Journal of Physical Studies 14(4), Article 4301 [11 pages] (2010)
DOI: https://doi.org/10.30970/jps.14.4301

THE SURFACE INTEGRAL METHOD IN THE THEORY OF EXCHANGE INTERACTION OF A POLAR MOLECULE WITH A HIGHLY CHARGED ION

O. M. Karbovanets^{1}, M. I. Karbovanets^{1}, V. Yu. Lazur^{1}, M. V. Khoma^{1,2}
^{1}Uzhgorod National University, Department of Theoretical Physics,
54 Voloshyna St., Uzhgorod, UA--88000, Ukraine
^{2}Universität Siegen, Theoretische Chemie, D--57076 Siegen, Germany
e-mail: mkarbovanets@univ.uzhgorod.ua

An analytical study of the asymptotic properties of the quasimolecular system $\left(A_pB\right)^{(Z_a+Z_b-1)+}$ consisting of the polar molecule $\left(A_p\right)^{(Z_a-1)+}$ and the highly charged atomic ion $B^{Z_b+}$ was carried out. The influence of point dipole of the polar molecule core on the asymptotic of the one-electron wave functions of the $\left(A_pB\right)^{(Z_a+Z_b-1)+}$ system for large distances between interacting particles was taken into account. The new analytical expression for the leading term of the asymptotic of one-electron exchange interaction in the quasimolecule $\left(A_pB\right)^{(Z_a+Z_b-1)+}$ was obtained in the framework of the semiclassical approach.

PACS number(s): 34.10.+x, 34.20.-b, 34.70.+e