Nucleon structure functions in noncommutative space-time

In the context of noncommutative space-time we investigate the nucleon structure functions which play an important role in identifying the internal structure of nucleons. We use the corrected vertices and employ new vertices that appear in two approaches of noncommutativity and calculate the proton...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Vol. 77; no. 5; pp. 1 - 11
Main Authors: Rafiei, A., Rezaei, Z., Mirjalili, A.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2017
Springer
Springer Nature B.V
SpringerOpen
Subjects:
Astronomy
Astrophysics and Cosmology
Consistency
Elementary Particles
Gluon Distribution
Gluon Vertex
Hadrons
Heavy Ions
Lorentz Violation
Lower bounds
Mathematical analysis
Mathematical models
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Nucleons
Parameterization
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Spacetime
Star Product
String Theory
Structure Function
Gluon Distribution
Star Product
Structure Function
Lorentz Violation
Gluon Vertex
ISSN:1434-6044, 1434-6052
Online Access:Get full text
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Summary:In the context of noncommutative space-time we investigate the nucleon structure functions which play an important role in identifying the internal structure of nucleons. We use the corrected vertices and employ new vertices that appear in two approaches of noncommutativity and calculate the proton structure functions in terms of the noncommutative tensor θ μ ν . To check our results we plot the nucleon structure function (NSF), F 2 ( x ) , and compare it with experimental data and the results from the GRV, GJR and CT10 parametrization models. We show that with the new vertex that arises the noncommutativity correction will lead to a better consistency between theoretical results and experimental data for the NSF. This consistency will be better for small values of the Bjorken variable x . To indicate and confirm the validity of our calculations we also act conversely. We obtain a lower bound for the numerical values of Λ NC scale which correspond to recent reports.
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ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-017-4876-8