Analytic approach to modified effective-range theory for electron and positron elastic scattering

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 88, Issue 1, 2013, Pages

  Fedus, K ^a   Karwasz, G P ^a   Idziaszek, Z ^b  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ALTERNATIVE APPROACH; INTEGRAL CROSS-SECTIONS; INVERSION PROCEDURE; MOMENTUM TRANSFER CROSS SECTIONS; POLARIZATION POTENTIAL; SCATTERING AMPLITUDES; SCATTERING EQUATIONS; TOTAL CROSS SECTION;

ELECTRONS; EXTRAPOLATION; POSITRONS;

ELASTIC SCATTERING;

EID: 84880635337     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.88.012704     Document Type: Article

References (88)

1. W. M. Huo and Y. K. Kim, IEEE Trans. Plasma Sci. ITPSBD 0093-3813 10.1109/27.799798 27, 1225 (1999). (Pubitemid 32081667)
2. J.-S. Yoon, Y.-W. Kim, D.-C. Kwon, M.-Y. Song, W.-S. Chang, C.-G. Kim, V. Kumar, and B. Lee, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/73/11/ 116401 73, 116401 (2010).
3. J. Tennyson, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2010.02.001 491, 29 (2010).
4. G. P. Karwasz, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2005-00225- 3 35, 267 (2005). (Pubitemid 41315001)
5. C. M. Surko, G. F. Gribakin, and S. J. Buckman, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/6/R01 38, R57 (2005). (Pubitemid 40449870)
6. G. P. Karwasz, D. Pliszka, and R. S. Brusa, Nucl. Instrum. Methods Phys. Res., Sect. B 10.1016/j.nimb.2006.01.065 247, 68 (2006).
7. W. Tenfen, K. T. Mazon, S. E. Michelin, J. R. Mohallem, and D. Assafrao, J. Phys.: Conf. Ser. 10.1088/1742-6596/388/5/052021 388, 052021 (2012).
8. T. F. O'Malley, L. Spruch, and L. Rosenberg, J. Math. Phys. 10.1063/1.1703735 2, 491 (1961).
9. T. F. O'Malley, L. Rosenberg, and L. Spruch, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.125.1300 125, 1300 (1962).
10. J. Ferch, B. Granitza, and W. Raith, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/18/13/008 18, L445 (1985).
11. J. Ferch, B. Granitza, and W. Raith, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/18/5/017 18, 967 (1985).
12. A. Mann and F. Linder, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/25/ 2/020 25, 533 (1992).
13. G. P. Karwasz, A. Karbowski, Z. Idziaszek, and R. S. Brusa, Nucl. Instrum. Methods Phys. Res., Sect. B 10.1016/j.nimb.2007.12.027 266, 471 (2008).
14. S. J. Buckman and J. Mitroy, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/22/9/010 22, 1365 (1989).
15. Z. Idziaszek and G. Karwasz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.064701 73, 064701 (2006). (Pubitemid 43855953)
16. Z. Idziaszek and G. Karwasz, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2009-00028-6 51, 347 (2009).
17. A. Zecca, G. P. Karwasz, and R. S. Brusa, Riv. Nuovo Cim. 10.1007/BF02742990 19 (3), 30 (1996).
18. G. P. Karwasz, A. Zecca, and R. S. Brusa, Riv. Nuovo Cim. 24 (1), 12 (2001).
19. T. S. Stein, W. E. Kauppila, V. Pol, J. H. Smart, and G. Jesion, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.17.1600 17, 1600 (1978).
20. J. M. Blatt and J. D. Jackson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.76.18 76, 18 (1949).
21. H. A. Bethe, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.76.38 76, 38 (1949).
22. T. F. O'Malley, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.1020 130, 1020 (1963).
23. D. E. Golden, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.151.48 151, 48 (1966).
24. T. F. O'Malley and R. W. Crompton, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/13/17/023 13, 3451 (1980).
25. G. N. Haddad and T. F. O'Malley, Aust. J. Phys. 35, 35 (1982).
