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

2014 ◽  
Vol 79 ◽  
pp. 1-56 ◽  
Author(s):  
Takayuki Myo ◽  
Yuma Kikuchi ◽  
Hiroshi Masui ◽  
Kiyoshi Katō
2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Takayuki Myo ◽  
Kiyoshi Katō

Abstract The complex scaling method (CSM) is one of the most powerful methods of describing the resonances with complex energy eigenstates based on non-Hermitian quantum mechanics. We present the basic application of CSM to the properties of the unbound phenomena of light nuclei. In particular, we focus on many-body resonant and non-resonant continuum states observed in unstable nuclei. We also investigate the continuum level density (CLD) in the scattering problem in terms of the Green’s function with CSM. We discuss the explicit effects of resonant and non-resonant contributions in CLD and transition strength functions.


2006 ◽  
Vol 116 (1) ◽  
pp. 1-35 ◽  
Author(s):  
Shigeyoshi Aoyama ◽  
Takayuki Myo ◽  
Kiyoshi Katō ◽  
Kiyomi Ikeda

2006 ◽  
Vol 21 (31n33) ◽  
pp. 2351-2358
Author(s):  
C. Kurokawa ◽  
K. Katō

The 3α resonant states of 12 C are investigated by taking into account the correct boundary condition for three-body resonant states. In order to show how the 3α resonant states having complex eigenvalues contribute to the real energy, we calculated the Continuum Level Density in the Complex Scaling Method.


2018 ◽  
Author(s):  
Kiyoshi Katō ◽  
Myagmarjav Odsuren ◽  
Takayuki Myo ◽  
Hiroshi Masui ◽  
Yuma Kikuchi

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