A treatment of the non-local exchange potential in the classical theory of heavy ion reactions

1976 ◽  
Vol 276 (1) ◽  
pp. 79-83 ◽  
Author(s):  
N. Takigawa ◽  
K. Hara
2010 ◽  
Vol 22 (01) ◽  
pp. 1-53 ◽  
Author(s):  
OLIVER MATTE ◽  
EDGARDO STOCKMEYER

We prove an HVZ theorem for a general class of no-pair Hamiltonians describing an atom or positively charged ion with several electrons in the presence of a classical external magnetic field. Moreover, we show that there exist infinitely many eigenvalues below the essential spectrum and that the corresponding eigenfunctions are exponentially localized. The novelty is that the electrostatic and magnetic vector potentials as well as a non-local exchange potential are included in the projection determining the model. As a main technical tool, we derive various commutator estimates involving spectral projections of Dirac operators with external fields. Our results apply to all coupling constants e2Z < 1.


2017 ◽  
Vol 44 (3) ◽  
pp. 035101
Author(s):  
S Zhang ◽  
M Huang ◽  
R Wada ◽  
X Liu ◽  
W Lin ◽  
...  

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1406
Author(s):  
Rémi Bougault ◽  
Bernard Borderie ◽  
Abdelouahad Chbihi ◽  
Quentin Fable ◽  
John David Frankland ◽  
...  

Correlations and clustering are of great importance in the study of the Nuclear Equation of State. Information on these items/aspects can be obtained using heavy-ion reactions which are described by dynamical theories. We propose a dataset that will be useful for improving the description of light cluster production in transport model approaches. The dataset combines published and new data and is presented in a form that allows direct comparison of the experiment with theoretical predictions. The dataset is ranging in bombarding energy from 32 to 1930 A MeV. In constructing this dataset, we put in evidence the existence of a change in the light cluster production mechanism that corresponds to a peak in deuteron production.


2005 ◽  
Vol 24 (1-4) ◽  
pp. 91-97
Author(s):  
M. Zielinska-Pfabe ◽  
V. Baran ◽  
M. Colonna ◽  
M. Di Toro ◽  
H.H. Wolter

1997 ◽  
Vol 56 (6) ◽  
pp. 3242-3247 ◽  
Author(s):  
Raj K. Gupta ◽  
Manoj K. Sharma ◽  
Sarbjit Singh ◽  
Rachid Nouicer ◽  
Christian Beck

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