Abstract
Background: The nucleus and related capture reaction, , have been intensively studied with an astrophysical interest. Due to the weakly bound nature of , its structure is likely to be described as the three-body (). Its continuum structure is also important to describe reaction processes of , with which the reaction rate of the process have been extracted indirectly.
Purpose: We preform three-body calculations on and discuss properties of its ground and low-lying states via breakup reactions.
Methods: We employ the three-body model of using the Gaussian-expansion method combined with the complex-scaling method. This model is implemented in the four-body version of the continuum-discretized coupled-channels method, by which breakup reactions of are studied. The intrinsic spin of is disregarded.
Results: By tuning a three-body interaction in the Hamiltonian of , we obtain the low-lying state with the resonant energy 0.781 MeV and the decay width 0.137 MeV, which is consistent with the available experimental information and a relatively high-lying second wider resonant state. Our calculation predicts also sole and three resonant states. We discuss the role of these resonances in the elastic breakup cross section of on at 65 and 160 MeV/nucleon.
Conclusions: The low-lying state is probed as a sharp peak of the breakup cross section, while the states enhance the cross section around 3 MeV. Our calculations will further support the future and ongoing experimental campaigns for extracting astrophysical information and evaluating the two-proton removal cross sections.
- Received 17 March 2021
- Revised 9 August 2021
- Accepted 27 August 2021
DOI:https://doi.org/10.1103/PhysRevC.104.034612
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