### Abstract

We extend the McLerran-Venugopalan model for the gluon distribution functions of very large nuclei to larger values of the longitudinal momentum fraction (Formula presented) Because gluons with larger values of (Formula presented) begin to resolve the longitudinal structure of the nucleus, we find that it is necessary to set up a fully three-dimensional formalism for performing the calculation. We obtain a relatively compact expression for the gluon number density provided that the nucleus is sufficiently large and consists of color-neutral nucleons. Our expressions for the gluon number density saturate at small transverse momenta. The nuclear dependence we obtain is such that the number of gluons increases more slowly than the number of nucleons as the size of the nucleus is increased.

Original language | English (US) |
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Number of pages | 1 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 62 |

Issue number | 11 |

DOIs | |

State | Published - Jan 1 2000 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

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**Longitudinal resolution in a large relativistic nucleus : Adding a dimension to the McLerran-Venugopalan model.** / Lam, C. S.; Mahlon, Gregory.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Longitudinal resolution in a large relativistic nucleus

T2 - Adding a dimension to the McLerran-Venugopalan model

AU - Lam, C. S.

AU - Mahlon, Gregory

PY - 2000/1/1

Y1 - 2000/1/1

N2 - We extend the McLerran-Venugopalan model for the gluon distribution functions of very large nuclei to larger values of the longitudinal momentum fraction (Formula presented) Because gluons with larger values of (Formula presented) begin to resolve the longitudinal structure of the nucleus, we find that it is necessary to set up a fully three-dimensional formalism for performing the calculation. We obtain a relatively compact expression for the gluon number density provided that the nucleus is sufficiently large and consists of color-neutral nucleons. Our expressions for the gluon number density saturate at small transverse momenta. The nuclear dependence we obtain is such that the number of gluons increases more slowly than the number of nucleons as the size of the nucleus is increased.

AB - We extend the McLerran-Venugopalan model for the gluon distribution functions of very large nuclei to larger values of the longitudinal momentum fraction (Formula presented) Because gluons with larger values of (Formula presented) begin to resolve the longitudinal structure of the nucleus, we find that it is necessary to set up a fully three-dimensional formalism for performing the calculation. We obtain a relatively compact expression for the gluon number density provided that the nucleus is sufficiently large and consists of color-neutral nucleons. Our expressions for the gluon number density saturate at small transverse momenta. The nuclear dependence we obtain is such that the number of gluons increases more slowly than the number of nucleons as the size of the nucleus is increased.

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U2 - 10.1103/PhysRevD.62.114023

DO - 10.1103/PhysRevD.62.114023

M3 - Article

AN - SCOPUS:85037242481

VL - 62

JO - Physical Review D

JF - Physical Review D

SN - 0556-2821

IS - 11

ER -