ABSTRACT We have studied excitation of multilevel Na-Rydberg atom due to collision with proton in the presence of variable laser field. The interaction of laser field and Na-Rydberg atom is explored using non perturbative Floquet technique. The transition probability is calculated at different laser frequencies (GHz), projectile velocities and impact-parameter. We have also calculated total cross-section for near resonant energy transfer collision of proton with Na-Rydberg atom at different frequencies.
Cite this paper
U. Arya, B. Dahiya and V. Prasad, "l-Mixing Collision in Presence of Microwave Field," Journal of Modern Physics, Vol. 3 No. 1, 2012, pp. 28-36. doi: 10.4236/jmp.2012.31004.
 T. F. Gallaghar, “Rydberg Atoms Cambridge Monographs on Atomic, Molecular and Chemical Physic,” 3rd Edition, Cambridge University Press, Cambridge, 1994.
 T. F. Gallaghar, “Rydberg Atoms,” Reports on Progress in Physics, Vol. 51, No. 2, 1988, pp. 143-188.
 M. I. Chibisov, “Coulomb Rydberg Electron l-Mixing in Collisions with Atomic Ions,” Journal of Experimental and Theoretical Physics, Vol. 105, No. 5, 2007, pp. 927- 952. doi:10.1134/S1063776107110076
 G. Benenti, G. Casati and D. L. Shepelyansky, “100-Photon Microwave Ionization of Rydberg Atoms in a Static Electric Field,” Physical Review A, Vol. 57, No. 3, 1998, pp. 1987-1991. doi:10.1103/PhysRevA.57.1987
 K. A. Safinya, J. F. Delpech, F. Gounand, W. Sandner and T. F. Gallagher, “Resonant Rydberg-Atom-Rydberg- Atom Collisions,” Physical Review Letters, Vol. 47, No. 6, 1981, pp. 405-408. doi:10.1103/PhysRevLett.47.405
 P. M. Fu, T. J. Scholz, J. M. Hettema and T. F. Gallagher, “Ionization of Rydberg Atoms by a Circularly Polarized Microwave Field,” Physical Review Letters, Vol. 64, No. 5, 1990, pp. 511-514. doi:10.1103/PhysRevLett.64.511
 C. H. Cheng, C. Y. Lee and T. F. Gallagher, “Production of Circular Rydberg States with Circularly Polarized Microwave Fields,” Physical Review Letters, Vol. 73, No. 23,1994, pp. 3078-3081.
 P. M. Koch and K. A. H. van Leeuwen, “The Importance of Resonances in Microwave ‘Ionization’ of Excited Hydrogen Atoms,” Physics Reports, Vol. 255, No. 5-6, 1995, pp. 289-403. doi:10.1016/0370-1573(94)00093-I
 D. L. Dorofeev and B. A. Zon, “Mixing of Rydberg States Induced by Interaction with Moving Ion,” Journal of Chemical Physics, Vol. 106, No. 23, 1997, pp. 9609- 9617. doi:10.1063/1.473859
 R. G. Rolfes, L. G. Gray and K. B. MacAdam, “Collisions of Na+ Ions with Na Rydberg Atoms in Electricfields: Depopulation Cross Sections and Final-State Distributions from 36s and 30p Initial States,” Journal of Physics B, Vol. 25, No. 10, 1992, pp. 2319-2342.
 D. B. Smith, R. G. Rolfes and K. B. MacAdam, “l-Changing Depopulation of Na s and p Rydberg States by Ion Impact,” Physical Review A, Vol. 37, No. 7, 1988, pp. 2378-2385. doi:10.1103/PhysRevA.37.2378
 K. B. MacAdam, R. G. Rolfes and D. A. Crosby, “l Change in Sodium Rydberg Atoms Induced by Ion Collisions near the Matching Velocity,” Physical Review A, Vol. 24, No. 3, 1981, pp. 1286-1298.
