Examination of production and properties of ${}^{268–271}\mathrm{Hs}$

The production cross sections of several isotopes of Hs and their properties are considered. The optimal reactions are predicted for producing ${}^{268–271}\mathrm{Hs}$. The possible $\alpha$-decay chains including these isotopes are analyzed and compared with the available experimental data. The number of new isomeric states is predicted in the nuclei of these $\alpha$-decay chains. The role of $\alpha$ decay in the identification of these isomeric states is discussed.

Figure 1

The calculated dependencies of quadrupole (${\beta }_{02}$, solid lines) and hexadecapole (${\beta }_{04}$, dashed lines) deformation parameters on $\lambda$ (a) at $\beta =1.28$ and on $\beta$ (b) at $\lambda =1.18$ for ${}^{248}\mathrm{Fm}$.

Figure 2

The calculated (th) and experimental (exp) [47] energies $E_{\mu }$ (in MeV) of one-quasiparticle states in ${}^{245}\mathrm{Pu}$.

Figure 3

The calculated (th) and experimental (exp) [48] energies (in keV) of one-quasiparticle states in ${}^{249}\mathrm{Fm}$. The rotational states $9/2^{+}$ and $11/2^{+}$ build on the ground state are shown as well. The calculated value of $Q_{\alpha }=8.09$ MeV for ${}^{253}\mathrm{No}$ is compared with the experimental $Q_{\alpha }^{exp}=8.133$ MeV.

Figure 4

The calculated potential energy surface of ${}^{269}\mathrm{Hs}$ as a function of $\lambda$ and $\beta$. The potential energy is with respect to the liquid-drop part at $\lambda =1$ and $\beta =1$. The potential energy minima are marked by crosses. The solid cross corresponds to the ground state potential minimum. The numbers in brackets near the crosses denote the parameters of quadrupole (${\beta }_{02}$) and hexadecapole (${\beta }_{04}$) deformations.

Figure 5

The same as in Fig. 4, but for ${}^{265}\mathrm{Sg}$.

Figure 6

The same as in Fig. 4, but for ${}^{261}\mathrm{Rf}$.

Figure 7

The same as in Fig. 4, but for ${}^{270}\mathrm{Hs}$.

Figure 8

The same as in Fig. 4, but for ${}^{266}\mathrm{Sg}$.

Figure 9

The potential energy surface of ${}^{270}\mathrm{Hs}$ as a function of ${\beta }_{02}$ and ${\beta }_{04}$ obtained with the Woods-Saxon single-particle spectrum used to calculate $\delta U_{\mathrm{mic}}$. The potential energy is with respect to the liquid-drop part of spherical nucleus. The potential energy minima are marked by crosses. The solid cross corresponds to the ground state potential minimum. The numbers in brackets near the crosses denote the parameters of quadrupole (${\beta }_{02}$) and hexadecapole (${\beta }_{04}$) deformations.

Figure 10

The calculated spectra of one-quasineutron states in the indicated nuclei. For the ground-state-to-ground-state $\alpha$ decays, the calculated values of $Q_{\alpha }$ are listed. Possible $\alpha$ decays are shown by arrows with corresponding values of $Q_{\alpha }$.

Figure 11

The calculated spectra of one-quasineutron states in the nuclei ${}^{253}\mathrm{Fm}$, ${}^{273}\mathrm{Ds}$, and ${}^{277}\mathrm{Cn}$.

Figure 12

The same as in Fig. 4, but for ${}^{271}\mathrm{Hs}$.

Figure 13

The same as in Fig. 4, but for ${}^{267}\mathrm{Sg}$.

Figure 14

The same as in Fig. 4, but for ${}^{263}\mathrm{Rf}$.

Figure 15

The calculated spectra of one-quasineutron states in the indicated nuclei. For the ground-state-to-ground-state $\alpha$ decays, the calculated values of $Q_{\alpha }$ are presented. Possible $\alpha$ decays are shown by arrows with corresponding values of $Q_{\alpha }$.

Figure 16

The calculated energies $E_{\mu }$ of low-lying two-quasiparticle states in the indicated nuclei of the $\alpha$-decay chain of ${}^{270}\mathrm{Hs}$. The calculated values of $Q_{\alpha }$ are compared with available experimental $Q_{\alpha }^{exp}$ [5, 6].

Figure 17

The same as in Fig. 16, but for the nuclei of the $\alpha$-decay chain containing ${}^{268}\mathrm{Hs}$. The calculated values of $T_{\alpha }$ are listed. The experimental values $Q_{\alpha }^{exp}$ of $Q_{\alpha }$ are from Ref. [47].