Abstract
The aim of this work is to present and discuss the Ramsauer-Townsend effect in the context of low-energy positron scattering by rare gas atoms. Opposed to what happens in electron-atom scattering, the competition between the static repulsive and polarization attractive potentials makes the phenomenon improbable in positron case. Nonetheless, we show using a semiempirical potential formulation that, while the effect is explicitly observed in the total cross sections for He and Ne, for the heavier noble gases it becomes “hidden” or implicit. We show that as the atomic polarizability increases, the suppression of s-wave goes to higher energies due to the variation of the scattering length with the polarizability. No specific signature for the effect is found in the shape of the differential cross sections but curiously, while the effect is implicit in the total cross section for Ar, it generates a minimum structure in the momentum transfer cross section. The theme is presented for non-specialist audience with emphasis in basic atomic and scattering theories along with practical results, the main objective being to boost the traditional discussions with a new view on the subject.
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Notes
The same is found for Kr.
References
C. Ramsauer, Ann. Phys. 369(6), 513 (1921)
N.F. Mott, H.S.W Massey, The theory of atomic collisions (1949)
J. Townsend, V. Bailey, London Edinburgh Dublin Philos. Mag. J. Sci. 43(255), 593 (1922)
R.S. Wilde, I.I. Fabrikant, Phys. Rev. A. 98, 042703 (2018)
J.J. Sakurai, J. Napolitano. Modern Quantum Mechanics, 2nd edn. (Cambridge University Press, Cambridge , 2017)
R.L. Liboff, Introductory Quantum Mechanics. Addison-Wesley Publishing Company, Inc. (1980)
C. Joachain, Quantum collision theory (North-Holland) (1975)
D.D. Reid, J.M. Wadehra, J. Phys. B At. Mol. Opt. Phys. 47(22), 225211 (2014)
B. Bransden, C. Joachain. Physics of Atoms and Molecules (Pearson Education, Longman, 1983)
A. Szabo, N. Ostlund. Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory (Dover Books on Chemistry, Dover Publications, 1996)
F. Salvat, J.D. Mart˘nez, R. Mayol, J. Parellada, Phys. Rev. A. 36, 467 (1987)
A.D. Buckingham. Permanent and Induced Molecular Moments and Long-Range Intermolecular Forces (John Wiley & Sons, Ltd, New York, 2007), pp. 107–142
P. Atkins, R. Friedman, Molecular quantum mechanics, OUP Oxford (2011)
K. Bonin, V. Kresin. Electric-dipole Polarizabilities of Atoms, Molecules and Clusters (World Scientific, Singapore, 1997)
G.F. Gribakin, Rev. Phys. A. 61, 022720 (2000)
D.M. Schrader, Rev. Phys. A. 20, 918 (1979)
J. Mitroy, I.A. Ivanov, Phys. Rev. A. 042705, 65 (2002)
F. Arretche, M.V. Barp, A. Scheidt, E.P. Seidel, W. Tenfen, J. Phys. B At. Mol. Opt. Phys. 52(21), 215201 (2019)
A. Zecca, L. Chiari, E. Trainotti, D.V. Fursa, I. Bray, A. Sarkar, S. Chattopadhyay, K. Ratnavelu, M.J. Brunger, J. Phys. B At. Mol. Opt. Phys. 45(1), 015203 (2011)
A. Zecca, L. Chiari, E. Trainotti, M.J. Brunger, J. Phys. B At. Mol. Opt. Phys. 45(8), 085203 (2012)
K. Bartschat, Computational atomic physics: electron and positron collisions with atoms and ions. No. v. 1 in Computational Atomic Physics: Electron and Positron Collisions with Atoms and Ions (Springer) (1996)
W. Robb, Comput. Phys. Commun. 1(6), 457 (1970)
K. Shigemura, M. Kitajima, M. Kurokawa, K. Toyoshima, T. Odagiri, A. Suga, H. Kato, M. Hoshino, H. Tanaka, K. Ito, Phys. Rev. A. 89, 022709 (2014)
