Positron scattering and annihilation on noble-gas atoms

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 90, Issue 3, 2014, Pages

  Green, D G ^a   Ludlow, J A ^a   Gribakin, G F ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; CALCULATIONS; ELECTRONS; POSITRONS;

ACCURATE NUMERICAL RESULTS; CONVERGENT CLOSE-COUPLING CALCULATIONS; ELASTIC SCATTERING CROSS SECTIONS; MEAN-FIELD DESCRIPTION; NON-PERTURBATIVE EFFECTS; NUMBER OF ELECTRONS; POSITRON SCATTERING; POSITRONIUM FORMATION;

INERT GASES;

EID: 84907221237     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.90.032712     Document Type: Article

References (90)

1. H. S. W. Massey and A. H. A. Moussa, Proc. Phys. Soc. London 71, 38 (1958). PPSOAU 0370-1328 10.1088/0370-1328/71/1/305
2. C. M. Surko, G. F. Gribakin, and S. J. Buckman, J. Phys. B: At., Mol. Opt. Phys. 38, R57 (2005). JPAPEH 0953-4075 10.1088/0953-4075/38/6/R01
3. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics (Pergamon, Oxford, 1982).
4. I. Pomeranchuk, Zh. Eksp. Teor. Fiz. 19, 183 (1949).
5. V. I. Goldanskii and Y. S. Sayasov, Phys. Lett. 13, 300 (1964). PHLTAM 0031-9163 10.1016/0031-9163(64)90018-6
6. P. G. Coleman, T. C. Griffith, G. R. Heyland, and T. L. Killeen, J. Phys. B: At. Mol. Phys. 8, 1734 (1975). JPAMA4 0022-3700 10.1088/0022-3700/8/10/021
7. T. J. Murphy and C. M. Surko, J. Phys. B: At., Mol. Opt. Phys. 23, L727 (1990). JPAPEH 0953-4075 10.1088/0953-4075/23/21/011
8. A preliminary account of these calculations is in J. Ludlow, Ph.D. thesis, Queen's University Belfast, 2003.
9. D. G. Green and G. F. Gribakin (unpublished).
10. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
11. H. P. Kelly, Phys. Rev. 131, 684 (1963). PHRVAO 0031-899X 10.1103/PhysRev.131.684
12. M. Ya. Amusia, N. A. Cherepkov, L. V. Chernysheva, S. G. Shapiro, and A. Tanchich, Pis'ma Zh. Eksp. Teor. Fiz. 68, 2023 (1975)
13. M. Ya. Amusia, N. A. Cherepkov, L. V. Chernysheva, S. G. Shapiro, and A. Tanchich, [Sov. Phys.-JETP 41, 1012 (1975)].
14. M. Ya. Amusia, N. A. Cherepkov, L. V. Chernysheva, D. M. Davidović, and V. Radojević, Phys. Rev. A 25, 219 (1982). 0556-2791 10.1103/PhysRevA.25.219
15. W. R. Johnson and C. Guet, Phys. Rev. A 49, 1041 (1994) PLRAAN 1050-2947; 10.1103/PhysRevA.49.1041
16. W. R. Johnson and C. Guet, Phys. Rev. A 64, 019901 (E) (2001). PLRAAN 1050-2947 10.1103/PhysRevA.64.019901
17. Many-body Atomic Physics, edited by J. J. Boyle and M. S. Pindzola (Cambridge University Press, Cambridge, England, 1995).
18. M. Ya. Amusia, N. A. Cherepkov, L. V. Chernysheva, and S. G. Shapiro, J. Phys. B: At. Mol. Phys. 9, L531 (1976). JPAMA4 0022-3700 10.1088/0022-3700/9/17/005
19. G. F. Gribakin and J. Ludlow, Phys. Rev. A 70, 032720 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.70.032720
20. M. Ya. Amusia, N. A. Cherepkov, and L. V. Chernysheva, J. Exp. Theor. Phys. 97, 34 (2003). JTPHES 1063-7761 10.1134/1.1600794
21. A. R. Tančić, M. Ya. Amusia, N. K. Cherepkov, and M. R. Nikolić, Phys. Lett. A 140, 503 (1989). PYLAAG 0375-9601 10.1016/0375-9601(89)90131-X
22. M. R. Nikolić and A. R. Tančić, Facta Universitatis: Phys. Chem. Technol. 3, 141 (2005). 10.2298/FUPCT0502141N
23. G. F. Gribakin and W. A. King, J. Phys. B: At., Mol. Opt. Phys. 27, 2639 (1994). JPAPEH 0953-4075 10.1088/0953-4075/27/12/021
