Calculation of Non-Commutative Effects on Heavy Mesons in the Non-Relativistic Limit

الملخص

    The main topic of this article is to consider effect of non-commutative space in the energy spectrum of heavy meson. We have used a nonrelativistic model to obtain the energy shift of low-lying states of a heavy meson with Cornell, and Killingbeck potentials on non-commutative space. Hence, first, we calculated the energy by using the Killingbeck and Cornell potential of the ground state in non-commutative 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 non-commutative (NC) parameter. NC parameter is obtained by comparing the results with experimental hyperfine splitting for bottom onium. It is shown that, at the lowest order of perturbation, the ground state acquires an energy shift that is proportional to the square of the non-commutative length scale We have calculated the hydrogen atom spectrum on curved noncommutative space defined by the commutation relations.