arXiv subjects

Lilin Zhu

Publications and source records attributed to Lilin Zhu.

At least 19 recordsLinked to original sources

arXiv2026

Hadronization of $Λ_c^+$ baryons from recombination model in Pb+Pb collisions at the Large Hadron Collider

The production of $Λ_c^+$ baryons in Pb+Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV is investigated within the quark recombination framework, including the energy loss of light and charm quarks inside the hot and dense medium. The model simultaneously describes the transverse momentum ($p_T$) spectra of $Λ_c^+$ baryons, $Λ_c^+/D^0$ yield ratio, which is attributed to the dominance of quark recombination mechanism in the Quark-Gluon Plasma (QGP), and the second harmonic coefficient of $Λ_c^+$ baryons with emphasis on the effects of minijets on the azimuthal anisotropy. Furthermore, we extend the theoretical calculation to Pb+Pb collisions at $\sqrt{s_{NN}} =2.76$ TeV and make predictions for $Λ_c^+$ baryons and $Λ_c^+/D^0$ yield ratio. The simultaneous description of the yield, baryon-to-meson ratio, and azimuthal anisotropy further validates that the recombination model is an effective hadronization mechanism in heavy-ion collisions.

hep-ph↗

arXiv2025

Spectra and azimuthal harmonic of charmed mesons in Pb+Pb collisions at LHC energies

Using the recombination model (RM) extended to the heavy flavor scenario, we investigate the production of charmed mesons, i.e., $D^0$, $D_s^+$ and $J/ψ$, in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ and 5.02 TeV at the CERN Large Hadron Collider (LHC) including the heavy flavor energy loss inside the hot and dense medium. Soft, semihard, and hard partons all play important roles in our model and are uniformly treated for all mesons produced. The resulting transverse momentum spectra and the second azimuthal harmonic $v_2$ for these mesons are presented and compared with the available experimental data. The good agreement provides strong support again that the quark recombination mechanism is a universal scheme of hadronization.

hep-ph↗

arXiv2023

Universal Energy Dependence of Measured Temperatures for Baryons Produced in Heavy-ion Collisions

From the data on baryon production in heavy-ion collisions it is shown that a set of measurable functions exist, one for each baryon type, that depend exponentially on transverse momenta up to the maximum values detected for all collision energies ranging from the low end of RHIC BES to the high end of CERN LHC. The implied temperatures satisfy a scaling law in collision energy with a universal exponent for all baryon types which is the novel discovery. A self-similar thermal source is implied. Furthermore, it is shown how the scaling behavior depends on centralities. Those features in the data are related to simple properties of light and strange quarks by use of the recombination model. Prediction of $ϕ$ meson production is made and then verified by existing data.

hep-ph↗

arXiv2021

Centrality and transverse momentum dependence of hadrons in Pb+Pb collisions at LHC

The transverse momentum spectra of seven identified hadrons produced in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ and 5.02 TeV at the CERN Large Hadron Collider (LHC) have been investigated in the framework of the recombination model (RM). Soft, semihard and hard partons all play important roles in our model and are uniformly treated for all hadrons produced.The investigation has been extended to non-central collisions and the parameters controlling the momentum degradation of semihard partons have been tuned. Our study shows good agreement between theoretical results and experimental data. To be able to provide a coherent explanation for the production of all identified hadrons ($π$, p, K, $Λ$, $ϕ$, $Ξ$, $Ω$) for transverse momenta as high as 14 GeV/c (for $π$, p and K), and for all centralities, is an unprecedented achievement that supports the RM as a sensible model to combine various mechanisms of parton production with a universal scheme of hadronization.

hep-ph↗

arXiv2020

Investigating student understanding of heat engine: a case study of Stirling engine

