scholarly journals Pion loop contribution to the electromagnetic pion charge radius

1995 ◽  
Author(s):  
C D Roberts ◽  
A Bender ◽  
R Alkofer

1995 ◽  
Vol 10 (23) ◽  
pp. 3319-3342 ◽  
Author(s):  
REINHARD ALKOFER ◽  
AXEL BENDER ◽  
CRAIG D. ROBERTS

A phenomenological Dyson-Schwinger equation approach to QCD, formalized in terms of a QCD-based model field theory, is used to calculate the electromagnetic charge radius of the pion. The contributions from the core of dressed quarks and the pion loop are identified and compared. It is shown explicitly that the divergence of the charge radius in the chiral limit is due to the pion loop but that at mπ=0.14 GeV this loop contributes less than 15% to [Formula: see text], i.e. the dressed quark core is the dominant determining characteristic for the pion.



2018 ◽  
Vol 179 ◽  
pp. 01001 ◽  
Author(s):  
Johan Bijnens

This talk is about the hadronic light-by-light contribution to the muon anomalous magnetic moment, mainly our old work but including some newer results as well. It concentrates on the model calculations. Most attention is paid to pseudo-scalar exchange and the pion loop contribution. Scalar, a1-exchange and other contributions are shortly discussed as well. For the π0-exchange a possible large cancellation between connected and disconnected diagrams is expected.



1997 ◽  
Vol 55 (3) ◽  
pp. 1477-1491 ◽  
Author(s):  
K. L. Mitchell ◽  
P. C. Tandy


1999 ◽  
Vol 30 (1) ◽  
pp. 29 ◽  
Author(s):  
Yu. A. Aleksandrov
Keyword(s):  


1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li

We show that the two-loop contribution to the coefficient of the Chern–Simons term in the effective action of the Yang–Mills–Chern–Simons theory is infrared finite in the background field Landau gauge. We also discuss the difficulties in verifying the conjecture, due to topological considerations, that there are no more quantum corrections to the Chern–Simons term other than the well-known one-loop shift of the coefficient.



2021 ◽  
Vol 12 (1) ◽  
Author(s):  
H. Atac ◽  
M. Constantinou ◽  
Z.-E. Meziani ◽  
M. Paolone ◽  
N. Sparveris
Keyword(s):  


2021 ◽  
Vol 12 (1) ◽  
Author(s):  
M. Reponen ◽  
R. P. de Groote ◽  
L. Al Ayoubi ◽  
O. Beliuskina ◽  
M. L. Bissell ◽  
...  

AbstractUnderstanding the evolution of the nuclear charge radius is one of the long-standing challenges for nuclear theory. Recently, density functional theory calculations utilizing Fayans functionals have successfully reproduced the charge radii of a variety of exotic isotopes. However, difficulties in the isotope production have hindered testing these models in the immediate region of the nuclear chart below the heaviest self-conjugate doubly-magic nucleus 100Sn, where the near-equal number of protons (Z) and neutrons (N) lead to enhanced neutron-proton pairing. Here, we present an optical excursion into this region by crossing the N = 50 magic neutron number in the silver isotopic chain with the measurement of the charge radius of 96Ag (N = 49). The results provide a challenge for nuclear theory: calculations are unable to reproduce the pronounced discontinuity in the charge radii as one moves below N = 50. The technical advancements in this work open the N = Z region below 100Sn for further optical studies, which will lead to more comprehensive input for nuclear theory development.





2003 ◽  
Vol 33 (S1) ◽  
pp. s865-s867 ◽  
Author(s):  
J. Papavassiliou ◽  
J. Bernabéu ◽  
D. Binosi ◽  
J. Vidal
Keyword(s):  


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