24. V. A. Dzuba, V. V. Flambaum, G. F. Gribakin, and W. A. King, Phys. Rev. A 52, 4541 (1995). PLRAAN 1050-2947 10.1103/PhysRevA.52.4541
25. V. A. Dzuba, V. V. Flambaum, G. F. Gribakin, and W. A. King, J. Phys. B: At., Mol. Opt. Phys. 29, 3151 (1996). JPAPEH 0953-4075 10.1088/0953-4075/29/14/024
26. G. F. Gribakin and W. A. King, Can. J. Phys. 74, 449 (1996). CJPHAD 0008-4204 10.1139/p96-064
27. V. A. Dzuba, V. V. Flambaum, W. A. King, B. N. Miller, and O. P. Sushkov, Phys. Scr., T 46, 248 (1993). PHSTBO 0031-8949 10.1088/0031-8949/1993/T46/039
28. L. J. M. Dunlop and G. F. Gribakin, Nucl. Instrum. Methods Phys. Res., Sect. B 247, 61 (2006). NIMBEU 0168-583X 10.1016/j.nimb.2006.01.068
29. J. A. Ludlow and G. F. Gribakin, Int. Rev. At. Mol. Phys. 1, 73 (2010).
30. D. G. Green and G. F. Gribakin, Phys. Rev. A 88, 032708 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.88.032708
31. L. J. M. Dunlop and G. F. Gribakin, J. Phys. B: At., Mol. Opt. Phys. 39, 1647 (2006). JPAPEH 0953-4075 10.1088/0953-4075/39/7/008
32. D. G. Green, S. Saha, F. Wang, G. F. Gribakin, and C. M. Surko, New J. Phys. 14, 035021 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/3/035021
33. V. A. Dzuba, V. V. Flambaum, G. F. Gribakin, and C. Harabati, Phys. Rev. A 86, 032503 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.86.032503
34. C. Harabati, V. A. Dzuba, and V. V. Flambaum, Phys. Rev. A 89, 022517 (2014). PLRAAN 1050-2947 10.1103/PhysRevA.89.022517
35. J. P. Sullivan, C. Makochekanwa, A. Jones, P. Caradonna, and S. J. Buckman, J. Phys. B: At., Mol. Opt. Phys. 41, 081001 (2008). JPAPEH 0953-4075 10.1088/0953-4075/41/8/081001
36. A. Zecca, L. Chiari, E. Trainotti, D. V. Fursa, I. Bray, and M. J. Brunger, Eur. Phys. J. D 64, 317 (2011). EPJDF6 1434-6060 10.1140/epjd/e2011-20333-7
37. A. Zecca, L. Chiari, E. Trainotti, D. V. Fursa, I. Bray, A. Sarkar, S. Chattopadhyay, K. Ratnavelu, and M. J. Brunger, J. Phys. B: At., Mol. Opt. Phys. 45, 015203 (2012). JPAPEH 0953-4075 10.1088/0953-4075/45/1/015203
38. A. Zecca, L. Chiari, E. Trainotti, and M. J. Brunger, J. Phys. B: At., Mol. Opt. Phys. 45, 085203 (2012). JPAPEH 0953-4075 10.1088/0953-4075/45/8/085203
39. A. C. L. Jones, C. Makochekanwa, P. Caradonna, D. S. Slaughter, J. R. Machachek, R. P. McEachran, J. P. Sullivan, S. J. Buckman, A. D. Stauffer, I. Bray, and D. V. Fursa, Phys. Rev. A 83, 032701 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.83.032701
40. C. Makochekanwa, J. R. Machacek, A. C. L. Jones, P. Caradonna, D. S. Slaughter, R. P. McEachran, J. P. Sullivan, S. J. Buckman, S. Bellm, B. Lohmann, D. V. Fursa, I. Bray, D. W. Mueller, A. D. Stauffer, and M. Hoshino, Phys. Rev. A 83, 032721 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.83.032721
41. J. R. Machacek, C. Makochekanwa, A. C. L. Jones, P. Caradonna, D. S. Slaughter, R. P. McEachran, J. P. Sullivan, S. J. Buckman, S. Bellm, B. Lohmann, D. V. Fursa, I. Bray, D. W. Mueller, and A. D. Stauffer, New J. Phys. 13, 125004 (2011). NJOPFM 1367-2630 10.1088/1367-2630/13/12/125004
42. D. V. Fursa and I. Bray, New J. Phys. 14, 035002 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/3/035002
43. A. B. Migdal, Theory of Finite Fermi-Systems and Applications to Atomic Nuclei (Interscience, New York, 1967).
44. J. S. Bell and E. J. Squires, Phys. Rev. Lett. 3, 96 (1959). PRLTAO 0031-9007 10.1103/PhysRevLett.3.96
