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Abstract
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Exotic interstellar polyatomic 𝑯𝟑 + is the simplest polyatomic bound state [1]. It exists in various interstellar environments, near the Galactic center, especially close to the star-forming regions that exhibit a significant presence of extensive and dispersed warm gas where exotic contributes to the interactions and dynamics of the medium with temperatures on the order of a few hundred to a few thousand Kelvin. This exotic bound state plays a crucial role in astrophysics, spectroscopy and observational astronomy, molecular cloud dynamics, chemical processes, and physics of the interstellar medium. By studying the mass spectrum and energy eigenvalues of exotic 𝑯𝟑 +, for the ground and orbit excited states under the relativistic conditions and quantum field theory principles, we can gain insights into the physical and chemical properties of interstellar regions, due to provide valuable information about the conditions and processes occurring in the spaces between stars, planetary systems and hot mediums. In this theoretical research, we explain the analytic method for determination of the mass spectrum of the exotic interstellar polyatomic 𝑯𝟑 + as a bounded system under the strong Coulombic field within the relativistic corrections on the mass of bounded particles. Exotic 𝑯𝟑 +, is a simple composed of the specific form of two hydrogen atoms and one hydrogen cation named tri-hydrogen cation. It is formed when a hydrogen atom loses one electron, resulting in a positively charged ion, and consists of three protons and two shared electrons. This exotic bound state is an example of a triatomic ion state and is the simplest polyatomic ion, while we can present interstellar 𝑯𝟑 + due to the main cores (i.e., proton) as a semi-hadronic- molecular bound state system. As we know, the mass spectrum of the bound state 𝑯𝟑 + can be determined with good precision in the framework of nonrelativistic conditions when a good selection of the potential is made. However, the nonrelativistic Schrödinger equation which gives a mathematically correct description of 𝑯𝟑 + is rare sufficient for the description of new astrophysical observations and data obtained in exotic particle physics, hence it is necessary to include the relativistic correction on the properties and behavior of interstellar 𝑯𝟑 +
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