Europhys. Lett, 47 (6), pp. 668-674 (1999)

Relativistic deuteron structure function at large Q²

J. P. Pinto ¹, A. Amorim ¹ and F. D. Santos ¹

¹ Centro de Física Nuclear da Universidade de Lisboa
Av. Gama Pinto 2, 1699 Lisboa, Portugal

(received 21 August 1998; accepted in final form 16 July 1999)

PACS. 25.10 - Nuclear reactions involving few-nucleon systems.
PACS. 24.10Jv - Relativistic models.
PACS. 13.60Hb - Total and inclusive cross-sections (including deep inelastic processes).

Abstract:

The deuteron deep inelastic unpolarized structure function is described using the Wilson operator product expansion method. In the leading twist approximation the convolution model is restored and an explicit formula for the nucleon distribution function in the deuteron is presented, accounting for binding effects in a covariant way. The long distance behavior, related to the deuteron bound state properties, is evaluated using the Bethe-Salpeter equation with one nucleon on-mass-shell. The calculation of the ratio is compared with other convolution models showing important deviations in the region of large x. In part, this deviation can be attributed to deuteron model dependencies.

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