45. M. Ya. Amusia and N. A. Cherepkov, Case Stud. At. Phys. 5, 47 (1975).
46. P. A. Fraser, Adv. At. Mol. Phys. 4, 63 (1968). 9780-1200 10.1016/S0065-2199(08)60185-2
47. M. Ya. Amusia and L. V. Chernysheva, Computation of Atomic Processes. A Handbook for the ATOM Programs (IOP Publishing, Bristol, 1997).
48. C. De. Boor, A Practical Guide to Splines (Springer, New York, 1978).
49. J. Sapirstein and W. R. Johnson, J. Phys. B: At., Mol. Opt. Phys. 29, 5213 (1996). JPAPEH 0953-4075 10.1088/0953-4075/29/22/005
50. G. F. Gribakin and J. Ludlow, J. Phys. B: At., Mol. Opt. Phys. 35, 339 (2002). JPAPEH 0953-4075 10.1088/0953-4075/35/2/311
51. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, 3rd ed. (Pergamon, Oxford, 1977).
52. T. F. O'Malley, L. Spruch, and L. Rosenberg, J. Math. Phys. 2, 491 (1961). JMAPAQ 0022-2488 10.1063/1.1703735
53. R. P. McEachran, D. L. Morgan, A. G. Ryman, and A. D. Stauffer, J. Phys. B: At. Mol. Phys. 10, 663 (1977) JPAMA4 0022-3700; 10.1088/0022-3700/10/4/018
54. R. P. McEachran, D. L. Morgan, A. G. Ryman, and A. D. Stauffer, J. Phys. B 11, 951 (1978) JPAMA4 0022-3700; 10.1088/0022-3700/11/5/527
55. R. P. McEachran, A. G. Ryman, and A. D. Stauffer, J. Phys. B 11, 551 (1978) JPAMA4 0022-3700; 10.1088/0022-3700/11/3/025
56. R. P. McEachran, A. G. Ryman, and A. D. Stauffer, J. Phys. B 12, 1031 (1979) JPAMA4 0022-3700; 10.1088/0022-3700/12/6/019
57. R. P. McEachran, A. D. Stauffer, and L. E. M. Campbell, J. Phys. B 13, 1281 (1980). JPAMA4 0022-3700 10.1088/0022-3700/13/6/030
58. When fitting the (Equation presented)-wave phase shifts at low momenta, we used standard values of the dipole polarizabilities: 1.383, 2.67, 11.08, 16.74, and 27.04 a.u. for He, Ne, Ar, Kr, and Xe, respectively [A. A. Radtsig and B. M. Smirnov, Handbook: Parameters of Atoms and Atomic Ions (Energoatomizdat, Moscow, 1986)]. Calculated (Equation presented)- and (Equation presented)-wave phase shifts show agreement with the behavior predicted by Eq. (28) at low momenta, with values of (Equation presented) within a few percent of the recommended ones.
59. R. I. Campeanu and J. W. Humberston, J. Phys. B 10, L153 (1977). JPAMA4 0022-3700 10.1088/0022-3700/10/5/007
60. P. Van Reeth and J. W. Humberston, J. Phys. B: At., Mol. Opt. Phys. 32, 3651 (1999). JPAPEH 0953-4075 10.1088/0953-4075/32/15/303
61. H. Wu, I. Bray, D. V. Fursa, and A. T. Stelbovics, J. Phys. B: At., Mol. Opt. Phys. 37, L1 (2004). JPAPEH 0953-4075 10.1088/0953-4075/37/1/L01
62. T. S. Stein, W. E. Kauppila, V. Pol, J. H. Smart, and G. Jesion, Phys. Rev. A 17, 1600 (1978). 0556-2791 10.1103/PhysRevA.17.1600
63. T. Mizogawa, Y. Nakayama, T. Kawaratani, and M. Tosaki, Phys. Rev. A 31, 2171 (1985). 0556-2791 10.1103/PhysRevA.31.2171
64. G. P. Karwasz, D. Pliszka, A. Zecca, and R. S. Brusa, Nucl. Instrum. Methods Phys. Res., Sect. B 240, 666 (2005). NIMBEU 0168-583X 10.1016/j.nimb.2005.04.115
65. P. M. Jay and P. G. Coleman, Phys. Rev. A 82, 012701 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82.012701
66. K. Nagumo, Y. Nitta, M. Hoshino, H. Tanaka, and Y. Nagashima, J. Phys. Soc. Jpn. 80, 064301 (2011) JUPSAU 0031-9015; 10.1143/JPSJ.80.064301
67. K. Nagumo, Y. Nitta, M. Hoshino, H. Tanaka, and Y. Nagashima, J. Phys. Soc. Jpn. 80, 098001 (2011). 10.1143/JPSJ.80.098001
