Nuclear Physics and Atomic Energy

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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
  Periodicity: 4 times per year

  Open access peer reviewed journal


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Nucl. Phys. At. Energy 2022, volume 23, issue 1, pages 20-25.
Section: Nuclear Physics.
Received: 12.01.2022; Accepted: 29.06.2022; Published online: 25.07.2022.
PDF Full text (ua)
https://doi.org/10.15407/jnpae2022.01.020

Inclusive reactions of stripping and fragmentation involving light cluster nuclei at intermediate energies

V. I. Kovalchuk*

Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

*Corresponding author. E-mail address: sabkiev@gmail.com

Abstract: In the framework of eiconal approximation and the double folding model, a formalism for calculating inclusive spectra of particles from stripping and fragmentation reactions involving light cluster nuclei is proposed. The cross-section of the 12C(3He, d)13N reaction at an incident particle energy of 81.4 MeV and the proton spectra from the deuteron fragmentation reaction with 56 MeV energies by 12C and 27Al nuclei are described. The calculated values satisfactorily fit the corresponding experimental data.

Keywords: inclusive reaction, eiconal approximation, double folding model.

References:

1. N.K. Glendenning. Direct Nuclear Reactions (Singapore, World Scientific, 2004) 396 p. https://doi.org/10.1142/5612

2. S.T. Butler. On Angular Distributions from (d,p) and (d,n) Nuclear Reactions. Phys. Rev. 80 (1950) 1095. https://doi.org/10.1103/PhysRev.80.1095.2

3. S.T. Butler. Angular Distributions from (d,p) and (d,n) Nuclear Reactions. Proc. R. Soc. Lond. A 208 (1951) 559. https://doi.org/10.1098/rspa.1951.0182

4. S.T. Butler. Direct nuclear reactions. Phys. Rev. 106 (1957) 272. https://doi.org/10.1103/PhysRev.106.272

5. F.L. Friedman, W. Tobocman. An Approximate Wave-Mechanical Description of Deuteron Stripping. Phys. Rev. 92 (1953) 93. https://doi.org/10.1103/PhysRev.92.93

6. E. Gerjuoy. Theory of (d,p) and (d,n) Reactions. Phys. Rev. 91 (1953) 645. https://doi.org/10.1103/PhysRev.91.645

7. N.C. Francis, K.M. Watson. The Theory of the Deuteron Stripping Reactions. Phys. Rev. 93 (1954) 313. https://doi.org/10.1103/PhysRev.93.313

8. M. Tanifuji. Distorted-wave theory of deuteron stripping reactions. Nucl. Phys. 58 (1964) 81. https://doi.org/10.1016/0029-5582(64)90524-3

9. C.A. Pearson, J.M. Bang. Tanifuji-Butler Model for Deuteron Stripping Reactions. Nature 211 (1966) 577. https://doi.org/10.1038/211577a0

10. A.M. Mukhamedzhanov. Theory of deuteron stripping: From surface integrals to a generalized R matrix approach. Phys. Rev. C 84 (2011) 044616. https://doi.org/10.1103/PhysRevC.84.044616

11. M. Kamimura et al. Chapter I. Projectile Breakup Processes in Nuclear Reactions. Prog. Theor. Phys. Suppl. 89 (1986) 1. https://doi.org/10.1143/PTPS.89.1

12. N. Austern et al. Continuum-discretized coupled-channels calculations for three-body models of deuteron-nucleus reactions. Phys. Rep. 154 (1987) 125. https://doi.org/10.1016/0370-1573(87)90094-9

13. R.C. Johnson, P.J.R. Soper. Contribution of Deuteron Breakup Channels to Deuteron Stripping and Elastic Scattering. Phys. Rev. C 1 (1970) 976. https://doi.org/10.1103/PhysRevC.1.976

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

15. G.R. Satchler. Direct Nuclear Reactions (Oxford, Clarendon, 1983) 833 p. https://inis.iaea.org/search/searchsinglerecord.aspx?recordsFor=SingleRecord&RN=16019842

16. R. Serber. The Production of High Energy Neutrons by Stripping. Phys. Rev. 72 (1947) 1008. https://doi.org/10.1103/PhysRev.72.1008

17. A.I. Akhiezer, A.G. Sitenko. Contribution to the theory of stripping at high energies. Sov. Phys. J. Exp. Theor. Phys. 6 (1958) 799. http://jetp.ras.ru/cgi-bin/dn/e_006_04_0799.pdf

18. A.I. Akhiezer, A.G. Sitenko. Diffractional Scattering of Fast Deuterons by Nuclei. Phys. Rev. 106 (1957) 1236. https://doi.org/10.1103/PhysRev.106.1236