M. Kurokawa, M. Kitajima, K. Toyoshima, T. Kishino, T. Odagiri, H. Kato, M. Hoshino, H. Tanaka, K. Ito, Phys. Rev. A. 84, 062717 (2011)
T.S. Stein, W.E. Kauppila, V. Pol, J.H. Smart, G. Jesion, Phys. Rev. A. 17, 1600 (1978)
W.E. Kauppila, T.S. Stein, G. Jesion, Phys. Rev. Lett. 36, 580 (1976)
M.S. Dababneh, W.E. Kauppila, J.P. Downing, F. Laperriere, V. Pol, J.H. Smart, T.S. Stein, Phys. Rev. A. 22, 1872 (1980)
L. Chiari, A. Zecca, Eur. Phys. J. D. 68, 297 (2014)
R.P. McEachran, A.G. Ryman, A.D. Stauffer, D.L. Morgan, J. Phys. B At. Mol. Phys. 10(4), 663 (1977)
R.P. McEachran, D.L. Morgan, A.G. Ryman, A.D. Stauffer, J. Phys. B At. Mol. Phys. 11(5), 951 (1978)
R.P. McEachran, A.G. Ryman, A.D. Stauffer, J. Phys. B At. Mol. Phys. 11(3), 551 (1978)
V.A. Dzuba, V.V. Flambaum, G.F. Gribakin, W.A. King, J. Phys. B At. Mol. Opt. Phys. 29(14), 3151 (1996)
D.G. Green, J.A. Ludlow, G.F. Gribakin, Phys. Rev. A. 90, 032712 (2014)
M. Charlton, M. Charlton, J. Humberston, A. Dalgarno, C.U. Press, F. Read, R. Zare, Positron Physics. Cambridge Monographs on Atomic, Molecular and Chemical Physics (Cambridge University Press (2001)
K.F. Canter, G.R. Heyland, Appl. Phys. 5(3), 231 (1974)
J.P. Sullivan, C. Makochekanwa, A. Jones, P. Caradonna, D.S. Slaughter, J. Machacek, R.P. McEachran, D.W. Mueller, S.J. Buckman, J. Phys. B At. Mol. Opt. Phys. 44(3), 035201 (2011). https://doi.org/10.1088/0953-4075/44/3/035201
T.F. O’Malley, L. Rosenberg, L. Spruch, Phys. Rev. 125, 1300 (1962)
B. Bransden, Atomic collision theory. Lecture Notes and Supplements in Physics (Benjamin) (1970)
R. Szmytkowski, J. Phys. A Math. Gen. 28(24), 7333 (1995)
R. Szmytkowski, Rev. Phys. A. 51, 853 (1995)
K. Fedus, Eur. Phys. J D. 70(12), 261 (2016)
R.P. McEachran, A.G. Ryman, A.D. Stauffer, J. Phys. B At. Mol. Phys. 12(6), 1031 (1979). https://doi.org/10.1088/0022-3700/12/6/019
R.P. McEachran, A.D. Stauffer, L.E.M Campbell, J. Phys. B At. Mol. Phys. 13(6), 1281 (1980). https://doi.org/10.1088/0022-3700/13/6/030
H. Massey, E. Burhop, H. Gilbody, Electronic and ionic impact phenomena: collision of electrons with atoms, by H. S. W. Massey and E. H. S. Burhop. Electronic and Ionic Impact Phenomena V.1: Collision of Electrons with Atoms (Clarendon P.) (1969)
J.M. Blatt, L.C. Biedenharn, Rev. Mod. Phys. 24, 258 (1952)
Acknowledgments
M.V. Barp, E.P. Seidel, F. Arretche, and W. Tenfen would like to thank the Programa de Pós-Graduação em Física of Universidade Federal de Santa Catarina and Universidade Federal de Pelotas for the support. M.V. Barp and E.P. Seidel would like to thank the Conselho Nacional de Desenvolvimento Cientifico e Tecnológico for the support. Finally, the authors would like to thank the referee for carefully reading the manuscript and for giving constructive comments.
Funding
M.V. Barp, E.P. Seidel, F. Arretche, and W. Tenfen received financial support from Programa de Pós-Graduação em Física of Universidade Federal de Santa Catarina and Universidade Federal de Pelotas. M.V. Barp and E.P. Seidel received financial support from the Conselho Nacional de Desenvolvimento Cientifico e Tecnológico.
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Arretche, F., Barp, M.V., Tenfen, W. et al. The Hidden Ramsauer-Townsend Effect in Positron Scattering by Rare Gas Atoms. Braz J Phys 50, 844–856 (2020). https://doi.org/10.1007/s13538-020-00789-0
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DOI: https://doi.org/10.1007/s13538-020-00789-0