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Recent development of complex scaling method for many-body resonances and continua in light nuclei

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Title: Recent development of complex scaling method for many-body resonances and continua in light nuclei
Authors: Myo, Takayuki Browse this author
Kikuchi, Yuma Browse this author
Masui, Hiroshi Browse this author →KAKEN DB
Katō, Kiyoshi Browse this author →KAKEN DB
Keywords: Complex scaling method
Level density
Extended completeness relation
Halo nuclei
Issue Date: Nov-2014
Publisher: Elsevier
Journal Title: Progress in Particle and Nuclear Physics
Volume: 79
Start Page: 1
End Page: 56
Publisher DOI: 10.1016/j.ppnp.2014.08.001
Abstract: The complex scaling method (CSM) is a useful similarity transformation of the Schrödinger 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 L2L2 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.
Type: article (author version)
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 加藤 幾芳

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