Penetration of a high energy QQbar bound state through SU(N) color background

Details Penetration of a high energy QQbar bound state through SU(N) color background Penetration of a high energy QQbar bound state through SU(N) color background

2002-05-24

arxiv.org/abs/nucl-th/0205066v1

Nucl.Phys. A709 (2002) 236-250

Physics

Nuclear Physics

Nuclear Theory

8 pages, 2 figures

Scientific paper

10.1016/S0375-9474(02)01072-2

Attenuation of the singlet quark--anti-quark bound state passing through a random external SU(N) color field at high energy is studied within the eikonal framework as a model for the absorption of a quarkonium by nuclear target. For a thick target of length L the penetration probability is suppressed non-exponentially and behaves asymptotically $\propto 1/LN^2$ with 1/N^2 indicating the equi-partitioning in the color space. An approximate rational expression for the penetration of the small Gaussian bound state is found which allows the explicit L and N dependences, and shows the attenuation is in the powers of L although the approach to the asymptote is rather slow.

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