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Abstract
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In quantum field theory and particle physics, nonperturbative relativistic corrections to the interaction Hamiltonian are important and interesting for studying hadronic bound states in high-energy physics. Improving the capabilities of hadronic accelerators compels us to consider nonperturbative relativistic effects on the interaction potential, particularly for bound state mass spectrum calculations. This research is crucial for understanding future developments in particle physics and theoretical studies. Hence, in this theoretical research, we determine the structure of the interaction Hamiltonian and then define nonperturbative relativistic corrections to the interaction potential in bound states using an approximate correction to the lowest order of 𝑣/𝑐. We consolidate the ultra-relativistic limit and explain the interaction form through the summation of an infinite series, obtained from the expansion in powers of 𝑣/𝑐 Our analytical method, based on the specific form of this expansion, provides an additional nonperturbative relativistic correction term in interaction Hamiltonians.
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