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Table 2 Coupling energies \(\Delta\) for \(U=0\) for a discrete model \(\Delta ^d\), for continuum Holstein model \(\Delta ^H\), and translation invariant bipolaron \(\Delta ^{TI}\)

From: A translation invariant bipolaron in the Holstein model and superconductivity

\(\Delta\) \(\kappa\)
0.1 0.1975 0.296 0.359 0.5267
\(\Delta ^d\) 0.0037 0.015 0.05 0.112 0.203
\(\Delta ^H\) 0.0037 0.0145 0.033   
\(\Delta ^{TI}\) 0.0056 0.022 0.0495