Diagonal Born--Oppenheimer correction in strong magnetic fields: finite-difference approach for light diatomic molecules
This study investigates the diagonal Born--Oppenheimer correction (DBOC) for light diatomic molecules in strong magnetic fields up to $0.2$ a.u., revealing that while electron correlation significantly impacts the correction, it acts as a nearly field-independent energy offset that induces vibrational frequency shifts exceeding current observational accuracy for magnetic white dwarfs.