Possible production of neutron-rich No isotopes

Abstract

We investigate possible production of neutron-rich isotopes of nobelium. We calculate the production cross sections of $^{261--266}\mathrm{No}$ in the multinucleon transfer reactions of the same projectiles ($^{36}\mathrm{S},\phantom{\rule{0.28em}{0ex}}^{40}\mathrm{Ar},\phantom{\rule{0.28em}{0ex}}^{48}\mathrm{Ca}$, and $^{50}\mathrm{Ti}$) and targets ($^{254}\mathrm{Es}$ and $^{248--251}\mathrm{Cf}$) that were used in the previous study for the possible production of neutron-rich isotopes of Md. We find that the production cross sections of neutron-rich No isotopes are about an order of magnitude smaller than those for neutron-rich Md isotopes. By combining the results for the production of neutron-rich No and Md isotopes, we suggest simple expressions which can trace the isotopic trends of the production cross sections of heavy neutron-rich isotopes. The logarithm of the production cross section is proportional to isospin of projectile or target and the $Q$ value.