scholarly journals Complex scaling: Physics of unbound light nuclei and perspective

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Takayuki Myo ◽  
Kiyoshi Katō
Keyword(s):  
Level Density ◽  
Scattering Problem ◽  
Light Nuclei ◽  
Transition Strength ◽  
Complex Scaling ◽  
Many Body ◽  
Complex Scaling Method ◽  
Continuum States ◽  
Unstable Nuclei ◽  
Strength Functions

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.

scholarly journals Structure of continuum states and srength function in the complex scaling method

2020 ◽  
Vol 239 ◽  
pp. 04003
Author(s):  
Myagmarjav Odsuren ◽  
Gonchigdorj Khuukhenkhuu ◽  
Sarsembayeva Aiganym ◽  
Suren Davaa ◽  
Batsaikhan Usukhbayar
Keyword(s):  
Cross Section ◽  
Level Density ◽  
Scattering Cross Section ◽  
Complex Scaling ◽  
Scaling Method ◽  
Complex Scaling Method ◽  
Continuum States ◽  
Body Model ◽  
Scattering Cross

We present our recent results of the mirror nuclei 5He and 5Li obtained by analyzing structure of continuum states in the complex scaled α + N two-body model. Decomposed scattering cross section and continuum level density of α + N system are discussed.

ELECTRO-WEAK TRANSITIONS OF 4He USING REALISTIC NUCLEAR INTERACTIONS

2011 ◽  
Vol 20 (04) ◽  
pp. 781-784 ◽  
Author(s):  
WATARU HORIUCHI ◽  
YASUYUKI SUZUKI ◽  
TORU SATO
Keyword(s):  
Weak Interactions ◽  
Nuclear Interaction ◽  
Transition Strength ◽  
Final States ◽  
Complex Scaling ◽  
Dipole Strength ◽  
Scaling Method ◽  
Complex Scaling Method ◽  
Continuum States ◽  
Explicitly Correlated

In this contribution we discuss electro-weak induced transitions involving 4 He . The wave function of the ground state is obtained accurately using an explicitly correlated basis with a realistic nuclear interaction. Four-body final states are expressed in a superposition of many basis functions which contain important configurations for the low-lying transition strength. Resonant and continuum states are treated properly in the complex scaling method. The discussion is mainly focused on the electric dipole strength. Also, we mention those transitions induced by the weak interactions which are important for a neutrino-nucleus reaction.

Three-alpha resonant state and its contribution in continuum spectrum

2006 ◽  
Vol 21 (31n33) ◽  
pp. 2351-2358
Author(s):  
C. Kurokawa ◽  
K. Katō
Keyword(s):  
Boundary Condition ◽  
Resonant State ◽  
Level Density ◽  
Complex Scaling ◽  
Scaling Method ◽  
Complex Scaling Method ◽  
Resonant States ◽  
Complex Eigenvalues ◽  
Three Body ◽  
The Continuum

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.

RESONANCES AND CONTINUUMS IN THE THREE-BODY BREAKUP OF HALO NUCLEI WITH THE COMPLEX SCALING METHOD

2003 ◽  
Vol 18 (02n06) ◽  
pp. 166-169
Author(s):  
TAKAYUKI MYO ◽  
KIYOSHI KATŌ ◽  
SHIGEYOSHI AOYAMA ◽  
KIYOMI IKEDA
Keyword(s):  
Halo Nuclei ◽  
Complex Scaling ◽  
Scaling Method ◽  
Coulomb Breakup ◽  
Complex Scaling Method ◽  
Continuum States ◽  
Body Model ◽  
Decay Widths ◽  
Three Body ◽  
The Continuum

We investigate the three-body Coulomb breakup reaction of two-neutron halo nuclei 11 Li , where we adopt the extended three-body model of 11 Li with paying attention to the pairing correlation of the nuclei, and also employ the complex scaling method (CSM) to solve the three-body unbound states of 11 Li . From the results, we cannot find any dipole resonances, at least, having small decay widths. This means that the breakup strength is exhausted by the continuum states. We compare the obtained strength showing the low energy enhancement to the several experimental data.

ANALYSIS ON TWO-NEUTRON CORRELATION THROUGH DALITZ PLOT OF COULOMB BREAKUP REACTION FOR 6He

2008 ◽  
Vol 17 (10) ◽  
pp. 2368-2373
Author(s):  
YUMA KIKUCHI ◽  
KIYOSHI KATŌ ◽  
TAKAYUKI MYO ◽  
MASAAKI TAKASHINA ◽  
KIYOMI IKEDA
Keyword(s):  
Breakup Reaction ◽  
Transition Strength ◽  
Complex Scaling ◽  
Scaling Method ◽  
Sequential Decay ◽  
Coulomb Breakup ◽  
Complex Scaling Method ◽  
Decaying States ◽  
Three Body ◽  
Transition Reaction

A new method to describe the three-body decaying states is developed. In this method, the Lippmann–Schwinger equation is combined with the complex scaling method to take the correct boundary condition into account. For the application, the E1 transition strength of 6 He is investigated. The energy and Dalitz distributions of the E1 transition are calculated, and the internal correlation of 6 He is discussed. As results, it is found that the 6 He → 5 He (3/2-)+n → 4 He +n+n sequential decay process is dominant in the E1 transition reaction of 6 He .

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