https://doi.org/10.1140/epja/s10050-024-01460-x
Regular Article - Theoretical Physics
The resonance states of
in the microscopic cluster model with the absorbing boundary conditions method
1
Institute of Modern Physics, Key Laboratory of Nuclear Physics and Ion-Beam Application (MOE), Fudan University, 200433, Shanghai, China
2
Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, 200438, Shanghai, China
a
chenjinhui@fudan.edu.cn
b
zhou_bo@fudan.edu.cn
Received:
28
August
2024
Accepted:
22
November
2024
Published online:
7
December
2024
The absorbing boundary conditions method is applied in the microscopic Bloch–Brink cluster model using the generator coordinate method to study the resonance states of . A complex absorbing potential is introduced into the Hamiltonian, equivalent to the absorbing kernels added to the Hill-Wheeler equation. The
,
, and
states of
are analyzed for their corresponding energies and widths. The obtained results are consistent with those of the algebraic version of the resonating group method. This work is helpful in demonstrating the efficiency of the absorbing boundary conditions method for addressing nuclear cluster resonance problems within the framework of the generator coordinate method.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.