Possible production of neutron-rich Md isotopes in multinucleon transfer reactions with Cf and Es targets

The possibilities for production of yet unknown neutron-rich isotopes ${}^{261–265}\mathrm{Md}$ are explored in the multinucleon transfer reactions with stable beams bombarding on Cf and Es targets. The production of a given isotope of neutron-rich Md is optimized by appropriate choices of projectile-target combinations and bombarding energies. The production cross sections of neutron-rich Md isotopes in the $0n$ and $1n$ evaporation channels of multinucleon transfer reactions are compared. The prospects for the use of radioactive beams in the production of new Md isotopes are discussed.

Figure 1

The comparison of nucleus-nucleus potential used in the calculations (solid line) with the proximity potential [44] for the ${}^{14}\mathrm{C}+{}^{254}\mathrm{Es}$ reaction. The interacting nuclei are assumed to be spherical.

Figure 2

The expected maximal production cross sections of neutron-rich isotopes ${}^{258–265}\mathrm{Md}$ in the $0n$ evaporation channel of the indicated multinucleon transfer reactions ${}^{14}\mathrm{C}+{}^{254}\mathrm{Es}$ (squares), ${}^{18}\mathrm{O}+{}^{254}\mathrm{Es}$ (circles), ${}^{22}\mathrm{Ne}+{}^{254}\mathrm{Es}$ (triangles), ${}^{26}\mathrm{Mg}+{}^{254}\mathrm{Es}$ (inverted triangles), ${}^{30}\mathrm{Si}+{}^{254}\mathrm{Es}$ (rhombuses), ${}^{36}\mathrm{S}+{}^{254}\mathrm{Es}$ (left-pointing triangles), ${}^{40}\mathrm{Ar}+{}^{254}\mathrm{Es}$ (right-pointing triangles), ${}^{48}\mathrm{Ca}+{}^{254}\mathrm{Es}$ (hexagons), and ${}^{50}\mathrm{Ti}+{}^{254}\mathrm{Es}$ (stars). The lines trace the results for the same isotopes of Md. The lines with different colors correspond to different isotopes of Md.

Figure 3

The expected maximal production cross sections of neutron-rich isotopes ${}^{258–265}\mathrm{Md}$ in the $0n$ evaporation channel of the indicated multinucleon transfer reactions ${}^{48}\mathrm{Ca}+{}^{249}\mathrm{Cf}$ (squares), ${}^{48}\mathrm{Ca}+{}^{250}\mathrm{Cf}$ (circles), ${}^{48}\mathrm{Ca}+{}^{251}\mathrm{Cf}$ (triangles), and ${}^{48}\mathrm{Ca}+{}^{252}\mathrm{Cf}$ (stars). The lines trace the results for the same isotopes of Md. The lines with different colors correspond to different isotopes of Md.

Figure 4

The same as in Fig. 2, but for the $1n$ evaporation channel.

Figure 5

The same as in Fig. 3, but for the $1n$ evaporation channel.

Figure 6

The expected maximal production cross sections of neutron-rich isotopes ${}^{258–261}\mathrm{Md}$ as a function of atomic number of the projectile in the $0n$ and $1n$ evaporation channels of the indicated multinucleon transfer reactions ${}^{14}\mathrm{C}+{}^{254}\mathrm{Es}$ (squares), ${}^{18}\mathrm{O}+{}^{254}\mathrm{Es}$ (circles), ${}^{22}\mathrm{Ne}+{}^{254}\mathrm{Es}$ (triangles), ${}^{26}\mathrm{Mg}+{}^{254}\mathrm{Es}$ (inverted triangles), ${}^{30}\mathrm{Si}+{}^{254}\mathrm{Es}$ (rhombuses), ${}^{36}\mathrm{S}+{}^{254}\mathrm{Es}$ (left-pointing triangles), ${}^{40}\mathrm{Ar}+{}^{254}\mathrm{Es}$ (right-pointing triangles), ${}^{48}\mathrm{Ca}+{}^{254}\mathrm{Es}$ (hexagon), and ${}^{50}\mathrm{Ti}+{}^{254}\mathrm{Es}$ (stars). The lines with different colors correspond to different isotopes of Md produced with different channels.

Figure 7

The expected maximal production cross sections of ${}^{258–262}\mathrm{Md}$ as a function of mass number of the Cf target in the $0n$ and $1n$ evaporation channels of the indicated multinucleon transfer reactions ${}^{48}\mathrm{Ca}+{}^{249}\mathrm{Cf}$ (squares), ${}^{48}\mathrm{Ca}+{}^{250}\mathrm{Cf}$ (circles), ${}^{48}\mathrm{Ca}+{}^{251}\mathrm{Cf}$ (triangles), and ${}^{48}\mathrm{Ca}+{}^{252}\mathrm{Cf}$ (inverted triangles). The lines with different colors correspond to different isotopes of Md produced with different channels.