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

Understanding dynamics of looping of a long chain polymer in solution: Wilemski-Fixman Approach