Double Gamow-Teller transitions and its relation to neutrinoless $\beta\beta$ decay

Understand

We study the double Gamow-Teller (DGT) strength distribution of $^{48}$Ca with state-of-the-art large-scale nuclear shell model calculations.

• Our analysis shows that the centroid energy of the DGT giant resonance depends mostly on the isovector pairing interaction, while the resonance width is more sensitive to isoscalar pairing.
• Pairing correlations are also key in neutrinoless $\beta\beta$ ($0\nu\beta\beta$) decay.
• We find a simple relation between the centroid energy and width of the $^{48}$Ca DGT giant resonance and %the value of the $0\nu\beta\beta$ decay nuclear matrix element.