Traditionally invariant-mass/transverse-momentum methods were being used to probe various resonance-states in high-energy-collision. Here, we have done scaling analysis by implementing complex-network-based-method (a chaos-based-approach) of visibility-graph to analyze different resonance-states. In the process we use scaling-exponent [power of scale-freeness-of-visibility-graph (PSVG)] calculated from the aforementioned graph. The method is applied to analyze the fractal behavior of pseudo-rapidity-space of the produced dimuons from the events produced in p–p collision at 7 and 8 TeV from CMS collaboration for different ranges of invariant mass of the dimuons. It is found that the fluctuation-pattern of the pseudorapidity-spaces with different ranges of invariant mass has inherent scale-freeness and shows high degree of self-similarity and fractal nature. Moreover, the experiment reveals that the scaling pattern, degree-of-scale-freeness and fractal na ture of the fluctuation differ with different pseodorapidity-space having different ranges of invariant-mass. This change in scaling behavior is reflected in the values of (PSVG) extracted from the corresponding pseudorapidity-space. These different degree of changes in the simple yet rigorous parameter (PSVG) may be indicative of the formation of various resonance-like states(producing di-leptons) and other unusual phenomena. We propose that this method may detect the resonance states in various high energy interactions without using conventional methods of invariant-mass/transverse-momentum techniques and also may detect some unusual phenomena like formation of clusters or structures of cascades etc. This paper reports an application of this method to probe resonance states in p–p collision data at 7 and 8 TeV from CMS by analyzing pseudorapidity-space of the produced dimuons without analyzing their invariant-mass-spectrum.

传统上，不变质量/横向动量方法用于探测高能碰撞中的各种共振状态。在这里，我们通过实现可见度图的基于复杂网络的方法（基于混沌的方法）来分析不同的共振状态，从而完成了缩放分析。在此过程中，我们使用从上述图表计算得出的缩放指数[无标度可见度图（PSVG）的幂]。该方法适用于分析不同范围的不变质子质量，由CMS合作在7和8 TeV的p–p碰撞中产生的事件，分析了所产生的质子的伪快速空间的分形行为。发现具有不同不变质量范围的伪快速空间的波动模式具有固有的无标度，并表现出高度的自相似性和分形性。此外，实验表明，波动的标度模式，标度自由度和分形性质随具有不同质量不变范围的不同伪气味空间而不同。缩放行为的这种变化反映在从相应的伪快速空间提取的（PSVG）值中。简单但严格的参数（PSVG）的这些不同程度的变化可能表明形成了各种类似共振的状态（产生双轻子）和其他异常现象。