be by one-neutron removal reactions of 11Be. J. Phys. G: Nucl. Part. Phys. 44 (2017) 044009. https://doi.org/10.1088/1361-6471/aa5f28

8. A.T. Rudchik et al. Comparison of the 7Li(18O, 17N) 8Be and 18O(d, 3He) 17N reactions. Phys. Rev. C 83 (2011) 024606. https://doi.org/10.1103/PhysRevC.83.024606

9. O.A. Ponkratenko et al. Comparative analysis of the light nuclei diffractive scattering on 12C. Acta Physica Polonica B 49 (2018) 313. https://doi.org/10.5506/APhysPolB.49.313

10. F. Machali et al. Elastic scattering of deuterons by 9Be and 28Si. Atomkernenergie 13 (1968) 29.

11. A.S. Deineko et al. Elastic Scattering of Vector-Polarized Deuterons on 9Be for E(d) = 2.0 - 2.8 MeV. Bull. Acad. Sci. USSR, Phys. Ser. 47 (1983) 179; Izv. Akad. Nauk SSSR, Ser.Fiz. 47 (1983) 2271.

12. L.N. Generalov et al. Cross sections for 9Be(dp01) and 9Be(dt0) reactions. Bull. Rus. Acad. Sci. Phys. 64 (2001) 352; Izv. Rus. Akad. Nauk, Ser. Fiz. 64 (2000) 440.

13. D.L. Powell et al. Deuteron-induced reactions in 6Li, 9Be and 10B at bombarding energies of 4.5 to 6.0 MeV. Nucl. Phys. A 147 (1970) 65. https://doi.org/10.1016/0375-9474(70)90510-5

14. A. Djaloeis et al. Tensor polarization and differential cross section for the 9Be(d, d) 9Be elastic scattering at low energies. Nucl. Phys. A 163 (1971) 131. https://doi.org/10.1016/0375-9474(71)90525-2

15. A. Szczurek et al. Mechanism of reactions induced by 7 MeV deuterons on 9Be[(d, p), (d, d), (d, t), (d, 4He)]. Z. Phys. A 333 (1989) 271. https://doi.org/10.1007/BF01294515

16. W. Fitz et al. Scattering and pick-up reactions with deuterons on Be, B, C, N and O at 11.8 MeV. Nucl. Phys. A 101 (1967) 449. https://doi.org/10.1016/0375-9474(67)90198-4

17. A. Strzalkowski. Problems of the statistic scattering of deuterons on atomic nuclei. Angular distributions for elastic scattering of deuterons. Nukleonika 8 (1963) 301.

18. V.A. Matusevich et al. Backward Scattering of Deuterons by Light Nuclei. Yad. Fiz. 15 (1972) 670, Sov. J. Nucl. Phys. 15 (1972) 375.

19. A.N. Vereshchagin et al. Investigation of elastic scattering of 13.6 MeV deuterons on light nuclei. Bull. Acad. Sci. USSR, Phys. Ser. 32 (1968) 623; Izv. Akad. Nauk SSSR, Ser. Fiz. 32 (1968) 573.

20. D.-C. Nguyen. Elastic and Inelastic Scattering of Deuterons from 9Be, 12C, 14N and 16O. J. Phys. Soc. Japan 21 (1966) 2462. https://doi.org/10.1143/JPSJ.21.2462

21. S.E. Darden et al. The 9Be(d,d)9Be, 9Be(d,p)10Be, 9Be(d,t)8Be and 9Be(p,d)8Be reactions at 15 MeV. Nucl. Phys. A 266 (1976) 29. https://doi.org/10.1016/0375-9474(76)90280-3

22. A.A. Cowley et al. Elastic and inelastic scattering of 15.8 MeV deuterons. Nucl. Phys. 86 (1966) 363. https://doi.org/10.1016/0029-5582(66)90544-X

23. R.G. Summers-Gill. Scattering of 12-MeV protons, 24-MeV deuterons, and 48-MeV alpha particles by beryllium. Phys. Rev. 109 (1958) 1591. https://doi.org/10.1103/PhysRev.109.1591

24. R.G. Slobodrian. Scattering of 27.7 MeV deuterons on beryllium and boron. Nucl. Phys. 32 (1962) 684. https://doi.org/10.1016/0029-5582(62)90370-X

25. K.T. Schmitt et al. Reactions of a 10Be beam on proton and deuteron targets. Phys. Rev. C 88 (2013) 064612. https://doi.org/10.1103/PhysRevC.88.064612

26. J. Johansen et al. Transfer reactions using a low-energy 11Be beam. AIP Conf. Proc. 1377 (2011) 368. https://doi.org/10.1063/1.3628415

27. J. Chen et al. Low-lying states in 12Be using one-neutron transfer reaction. Phys. Rev. C 98 (2018) 014616. https://doi.org/10.1103/PhysRevC.98.014616

28. J.J. Das et al. Astrophysical S17(0) factor from a measurement of the 2H(7Be, 8B)n reaction at Ec.m = 4.5 MeV. Phys. Rev. C 73 (2006) 015808. https://doi.org/10.1103/PhysRevC.73.015808

29. C.F. Powell et al. Study of the d(7Be, 8B)n reaction. AIP Conf. Proc. 455 (1998) 908. https://doi.org/10.1063/1.57377

30. L. Grassi et al. Elastic scattering studies of 16C at 50 MeV/A on proton and deuteron targets with CHIMERA multidetector at INFN-LNS. J. Phys. Conf. Ser. 381 (2012) 012088. https://doi.org/10.1088/1742-6596/381/1/012088

31. I. J. Thompson. Coupled reaction channels calculations in nuclear physics. Comput. Phys. Rep. 7 (1988) 167. https://doi.org/10.1016/0167-7977(88)90005-6

32. O.A. Ponkratenko et al. Analysis of the dependence parametrization of the allocations of heavy ions on light nuclei elastic scattering diffraction maxima from the projectile energy. Yaderna Fizyka ta Energetyka (Nucl. Phys. At. Energy) 16(3) (2015) 223. (Ukr) https://doi.org/10.15407/jnpae2015.03.223

33. J. Cook. Global optical model potentials for the elastic scattering of 6,7Li projectiles. Nucl. Phys. A 388 (1982) 153. https://doi.org/10.1016/0375-9474(82)90513-9

34. O.A. Ponkratenko et al. Energy dependent optical potential for diffractive 12C + 16O-scattering in the energy range from 1 up to 100 MeV/nucleon. NNC RK Bulletin 1(65) (2016) 93. https://www.nnc.kz/media/bulletin/files/xe4uXmotsg.pdf