Resonances and scattering in microscopic cluster models with the complex-scaled generator coordinate method

Abstract

The generator coordinate method of a microscopic cluster model is developed to treat the resonance and scattering of nuclear clusters with complex scaling. We consistently derive the formulation of the complex scaling for the microscopic cluster model, in which only the relative motions between clusters are transformed in the generator coordinate wave function. We also reveal the applicability of this method to the cluster wave function. Furthermore, we demonstrate this framework in the 2$\alpha$ system of ${}^8$Be and obtain the solutions of resonance and non-resonant continuum states. Using these solutions, we calculate the level density, which brings the phase shifts of the cluster-cluster scattering. This work becomes the foundation in the description of the multi-cluster scattering states of nuclei in a microscopic framework with complex scaling.

arXiv comment9 pages, 9 figures

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Cited by in corpus (6)

• Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to ${}^{10}$Be with various clustering
• Cluster configurations in Li isotopes in the variation of multi-bases of the antisymmetrized molecular dynamics
• Generalized coherent states satisfying the Pauli principle in a nuclear cluster model
• Complex-scaled no-core shell model calculations of bound and unbound nuclear states in light nuclei
• Physics of many-body resonances with complex scaling and applications to light unstable nuclei
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics