The differences of 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 -decrease of the Skyrme constant by ∼ 30%, providing the "nuclear variant" of the model. The asymmetric term in 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 in this way from, e.g. 16 Be, 19 B to 31 Ne or 32 Na. The neutron rich nuclides with high values of isospin are unstable relative to the decay due to strong interactions. The SK4 (Skyrme) variant of the model, as well as SK6 variant (sixth order term in chiral derivatives in the Lagrangian as solitons stabilizer) are considered, the rational map approximation is used to describe multiskyrmions. * 1) Probably, one of the first attempts to include the sixth order term was made in [7] where the bound B = 2 torus-like configuration was found, similar to the case of fourth order, or Skyrme term.

We show analytically that in the cumulative particles production off nuclei multiple interactions lead to a glory-like backward focusing effect. Employing the small phase space method we arrived at a characteristic angular dependence of the production cross section dσ ∼ 1/ √ π − θ near the strictly backward direction. This effect takes place for any number n ≥ 3 of interactions of rescattered particle, either elastic or inelastic (with resonance excitations in intermediate states), when the final particle is produced near corresponding kinematical boundary. In the final angles interval including the value θ = π the angular dependence of the cumulative production cross section can have the crater-like (or funnel-like) form. Such a behaviour of the cross section near the backward direction is in qualitative agreement with some of available data. Explanation of this effect and the angular dependence of the cross section near θ ∼ π are presented for the first time.

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