ßäåðíà ô³çèêà òà åíåðãåòèêà
ISSN:
1818-331X (Print), 2074-0565 (Online) |
Home page | About |
Description of nucleon transfers processes by a coupled channel method with two-center states
V. V. Samarin1
1Joint Institute for Nuclear Research, Dubna, Moscow region, Russia
Abstract: The problem of quantum description of near-barrier fusion of heavy nuclei taking place under strong coupling of relative motion with external nucleons transfers is studied. The method of perturbed stationary states, founded on decomposing of a full wave function of a system of two nuclei and nucleon by a system of two-center nucleon wave functions, is applied for the description of nucleons transfers at low-energy nuclear reactions. The two-center nucleon energy levels - additions to nucleus-nucleus potential in a channels, and wave functions are calculated by a numerical solution of a Schrödinger equation for an arbitrary axial-symmetrical field with spin-orbit interactions, based on decomposing on Bessel functions and difference scheme along internuclear axis.
Keywords: nuclear fusion reactions, nucleons transfers, two-center nucleons states, coupled channel method.
References:1. Zagrebaev V. I. Synthesis of superheavy nuclei: Nucleon collectivization as a mechanism for compound nucleus formation. Phys Rev. C 64 (2001) 034606. https://doi.org/10.1103/PhysRevC.64.034606
2. Zagrebaev V. I. Sub-barrier fusion enhancement due to neutron transfer. Phys Rev. C 67 (2003) 061601. https://doi.org/10.1103/PhysRevC.67.061601
3. Samarin V. V., Zagrebaev V. I., Greiner W. Sub-barrier fusion of neutron-rich nuclei and its astrophysical consequences. Phys Rev. C 75 (2007) 035809. https://doi.org/10.1103/PhysRevC.75.035809
4. Borges A. M. et al. Pair transfer and subbarrier fusion of 18O + 58Ni. Phys. Rev. C 46 (1992) 2360. https://doi.org/10.1103/physrevc.46.2360
5. Samarin V., Samarin K. Mechanisms of Transfer Reactions in Low-Energy Collisions with Neutron-Enriched Nuclei. Bull. Russ. Acad. Sci. Phys. 75 (2011) 964. https://doi.org/10.3103/S1062873811070343
6. Samarin V. V., Zagrebaev V. I. Role of neutrons in the fusion of nuclei. Phys. of Atom. Nucl. 70 (2007) 1003. https://doi.org/10.1134/S106377880706004X
7. Samarin V. V., Zagrebaev V. I. Channel coupling analysis of initial reaction stage in synthesis of super-heavy nuclei. Nucl. Phys. A 734 (2004) 044610. https://doi.org/10.1016/j.nuclphysa.2004.03.007
8. Samarin V. V., Zagrebaev V. I. Near-barrier fusion of heavy nuclei: coupling of channels. Phys. of Atom. Nucl. 72 (2004) 1462. https://doi.org/10.1134/1.1788037
9. Hagino K. et al. A program for coupled-channel calculations with all order coupling for heavy-ion fusion reactions. Comp. Phys. Comm. 123 (1999) 143. https://doi.org/10.1016/S0010-4655(99)00243-X
10. Zhigunov V. P., Zakhar’ev B. N. Coupled Channel Method in Quantum Scattering Theory (Moscow: Atomizdat, 1974) 216 p.
11. Vinitsky S. I., Ponomarev L. I. Coriolis interaction in adiabatic representation of three-body problem. J. of Nucl. Phys. 20 (1974) 576.
12. Samarin V. Nucleon states of strongly deformed nuclei and dinuclear systems in the nonoscillator two-center model. Phys. of Atom. Nucl. 73 (2010) 1416. https://doi.org/10.1134/S1063778810080156
13. Samarin V. Dinuclear systems at energies in the vicinity of the Coulomb barrier height. Phys. of Atom. Nucl. 72 (2009) 1682. https://doi.org/10.1134/S1063778809100093
14. Porter D. Computation Physics (London: A Wiley-Interscience Publication, 1972) 390 p.