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Contributions of Alladi Ramakrishnan to the Mathematical Sciences Read chapter Read first chapter

2010 | OriginalPaper | Chapter

A Statistical Model for the Quark Structure of the Nucleon

Authors : V. Devanathan, S. Karthiyayini

Published in: The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Publisher: Springer New York

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Summary

The deep inelastic scattering experiments reveal that the nucleon is a composite object consisting of quarks and gluons. Treating them as Fermi and Bose gases, statistical distribution functions are used to describe their momentum distributions in the rest frame. When transformed to the infinite momentum frame, they yield quark and gluon distribution functions. A thermodynamical bag model is proposed to obtain realistic distribution functions that yield correctly the nucleon structure functions. By including the spin degree of freedom in the Fermi statistical distribution functions, the quark spin distribution functions and the polarized nucleon structure functions are obtained.

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Footnotes
1
For the derivation of (34), (35) and (37), the reader is referred to: V. Devanathan, Ch. 14, Nuclear Physics, Narosa Publishing House, New Delhi, India and Alpha Science International, Oxford, UK. (2006)
 
2
The bag constant is known to decrease as the temperature increases
$$B = {B}_{0}[1 - {(T/{T}_{\mathrm{c}})}^{4}],$$
where B 0 is a bag constant corresponding to T=0 and T c is the critical temperature determined from the pressure balance equation (36) by imposing the condition that the chemical potential vanishes at the critical temperature:
$${T}_{\mathrm{c}} = {(90{B}_{0}/37{\pi }^{2})}^{1/4} \approx 102.6\mbox{ MeV}.$$
 
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Metadata
Title
A Statistical Model for the Quark Structure of the Nucleon
Authors
V. Devanathan
S. Karthiyayini
Copyright Year
2010
Publisher
Springer New York
Book
The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Print ISBN: 978-1-4419-6262-1

Electronic ISBN: 978-1-4419-6263-8

Copyright Year: 2010

DOI
https://doi.org/10.1007/978-1-4419-6263-8_27

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