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An approximation for the centrifugal term which transforms the radialequation for a particle in a P\"oschl-Teller potential into an exactly solvableapproximate equation is proposed. In contrast to the approximations known inthe literature, the new one can be used with the most general form of thecentral P\"oschl-Teller potential. An approximate expression for thebound-state spectrum is obtained.

Pekeris-type approximation for the $l$-wave in a P\"oschl-Teller potential