Abstract
The current state of the theoretical methods that are used in calculations of cross sections for the production of antihydrogen in collisions between antiprotons and positronium atoms is reviewed. A broad outline of available methods together with the results of recent computations are presented. The main emphasis is made on the general close-coupling approach that allows any reaction channel to be taken as the initial state of the collision system. In this way, and on account of charge-conjugation invariance, the formation of antihydrogen in collisions between antiprotons and positronium atoms becomes linked to positron-hydrogen scattering and the same computational methods can be applied to either reaction. The review gives references to recent papers on the subject.
Similar content being viewed by others
References
B.I. Deutch, Hyp. Int. 73(1992)175.
R.J. Hughes, Nature 353(1991)700.
M. Charlton, J. Eades, D. Horváth, R.J. Hughes and C. Zimmermann, Phys. Rep. 241(1994)67.
T.W. Hänsch and C. Zimmermann, in:Antihydrogen, Proc. Antihydrogen Workshop, Munich, 1992, ed. J. Eades, Hyp. Int. 76(1993)47.
R.S. Van Dyck, Jr., P.B. Schwinberg and H.G. Dehmelt, Phys. Rev. Lett. 59(1987)26.
G. Gabrielse, D. Phillips, W. Quint, H. Kalinowsky, G. Rouleau and W. Jhe, Phys. Rev. Lett. 74 (1995)3544.
P.K. Kabir, Phys. Rev. D 2(1970)540.
R.J. Hughes and B.I. Deutch, Phys. Rev. Lett. 69(1992)578.
B.I. Deutch, A.S. Jensen, A. Miranda and G.C. Oades,Proc. Int. Workshop on Antimatter Physics at Low Energies, Fermilab, Batavia, IL, US FNAL (1986) p. 371.
G. Gabrielse, S.L. Rolston, L. Haarsma and W. Kells, Hyp. Int. 44(1988)287.
G. Baur, G. Boero, S. Brauksiepe, A. Buzzo, W. Eyrich, R. Geyer, D. Grzonka, J. Hauffe, K. Kilian, M. LoVetere, M. Macri, M. Moosburger, R. Nellen, W. Oelert, S. Passaggio, A. Pozzo, K. Röhrich, K. Sachs, G. Schepers, T. Sefzick, R.S. Simon, R. Stratmann, F. Stinzing and M. Wolke, Phys. Lett. B 368(1996)251.
G. Spicher, B. Olsson, W. Raith, G. Sinapus and W. Sperber, Phys. Rev. Lett. 64(1990)1019.
W. Sperber, D. Becker, K.G. Lynn, W. Raith, A. Schwab, G. Sinapus, G. Spicher and M. Weber, Phys. Rev. Lett. 68(1992)3690.
G.O. Jones, M. Charlton, J. Slevin, G. Laricchia, A. Köver, M.R. Poulsen and S. Nic Chromaic, J. Phys. B 26(1993)L483.
S. Zhou, W.E. Kauppila, C.K. Kwan and T.S. Stein, Phys. Rev. Lett. 72(1994)1443.
P.G. Burke and W.D. Robb, Adv. At. Mol. Phys. 11(1975)143.
I.E. McCarthy and A.T. Stelbovics, Phys. Rev. A 28(1983)2693.
C. Schwartz, Phys. Rev. 124(1961)1468.
A.K. Bhatia, A. Temkin and H. Eizereke, Phys. Rev. A 9(1974)219.
J.W. Humberston, Can. J. Phys. 60(1982)591.
J.W. Humberston, J. Phys. B 17(1984)2353.
C.J. Brown and J.W. Humberston, J. Phys. B 18(1985)L401.
J.W. Humberston, M. Charlton, F.M. Jacobsen and B.I. Deutch, J. Phys. B 20(1987)L25.
G.I. Budker and A.N. Skrinsii, Sov. Phys. Usp. 21(1978)277.
H. Herr, D. Möhl and A. Winnacker, in:Proc. Workshop on Physics at LEAR with Low-Energy Cooled Antiprotons, eds. U. Gastaldi and R. Klapish (Plenum, New York, 1984) p. 659.
R. Neumann, H. Poth, A. Winnacker and A. Wolf, Z. Phys. A 313(1983)253.
A.M. Ermolaev, in:Production and Investigation of Atomic Antimatter, Proc. Symp., ANTIMATTER, Karlsruhe, 1987, Hyp. Int. 44(1988)375.