19. A.G. Sitenko. On the Theory of the Stripping Reaction. Sov. Phys. J. Exp. Theor. Phys. 4 (1957) 492. http://jetp.ras.ru/cgi-bin/dn/e_004_04_0492.pdf

20. A.G. Sitenko. Interaction of deuterons with nuclei. Sov. Phys. Usp. 2 (1959) 195. https://doi.org/10.1070/PU1959v002n02ABEH003121

21. A.G. Sitenko. On the polarization of nucleons in high energy stripping reactions. Nucl. Phys. 9 (1958/59) 412. https://doi.org/10.1016/0029-5582(58)90374-2

22. A.G. Sitenko. Theory of Nuclear Reactions (Singapore, World Scientific, 1990) 636 p. https://doi.org/10.1142/0533

23. K. Varga, Y. Suzuki. Precise solution of few-body problems with the stochastic variational method on a correlated Gaussian basis. Phys. Rev. C 52 (1995) 2885. https://doi.org/10.1103/PhysRevC.52.2885

24. V.I. Kukulin, V.M. Krasnopol'sky. A stochastic variational method for few-body systems. J. Phys. G 3 (1977) 795. https://doi.org/10.1088/0305-4616/3/6/011

25. B.E. Grinyuk, I.V. Simenog. Structural properties of the 10Be and 10C four-cluster nuclei. Phys. At. Nucl. 77 (2014) 415. https://doi.org/10.1134/S1063778814030090

26. H. De Vries, C.W. De Jager, C. De Vries. Nuclear charge-density-distribution parameters from elastic electron scattering. At. Data Nucl. Data Tables 36 (1987) 495. https://doi.org/10.1016/0092-640X(87)90013-1

27. I. Sick. Model-independent nuclear charge densities from elastic electron scattering. Nucl. Phys. A 218 (1974) 509. https://doi.org/10.1016/0375-9474(74)90039-6

28. O.D. Dalkarov, V.A. Karmanov. Scattering of low-energy antiprotons from nuclei. Nucl. Phys. A 445 (1985) 579. https://doi.org/10.1016/0375-9474(85)90561-5

29. V.I. Kovalchuk. Deuteron Stripping on Nuclei at Intermediate Energies. Nucl. Phys. A 937 (2015) 59. https://doi.org/10.1016/j.nuclphysa.2015.02.008

30. V.I. Kovalchuk. Polarized-deuteron stripping reaction at intermediate energies. Int. J. Mod. Phys. E 25 (2016) 1650095. https://doi.org/10.1142/S0218301316500956

31. V.I. Kovalchuk. Polarization of Nucleons in the Deuteron Stripping Reaction on Nuclei. Rus. Phys. J. 61 (2018) 1109. https://doi.org/10.1007/s11182-018-1503-6

32. V.I. Kovalchuk. Microscopic description of diffractive deuteron breakup by 3He nuclei. Phys. At. Nucl. 79 (2016) 335. https://doi.org/10.1134/S1063778816020101

33. A.M. Baldin, V.I. Goldanskij, I.L. Rozental. Kinematik der Kernreaktionen (Berlin, Akademie-Verlag, 1963) 260 p. Google books

34. G.W. Barry. Inclusive reactions involving nuclei. Nuovo Cim. A 19 (1974) 606. https://doi.org/10.1007/BF02813408

35. H. Utsunomiya. "Stripping" reaction in heavy ion projectile dissociation: Extended Serber model. Phys. Rev. C 32 (1985) 849. https://doi.org/10.1103/PhysRevC.32.849

36. K. Koyama. 12C(τ, d)13N Reaction at 81.4 MeV. J. Phys. Soc. Japan 41 (1976) 1445. https://doi.org/10.1143/JPSJ.41.1445

37. N. Matsuoka et al. Deuteron break-up in the fields of nuclei at 56 MeV. Nucl. Phys. A 345 (1980) 1. https://doi.org/10.1016/0375-9474(80)90409-1

38. H. Sakamoto et al. Polarization transfer in the deuteron break-up reaction at 56 MeV. Phys. Lett. B 155 (1985) 227. https://doi.org/10.1016/0370-2693(85)90643-4

39. S.K. Charagi, S.K. Gupta. Coulomb-modified Glauber model description of heavy-ion reaction cross section. Phys. Rev. C 41 (1990) 1610. https://doi.org/10.1103/PhysRevC.41.1610

40. P. Shukla. Glauber model for heavy ion collisions from low energies to high energies. arXiv: nucl-th/0112039. https://arxiv.org/abs/nucl-th/0112039