# Particle decays of levels in $^{11,12}$N and $^{12}$O investigated with the invariant-mass method

## TL;DR

This study used the invariant-mass method to investigate particle-decaying states in light nuclei $^{11,12}$N and $^{12}$O, discovering new states, measuring decay properties, and analyzing momentum correlations to understand decay mechanisms.

## Contribution

First observation of a second 2$p$-decaying 2$^+$ state in $^{12}$O and detailed analysis of decay channels and correlations in $^{11,12}$N and $^{12}$O.

## Key findings

- First detection of a second 2$p$-decaying 2$^+$ state in $^{12}$O
- Decay energies and widths measured for multiple states
- Momentum correlations consistent with sequential decay models

## Abstract

Particle-decaying states of the light nuclei $^{11,12}$N and $^{12}$O were studied using the invariant-mass method. The decay energies and intrinsic widths of a number of states were measured, and the momentum correlations of three-body decaying states were considered. A second 2$p$-decaying 2$^+$ state of $^{12}$O was observed for the first time, and a higher energy $^{12}$O state was observed in the 4$p$+2$\alpha$ decay channel. This 4$p$+2$\alpha$ channel also contains contributions from fission-like decay paths, including $^6$Be$_{g.s.}$+$^{6}$Be$_{g.s.}$. Analogs to these states in $^{12}$O were found in $^{12}$N in the 2$p$+$^{10}$B and 2$p$+$\alpha$+$^6$Li channels. The momentum correlations for the prompt 2$p$ decay of $^{12}$O$_{g.s.}$ were found to be nearly identical to those of $^{16}$Ne$_{g.s.}$, and the correlations for the new 2$^+$ state were found to be consistent with sequential decay through excited states in $^{11}$N. The momentum correlations for the 2$^+_1$ state in $^{12}$O provide a new value for the $^{11}$N ground-state energy. The states in $^{12}$N/$^{12}$O that belong to the $A$=12 isobaric sextet do not deviate from the quadratic isobaric multiplet mass equation (IMME) form.