Skip to main content
SpringerLink
Log in

Application of the \({2}\alpha{+}{n}\) Three-Body Cluster Model of the \({}^{{9}}\)Be Nucleus in the Reaction \({}^{{9}}\)Be(\({}^{{3}}\)He, \({}^{{3}}\)He)\({}^{{9}}\)Be

  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

Elastic-scattering processes in the \({}^{3}\textrm{He}+{}^{9}\)Be reaction are studied on the basis of the 2\(\alpha+n\) three-body cluster model of the \({}^{9}\)Be nucleus. The \({}^{9}\)Be three-body wave function obtained by the variational method in the Gaussian basis is used to derive an analytic representation of nuclear-matter density distribution. The interaction potential calculated for the \({}^{3}\textrm{He}+{}^{9}\)Be system by the double-folding method is employed to analyze experimental data on the differential cross section for the elastic-scattering process \({}^{9}\)Be (\({}^{3}\)He, \({}^{3}\)He)\({}^{9}\)Be at collision energies between 30 and 60 MeV.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

REFERENCES

  1. T. A. D. Brown, P. Papka, B. R. Fulton, D. L. Watson, S. P. Fox, D. Groombridge, M. Freer, N. M. Clarke, N. I. Ashwood, N. Curtis, V. Ziman, P. McEwan, S. Ahmed, W. N. Catford, D. Mahboub, C. N. Timis, et al., Phys. Rev. C 76, 054605 (2007).

    Article  ADS  Google Scholar 

  2. N. Keeley, A. Pakou, V. Soukeras, F. Cappuzzello, L. Acosta, C. Agodi, A. Boiano, S. Calabrese, D. Carbone, M. Cavallaro, N. Deshmukh, A. Foti, A. Hacisalihoglu, M. La Commara, I. Martel, M. Mazzocco, et al., Phys. Rev. C 99, 014615 (2019).

    Article  ADS  Google Scholar 

  3. U. Umbelino, K. C. C. Pires, R. Lichtenthäler, V. Scarduelli, G. A. Scotton, A. Lépine-Szily, V. Guimarães, J. Lubian, B. Paes, J. L. Ferreira, M. A. G. Alvarez, J. M. B. Shorto, S. Appannababu, M. Assuncão, R. P. Condori, and V. Morcelle, Phys. Rev. C 99, 064617 (2019).

    Article  ADS  Google Scholar 

  4. B. A. Urazbekov, A. S. Denikin, S. M. Lukyanov, N. Itaco, D. M. Janseitov, K. Mendibayev, V. Burjan, V. Kroha, J. Mrazek, W. H. Trzaska, M. N. Harakeh, D. Etasse, I. Stefan, D. Verney, T. Issatayev, Yu. E. Penionzhkevich, et al., J. Phys. G 46, 105110 (2019).

    Article  ADS  Google Scholar 

  5. B. A. Urazbekov, A. S. Denikin, S. K. Sakhiev, and N. T. Burtebaev, Bull. Russ. Acad. Sci.: Phys. 80, 247 (2016).

    Article  Google Scholar 

  6. B. A. Urazbekov, A. S. Denikin, S. K. Sakhiev, S. M. Luk’yanov, Bull. Russ. Acad. Sci.: Phys. 81, 690 (2017).

    Article  Google Scholar 

  7. N. Anantaraman, H. Toki, and G. Bertsch, Nucl. Phys. A 398, 269 (1983).

    Article  ADS  Google Scholar 

  8. V. N. Pomerantsev, V. I. Kukulin, V. T. Voronchev, and A. Faessler, Phys. At. Nucl. 68, 1453 (2005).

    Article  Google Scholar 

  9. D. Sundholm and J. Olsen, Chem. Phys. Lett. 177, 91 (1991).

    Article  ADS  Google Scholar 

  10. W. von Oertzen, Z. Phys. A 354, 37 (1996).

    Article  ADS  Google Scholar 

  11. W. von Oertzen, M. Freer, and Y. Kanada-En’yo, Phys. Rep. 432, 43 (2006).

    Article  ADS  Google Scholar 

  12. V. I. Kukulin, V. M. Krasnopol’sky, V. T. Voronchev, and P. B. Sazonov, Nucl. Phys. A 417, 128 (1984).

    Article  ADS  Google Scholar 

  13. V. T. Voronchev, V. I. Kukulin, V. N. Pomerantsev, K. D. Razikov, and G. Ryzhikh, Phys. At. Nucl. 57, 1890 (1994).

    Google Scholar 

  14. Y. Suzuki, M. Suzuki, and K. Varga, Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems, vol. 54 of Lecture Notes in Physics Monographs (Springer Science, New York, 1998).

