Eikonal Approximation for the Bilocal Vertex Function andνW2in a Fermion—Neutral-Vector-Gluon Model

1973 ◽  
Vol 8 (4) ◽  
pp. 1219-1225
Author(s):  
E. Eichten
Keyword(s):  
Vertex Function ◽  
Eikonal Approximation ◽  
Neutral Vector

Calculation of charge form factor of elastic electron scattering based on Skyrme force and relativistic eikonal approximation

2019 ◽  
Vol 28 (03) ◽  
pp. 1950015
Author(s):  
Xiaoyong Guo ◽  
Zaijun Wang ◽  
Tianjing Li ◽  
Jian Liu
Keyword(s):  
Electron Scattering ◽  
Mean Field ◽  
Form Factors ◽  
Eikonal Approximation ◽  
Skyrme Force ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
Charge Form ◽  
Relativistic Treatment ◽  
Rmf Model

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.

scholarly journals Edge Pair Sum Labeling

2013 ◽  
Vol 5 (3) ◽  
pp. 457-467 ◽  
Author(s):  
P. Jeyanthi ◽  
T. Saratha Devi
Keyword(s):  
Vertex Function ◽  
Injective Map

An injective map f : E(G) ? {±1, ±2, … ,±q } is said to be an edge pair sum labeling of a graph G(p, q) if the induced vertex function f*:V(G) ? Z – {0} defined by f*(?) = ?e?E? f(e)   is one-one, where  denotes the set of edges in G that are incident with a vertex v and  f*(V(G)) is either of the form {±k1, ±k2, … , ±kp/2} or {±k1, ±k2, … , ±k(p-1)/2}U{kp/2}according as p is even or odd. A graph with an edge pair sum labeling is called an edge pair sum graph. In this paper we prove that path Pn, cycle Cn, triangular snake, PmUK1,n, Cn?Kmc are edge pair sum graphs. Keywords: Pair sum graph, edge pair sum labeling, edge pair sum graph.© 2013 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi: http://dx.doi.org/10.3329/jsr.v5i3.15001 J. Sci. Res. 5 (3), 457-467 (2013)

scholarly journals Relativistic eikonal approximation in high-energyA(e,e′p)reactions

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