Three-body properties of low-lying ${}^{12}$Be resonances

Abstract

We compute the three-body structure of the lowest resonances of ${}^{12}$Be considered as two neutrons around an inert ${}^{10}$Be core. This is an extension of the bound state calculations of ${}^{12}$Be into the continuum spectrum. We investigate the lowest resonances of angular momenta and parities, $0^{\pm }$, $1^{-}$ and $2^{+}$. Surprisingly enough, they all are naturally occurring in the three-body model. We calculate bulk structure dominated by small distance properties as well as decays determined by the asymptotic large-distance structure. Both $0^{+}$ and $2^{+}$ have two-body ${}^{10}$Be-neutron d-wave structure, while $1^{-}$ has an even mixture of $p$ and d-waves. The corresponding relative neutron-neutron partial waves are distributed among $s$, $p$, and d-waves. The branching ratios show different mixtures of one-neutron emission, three-body direct, and sequential decays. We argue for spin and parities, $0^{+}$, $1^{-}$ and $2^{+}$, to the resonances at 0.89, 2.03, 5.13, respectively. The computed structures are in agreement with existing reaction measurements.

To be published in Physical Review C

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Cited by in corpus (4)

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• Observation of the near-threshold intruder $0^{-}$ resonance in ${}^{12}$Be
• Analysis of Spectroscopic Factors in 11Be and 12Be in the Nilsson Strong Coupling Limit
• Resonances and collisional properties of neutron-rich helium isotopes in the adiabatic hyperspherical representation