Complex scaling unifies quasinormal modes and continuum response for black-hole perturbations in four-dimensional Schwarzschild-de Sitter spacetimes.
Recent development of complex scaling method for many-body resonances and continua in light nuclei
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abstract
The complex scaling method (CSM) is a useful similarity transformation of the Schr\"odinger equation, in which bound-state spectra are not changed but continuum spectra are separated into resonant and non-resonant continuum ones. Because the asymptotic wave functions of the separated resonant states are regularized by the CSM, many-body resonances can be obtained by solving an eigenvalue problem with the $L^2$ basis functions. Applying this method to a system consisting of a core and valence nucleons, we investigate many-body resonant states in weakly bound nuclei very far from the stability lines. Non-resonant continuum states are also obtained with the discretized eigenvalues on the rotated branch cuts. Using these complex eigenvalues and eigenstates in CSM, we construct the extended completeness relations and Green's functions to calculate strength functions and breakup cross sections. Various kinds of theoretical calculations and comparisons with experimental data are presented.
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UNVERDICTED 3representative citing papers
Using a folding potential derived from nucleon-nucleon interactions and shell-model wave functions in the cluster model plus the multiple internal reflections method, the work calculates quasibound resonance states and formation probabilities for the 24Mg compound nucleus in 12C + 12C pycnonuclear反应
Complex scaling converts outgoing boundary conditions into eigenvalue problems to compute quasinormal frequencies for Schwarzschild and Reissner-Nordström black holes, including the extremal limit.
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Quasinormal modes and continuum response of de Sitter black holes via complex scaling method
Complex scaling unifies quasinormal modes and continuum response for black-hole perturbations in four-dimensional Schwarzschild-de Sitter spacetimes.
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Microscopic study of nuclei synthesis in pycnonuclear reaction $^{12}$C + $^{12}$C in neutron stars
Using a folding potential derived from nucleon-nucleon interactions and shell-model wave functions in the cluster model plus the multiple internal reflections method, the work calculates quasibound resonance states and formation probabilities for the 24Mg compound nucleus in 12C + 12C pycnonuclear反应
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Complex scaling approach to quasinormal modes of Schwarzschild and Reissner--Nordstr\"om black holes
Complex scaling converts outgoing boundary conditions into eigenvalue problems to compute quasinormal frequencies for Schwarzschild and Reissner-Nordström black holes, including the extremal limit.