Mass splittings of nuclear isotopes in chiral soliton approach

摘要

The differences in the masses of isotopes with atomic numbers between similar to 10 mid similar to 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 similar to 30%, providing the "nuclear variant" of the model. The asymmetric term in the Weizsacker - 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 ill this way from, e.g., Be-10, B-19 to Ne-31 or Na-32. 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 multii-Skymions.