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Dinuclear systems at energies in the vicinity of the Coulomb barrier height

  • Nuclei
  • Theory
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Abstract

The problem of constructing a quantum-mechanical description of neutron and collective degrees of freedom of dinuclear systems at the first stage of the near-barrier fusion of heavy ions is investigated. A new method for numerically solving the Schrödinger equation for an arbitrary axially symmetric field with allowance for spin-orbit interaction is proposed. Thismethod is not plagued by restrictions on the distance between approaching nuclei or on the elongation of fused nuclei or nuclei undergoing separation. The method is illustrated by applying it to determining neutron two-center (molecular) states in systems of light and heavy nuclei. The experimentally observed properties of the barrier distribution extracted from the energy dependence of the cross section for nuclear fusion are explained on the basis of an analysis of neutron states and excited vibrational and rotational states of a dinuclear system.

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Correspondence to V. V. Samarin.

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Original Russian Text © V.V. Samarin, 2009, published in Yadernaya Fizika, 2009, Vol. 72, No. 10, pp. 1740–1752.

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Samarin, V.V. Dinuclear systems at energies in the vicinity of the Coulomb barrier height. Phys. Atom. Nuclei 72, 1682–1694 (2009). https://doi.org/10.1134/S1063778809100093

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