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

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 a...

Full description

Saved in:
Bibliographic Details
Published in:Progress in particle and nuclear physics 2014-11, Vol.79, p.1-56
Main Authors: Myo, Takayuki, Kikuchi, Yuma, Masui, Hiroshi, Katō, Kiyoshi
Format: Article
Language:English
Subjects:
Complex scaling method
Extended completeness relation
Halo nuclei
Level density
Resonances
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 L2 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.
ISSN:0146-6410
1873-2224
DOI:10.1016/j.ppnp.2014.08.001