  An approximate bound state solution of the Klein-Gordon equation is derive
analytically for the 3-dimensional space with a combination framework of linear
plus modified Yukawa Potential (LIMYP) using the Nikiforov-Uvarov (N-U) method
for obtaining the energy eigenvalues and corresponding wave function. A
detailed study of mass spectra of all combination sets of heavy-light flavor
mesons vis-a-vis $(Ks/Kq; K= C, B)$ is investigated by treating both
heavy-light flavor mesons non-relativistic with an effective quark-antiquark
interaction potential for different quantum states. Along with that, an
elucidated graphical representation is scrutinized with the calculated mass
spectra obtained from the energy eigenvalue against the corresponding variables
for all the combination sets of heavy-light flavors mesons. Therefore, the
current framework potential provides excellent reconciliation with the
experimental data of states known to date and minuscule \% difference in lower
quantum states, which increases with higher quantum states that can be
correlated with the higher screening factor coming into the account.

High Energy Physics - Phenomenology