Prediction of synthesis cross sections of new moscovium isotopes in fusion-evaporation reactions

In the framework of the dinuclear system model, the synthesis mechanism of the superheavy nuclides with atomic numbers Z=112, 114, 115 in the reactions of projectiles ^40,48 Ca bombarding on targets ^238 U, ^242 Pu, and ^243 Am within a wide interval of incident energy has been investigated systematically. Based on the available experimental excitation functions, the dependence of calculated synthesis cross-sections on collision orientations has been studied thoroughly. The total kinetic energy (TKE) of these collisions with fixed collision orientation shows orientation dependence, which can be used to predict the tendency of kinetic energy diffusion. The TKE is dependent on incident energies, as discussed in this paper. We applied the method based on the Coulomb barrier distribution function in our calculations. This allowed us to approximately consider all the collision orientations from tip-tip to side-side. The calculations of excitation functions of ^48 Ca + ^238 U, ^48 Ca + ^242 Pu, and ^48 Ca + ^243 Am are in good agreement with the available experimental data. The isospin effect of projectiles on production cross-sections of moscovium isotopes and the influence of the entrance channel effect on the synthesis cross-sections of superheavy nuclei are also discussed in this paper. The synthesis cross-section of new moscovium isotopes ^278-286 Mc was predicted to be as large as hundreds of pb in the fusion-evaporation reactions of ^35,37 Cl + ^248 Cf, ^38,40 Ar + ^247 Bk, ^39,41 K + ^247 Cm, ^40,42,44,46 Ca + ^243 Am, ^45 Sc + ^244 Pu, and ^46,48,50 Ti + ^237 Np, ^51 V + ^238 U at some typical excitation energies.