26. S. J. Buckman and B. Lohmann, J. Phys. B: At. Mol. Phys. 10.1088/0022-3700/19/16/013 19, 2547 (1986).
27. M. Weyhreter, B. Barzick, A. Mann, and F. Linder, Z. Phys. D 10.1007/BF01439803 7, 333 (1987).
28. J. P. England and M. T. Elford, Aust. J. Phys. AUJPAS 0004-9506 10.1071/PH880701 41, 701 (1988).
29. M. Kurokawa, M. Kitajima, K. Toyoshima, T. Kishino, T. Odagiri, H. Kato, M. Hoshino, H. Tanaka, and K. Ito, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.062717 84, 062717 (2011).
30. M. Kitajima, M. Kurokawa, T. Kishino, K. Toyoshima, T. Odagiri, H. Kato, K. Anzai, M. Hoshino, H. Tanaka, and K. Ito, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2012-20629-0 66, 130 (2012).
31. B. Schmidt, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/24/22/018 24, 4809 (1991).
32. T. F. O'Malley, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.120 130, 120 (1963).
33. M. K. Ali and P. A. Fraser, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/10/15/018 10, 3091 (1977).
34. Z. Idziaszek, A. Simoni, T. Calarco, and P. S. Julienne, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/8/083005 13, 083005 (2011).
35. G. P. Karwasz, D. Pliszka, A. Zecca, and R. S. Brusa, Nucl. Instrum. Methods Phys. Res., Sect. B 10.1016/j.nimb.2005.04.115 240, 666 (2005). (Pubitemid 41562842)
36. 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 1050-2947 10.1103/PhysRevA.83.032701 83, 032701 (2011).
37. A. Zecca, L. Chiari, A. Sarkar, K. L. Nixon, and M. J. Brunger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.032702 80, 032702 (2009).
38. J. P. Sullivan, C. Makochekanwa, A. Jones, P. Caradonna, D. S. Slaughter, J. Machacek, R. P. McEachran, D. W. Mueller, and S. J. Buckman, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/44/3/035201 44, 035201 (2011).
39. O. Sueoka and S. Mori, J. Phys. Soc. Jpn. 10.1143/JPSJ.53.2491 53, 2491 (1984).
40. G. P. Karwasz, D. Pliszka, A. Zecca, and R. S. Brusa, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/1/001 38, 1 (2005). (Pubitemid 40141888)
41. G. Karwasz, R. S. Brusa, M. Barozzi, and A. Zecca, Nucl. Instrum. Methods Phys. Res., Sect. B 10.1016/S0168-583X(00)00035-5 171, 178 (2000).
42. A. Zecca, L. Chiari, A. Sarkar, K. L. Nixon, and M. J. Brunger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.032702 80, 032702 (2009).
43. J.-Y. Zhang, J. Mitroy, and K. Varga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.223202 103, 223202 (2009).
44. T. N. Olney, N. M. Cann, G. Cooper, and C. E. Brion, Chem. Phys. 0301-0104 10.1016/S0301-0104(97)00145-6 223, 59 (1997). (Pubitemid 127151709)
45. PHELPS database, http://www.lxcat.laplace.univ-tlse.fr;
46. R. W. Crompton, M. T. Elford, and R. L. Jory, Aust. J. Phys. AUJPAS 0004-9506 10.1071/PH670369 20, 369 (1967);
47. R. W. Crompton, M. T. Elford, and A. G. Robertson, Aust. J. Phys. AUJPAS 0004-9506 10.1071/PH700667 23, 667 (1970);
48. H. B. Milloy and R. W. Crompton, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.15.1847 15, 1847 (1977) at low energy, and M. Hayashi, Institute of Plasma Physics Report No. IPPJ-AM-19, 1981, at high energies.
49. D. Andrick and A. Bitsch, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/8/3/011 8, 393 (1975).
50. D. F. Register, S. Trajmar, and S. K. Srivastava, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.21.1134 21, 1134 (1980).
51. T. W. Shyn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.22.916 22, 916 (1980).
52. M. J. Brunger, S. J. Buckman, L. J. Allen, I. E. McCarthy, and K. Ratnavelu, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/25/8/016 25, 1823 (1992).
