Revealing Medium Effects on Jet Hadronization with Hybrid Simulations

cover
22 Apr 2025

Authors:

(1) Cameron Parker, Cyclotron Institute, Texas A&M University and Department of Physics and Astronomy, Texas A&M University (E-mail: cameron.parker@tamu.edu);

(2) JETSCAPE Collaboration.

Abstract and 1. Introduction

2. Vacuum Systems

3. Medium Effects

4. Conclusion and References

3. Medium Effects

In this section we use a simplified event pipeline. Since we are not interested in the entire event, only how the medium affects hadronization, we only examine a single jet in a quark gluon plasma medium. This is done by firing a single parton in the ๐‘ฅ-direction through a medium with a set length and temperatured (a "brick"), showering the parton with MATTER and LBT, and then hadronizing the shower with Hybrid Hadronization. Flow is emulated by adding a set velocity to the thermal partons at the hadronization stage. In the following, longitudinal is defined as in the direction of the jet (๐‘ฅ) and transverse is perpendicular to the jet.

We first examine the effects of the presence of thermal partons during hadronization. We plot the proton-to-pion ratio as a function of hadron momentum ๐‘๐‘ฅ for a variety of different brick lengths from 0 (vacuum) to 8 fm. A large proton-to-pion ratio is known as a signature of quark

Figure 3: Proton to pion ratios for a jet in bricks of various lengths without flow (left panel) versus with flow (right panel). We see an enhancement in proton production in larger bricks. Flow in the direction of the jet pushes the proton peak to higher ๐‘๐‘‡.

Figure 4: Transverse momentum scatter plot of soft hadrons with no flow (left panel) versus transverse flow (right panel) in the brick. Soft hadrons are noticeably deflected in the direction of the flow due to partons from the medium recombining with shower partons.

recombination in hadronization. As shown in the left panel of Fig. 3, the proton-to-pion ratio around 1 GeV indeed increases in magnitude as the brick increases in size. This is consistent with the idea that recombination with thermal partons increases in a larger medium.

When a homogenous longitudinal flow in jet direction is added, the peaks in the proton-to-pion ratios grow and are shifted to 2-2.5 GeV. This can be understood by flowing thermal partons adding more momentum to the hadrons they recombine into. Similar effects can be seen in the ฮ›-to-๐พ ratio, not shown here.

We then examine the effects of transverse flow of brick partons. We scatter plot the components of the momentum perpendicular to the jet (๐‘๐‘ฆ and ๐‘๐‘ง) for each hadron to showcase the effects of the flow. Soft hadrons, defined as 2 GeV < ๐‘๐‘ฅ < 10 GeV, demonstrate a significant deflection in the direction of the flow as shown in Fig. 4. On the other hand, leading hadrons demonstrate no noticeable deflection. This is consistent with expectation. Leading partons are distant from thermal partons in phase space, and therefore have a negligible chance to recombine with them.

4. Conclusion

Our study of medium effects in jet hadronization is similarly promising. Using a brick with flow we reproduce all the expected effects, including baryon enhancement increasing with medium size, a shift of the baryon/meson peak in momentum with longitudinal flow, and sideways deflection of soft hadrons with transverse flow. We intend to progress on to heavy flavor jets and simulations of jets in full ๐ด + ๐ด collisions.

This work was supported by the U.S. National Science Foundation under awards 1812431 and 2111568, and under award 2004571 through a subcontract with Wayne State University.

References

[1] A. Kumar, et al. Phys. Rev. C 102, no.5, 054906 (2020), doi:10.1103/PhysRevC.102.054906, [arXiv:1910.05481 [nucl-th]].

[2] K. C. Han, R. J. Fries and C. M. Ko, Phys. Rev. C 93, no.4, 045207 (2016), doi:10.1103/PhysRevC.93.045207, [arXiv:1601.00708 [nucl-th]].

[3] R. J. Fries and M. Kordell, PoS HardProbes2018, 046 (2019) doi:10.22323/1.345.0046 [arXiv:1901.08157 [nucl-th]].

[4] R. J. Fries, B. Mรผller, C. Nonaka and S. A. Bass, Phys. Rev. Lett. 90, 202303 (2003), doi:10.1103/PhysRevLett.90.202303, [arXiv:nucl-th/0301087 [nucl-th]].

[5] R. J. Fries, B. Mรผller, C. Nonaka and S. A. Bass, Phys. Rev. C 68, 044902 (2003), doi:10.1103/PhysRevC.68.044902, [arXiv:nucl-th/0306027 [nucl-th]].

[6] B. Andersson, G. Gustafson, G. Ingelman and T. Sjostrand, Phys. Rept. 97, 31-145 (1983), doi:10.1016/0370-1573(83)90080-7.

[7] C. Bierlich, S. Chakraborty, N. Desai, L. Gellersen, I. Helenius, P. Ilten, L. Lรถnnblad, S. Mrenna, S. Prestel and C. T. Preuss, et al., doi:10.21468/SciPostPhysCodeb.8, [arXiv:2203.11601 [hep-ph]].

[8] A. Majumder, Phys. Rev. C 88, 014909 (2013), doi:10.1103/PhysRevC.88.014909, [arXiv:1301.5323 [nucl-th]].

[9] S. Cao and A. Majumder , Phys. Rev. C 101, no.2, 024903 (2020), doi:10.1103/PhysRevC.101.024903, [arXiv:1712.10055 [nucl-th]].

[10] V. Khachatryan, et al., Phys. Rev. C 96, no.1, 015202 (2017), doi:10.1103/PhysRevC.96.015202, [arXiv:1609.05383 [nucl-ex]].

[11] The CMS Collaboration, S. Chatrchyan, V. Khachatryan, et al., Eur. Phys. J. C 72, 1945 (2012), doi:10.1140/epjc/s10052-012-1945-x, [arXiv:1202.2554 [nucl-ex]].

[12] PHENIX Collaboration, A. Adare, et al., Phys. Rev. D 76, no.5, 051106 (2007), doi:10.1103/physrevd.76.051106, [arXiv:0704.3599 [hep-ex]].

This paper is available on arxiv under CC BY 4.0 DEED license.