Ядерна фізика 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   Periodicity: 4 times per year   Open access peer reviewed journal

Full text (en)

V. Yu. Denisov, N. A. Pilipenko

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

Abstract: The simple approach for the evaluation of the interaction potential between two deformed axial-symmetric nuclei is proposed. The potential energy of deformed arbitrary-oriented nuclei is discussed in detail. Properties of entrance-channel potential for fusion reactions ²²Ne + ²⁴⁸Cm and ²⁶Mg + ²⁴⁸Cm leading to super-heavy elements are considered.

1. Beckerman M. Sub-barrier fusion of two nuclei. Rep. Prog. Phys. 51 (1988) 1047; https://doi.org/10.1088/0034-4885/51/8/001

Dasgupta M., Hinde D. J., Rowley N., Stefanini A. M. Measuring barriers to fusion. Annual Rev. Nucl. Part. Sci. 48 (1998) 401; https://doi.org/10.1146/annurev.nucl.48.1.401

Balantekin A. B., Takigawa N. Quantum tunneling in nuclear fusion. Rev. Mod. Phys. 70 (1998) 77; https://doi.org/10.1103/RevModPhys.70.77

Canto L. F., Gomes P. R. S., Donangelo R., Hussein M. S. Fusion and breakup of weakly bound nuclei. Phys. Rep. 424 (2006) 1. https://doi.org/10.1016/j.physrep.2005.10.006

2. Satchler G. R. Direct Nuclear Reactions (Oxford: Clarendon Press, 1983) 833 p.

3. Bass R. Nuclear Reactions with Heavy Ions (Berlin: Springer-Verlag, 1980) 410 p.

4. Wong C. Y. Interaction Barrier in Charged-Particle Nuclear Reactions. Phys. Rev. Lett. 31 (1973) 766. https://doi.org/10.1103/PhysRevLett.31.766

5. Fernandez-Niello J. O., Dasso C. H., Landowne S. Comp. Phys. Commun. 54 (1989) 409. https://doi.org/10.1016/0010-4655(89)90100-8

6. Dasso C. H., Fernandez-Niello J., Landowne S. Low-energy reactions with heavy deformed nuclei. Phys. Rev. C 41 (1990) 1014. https://doi.org/10.1103/PhysRevC.41.1014

7. Rumin T., Hagino K., Takigawa N. Effects of β₆ deformation and low-lying vibrational on heavy-ion fusion reactions at sub-barrier energies. Phys. Rev. C 61 (2000) 014605. https://doi.org/10.1103/PhysRevC.61.014605

8. Denisov V. Yu., Ikezoe H. α-nucleus potential for α-decay and sub-barrier fusion. Phys. Rev. C 72 (2005) 064613. https://doi.org/10.1103/PhysRevC.72.064613

9. Hofmann H., Munzenberg G. The discovery of the heaviest elements. Rev. Mod. Phys. 72 (2000) 733; https://doi.org/10.1103/RevModPhys.72.733

Armbruster P. Ann. Rev. Nucl. Part. Sci. 50 (2000) 411. https://doi.org/10.1146/annurev.nucl.50.1.411

10. Turler A. Gas Phase Chemistry of Superheavy Elements. J. Nucl. Radiochem. Sci. 5 (2004) R19. https://doi.org/10.14494/jnrs2000.5.R19

11. Krappe H. J., Nix J. R., Sierk A. J. Phys. Rev. C 20 (1979) 992; https://doi.org/10.1103/PhysRevC.20.992

Möller P., Iwamoto A. Nucl. Phys. A 575 (1994) 381; https://doi.org/10.1016/0375-9474(94)90197-X

Ichikawa T., Iwamoto A., Möller P., Sierk A. J. Phys. Rev. C 71 (2005) 044608. https://doi.org/10.1103/PhysRevC.71.044608

12. Denisov V. Yu. Interaction potential between heavy ions. Phys. Lett. B 526 (2002) 315. https://doi.org/10.1016/S0370-2693(01)01513-1

13. Denisov V. Yu., Norenberg W. Eur. Phys. J. A 15 (2002) 375; https://doi.org/10.1140/epja/i2002-10039-3

Denisov V. Yu. Eur. Phys. J. A 25 (2005) 619. https://doi.org/10.1140/epjad/i2005-06-106-1

14. Denisov V. Yu. AIP Conf. Proc. 704 (2004) 92; https://doi.org/10.1063/1.1737100

Superheavy element production, nucleus-nucleus potential and μ-catalysis. arXiv:nucl-th/0310019;

Entrance-channel potentials in the synthesis of the heaviest nuclei. Muon catalysis of superheavy elements formation. Proc. "Symposium on Nuclear Clusters: from Light Exotic to Superheavy Nuclei", Rauischholzhausen Castle (near Marburg), Germany. Eds. R. Jolos, W. Scheid (EP Systema, Debrecen, Hungary, 2004) p. 433.

15. Newton J. O., Butt R. D., Dasgupta M. et al. Systematic failure of the Woods-Saxon nuclear potential to describe both fusion and elastic scattering: Possible need for a new dynamical approach to fusion. Phys. Rev. C 70 (2004) 024605. https://doi.org/10.1103/PhysRevC.70.024605

16. Blocki J., Randrup J., Swiatecki W. J., Tsang C. F. Proximity forces. Ann. Phys. 105 (1977) 427. https://doi.org/10.1016/0003-4916(77)90249-4

17. Baltz A. J., Bayman B. F. Proximity potential for heavy ion reactions on deformed nuclei. Phys. Rev. C 26 (1982) 1969; https://doi.org/10.1103/PhysRevC.26.1969

Bayman B. F. Form factors for a proximity interaction between deformed nuclei. Phys. Rev. C 34 (1986) 1346. https://doi.org/10.1103/PhysRevC.34.1346

18. Seiwert M., Greiner W., Oberacker V., Rhoades-Brown M. J. Test of the proximity theorem for deformed nuclei. Phys. Rev. C 29 (1984) 477. https://doi.org/10.1103/PhysRevC.29.477

19. Varshalovich D. A., Moskalev A. N., Khersonskii V. K. Quantum Theory of Angular Momentum (Moscow: Nauka, 1975) 443 p.

20. Moller P., Nix J. R., Myers W. D., Swiatecki W. J. Nuclear Ground-State Masses and Deformations. At. Data Nucl. Data Tables 59 (1995) 185. https://doi.org/10.1006/adnd.1995.1002

21. Mitsuoka S., Ikezoe H., Nishio K., Lu J. Phys. Rev. C 62 (2000) 054603. https://doi.org/10.1103/PhysRevC.62.054603

22. Raman S., Nestor C. W., Tikkanen P. At. Data Nucl. Data Tables 78 (2001) 1. https://doi.org/10.1006/adnd.2001.0858

23. Lazarev Yu. A., Lobanov Yu. A., Oganessian Yu. Ts. et al. Phys. Rev. Lett. 73 (1994) 624; https://doi.org/10.1103/PhysRevLett.73.624

Turler A., Dressler R., Eichler B. et al. Phys. Rev. C 57 (1998) 1648. https://doi.org/10.1103/PhysRevC.57.1648

24. Turler A., Dullmann Ch. E., Gaggeler H. W. et al. Eur. Phys. J. A 17 (2003) 505. https://doi.org/10.1140/epja/i2002-10163-0

25. Audi G., O. Bersillon O., Blachot J., Wapstra A. H. Nucl. Phys. A 729 (2003) 3. https://doi.org/10.1016/j.nuclphysa.2003.11.001