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Velocity space scattering coefficients with applications in antihydrogen recombination studies
Phys. Rev. E 62, 8564 – Published 1 December, 2000
DOI: https://doi.org/10.1103/PhysRevE.62.8564
Abstract
An approach for calculating velocity space friction and diffusion coefficients with Maxwellian field particles is developed based on a kernel function derived in a previous paper [Y. Chang and C. A. Ordonez, Phys. Plasmas 6, 2947 (1999)]. The original fivefold integral expressions for the coefficients are reduced to onefold integrals, which can be used for any value of the Coulomb logarithm. The onefold integrals can be further reduced to standard analytical expressions by using a weak coupling approximation. The integral expression for the friction coefficient is used to predict a time scale that describes the rate at which a reflecting antiproton beam slows down within a positron plasma, while both species are simultaneously confined by a nested Penning trap. The time scale is used to consider the possibility of achieving antihydrogen recombination within the trap. The friction and diffusion coefficients are then used to derive an expression for calculating the energy transfer rate between antiprotons and positrons. The expression is employed to illustrate achieving antihydrogen recombination while taking into account positron heating by the antiprotons. The effect of the presence of an electric field on recombination is discussed.
References (32)
- F.L. Hinton, in Basic Plasma Physics, edited by A. A. Galeev and R. N. Sudan (North-Holland, New York, 1983), Vol. 1, p. 147.
- C.-K. Li and R.D. Petrasso, Phys. Rev. Lett. 70, 3063 (1993).
- Y. Chang and D. Li, Phys. Rev. E 53, 3999 (1996).
- E.C. Shoub, Phys. Fluids 30, 1340 (1987); Astrophys. J. 389, 558 (1992).
- M. Psimopoulos, Phys. Lett. A 125, 258 (1987); ibid.M. Psimopoulos and A. Rogister, 149, 265 (1990).
- C.A. Ordonez and M.I. Molina, Phys. Plasmas 1, 2515 (1994).
- E. Besuelle, R.R.E. Salomaa, and D. Teychenne, Phys. Rev. E 60, 2260 (1999).
- H. Risken, The Fokker-Planck Equation: Methods of Solution and Applications (Spring-Verlag, Berlin, 1984).
- L.C. Woods, Principles of Magnetoplasma Dynamics (Clarendon, Oxford, 1987), Chap. 3.
- D.C. Montgomery and D.A. Tidman, Plasma Kinetic Theory (McGraw-Hill, New York, 1964), Chap. 2.
- Y. Chang and C.A. Ordonez, Phys. Plasmas 6, 2947 (1999).
- Y. Chang, Phys. Fluids B 4, 313 (1992); ibid.Y. Chang, Y. Huo, and G. Yu, 4, 3621 (1992).
- Y. Chang, Y.P. Huo, and J.X. Liu, Commun. Theor. Phys. 20, 359 (1993).
- P.J. Davis, in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Wiley, New York, 1972), p. 253.
- C.A. Ordonez, Phys. Fluids B 5, 1367 (1993).
- L. Spitzer, Physics of Fully Ionized Gases (Interscience, New York, 1962), Chap. 5.
- M.E. Glinsky, T.M. O’Neil, M.N. Rosenbluth, K. Tsuruta, and S. Ichimaru, Phys. Fluids B 4, 1156 (1992).
- A.W. Hyatt, C.F. Driscoll, and J.H. Malmberg, Phys. Rev. Lett. 59, 2975 (1987).
- B.R. Beck, J. Fajans, and J.H. Malmberg, Phys. Rev. Lett. 68, 317 (1992).
- M.H. Holzscheiter and M. Charlton, Rep. Prog. Phys. 62, 1 (1999).
- G. Gabrielse, J. Estrada, S. Peil, T. Roach, J.N. Tan, and P. Yesley, in Non-Neutral Plasma Physics III, edited by J.J. Bollinger, R.L. Spencer, and R.C. Davidson, AIP Conf. Proc. No. 498 (AIP, Melville, 1999), p. 29, and references therein.
- K.S. Fine, in Non-Neutral Plasma Physics III21, p. 40.
- C.A. Ordonez, Phys. Plasmas 4, 2313 (1997).
- C.A. Ordonez, IEEE Trans. Plasma Sci. 24, 1378 (1996).
- D.D. Dolliver and C.A. Ordonez, Phys. Rev. E 59, 7121 (1999).
- D.S. Hall and G. Gabrielse, Phys. Rev. Lett. 77, 1962 (1996).
- D.D. Dolliver and C.A. Ordonez, in Non-Neutral Plasma Physics III 21, p. 65.
- G. Gabrielse, S.L. Rolston, L. Haarsma, and W. Kells, Phys. Lett. A 129, 38 (1988).
- M.E. Glinsky and T.M. O’Neil, Phys. Fluids B 3, 1279 (1991).
- P.O. Fedichev, Phys. Lett. A 226, 289 (1997).
- C.M. Surko, S.J. Gilbert and R.G. Greaves, in Non-Neutral Plasma Physics III [21], p. 3.
- R.J. Damburg and V.V. Kolosov, in Rydberg States of Atoms and Molecules, edited by R.F. Stebbings and F.B. Dunning (Cambridge University Press, Cambridge, England, 1983), p. 31.