  We investigate theoretically the end-to-end looping time of a long chain
polymer molecule immersed in a solvent. The dynamics of the end-to-end distance
is governed by a Smoluchowski-like equation of a particle moving under the
influence of a parabolic potential in presence of a Dirac delta sink of
arbitrary strength and location. Using Wilemski-Fixman [ G. Wilemski and M.
Fixman, J. Chem. Phys. {\bf 60}, {\it 866} (1974)] approach we calculate the
looping time for a long chain molecule immersed in a solvent. We find that
looping time varies with several parameters such as length of the polymer (N),
bond length (b) and the relaxation time ${\tau_R}$.
