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.

arXiv comment11 pages, 7 figures, accepted for publication in Physical Review C

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Cited by in corpus (21)

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• Universal few-body physics and cluster formation
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• Rotational bands in the continuum illustrated by ${}^8$Be results
• Direct and sequential radiative three-body reaction rates at low temperatures
• Above threshold s-wave resonances illustrated by the 1/2${}^{+}$ states in ${}^9$Be and ${}^9$B
• Structure and three-body decay of ${}^9$Be resonances
• Two-nucleon emitters within a pseudostate method: The case of ${}^6$Be and ${}^{16}$Be
• Two-proton radioactivity of exotic nuclei beyond proton drip-line
• Two-proton radioactivity within Coulomb and proximity potential model
• A Microscopic Cluster Description of 12C
• The triple alpha reaction rate and the 2${}^{+}$ resonances in ${}^{12}$C
• Three-body structure of low-lying 18Ne states
• Three-body properties of low-lying ${}^{12}$Be resonances
• 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
• Consistent alpha-cluster description of the 12C (0^+_2) resonance
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• alpha particle momentum distributions from 12C decaying resonances
• Three-particle decays of light nuclei resonances
• Fusion and reactions of $\alpha$+${}^8$Be in the Hoyle resonance and associated resonances region