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The Structure of the Proton : Deep Inelastic Scattering - R. G. Roberts

The Structure of the Proton

Deep Inelastic Scattering

Paperback Published: 25th April 1994
ISBN: 9780521449441
Number Of Pages: 196

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This graduate/research level book describes our present knowledge of protons and neutrons, the particles which make up the nucleus of the atom. Experiments using high energy electrons, muons and neutrinos reveal the proton as being made up of point-like constituents, quarks. The strong forces which bind the quarks together are described in terms of the modern theory of quantum chromodynamics (QCD), the 'glue' binding the quarks being mediated by new constituents called gluons. Larger and new particle accelerators probe the interactions between quarks and gluons at shorter distances. The understanding of this detailed substructure and of the fundamental forces responsible is one of the keys to unravelling the physics of the structure of matter. This book will be of interest to all theoretical and experimental particle physicists.

Industry Reviews

"...a concise, complete, and up-to-date summary of the field, from precise definitions of lepton-nucleon cross-sections in terms of structure functions, to their interpretation in terms of the quark-parton model, to perturbative quantum chromodynamics and nuclear effects." Gabriel Karl, Science "Written by one of the subject's leading experts, it comes as no surprise to find that all the important theoretical and experimental results to date are included. Together with a beautifully clear writing style, this makes an invaluable purchase for beginners and experts alike." CERN Courier

Introductionp. 1
Structure functionsp. 8
Kinematics and variablesp. 8
Electromagnetic interactionp. 9
Structure functionsp. 9
Elastic contributionp. 12
Cross-sections for virtual photonsp. 13
Weak charged current interactionp. 14
Structure functionsp. 14
Elastic contributionp. 15
Cross-sections for virtual W'sp. 16
Polarised structure functionsp. 17
Extracting structure functions from experimentp. 19
Quark parton modelp. 24
Light cone dominance and the impulse approximationp. 24
Bjorken scalingp. 25
Quark distributionsp. 28
Electron nucleon scattering via the neutral currentp. 28
Neutrino-nucleon scattering via the charged currentp. 30
Neutrino-nucleon scattering via the neutral currentp. 32
Electron-nucleon scattering via the charged currentp. 33
Sum rulesp. 33
Behaviour of quark distributions at small and large xp. 35
Small xp. 35
Large xp. 36
Information on quark distributions from experimentp. 38
Information from electromagnetic structure functionsp. 38
Information from weak structure functions in neutrino scatteringp. 39
Polarised structure functionsp. 41
Parton transverse momentump. 46
Perturbative QCDp. 50
Renormalisation group and the running coupling constantp. 50
Regularisationp. 56
Operator product expansionp. 57
An example: leading log behaviour of valence quarksp. 62
Applying QCD to deep inelastic scatteringp. 65
Moments of structure functions in leading order QCDp. 65
Non-singlet momentsp. 65
Target mass correctionsp. 67
Singlet momentsp. 68
Altarelli-Parisi equations in leading order QCDp. 71
Target mass correctionsp. 80
NLO corrections to moments of structure functionsp. 82
Non-singlet momentsp. 83
QCD corrections to sum rulesp. 87
NLO corrections to singlet momentsp. 88
Corrections to sum rules of polarised structure functionsp. 90
NLO corrections to the Altarelli-Parisi equationsp. 92
Inverse Mellin transforms of moment evolutionp. 92
Longitudinal structure function and [sigma][subscript L]/[sigma][subscript T]p. 94
Heavy flavour thresholdsp. 95
Large and small xp. 101
Large x: dimensional counting rulesp. 101
Large x: soft gluons beyond the renormalisation groupp. 104
Large x: higher twistsp. 107
Small x region: predictions of theoryp. 112
Very small x: parton-parton interactionsp. 115
The parton distributionsp. 120
Analysing the DIS datap. 120
The gluon and light quark distributionsp. 124
The strange quark distributionp. 127
The charm and bottom quark distributionsp. 130
Information on the gluon distribution from other processesp. 131
Hadroproduction of J/[Phi]p. 133
Prompt photon productionp. 134
Hadronic jet productionp. 135
Pinning down the small-x gluon distributionp. 136
Polarised quark and gluon distributionsp. 140
Quarks and gluons in nuclei - structure of the bound nucleonp. 143
Experimental situationp. 143
The convolution modelp. 144
Conventional nuclear physics modelp. 149
Alternative convolution modelp. 153
Relations between nuclear properties and QCDp. 156
Polarised nucleip. 157
Parton recombinationp. 159
Parton fusion functions and the recombination contributionp. 161
Q[superscript 2]-dependence and shadowing of the structure functionp. 164
Radiative correctionsp. 168
Radiation from the electronp. 168
Radiation from the hadronp. 170
Resultsp. 171
Referencesp. 174
Indexp. 180
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521449441
ISBN-10: 0521449448
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 196
Published: 25th April 1994
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.37 x 15.29  x 1.25
Weight (kg): 0.3

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