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Wireless Sensor Network (WSN) is a network of tiny wireless sensor nodes. The sensor nodes sense information and transmit the sensed information to a data collection point known as Base Station. WSNs have gained massive popularity due to their incredible benefits, and active research is ongoing for the past two decades. The primary concern with WSN is that the sensor operates on a limited power supply. Due to the nature of applications of WSNs and the hostile environment where the sensors are deployed, providing unlimited power or energy supply is not an option. Hence, the research work mainly focuses on energy efficiency and network life prolongation so that WSN can operate for a longer duration. Design and development of energy-efficient routing protocols is an active research field undertaken in WSNs. Low-Energy Adaptive Clustering Hierarchy Protocol (LEACH) is one of the most cited and referred cluster-based routing protocol in the field of WSN. Many research articles showcase novel methods to improve LEACH protocol's performance, and Particle Swarm Optimization (PSO), a widespread nature-inspired optimization technique, has been extensively applied to improve LEACH. This bibliometric research article aims to know the pattern of PSO techniques used in LEACH improvement and understand the relationships among researchers, authors, published documents, sources, keywords, funding agencies, etc. This article has projected a detailed bibliometric analysis of PSO techniques for LEACH protocol by querying the Scopus Database. The data collected is articulated in subject areas, top authors and sources of documents, co-citation analysis, keyword co-occurrence analysis, etc. For conducting the bibliometric analysis, some well-known tools such as ScienceScape and VosViewer are utilized. The study revealed that there are opportunities to extend the research work in WSN and cluster-based routing methods.