Note on the Most Probable Number of Partons in Parton Models

C. W. Gardiner; D. P. Majumdar

doi:10.1103/PhysRevD.4.259

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Note on the Most Probable Number of Partons in Parton Models

C. W. Gardiner

D. P. Majumdar

Physics Department, University of Waikato, Hamilton, New Zealand

Physics Department, Syracuse University, Syracuse, New York 13210

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Phys. Rev. D 4, 259 – Published 1 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.259

Abstract

From analysis of the inelastic $e - p$ scattering data it is found that an important feature of the parton probability function $P (N)$ is that it should be peaked around some small number of partons. The most probable number of partons is prognosticated to be around 4.5. Contrary to the usually accepted forms of $P (N)$ , where it decreases uniformly from a maximum, we find that the data also allow a behavior of $P (N)$ where it rises to a maximum first and then decreases with increase of $N$ . It is conjectured that there is a connection between this peaking and the observed peaking of the multiplicity distribution in inelastic collisions.

Original Article

Inelastic $e - p$ Scattering Data and a New Parton Model

C. W. Gardiner and D. P. Majumdar

Phys. Rev. D 2, 151 (1970)

References (5)

C. W. Gardiner and D. P. Majumdar, Phys. Rev. D 2, 151 (1970)
J. D. Bjorken and E. A. Paschos, Phys. Rev. 185, 1975 (1969)
E. D. Bloom et al., Phys. Rev. Letters 23, 930 (1969) M. Breidenbach, Ph. D. thesis, MIT, 1970 (unpublished)
J. W. Elbert et al., Nucl. Phys. B19, 85 (1969)
L. W. Jones et al., Phys. Rev. Letters 25, 1679 (1970) ibid.26, 213(E) (1971)

[c1] C. W. Gardiner and D. P. Majumdar, Phys. Rev. D 2, 151 (1970)

[c2] J. D. Bjorken and E. A. Paschos, Phys. Rev. 185, 1975 (1969)

[c3] E. D. Bloom et al., Phys. Rev. Letters 23, 930 (1969) M. Breidenbach, Ph. D. thesis, MIT, 1970 (unpublished)

[c4] J. W. Elbert et al., Nucl. Phys. B19, 85 (1969)

[c5] L. W. Jones et al., Phys. Rev. Letters 25, 1679 (1970) ibid.26, 213(E) (1971)

Physical Review D

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Note on the Most Probable Number of Partons in Parton Models

Abstract

Original Article

Inelastic $e - p$ Scattering Data and a New Parton Model

References (5)

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Note on the Most Probable Number of Partons in Parton Models

Abstract

Original Article

Inelastic e−p Scattering Data and a New Parton Model

References (5)

Inelastic $e - p$ Scattering Data and a New Parton Model