  15. G. R. Satchler and W. G. Love, Phys. Rep. 55, 183 (1979).

    Article  ADS  Google Scholar 

  16. A. V. Karpov, A. S. Denikin, M. A. Naumenko, A. P. Alekseev, V. A. Rachkov, V. V. Samarin, V. V. Saiko, and V. I. Zagrebaev, Nucl. Instrum. Methods Phys. Res., Sect. A 859, 112 (2017).

    Google Scholar 

  17. M. Hirai, S. Kumano, K. Saito, and T. Watanabe, Phys. Rev. C 83, 035202 (2011).

    Article  ADS  Google Scholar 

  18. E. Liatard, J. F. Bruandet, F. Glasser, S. Kox, Tsan Ung Chan, G. J. Costa, C. Heitz, Y. El Masri, F. Hanappe, R. Bimbot, D. Guillemaud-Mueller, and A. C. Mueller, Europhys. Lett. 13, 401 (1990).

    Article  ADS  Google Scholar 

  19. I. J. Thompson, Comput. Phys. Rep. 7, 167 (1988).

    Article  ADS  Google Scholar 

  20. D. M. Janseitov, S. M. Lukyanov, K. Mendibayev, Yu. E. Penionzhkevich, N. K. Skobelev, Yu. G. Sobolev, K. A. Kuterbekov, D. S. Valiolda, T. K. Zholdybayev, W. H. Trzaska, S. V. Khlebnikov, G. P. Tyurin, B. A. Urazbekov, M. N. Harakeh, V. Burjan, V. Kroha, et al., Int. J. Mod. Phys. E 27, 1850089 (2018).

    Article  ADS  Google Scholar 

  21. M. Baktybayev, N. Burtebayev, A. Duysebayev, B. Duysebayev, G. Zhurynbayeva, S. Sakuta, and R. Peterson, in Proceedings of 1st Eurasia Conference on Nuclear Science and Its Applications, Izmir, 2000 (Turk. Atom Enerj. Kurumu, Izmir, 2000), p. 822.

  22. A. T. Rudchik, E. I. Koshchy, A. Budzanowski, R. Siudak, A. Szczurek, I. Skwirczynska, Yu. G. Mashkarov, L. Glowacka, J. Turkiewicz, I. I. Zalyubovsky, V. A. Ziman, N. T. Burtebayev, A. D. Duysebayev, and V. V. Adodin, et al., Nucl. Phys. A 609, 147 (1996).

    Article  ADS  Google Scholar 

Download references

ACKNOWLEDGMENTS

B. Urazbekov is grateful to V.I. Kukulin for placing at his disposal the code for calculating wave functions for three-body systems.

Author information

Authors and Affiliations

  1. Dubna State University, Dubna, Russia

    B. A. Urazbekov & A. S. Denikin

  2. Joint Institute for Nuclear Research, Dubna, Russia

    B. A. Urazbekov, A. S. Denikin & D. Janseitov

  3. Dipartimento di Matematica e Fisica, Università degli Studi della Campania ‘‘Luigi Vanvitelli’’, Caserta, Italy

    B. A. Urazbekov & N. Itaco

  4. Istituto Nazionale di Fisica Nucleare, Complesso Univeristario di Monte S. Angelo, Napoli, Italy

    B. A. Urazbekov & N. Itaco

  5. Institute of Nuclear Physics, National Nuclear Center of Republic of Kazakhstan, Almaty, Republic of Kazakhstan

    D. Janseitov

Authors
  1. B. A. Urazbekov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. S. Denikin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. Itaco
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. D. Janseitov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. A. Urazbekov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Urazbekov, B.A., Denikin, A.S., Itaco, N. et al. Application of the \({2}\alpha{+}{n}\) Three-Body Cluster Model of the \({}^{{9}}\)Be Nucleus in the Reaction \({}^{{9}}\)Be(\({}^{{3}}\)He, \({}^{{3}}\)He)\({}^{{9}}\)Be. Phys. Atom. Nuclei 84, 250–255 (2021). https://doi.org/10.1134/S1063778821030145

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778821030145

Search

Navigation