An integral (cf. Eq. (7)) is interpreted as a Fourier transform of
the popular Rosen-Morse potential (given by Eq. (1) and interpreted
as an angular function on $S^3$) and evaluated in closed form (cf.
Eq. (9)).


MR2534521 Compean, C. B.; Kirchbach, M. Momentum space trigonometric
Rosen-Morse potential. J. Phys. A 42 (2009), no. 36, 365301, 5 pp.
81Qxx (33C55)