A.M. Ermolaev, B.H. Bransden and C.R. Mandal, Phys. Lett. A 125(1987)44.
J.W. Darewych, J. Phys. B 20(1987)5917.
S.N. Nahar and J.M. Wadehra, Phys. Rev. A 37(1988)4118.
J.R. Winick and W.P. Reinhardt, Phys. Rev. A 18(1978)910; 925.
R.N. Hewitt, C.J. Noble and B.H. Bransden, J. Phys. B 23(1990)4185; ibid. 24(1991)L635.
R.N. Hewitt, C.J. Noble and B.H. Bransden, J. Phys. B 25(1992)557.
R.N. Hewitt, C.J. Noble and B.H. Bransden, J. Phys. B 25(1992)2683; ibid. 26(1993)3661.
B.H. Bransden, A.M. Ermolaev, R.N. Hewitt and C.J. Noble, J. Phys. B 28(1995)1603.
J. Mitroy, J. Phys. B 26(1993)L625; ibid. 26(1993)4861.
J. Mitroy and A.T. Stelbovics, J. Phys. B 27(1994)L55.
J. Mitroy and A.T. Stelbovics, Phys. Rev. Lett. 72(1994)3495.
J. Mitroy, L. Berge and A.T. Stelbovics, Phys. Rev. Lett. 73(1994)2966.
J. Mitroy and K. Ratnavelu, J. Phys. B 28(1995)287.
K. Higgins and P.G. Burke, J. Phys. B 24(1991)L343; ibid. 26(1993)4269.
K. Higgins, P.G. Burke and H.R.J. Walters, J. Phys. B 23(1990)1345.
M.T. McAlinden and H.R.J. Walters, Hyp. Int. 73(1992)65; ibid. 89(1994)407.
M.T. McAlinden, A.A. Kernoghan and H.R.J. Walters, Hyp. Int. 89(1994)161.
A.A. Kernoghan, M.T. McAlinden and H.R.J. Walters, J. Phys. B 28(1995)1079.
B.J. Archer, G.A. Parker and R.T. Pack, Phys. Rev. A 41(1990)1303.
A. Igarashi and N. Toshima, Phys. Rev. A 50(1994)232.
A. Igarashi, N. Toshima and T. Shirai, J. Phys. B 27(1994)L497.
C.J. Joachain,Quantum Collision Theory (North-Holland, Amsterdam, 1975).
P.G. Burke and K.A. Berrington (eds.),Atomic and Molecular Processes; An R-Matrix Approach (IOP, Bristol, 1993).
W.R. Thorson and J.B. Delos, Phys. Rev. A 18(1978)117.
B.H. Bransden, C.J. Joachain and J.F. McCann, J. Phys. B 25(1992)4965.
S.K. Barman and D.P. Sural, Phys. Rev. A 10(1974)1162.
N.C. Deb, J.H. McGuire and N.C. Sil, Phys. Rev. A 36(1987)3707.
M. Basu and A.S. Ghosh, J. Phys. B 21(1988)3439.
G.M.A. Hyder, M.S. Dababneh, Y.F. Hseih, W.E. Kauppila, C.K. Kwan, M. Mahdavi-Hezaveh and T.S. Stein, Phys. Rev. Lett. 57(1986)2252.
C.J. Joachain, in:Atomic Physics with Positrons, Vol. 169, eds. J.W. Humberston and E.A.G. Armour, NATO ASI Series, Ser. B (Plenum, New York, 1987) p. 71.
M. Charlton, Phys. Lett. A 144(1990)144.
R. Arbines and I.C. Persival, Proc. Roy. Phys. Soc. (London) 88(1966)873.
R.E. Olson, J. Phys. B 13(1980)483.
B.I. Deutch, M. Charlton, M.H. Holzscheiter, P. Hvelplund, L.V. Jørgensen, H. Knudsen, G. Laricchia, J.P. Merrison and M.R. Poulson, in:Antihydrogen, Proc. Antihydrogen Workshop, Munich, 1992, ed. J. Eades, Hyp. Int. 76(1993)153.
K.P. Ziock, R.H. Howell, R. Magnotta, R.A. Failor and K.M. Jones, Phys. Rev. Lett. 64(1990)2366.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ermolaev, A.M. Theoretical studies of antihydrogen formation in collisions between positronium atoms and antiprotons. Hyperfine Interact 100, 41–54 (1996). https://doi.org/10.1007/BF02059931
Issue Date:
DOI: https://doi.org/10.1007/BF02059931