arXiv:1001.3146·v1·High Energy Physics — Phenomenology

Nuclear dependence of azimuthal asymmetry in semi-inclusive deep inelastic scattering

Jian-Hua Gao🇨🇳 · Zuo-tang Liang🇨🇳 · Xin-Nian Wang🇺🇸

Abstract

Within the framework of a generalized factorization, semi-inclusive deeply inelastic scattering (SIDIS) cross sections can be expressed as a series of products of collinear hard parts and transverse-momentum-dependent (TMD) parton distributions and correlations. The azimuthal asymmetry <cos\phi> $o f u n p o l a r i z e d S I D I S in t h es ma l l t r an s v er se m o m e n t u m r e g i o n w i l l d e p e n d o nb o t h tw i s t - 2 an d 3 T M D q u a r k d i s t r ib u t i o n s in t a r g e t n u c l eo n sor n u c l e i . N u c l e a r b r o a d e nin g o f t h ese tw i s t - 2 an d 3 q u a r k d i s t r ib u t i o n s d u e t o f ina l - s t a t e m u l t i pl esc a tt er in g inn u c l e ii s in v es t i g a t e d an d t h e n u c l e a r d e p e n d e n ceo f t h e a z im u t ha l a sy mm e t r y$ <\cos\phi>$ is studied. It is shown that the azimuthal asymmetry is suppressed by multiple parton scattering and the transverse momentum dependence of the suppression depends on the relative shape of the twist-2 and 3 quark distributions in the nucleon. A Gaussian ansatz for TMD twist-2 and 3 quark distributions in nucleon is used to demonstrate the nuclear dependence of the azimuthal asymmetry and to estimate the smearing effect due to fragmentation.

Comments: 9 pages in RevTex with 2 figures

Nuclear dependence of azimuthal asymmetry in semi-inclusive deep inelastic scattering

Abstract

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