Analysis of the Absolute Cross Section of Charge Transfer Collisions in H$+$H$_{2}^{+}$ and Isotopic Systems using Merged-Beams Technique

We are reporting the absolute charge transfer cross sections for H$+$H$_{2}^{+}$ and isotopic systems, which were measured with the Oak Ridge National Laboratory Multicharged Ion Research Facility from keV/u collision energies where the collision is considered ``ro-vibrationally frozen'' to meV/u energies where collision times are long enough to sample vibrational and rotational modes. The charge transfer of these systems involve the most fundamental ion-molecule two-electron system (H-H$_{2})^{+}$. This temporary complex, formed during charge transfer collisions of H$+$H$_{2}^{+}$, proceeds through dynamically coupled electronic, vibrational, and rotational degrees of freedom (J. Phys. Conf. Ser.\textbf{194} 012043(2009)). The measurements reported here are compared to the existing high energy theory and low energy state-to-state calculations (NIM B \textbf{235} 362 (2005), PRA \textbf{67} 022708 (2003), and PRA \textbf{66,} 042717(2002)).