l-Mixing Collision in Presence of Microwave Field

Urvashi Arya, Brijender Dahiya, Vinod Prasad

.

DOI: 10.4236/jmp.2012.31004                

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.

Keywords

l-Mixing; Floquet Technique; Cross Section

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	T. F. Gallaghar, “Rydberg Atoms Cambridge Monographs on Atomic, Molecular and Chemical Physic,” 3rd Edition, Cambridge University Press, Cambridge, 1994.
[2]	T. F. Gallaghar, “Rydberg Atoms,” Reports on Progress in Physics, Vol. 51, No. 2, 1988, pp. 143-188. doi:10.1088/0034-4885/51/2/001
[3]	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
[4]	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
[5]	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
[6]	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
[7]	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. doi:10.1103/PhysRevLett.73.3078
[8]	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
[9]	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
[10]	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. doi:10.1088/0953-4075/25/10/013
[11]	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
[12]	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. doi:10.1103/PhysRevA.24.1286
[13]	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
[14]	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. doi:10.1088/0022-3700/11/21/001
[15]	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
[16]	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. doi:10.1088/0370-1328/80/2/307
[17]	M. J. Cavagnero, “Floquet Analysis of Inelastic Collisions of Ions with Rydberg Atoms,” Physical Review A, Vol. 52, No. 4, 1995, pp. 2865-2875. doi:10.1103/PhysRevA.52.2865
[18]	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
[19]	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
[20]	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
[21]	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. doi:10.1103/PhysRev.138.B979
[22]	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
[23]	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
[24]	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. doi:10.1140/epjd/e2002-00134-y
[25]	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. doi:10.1088/0953-4075/24/3/008
[26]	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.
[27]	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
[28]	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