We report on the study of student difficulties regarding heat engine in the context of Stirling cycle within upper-division undergraduate thermal physics course. An in-class test about a Stirling engine with a regenerator was taken by three classes, and the students were asked to perform one of the most basic activities---calculate the efficiency of the heat engine. Our data suggest that quite a few students have not developed a robust conceptual understanding of basic engineering knowledge of the heat engine, including the function of the regenerator and the influence of piston movements on the heat and work involved in the engine. Most notably, although the science error ratios of the three classes were similar ($\sim$10\%), the engineering error ratios of the three classes were high (above 50\%), and the class that was given a simple tutorial of engineering knowledge of heat engine exhibited significantly smaller engineering error ratio by about 20\% than the other two classes. In addition, both the written answers and post-test interviews show that most of the students can only associate Carnot's theorem with Carnot cycle, but not with other reversible cycles working between two heat reservoirs, probably because no enough cycles except Carnot cycle were covered in the traditional Thermodynamics textbook. Our results suggest that both scientific and engineering knowledge are important and should be included in instructional approaches, especially in the Thermodynamics course taught in the countries and regions with a tradition of not paying much attention to experimental education or engineering training.

physics.ed-ph↗

arXiv2019

A unified study of the production of all identified hadrons over wide ranges of transverse momenta at LHC

The production of all identified hadrons at the CERN Large Hadron Collider (LHC) is studied with emphasis on the $p_T$ distributions up to 20 GeV/c in central collisions at $\sqrt{s_{NN}}=2.76$ TeV. The parton recombination model is used to determine the hadronic \ppt\ spectra from the quark \dis s. From the heavy hyperon spectra it is known from earlier studies that the $u, d, s$ thermal \dis s in \ppt\ are exponential with large inverse slopes that cannot be identified with any temperature in conventional fluid models. They are used as inputs in our model together with shower partons determined from our treatment of momentum degradation that uses high-\ppt\ pion data as input. Those thermal and shower partons are used to calculate the $p_T$ \dis s of all observed hadrons ($π, K, p, Λ$, $Ξ$, $Ω$ and $ϕ$) over wide ranges of \ppt, so the system is highly constrained. We show how well the LHC data can be reproduced with only a few parameters to adjust. Centrality dependence has not been studied. What is learned is that minijets are important, not only in giving rise to abundant shower partons, but also in the conversion of semihard partons in the medium to soft partons that enhance the thermal partons. Since the conversion process can occur throughout the expansion phase of the high-density medium, this work provides the basis for questioning the validity of the assumption of rapid equilibration.

nucl-th↗

arXiv2019

Systematic investigation of the particle spectra in Heavy-ion collisions at the Large Hadron Collider

We investigate the charged particle spectra produced in the heavy-ion collisions at nine centralities from different systems, i.e., Pb+Pb at $\sqrt{s_{NN}}=2.76$ TeV and 5.02 TeV as well as Xe+Xe at $\sqrt{s_{NN}}=5.44$ TeV, at Large Hadron Collider (LHC) using one empirical formula inspired by the solution of the Fokker-Planck equation, dubbed as the generalized Fokker-Planck solution (GFPS). Our results show that the GFPS can reproduce the experimental particle spectrum up to transverse momentum $p_T$ about 45 GeV/c with the maximum discrepancy 30\% covering 10 orders of magnitude. The discrepancy between the data and the results from the GFPS decreases to 15\% when the maximum of the charged particle transverse momentum is cut to 20 GeV/c. We confirmed that the Tsallis distribution derived from the non-extensive statistics, which can reproduce the particle spectra produced in small collision systems, such as p+p, up to few hundreds GeV/c, can only apply to systematically study the particle spectra up to 8 GeV/c in A+A collisions at LHC, as pointed out in the study of identified particle spectra in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV. The possible explanation why GFPS functions well is also discussed.

nucl-th↗

arXiv2018

Centrality and Transverse momentum dependencies of Hadrons in Xe+Xe collisions at $\sqrt{s_{NN}}=5.44$ TeV from a multi-phase transport model

