Abstract
The differences in the masses of isotopes with atomic numbers between ∼10 and ∼30 can be described within the chiral soliton model in satisfactory agreement with data. The rescaling of the model is necessary for this purpose—a decrease in the Skyrme constant by ∼30%, providing the “nuclear variant” of the model. The asymmetric term in the Weizsäcker-Bethe-Bacher mass formula for nuclei can be obtained as the isospin-dependent quantum correction to the nucleus energy. Some predictions of the binding energies of neutron-rich isotopes are made in this way from, e.g., 16Be, 19B to 31Ne or 32Na. The neutron-rich nuclides with high values of isospin are unstable relative to decay owing to strong interactions. The SK4 (Skyrme) variant of the model, as well as the SK6 variant (sixth-order term in the derivatives of the chiral field in the Lagrangian as soliton stabilizer), is considered; the rational-map approximation is used to describe multi-Skyrmions.
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Kopeliovich, V.B., Shunderuk, A.M. & Matushko, G.K. Mass splittings of nuclear isotopes in chiral solition approach. Phys. Atom. Nuclei 69, 120–132 (2006). https://doi.org/10.1134/S1063778806010169
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DOI: https://doi.org/10.1134/S1063778806010169