Quark-quark double scattering in nuclei with twist expansion approach

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Presentation transcript:

Quark-quark double scattering in nuclei with twist expansion approach Ben-Wei Zhang 1. Texas A&M University, USA 2. Central China Normal University, China Based on the work in collaboration with X.-N. Wang and A. Schaefer

Outline Introduction Modified FF due to quark-quark scattering with twist expansion approach Multiplicity ratios of hadrons in nuclei Summary

Jet quenching has been observed as a new nuclear phenomenon at RHIC hadrons ph parton E Jet quenching has been observed as a new nuclear phenomenon at RHIC X.N. Wang, Nucl.Phys. A750 (2005) 98

Quark-Quark Double Scattering Two kinds of double scattering in eA DIS quark-gluon double scattering quark-quark double scattering X.F. Guo, X.N. Wang, PRL85,3591(2000)

Properties of q-q double scattering Quark-quark double scattering will mix the quark and gluon fragmentation functions; Jet conversion; Quark-quark double scattering may give different modifications to quark FF and anti-quark FF. X.N. Wang and X.F. Guo, NPA 696, 788 (2001) W. Liu, C.M. Ko, B.W. Zhang, nucl-th/0607047 B.W. Zhang, X.N. Wang, A. Schaefer, in preparation

Generalized Factorization Consider a typical quark-quark double scattering process in semi-inclusive eA DIS: J. Qiu,G. Sterman, NPB 353(1991)105; NPB 353(1991)137

Interference effect interference effect

Other processes …… lowest order without radiation

Quark-quark double scattering Single Scattering: leading twist contribution Double Scattering: twist-4 contribution

Modified Fragmenation Function Summing single and double scattering gives We define the modified quark FF as:

Quark-quark correlation function M. Luo, J. Qiu,G. Sterman, PRD 50(1994)1951. J. Osborne and X.N. Wang, NPA 710(2002)281.

Quark and anti-quark FF(I) We get the modification to quark FF as: Similarly we can obtain modification to anti-quark FF.

Quark and anti-quark FF(II) The difference between modified quark FF and modified anti-quark FF:

Multiplicity ratios of hadrons Multiplicity ratio measured at HERMES: HERMES hep-ex/0012049 hep-ex/0307023

Theoretical explanation In the constituent quark model:

Summary Quark-quark scattering is eA DIS are studied with twist expansion approach Modification to quark FF in nuclei is different from the modification to anti-quark FF in nuclei. This difference may explain the multiplicity ratios of hadrons in nuclei observed at HERMES.

Summary (cont.) Quark-quark double scattering can modify fragmentation functions without radiation. Quark-quark double scattering may change the flavor of partons: jet conversion In heavy-ion collisions quark-quark double scattering can not be neglected if quark density is comparable to gluon density in hot nuclear medium.

Thank you! 谢谢！

BACKUP

quark-quark correlation function

Hard partonic part Semi-inclusive hadronic tensor can be given: