In inelastic \(p+p\) collisions, the interacting objects are quarks and gluons (partons). It is believed that there are multiple interactions between the partons in a single \(p+p\) event. Recent studies of multiplicity dependence of particle production in \(p+p\) collisions have gathered considerable interest in the scientific community. According to several theoretical calculations, multiple gluon participation in hadronic collisions is the cause of high-multiplicity events. If the interaction is hard enough (large \(p_{\mathrm{T}}\) transfer), the semi-hard processes of multiple interactions of partons might also lead to the production of heavy particles like J/\(\psi \). At the LHC, an approximately linear increase of the relative J/\(\psi \) yield with charged particle multiplicity is observed in \(p+p\) collisions. In the present work, we have studied the contribution of quarks and gluons to the multiplicity dependence of J/\(\psi \) production using pQCD inspired event generator, PYTHIA8 tune 4C, in \(p+p\) collisions at \(\sqrt{s} =\)13 TeV by investigating relative J/\(\psi \) yield and relative \(\langle p_{\mathrm{T}} \rangle \) of J/\(\psi \) as a function of charged particle multiplicity for different hard-QCD processes. We have estimated a newly defined ratio, \(r_{pp} = {\langle p_{\mathrm{T}}^{2} \rangle }_{i}/{\langle p_{\mathrm{T}}^{2} \rangle }_{\mathrm{MB}}\), to gain understanding of J/\(\psi \) production in high-multiplicity \(p+p\) collisions. For the first time we attempt to study the nuclear modification factor-like observables (\(R_{\mathrm{pp}}\) and \(R_{\mathrm{cp}}\)) to describe the QCD medium formed in high-multiplicity \(p+p\) collisions.

中文翻译：

---

在$$ \ sqrt {s} $$ s = 13 TeV的$$ p + p $$ p + p冲突中J / $$ \ psi $$ψ产生和QCD动力学的多重依赖

在非弹性\（p + p \）碰撞中，相互作用的对象是夸克和胶子（部分）。相信单个\（p + p \）事件中各部分之间存在多种交互。对\（p + p \）碰撞中粒子产生的多重性依赖性的最新研究在科学界引起了相当大的兴趣。根据一些理论计算，强子碰撞中多胶子参与是高多重性事件的原因。如果相互作用足够困难（较大的\（p _ {\ mathrm {T}} \）传递），则部分子的多次相互作用的半硬过程也可能导致产生重粒子，例如J / \（\ psi \ ）。在LHC上，在\（p + p \）碰撞中观察到相对J / \（\ psi \）产量随带电粒子多重性近似线性增加。在目前的工作中，我们已经研究了夸克和胶子至J的多重性依赖性的贡献/ \（\ PSI \）生产中使用微扰QCD激发事件发生器，PYTHIA8调4C所示，在\（P + P \）在碰撞\（ \ SQRT {S} = \） 13 TeV的通过调查相对焦耳/ \（\ PSI \）产率和相对\（\ langle p 450 {\ mathrm【T}} \ rangle \）的J / \（\ PSI \）作为不同的硬QCD过程的带电粒子多重性函数。我们估计了一个新定义的比率，\（r_ {pp} = {\ langle p _ {\ mathrm {T}} ^ {2} \ rangle} _ {i} / {\ langle p _ {\ mathrm {T}} ^ {2} \ rangle __ { \ mathrm {MB}} \），以了解高多重\（p + p \）冲突中的J / \（\ psi \）产生。我们第一次尝试研究类似核修饰因子的可观察物（\（R _ {\ mathrm {pp}} \）和\（R _ {\ mathrm {cp}} \））来描述以高浓度形成的QCD介质。 -multiplicity \（p + p \）冲突。