This study presents a comprehensive quantum mechanical model of deuteron states, focusing on both bound and excited states. The deuteron, as the simplest nucleus comprising a proton and a neutron, provides a fundamental testbed for nuclear interaction theories. By employing advanced computational techniques and potential models, we investigate the binding energy, wave functions, and spatial configurations of the deuteron. Key aspects of our approach include the use of realistic nucleon-nucleon interaction potentials, such as the Argonne V18 and CD-Bonn models, and the implementation of the Schrödinger equation to solve for the energy eigenstates. Additionally, we explore the influence of different potential models on the deuteron's properties and compare our results with experimental data. The findings offer valuable insights into the nature of nuclear forces and contribute to the broader understanding of quantum chromodynamics in nuclear systems. This work not only enhances our theoretical knowledge but also provides a robust framework for future studies on more complex nuclear systems.

Deuteron, Quantum Mechanics, Nuclear Interaction

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