Microscopic Theory of the Two-Proton Radioactivity

We formulate a theory of the two-proton radioactivity based on the real-energy continuum shell model. This microscopic approach is applied to describe the two-proton decay of the $1_2^{-}$ state in ${}^{18}\mathrm{Ne}$.

Figure 1

$1p$-emission width for the decay of the $1_2^{-}$ state in ${}^{18}\mathrm{Ne}$ is plotted as a function of the strength $V_0$ of the WB force for the PSDFP (solid line) and WBT (dashed line) effective interactions.

Figure 2

The real part of a diproton source function for the decay of the $1_2^{-}$ state in ${}^{18}\mathrm{Ne}$. Solid (dashed) line corresponds to the PSDFP (WBT) effective interaction. The short-dashed line denotes the source function obtained by neglecting couplings to opened $1p$-emission channels. For more details, see the description in the text.

Figure 3

The imaginary part of a diproton source function for the decay of the $1_2^{-}$ state in ${}^{18}\mathrm{Ne}$. For more details, see the caption of Fig. 2 and the description in the text.