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The energy eigenvalues with the Extended Cornell potential were obtained by analytically solving the radial Schrödinger equation using the Exact Quantization Rule technique (ECP). It was then used for computing the mass spectra of the heavy mesons like charmonium (cc-) and bottomonium (bb-) as well as heavy-light mesons such as bottom-charm bc- and charm-Strange cs- for various quantum states. Two exceptional cases such as the Coulomb and Cornell potentials, were taken into consideration when some of the potential parameters were set to zero. The current potential offers good outcomes when compared to experimental data and work of other researchers with a maximum error of 0.0065 GeV.

The influence of the mass difference between charged and neutral ð -mesons on the low-energy parameters of nucleon-nucleon interaction in the 1S o spin-singlet state is studied. Using the experimental singlet neutron-proton scattering parameters and the experimental value of neutron-neutron virtual-state energy we obtain the following values for the neutron-neutron scattering length and effective range: ann16,59(114) fm, rnn = 2,826(86)fm = . Calculated values of these quantities appear to be in reasonable agreement with the contemporary experimental data. [ABSTRACT FROM AUTHOR]

Spectroscopy and two-photon decays of the charmonium and bottomonium in a relativized potential model consisting of the Cornell potential with a nonstatic spin-dependent corrections are studied within the framework of the Salpeter formalizm. The newly discovered states are also discussed [ABSTRACT FROM AUTHOR]