The Eikonal Approximation

2019 ◽  
Vol 28 (03) ◽  
pp. 1950015
Author(s):  
Xiaoyong Guo ◽  
Zaijun Wang ◽  
Tianjing Li ◽  
Jian Liu

We construct a scheme to calculate the charge form factors for the elastic electron scattering. Our calculation is based on the relativistic eikonal approximation and the Skyrme–Hartree–Fock equation. To perform our calculation and benchmark the results, eight model nuclei with available experimental data: [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] are considered. For the comparison, the charge form factors calculated by the relativistic mean-field (RMF) model are also provided. Parameter set SLy5 is utilized for the Skyrme force, and the set NL3 is applied for the RMF model. It has been confirmed that combining of a nonrelativistic treatment for the target nucleus with a relativistic treatment for the incident electron may work better to reach highly descriptive and predictive results similar to the pure relativistic treatment. The results of this work are also useful for future experiments to test different inputs of densities for a specific nucleus.


2000 ◽  
Vol 62 (2) ◽  
Author(s):  
D. Debruyne ◽  
J. Ryckebusch ◽  
W. Van Nespen ◽  
S. Janssen

2001 ◽  
Vol 10 (06) ◽  
pp. 405-457 ◽  
Author(s):  
MISAK M. SARGSIAN

We review the present status of the theory of high energy reactions with semi-exclusive nucleon electro-production from nuclear targets. We demonstrate how the increase of transferred energies in these reactions opens a completely new window for study of the microscopic nuclear structure at small distances. The simplifications in theoretical descriptions associated with the increase in the energies are discussed. The theoretical framework for calculation of high energy nuclear reactions based on the effective Feynman diagram rules is described in detail. The result of this approach is the generalized eikonal approximation (GEA), which is reduced to the Glauber approximation when nucleon recoil is neglected. The method of GEA is demonstrated in the calculation of high energy electro-disintegration of the deuteron and A=3 targets. Subsequently, we generalize the obtained formulae for A>3 nuclei. The relation of GEA to the Glauber theory is analyzed. Then, based on the GEA framework we discuss some of the phenomena which can be studied in exclusive reactions: nuclear transparency and short-range correlations in nuclei. We illustrate how light-cone dynamics of high-energy scattering emerge naturally in high energy electro-nuclear reactions.


1970 ◽  
Vol 2 (4) ◽  
pp. 805-810 ◽  
Author(s):  
George Tiktopoulos ◽  
S. B. Treiman

1980 ◽  
Vol 57 (1) ◽  
pp. 1-10 ◽  
Author(s):  
G. Ferrante ◽  
E. Fiordilino

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