Production of unknown Fl isotopes in proton evaporation channels within the dinuclear system model

Abstract

The production of Fl isotopes in proton evaporation channels is investigated systematically within the dinuclear system model. Because the proton evaporation is the easiest for Mc isotopes among the isotopes around $Z=114$, one can synthesize Fl isotopes in the proton evaporation channel. The calculated ER cross sections by the DNS model reproduce the experimental data very well. The dependence of the production cross sections on projectile isospin in capture, fusion, and survival processes in $^{32,34,36}\mathrm{S}+^{255}\mathrm{Es}$ reactions is studied. The capture cross sections and survival probability in the $^{36}\mathrm{S}+^{255}\mathrm{Es}$ reaction are the largest, while the fusion probability in the $^{32}\mathrm{S}+^{255}\mathrm{Es}$ reaction is the highest. The reaction $^{48}\mathrm{Ca}+^{244}\mathrm{Am}$ is a promising candidate to synthesize the unknown isotope $^{290}\mathrm{Fl}$ with the maximum ER cross section of 4.07 pb in the $p1n$ evaporation channel. Another new isotope $^{291}\mathrm{Fl}$ can be produced in the $^{54}\mathrm{Cr}+^{239}\mathrm{Pa}$ reaction and the production cross section is estimated to be 0.11 pb.