scholarly journals The Dirac form factor predicts the Pauli form factor in the Endpoint Model

2016 ◽  
Vol 76 (7) ◽  
Author(s):  
Sumeet K. Dagaonkar ◽  
Pankaj Jain ◽  
John P. Ralston
Keyword(s):  
Form Factor ◽  
Pauli Form Factor ◽  
Dirac Form Factor

scholarly journals Three-Loop Slope of the Dirac Form Factor and the1SLamb Shift in Hydrogen

2000 ◽  
Vol 84 (8) ◽  
pp. 1673-1676 ◽  
Author(s):  
Kirill Melnikov ◽  
Timo van Ritbergen
Keyword(s):  
Form Factor ◽  
Dirac Form Factor

scholarly journals The role of the GPD E in the determination of the parton angular momenta

2020 ◽  
Vol 35 (12) ◽  
pp. 2050093 ◽  
Author(s):  
P. Kroll
Keyword(s):  
Form Factor ◽  
Parton Distribution ◽  
Scale Dependence ◽  
Pauli Form Factor ◽  
Angular Momenta ◽  
Second Moments ◽  
Exclusive Processes

For the generalized parton distribution (GPD) E, extracted from hard exclusive processes and the Pauli form factor of the nucleon, the second moments for quarks and gluons at [Formula: see text] are calculated and their scale dependence analyzed. The parton angular momenta are subsequently determined and compared with other results.

scholarly journals Pauli form factor of quark and nontrivial topological structure of the QCD

2017 ◽  
Vol 96 (5) ◽  
Author(s):  
Baiyang Zhang ◽  
Andrey Radzhabov ◽  
Nikolai Kochelev ◽  
Pengming Zhang
Keyword(s):  
Form Factor ◽  
Topological Structure ◽  
Pauli Form Factor

scholarly journals The 4-loop slope of the Dirac form factor

2020 ◽  
Vol 234 ◽  
pp. 01009
Author(s):  
Stefano Laporta
Keyword(s):  
Form Factor ◽  
Hydrogen Atom ◽  
Energy Levels ◽  
Elliptic Integrals ◽  
Loop Contribution ◽  
One Dimensional ◽  
Dirac Form Factor ◽  
Complete Elliptic Integrals

The 4-loop contribution to the slope of the Dirac form factor in QED has been evaluated with 1100 digits of precision. The value is $ {m^2}F_1^{(4)'}(0) = {\rm{0}}{\rm{.886545673946443145836821730610315359390424032660064745}} \cdots {\left( {{\alpha \over \pi }} \right)^4} $. We have also obtained a semi-analytical fit to the numerical value. The expression contains harmonic polylogiπ2iπ iπ arithms of argument $ {e^{{{i\pi } \over 3}}},{e^{{{2i\pi } \over 3}}},{e^{{{i\pi } \over 2}}} $, one-dimensional integrals of products of complete elliptic integrals and six finite parts of master integrals, evaluated up to 4800 digits. We show the correction to the energy levels of the hydrogen atom due to the slope.

scholarly journals NEUTRON CHARGE RADIUS: RELATIVISTIC EFFECTS AND THE FOLDY TERM

2003 ◽  
Vol 18 (31) ◽  
pp. 5767-5779 ◽  
Author(s):  
W. R. B. DE ARAÚJO ◽  
T. FREDERICO ◽  
M. BEYER ◽  
H. J. WEBER
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Charge Radius ◽  
Relativistic Effects ◽  
Spin Coupling ◽  
Coupling Scheme ◽  
Neutron Radius ◽  
Quark Spin ◽  
Dirac Form Factor ◽  
Front Model

The neutron charge radius is studied within a light-front model with different spin coupling schemes and wave functions. The cancellation of the contributions from the Foldy term and Dirac form factor to the neutron charge form factor is verified for large nucleon sizes and it is independent of the detailed form of quark spin coupling and wave function. For the physical nucleon our results for the contribution of the Dirac form factor to the neutron radius are insensitive to the form of the wave function while they strongly depend on the quark spin coupling scheme.

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