Influence of entrance channel on the production of hassium isotopes

The production of hassium isotopes ${}^{266–271}\mathrm{Hs}$ in various reactions ${}^{22}\mathrm{Ne}+{}^{249}\mathrm{Cf},{}^{25,26}\mathrm{Mg}+{}^{248}\mathrm{Cm},{}^{30}\mathrm{Si}+{}^{244}\mathrm{Pu},{}^{34,36}\mathrm{S}+{}^{238}\mathrm{U},{}^{40}\mathrm{Ar}+{}^{232}\mathrm{Th}$, and ${}^{48}\mathrm{Ca}+{}^{226}\mathrm{Ra}$ is studied within the dinuclear system model. The experimental excitation functions of the isotopes ${}^{266–271}\text{Hs}$ are well described and predictions are made for future experiments.

Figure 1

The calculated dependence of the effective capture cross section on the excitation energy of the CN for the indicated reactions.

Figure 2

The calculated dependence of the fusion probability on the excitation energy of the CN for the indicated reactions.

Figure 3

The calculated survival probabilities as functions of the CN excitation energy. The CN are indicated by various colors. The solid, dashed, and dash-dotted lines are for the $5n,4n$, and $3n$ channels, respectively.

Figure 4

The measured (symbols) and calculated (lines) excitation functions for $xn$ evaporation channels $\left(x=3–5\right)$ in the reactions indicated. The $3n,4n$, and $5n$ channels are indicated by the dash-dotted, dashed, and solid lines, respectively. The circles, squares, and diamonds represent the experimental data [3, 14, 15, 16, 17] with errors for the $5n,4n$, and $3n$ channels, respectively. The black horizontal lines with arrows are the upper limits of the evaporation residue cross sections in given $xn$ channels, and the black triangles at the energy axis indicate the excitation energy $E_{\text{CN}}^{*}=V_B+Q$ of the CN. The excitation energies are calculated by using the predictions from the mass table of Ref. [39].

Figure 5

The same as in Fig. 4, but for the reactions indicated. The experimental data are from Refs. [3, 15, 16].

Figure 6

The same as in Fig. 4, but for the indicated reaction. The experimental data are from Ref. [40].