Recombination of hydrogen plasma in the divertor volume is a simple explanation for divertor detachment phenomena experimentally observed on many tokamaks and divertor plasma simulators. The presence of vibrationally excited molecules in detached plasma provides an additional mechanism for plasma recombination, the so-called molecular assisted recombination (MAR). The cross-section data on atomic and molecular processes relevant for divertor plasma conditions are reviewed. Collisional radiative kinetics for cascade excitation of vibrational and electronic states as well as for the dissociation, recombination, and ionization of hydrogen molecule and molecular ions is studied. The results of calculations on the effective rate coefficient for MAR in detached divertor plasmas are presented. A comparison of the MAR rate coefficient with the rate coefficients for molecular dissociation, ionization, and electron-ion recombination is given. The sensitivity of MAR rate to the accuracy and completeness of atomic physics data is discussed
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