Missing solution in a Cornell potential

• The Dirac equation with scalar–vector–pseudoscalar Cornell potential is investigated.
• The isolated solution from the Sturm–Liouville problem is found.
• Charge-conjugation operation, degeneracy and localization are discussed.

Missing bound-state solutions for fermions in the background of a Cornell potential consisting of a mixed scalar–vector–pseudoscalar coupling is examined. Charge-conjugation operation, degeneracy and localization are discussed.