Topological defects on the <i>q</i>-deformed superstatistics of modified shifted morse potential for carbon monoxide molecule

The application of topological defects to the study of different molecular potential models has been a focus of interest in recent times due to its significant role in shaping the behavior and interactions of molecular systems. In lieu of this, the asymptotic iteration method is employed to obtain the eigensolutions of the Schrödinger equation of the modified shifted Morse potential model with topological defect. Vibrational energies for carbon monoxide have been presented numerically for various topological defects and the results are compared with experimental data. With the help of the energy expression of modified shifted Morse potential, the q-deformed partition function and other superstatistical function expressions of modified shifted Morse potential for carbon monoxide within the modified Dirac delta distribution are obtained, using the Euler–MacLaurin’s formula. For various temperature values considered, the superstatistical plots show a high level of dependence on the topological defect parameter and deformation parameter. The superstatistical functions for a deformation parameter of zero correspond to the conventional thermodynamic functions. Our results also agree with the available results in the literature.