Figure 1

Experimental proton-decay $Q$ values of odd-$Z$ elements from Tm to Tl measured either directly or in combination with $\alpha$-decay measurements are shown by the filled circles. Values estimated by linearly extrapolating these systematics are indicated by the empty circles, while the square denotes the value for the $\pi h_{11/2}$ state in ${}^{160}\mathrm{Re}$ estimated from the corresponding values in ${}^{156}\mathrm{Ta}$ and ${}^{164}\mathrm{Ir}$ (see text for details). Panel (a) is for high-spin ($\pi h_{11/2}$) states in odd-$Z$, even-$N$ nuclei, while (b) shows the corresponding values for odd-$Z$, odd-$N$ nuclei. Panels (c) and (d) show the values for low-spin ($\pi s_{1/2}$ or $\pi d_{3/2}$) states in odd-$Z$, even-$N$ and odd-$Z$, odd-$N$ nuclei, respectively. Data are taken from Refs. [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25].Reuse & Permissions

Figure 2

Differences between measured and estimated $Q_{\mathrm{p}}$ values for elements between Lu and Au obtained by (a) interpolating and (b) extrapolating the experimental data along the isotopic chains presented in Fig. 1. (c) Differences between measured and estimated $Q_{\mathrm{p}}$ values obtained from the average of appropriate values from neighboring odd-$Z$ elements. See text for details. Values for high-spin states are indicated by the filled circles and for low-spin states by the empty circles. Some values are offset slightly from the true mass number for clarity of presentation.Reuse & Permissions

Figure 3

Schematic diagram showing the possible proton and $\alpha$ decays of the $\pi h_{11/2}$ states in ${}^{160}\mathrm{Re}$ and ${}^{164}\mathrm{Ir}$ and the decays of their daughters. Unknown decays are indicated by the dashed lines.Reuse & Permissions

Figure 4

Excitation energies of $\pi h_{11/2}$ states above (a) $\pi d_{3/2}$ and (b) $\pi s_{1/2}$ states. Measured values are indicated by the filled symbols, while the empty symbols indicate values estimated in the present study. The error bars for some data are smaller than the plotted symbol size. Data are taken from Refs. [5, 6, 7, 8, 9, 10, 11].Reuse & Permissions

Figure 5

Measured (filled symbols) and predicted (open symbols) partial half-lives for proton emission from Ta, Re, Ir, and Au nuclei. Values for the $s_{1/2}$, $d_{3/2}$, and $h_{11/2}$ orbitals are indicated by the square, triangle, and circle symbols, respectively. The dashed line indicates the typical flight time through a recoil separator of $~$1 $\mu$s. Measured half-lives are taken from Refs. [5, 6, 7, 8, 9, 10, 11, 12, 13].Reuse & Permissions

Figure 6

Experimental $\alpha$-decay $Q$ values of odd-$Z$ elements from Ta to Au are indicated by the filled symbols. Values deduced from the estimated $Q_{\mathrm{p}}$ values presented in Table , combined with other measured $Q_{\alpha }$ values and $Q_{\mathrm{p}}$ values, are indicated by the empty symbols. Panel (a) is for high-spin ($\pi h_{11/2}$) states in odd-$Z$, even-$N$ nuclei, while (b) shows the corresponding values for odd-$Z$, odd-$N$ nuclei. Panels (c) and (d) show the values for low-spin ($\pi s_{1/2}$ or $\pi d_{3/2}$) states in odd-$Z$, even-$N$ and odd-$Z$, odd-$N$ nuclei, respectively. Data are taken from Refs. [5, 46, 47, 48, 49, 50, 51, 52].Reuse & Permissions