In this paper, we study and predict the charged-particle pseudorapidity multiplicity density ($\frac{dN_{ch}}{dη}$), transverse momentum spectra of identified particles and their ratios in relativistic heavy ion collisions at the Large Hadron Collider (LHC), using the string-melting version of a multi-phase transport (AMPT) model with improved quark coalescence method. Results of the charged-particle pseudorapidity multiplicity density from AMPT model calculations for Pb+Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV are compared with the experimental data. Good agreements are generally found between theoretical calculations and experimental data. We predict $\frac{dN_{ch}}{dη}$ for Xe+Xe collisions at $\sqrt{s_{NN}}=5.44$ TeV at different centralities, and $p_T$ spectra of charged pions, kaons and protons, and their ratios $K/π$ and $p/π$ in Pb+Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV and Xe+Xe collisions at $\sqrt{s_{NN}}=5.44$ TeV that are being studied at LHC. The $p_T$ spectra of identified particles in Pb+Pb collisions from the improved AMPT model are compared and found to be consistent with results from the iEBE-VISHNU hybrid model with TRENTo initial condition.

hep-ph↗

arXiv2018

Spectra and flow of light nuclei in relativistic heavy ion collisions at RHIC and the LHC

Within the framework of the coalescence model based on the phase-space distributions of protons and neutrons generated from the {\tt iEBE-VISHNU} hybrid model with {\tt AMPT} initial conditions, we study the spectra and elliptic flow of deuterons and helium-3 in relativistic heavy ion collisions at the Relativistic Heavy Ion Collider (RHIC) and the Larger Hadron Collider (LHC). Results from our model calculations for Au + Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC and Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV at the LHC are compared with available experimental data. Good agreements are generally seen between theoretical results and experimental data, except that the calculated yield of helium-3 in Pb + Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV underestimates the data by about a factor of two. Possible reasons for these discrepancies are discussed. We also make predictions on the spectra and elliptic flow of deuterons and helium-3 in Pb + Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV that are being studied at LHC.

nucl-th↗

arXiv2018

Universal Formula for Baryon Spectra in Heavy-ion Collisions and its Implications

In an unconventional presentation of the data on the transverse momentum spectra of baryons produced in heavy-ion collisions, regularities are found that make possible the discovery of a universal formula valid for $p, Λ, Ξ$ and $Ω$. The formula describes the baryon distributions over wide ranges of $p_T (0.5 \ ^<_\sim\ p_T \ ^<_\sim\ 5$ GeV/c) for $0.06 \ ^<_\sim\ \sqrt {s_{NN}} \ ^<_\sim\ 3$ TeV, except for very peripheral collisions. Some aspects of their empirical properties are derived in the recombination model, resulting in a revelation of some features of the light and strange quark distributions before hadronization. Interpretation of the inverse slopes of their exponential behavior leads to an implication that cannot accommodate the conventional description of fluid flow. This is mainly a study of phenomenology without detailed model input.

nucl-ex↗

arXiv2017

Light nuclei production in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV

Using the coalescence model based on the phase-space distribution of nucleons from an extended blast-wave model that includes the space-momentum correlation of high momentum nucleons, we study the transverse momentum spectra and elliptic flows of deuteron and helium-3 in Pb+Pb collisions at the energy $\sqrt{s_{NN}}=2.76$ TeV. We find that the measured elliptic flows of deuteron can be satisfactorily described if nucleons of large transverse momenta are more spread in space when their momenta are more aligned along the reaction plane.

nucl-th↗

arXiv2017

Elliptic flows of light nuclei

Using the coalescence model based on nucleons from a blast-wave model with its parameters fitted to the measured proton transverse momentum spectrum and elliptic flow in heavy ion collisions at the Relativistic Heavy Ion Collider, we study the elliptic flows of light nuclei in these collisions. We find that to describe the measured elliptic flows of deuterons (anti-deuterons) and tritons (helium-3) requires that the emission source for nucleons of high transverse momentum is more elongated along the reaction plane than in the perpendicular direction. Our results thus suggest that the elliptic flows of light nuclei can be used to study the nucleon emission source in relativistic heavy ion collisions.

