The resonance states of \(^{8}\textrm{Be}\) in the microscopic cluster model with the absorbing boundary conditions method

Abstract

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 \(^8\textrm{Be}\). A complex absorbing potential is introduced into the Hamiltonian, equivalent to the absorbing kernels added to the Hill-Wheeler equation. The \(0^{+}\), \(2^{+}\), and \(4^{+}\) states of \(^{8}\textrm{Be}\) 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.