 R. G. Rolfes, L. G. Gray, O. P. Makarov and K. B. MacAdam, “Electron-Collision-Induced Dipole Transitions in Na Rydberg Atoms: 30s - 30p and 30s - 29p Absolute Cross Sections,” Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 26, No. 14, 1993, pp. 2191- 2200. doi:10.1088/0953-4075/26/14/018
 J. Picart, A. R. Edmonds and N. T. Minh, “Extrapolation to High Principal Quantum Numbers of Radial Integrals in the Coulomb Approximation,” Journal of Physics B, Vol. 11, No. 21, 1978, pp. L651-L654.
 V. D. Irby, R. G. Rolfes, O. P. Makarov, K. B. MacAdam and M. I. Syrkin, “Absolute Cross Sections for the Dipole-Allowed Transitions 30s - 30p and 29d - 30p Incollisions between Charged Particles and Na Rydberg Atoms,” Physical Review A, Vol. 52, No. 5, 1995, pp. 3809- 3815. doi:10.1103/PhysRevA.52.3809
 R. J. Bell and B. G. Skinner, “Excitation of the 1s - 2p Transition in Hydrogen and the 3s - 3p Transition in Sodium by Nuclei,” Proceedings of the Physical Society, Vol. 80, No. 2, 1962, pp. 404-412.
 M. J. Cavagnero, “Floquet Analysis of Inelastic Collisions of Ions with Rydberg Atoms,” Physical Review A, Vol. 52, No. 4, 1995, pp. 2865-2875.
 G. S. Balaraman and M. R. Flannery, “Stark Mixing by Ion-Rydberg Atom (Molecule) Collisions,” International Journal of Mass Spectrometry, Vol. 280, No. 1-3, 2009, pp. 179-183. doi:10.1016/j.ijms.2008.08.017
 C. E. Theodosiou, “Excitation of the Na 3p Level by Light Ions,” Physical Review A, Vol. 36, No. 5, 1987, pp. 2067-2071. doi:10.1103/PhysRevA.36.2067
 J. Rao, B. Li and K. T. Taylor, “A New Floquet-Based Method for Calculation of Multiphoton Transition Transition Probabilities of Non-Hydrogenic Atoms in Strong Microwave Fields,” Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 32, No. 7, 1999, pp. L145-L154. doi:10.1088/0953-4075/32/7/001
 J. H. Shirley, “Solution of the Schr?dinger Equation with a Hamiltonian Periodic in Time,” Physical Review, Vol. 138, No. 4B, 1965, pp. B979-B987.
 J. V. Moloney and F. H. Faisal, “Computation of Multiphoton IR Spectra of Small Molecules: Application CO,” Journal of Physics B, Vol. 12, No. 17, 1999, pp. 2829-2840. doi:10.1088/0022-3700/12/17/013
 R. C. Stoneman, D. S. Thompson and T. F. Gallgher, “Microwave Multiphoton Transitions between Rydberg States of Potassium,” Physical Review A, Vol. 37, No. 5, 1988, pp. 1527-1540. doi:10.1103/PhysRevA.37.1527
 K. Batra, V. Prasad and M. Mohan, “Collisional Excitation of Na-Rydberg Atoms,” The European Physical Journal D, Vol. 20, No. 2, 2002, pp. 191-198.
 M. Mohan and V. Prasad, “Laser-Assisted Vibrational Excitations during Ion-Molecule Collisions,” Journal of Physics B, Vol. 24, No. 3, 1991, pp. L81-L88.
 V. Prasad and M. Mohan, “Vibrational Excitation of SH Radical Due to Proton Impact in the Presence of a Laser Beam,” Chemical Physics Letters, Vol. 187, No.1-2, 1991, pp. 161-165.
 V. Prasad and K. Yamashita, “Effect of Laser Field Ellipticity on Therovibrational Excitations of a Diatomic Molecule,” Chemical Physics Letters, Vol. 426, No. 1-3, 2006, pp. 8-12. doi:10.1016/j.cplett.2006.04.120
 J. Callaway and E. Bauer, “Inelastic Collisions of Slow Atoms,” Physical Review, Vol. 140, No. 4A, 1995, pp. A1072-A1084. doi:10.1103/PhysRev.140.A1072