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Quark-quark double scattering in nuclei and modified (anti-)quark FF

This research explores the effects of quark-quark double scattering on quark and anti-quark fragmentation functions in high-energy nuclear interactions. It highlights how double scattering modifies fragmentation functions differently for quarks and anti-quarks, impacting the multiplicity ratios of hadrons in colliding nuclei. Findings suggest that these differences can provide insights into observed phenomena in nuclear physics, such as jet quenching at RHIC. The study is a collaborative effort between Texas A&M University and Central China Normal University.

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Quark-quark double scattering in nuclei and modified (anti-)quark FF

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  1. Quark-quark double scattering in nuclei and modified (anti-)quark FF 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

  2. Outline • Introduction • Modified FF due to quark-quark double scattering in nuclei • Multiplicity ratios of hadrons in nuclei • Summary

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

  4. Quark-Quark Double Scattering • Two kinds of double scattering in eA DIS quark-gluon double scattering quark-quark double scattering

  5. Properties of q-q double scattering • Quark-quark double scattering will mix the quark and gluon fragmentation functions. • Quark-quark double scattering may give different modifications to quark FF and anti-quark FF. B.W.Zhang, X.N.Wang, A. Schaefer, in preparation

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

  7. quark-quark correlation function

  8. 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.

  9. LPM effect LPM effect

  10. Other processes lowest order without radiation …… ……

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

  12. Quark-quark correlation function M. Luo,J. Qiu and G. Sterman, PRD50(1994)1951, X.F. Guo and X.N. Wang, PRL85(2000)3591.

  13. Quark and anti-quark FF(I) • We get the modification to quark FF as: • Similarly the modification to anti-quark FF is:

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

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

  16. Theoretical explanation • In the constituent quark model:

  17. Summary • Quark-quark double scattering is eA DIS are studied. • 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.

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

  19. Thank you!

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

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