nucl-th↗

arXiv2017

A new two-component model for hadron production in heavy-ion collisions

Using the experimental data from the ALICE program on the centrality dependence of the transverse momentum ($p_T$) spectra in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV, we show that the double-Tsallis distribution and the generalized Fokker-Plank (FP) solution can not describe the spectra of pions, kaons and protons from central to peripheral collisions in the entire $p_T$ region, simultaneously. Hence, a new two-component distribution, which is a hydrodynamic extension of the generalized FP solution accounting for the collective motion effect in heavy-ion collisions, is proposed in order to reproduce all the particle spectra. Our results suggest that the particle production dynamics may be different for different particles, especially at very low $p_T$ region.

nucl-th↗

arXiv2016

Phenomenological Implications of the $p_T$ Spectra of $ϕ$ and $Ω$ produced at LHC and RHIC

The data on the $p_T$ spectra of $ϕ$ and $Ω$ at LHC can be presented in a format that shows exponential behavior up to $p_T\approx 6$ GeV/c with the same slope for both particles and for nearly all centralities. They are empirical properties that are shared at lower energies with the inverse slope showing a power-law dependence on $\sqrt{s_{NN}}$. The shared properties of the spectra are shown to emerge naturally from the recombination model. No flow is needed. We find experimental hints for the possibility that $ϕ$ and $Ω$ are mostly produced in the ridge that are generated by minijets. Appropriate experimental test is suggested.

nucl-ex↗

arXiv2016

The effect of minijet on hadron spectra and azimuthal anisotropy in heavy-ion collisions

Here I review the transverse momentum distributions of identified hadrons produced in Au-Au collisions at RHIC and Pb-Pb collisions at LHC in the framework of recombination model. Minijets play an important role in generating shower partons in the intermediate $p_T$ region. At LHC, the resultant soft shower partons are even found to dominate over the thermal partons in the non-strange sector. The azimuthal anisotropy of the produced hadrons could also be explained as the consequence of the effects of minijets. Harmonic analysis of the $ϕ$ dependence leads to $v_n(p_T, b)$ that can be well produced without reference to flow.

nucl-th↗

arXiv2015

Comparing the Tsallis distribution with and without thermodynamical description in p+p collisions

We compare two types of Tsallis distribution, i.e., with and without thermodynamical description, using the experimental data from the STAR, PHENIX, ALICE and CMS Collaborations on the rapidity and energy dependence of the transverse momentum spectra in p+p collisions. Both of them can give us the similar fitting power to the particle spectra. We show that the Tsallis distribution with thermodynamical description gives lower temperatures than the ones without it. The extra factor $m_T$ (transverse mass) in the Tsallis distribution with thermodynamical description plays an important role in the discrepancies between the two types of Tsallis distribution. But for the heavy particles, the choice to use the $m_T$ or $E_T$ (transverse energy) in the Tsallis distribution becomes more crucial.

nucl-th↗

arXiv2015

Light (anti-)nuclei production and flow in relativistic heavy-ion collisions

Using the coalescence model based on the phase-space distributions of protons, neutrons, Lambdas and their antiparticles from a multiphase transport (AMPT) model, we study the production of deuteron, triton, helium 3, hypertriton, hyperhelium 3 and their antinuclei in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV. The resulting transverse momentum spectra, elliptic flows and coalescence parameters for these nuclei are presented and compared with available experimental data. We also show the constituent number scaled elliptic flows of these nuclei and discuss their implications.

nucl-th↗

arXiv2015

Systematic analysis of hadron spectra in p+p collisions using Tsallis distribution

Using the experimental data from the STAR, PHENIX, ALICE and CMS programs on the rapidity and energy dependence of the $p_T$ spectra in p+p collisions, we show that a universal distribution exists. The energy dependence of temperature $T$ and parameter $n$ of the Tsallis distribution are also discussed in detail. A cascade particle production mechanism in p+p collisions is proposed.

nucl-th↗