68. G. Sinapius, W. Raith, and W. G. Wilson, J. Phys. B: At. Mol. Phys. 13, 4079 (1980). JPAMA4 0022-3700 10.1088/0022-3700/13/20/020
69. K. Nagumo, Y. Nitta, M. Hoshino, H. Tanaka, and Y. Nagashima, Eur. Phys. J. D 66, 81 (2012). EPJDF6 1434-6060 10.1140/epjd/e2012-20624-5
70. S. P. Parikh, W. E. Kauppila, C. K. Kwan, R. A. Lukaszew, D. Przybyla, T. S. Stein, and S. Zhou, Phys. Rev. A 47, 1535 (1993). PLRAAN 1050-2947 10.1103/PhysRevA.47.1535
71. W. E. Kauppila, T. S. Stein, and G. Jesion, Phys. Rev. Lett. 36, 580 (1976). PRLTAO 0031-9007 10.1103/PhysRevLett.36.580
72. G. P. Karwasz, D. Pliszka, and R. S. Brusa, Nucl. Instrum. Methods Phys. Res., Sect. B 247, 68 (2006). NIMBEU 0168-583X 10.1016/j.nimb.2006.01.065
73. M. S. Dababneh, W. E. Kauppila, J. P. Downing, F. Laperriere, V. Pol, J. H. Smart, and T. S. Stein, Phys. Rev. A 22, 1872 (1980). 0556-2791 10.1103/PhysRevA.22.1872
74. S. J. Gilbert, R. G. Greaves, and C. M. Surko, Phys. Rev. Lett. 82, 5032 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.5032
75. J. P. Marler, C. M. Surko, R. P. McEachran, and A. D. Stauffer, Phys. Rev. A 73, 064702 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.73.064702
76. L. T. Sin Fai Lam, J. Phys. B: At. Mol. Phys. 15, 143 (1982). JPAMA4 0022-3700 10.1088/0022-3700/15/1/021
77. G. F. Gribakin, Phys. Rev. A 61, 022720 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.61.022720
78. G. F. Gribakin, in New Directions in Antimatter Chemistry and Physics, edited by C. M. Surko and F. A. Gianturco (Kluwer Academic, Dordrecht, 2001), Chap. 22.
79. J. Mitroy and I. A. Ivanov, Phys. Rev. A 65, 042705 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.042705
80. J. Mitroy, J. Y. Zhang, M. W. J. Bromley, and S. I. Young, Phys. Rev. A 78, 012715 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.78.012715
81. The exception is the energy-resolved measurements for argon and xenon for (Equation presented) positrons, J. P. Marler, L. D. Barnes, S. J. Gilbert, J. P. Sullivan, J. A. Young, and C. M. Surko, Nucl. Instrum. Methods Phys. Res., Sect. B 221, 84 (2004). NIMBEU 0168-583X 10.1016/j.nimb.2004.03.035
82. P. Van Reeth, J. W. Humberston, K. Iwata, R. G. Greaves, and C. M. Surko, J. Phys. B: At., Mol. Opt. Phys. 29, L465 (1996). JPAPEH 0953-4075 10.1088/0953-4075/29/12/004
83. G. L. Wright, M. Charlton, T. C. Griffith, and G. R. Heyland, J. Phys. B: At. Mol. Phys. 18, 4327 (1985). JPAMA4 0022-3700 10.1088/0022-3700/18/21/019
84. T. C. Griffith and G. R. Heyland, Phys. Rep. C 39, 169 (1978). PRPLCM 0370-1573 10.1016/0370-1573(78)90127-8
85. K. Iwata, R. G. Greaves, T. J. Murphy, M. D. Tinkle, and C. M. Surko, Phys. Rev. A 51, 473 (1995). PLRAAN 1050-2947 10.1103/PhysRevA.51.473
86. V. A. Dzuba, V. V. Flambaum, P. G. Silvestrov, and O. P. Sushkov, Phys. Lett. A 131, 461 (1988). PYLAAG 0375-9601 10.1016/0375-9601(88)90302-7
87. V. A. Dzuba, V. V. Flambaum, and O. P. Sushkov, Phys. Lett. A 140, 493 (1989). PYLAAG 0375-9601 10.1016/0375-9601(89)90129-1
88. M. J. Puska and R. M. Nieminen, Rev. Mod. Phys. 66, 841 (1994). RMPHAT 0034-6861 10.1103/RevModPhys.66.841
89. G. F. Gribakin, J. A. Young, and C. M. Surko, Rev. Mod. Phys. 82, 2557 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.2557
90. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).