https://doi.org/10.1140/epjp/s13360-022-02546-5
Regular Article
The noncommutative parameter for 
in nonrelativistic limit
Department of Physics, Faculty of Science, Ilam University, Ilam, Iran
Received:
29
November
2021
Accepted:
28
February
2022
Published online:
11
March
2022
We have used a nonrelativistic model to obtain the energy shift of low lying states of charmonium with Cornell, and Killingbeck potentials on noncommutative space. Hence, first, we calculated the energy by using the Killingbeck potential of the ground state and Cornell potential of excited states in noncommutative space. With the use of the trial wave function for low lying states, we found the results are proportional to the two-degree function of the noncommutative (NC) parameter. By comparing the results with experimental hyperfine splitting for 
, the amount of NC parameter is obtained. It is shown that, at the lowest order of perturbation, the ground state acquires an energy shift which is proportional to the square of the noncommutative length scale.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
