Momentum distributions of $\alpha$-particles from decaying low-lying ${}^{12}$C-resonances

Abstract

The complex scaled hyperspherical adiabatic expansion method is used to compute momentum and energy distributions of the three $\alpha$-particles emerging from the decay of low-lying ${}^{12}$C-resonances. The large distance continuum properties of the wave functions are crucial and must be accurately calculated. We discuss separately decays of natural parity states: two $0^{+}$, one $1^{-}$, three $2^{+}$, one $3^{-}$, two $4^{+}$, one $6^{+}$, and one of each of unnatural parity, $1^{+}$, $2^{-}$, $3^{+}$, $4^{-}$. The lowest natural parity state of each $J^{\pi }$ decays predominantly sequentially via the ${}^8$Be ground state whereas other states including unnatural parity states predominantly decay directly to the continuum. We present Dalitz plots and systematic detailed momentum correlations of the emerging $\alpha$-particles.

11 pages, 7 figures, accepted for publication in Physical Review C

References in corpus (5)

• Structure of low-lying 12C-resonances
• Distinction between sequential and direct three-body decays
• Energy distributions from three-body decaying many-body resonances
• Selective population and neutron decay of the first excited state of semi-magic O-23
• Triple charged-particle decays of resonances illustrated by 12C-states

Cited by in corpus (8)

• Two-proton radioactivity of exotic nuclei beyond proton drip-line
• Two-proton radioactivity within Coulomb and proximity potential model
• The triple alpha reaction rate and the 2${}^{+}$ resonances in ${}^{12}$C
• Three-body bremsstrahlung and the rotational character of the 12C-spectrum
• Bound states of ${}_{\varphi }^9$Be and ${}_{\varphi \varphi }^6$He nuclei with $\varphi$+$\alpha$+$\alpha$ and $\varphi$+$\varphi$+$\alpha$ cluster models
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• alpha particle momentum distributions from 12C decaying resonances
• Fusion and reactions of $\alpha$+${}^8$Be in the Hoyle resonance and associated resonances region