53. T. S. Stein, W. E. Kauppila, V. Pol, J. H. Smart, and G. Jesion, Phys. Rev. A 1050-2947 10.1103/PhysRevA.17.1600 17, 1600 (1978).
54. T. Mizogawa, Y. Nakayama, T. Kawaratani, and M. Tosaki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.2171 31, 2171 (1985).
55. J. P. Sullivan, C. Makochekanwa, A. Jones, P. Caradonna, and S. Buckman, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/41/8/081001 41, 081001 (2008). (Pubitemid 351587798)
56. R. P. McEachran, D. L. Morgan, A. G. Ryman, and A. D. Stauffer, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/10/4/018 10, 663 (1977).
57. J. Y. Zhang and J. Mitroy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.012703 78, 012703 (2008).
58. P. Van Reeth and J. W. Humberston, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/32/15/303 32, 3651 (1999).
59. H. B. Milloy, R. W. Maeda, J. A. Rees, and A. G. Robertson, Aust. J. Phys. AUJPAS 0004-9506 10.1071/PH770061 30, 61 (1977).
60. G. N. Haddad and T. F. O'Malley, Aust. J. Phys. 35, 35 (1982).
61. M. Weyhreter, B. Barzick, A. Mann, and F. Linder, Z. Phys. D ZDACE2 0178-7683 10.1007/BF01439803 7, 333 (1988).
62. S. K. Srivastava, H. Tanaka, A. Chutjian, and S. Trajmar, Phys. Rev. A 1050-2947 10.1103/PhysRevA.23.2156 23, 2156 (1981).
63. J. C. Gibson, R. J. Gulley, J. P. Sullivan, S. J. Buckman, V. Chan, and P. D. Burrow, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/29/14/025 29, 3177 (1996).
64. B. Mielewska, I. Linert, G. C. King, and M. Zubek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062716 69, 062716 (2004).
65. H. Cho and Y. S. Park, J. Korean Phys. Soc. KPSJAS 0374-4884 10.3938/jkps.55.459 55, 459 (2009).
66. A. Zecca, L. Chiari, E. Trainotti, D. V. Fursa, I. Bray, A. Sarkar, S. Chattopadhyay, K. Ratnavelu, and M. J. Brunger, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/45/1/015203 45, 015203 (2012).
67. R. P. McEachran, A. G. Ryman, and A. D. Stauffer, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/12/6/019 12, 1031 (1979).
68. S. Hara, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.22.710 22, 710 (1967).
69. G. P. Karwasz, A. Zecca, and R. S. Brusa, in Photon and Electron Interactions with Atoms, Molecules and Ions, Landolt-Börnstein New Series, Vol. I/17 (Springer-Verlag, Berlin, Heidelberg, 2003), pp. 6.1-6.51.
70. F. Linder and H. Schmidt, Z. Naturforsch. A 26, 1603 (1971).
71. S. K. Srivastava, A. Chutjian, and S. Trajmar, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.431659 63, 2659 (1975).
72. T. W. Shyn and W. E. Sharp, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.24.1734 24, 1734 (1981).
73. J. Furst, M. Mahgerefteh, and D. E. Golden, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.2256 30, 2256 (1984).
74. M. J. Brunger, S. J. Buckman, D. S. Newman, and D. T. Alle, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/24/6/027 24, 1435 (1991).
75. J. Muse, H. Silva, M. C. A. Lopes, and M. A. Khakoo, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/41/9/095203 41, 095203 (2008). (Pubitemid 351591150)
76. K. R. Hoffman, M. S. Dababneh, Y.-F. Hsieh, W. E. Kauppila, V. Pol, J. H. Smart, and T. S. Stein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.25.1393 25, 1393 (1982).
77. E. A. G. Armour and D. J. Baker, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/19/24/007 19, L871 (1986).
78. G. P. Karwasz, R. S. Brusa, and D. Pliszka, J. Phys.: Conf. Ser. 10.1088/1742-6596/199/1/012019 199, 012019 (2010).
79. B. Lohmann and S. J. Buckman, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/19/16/014 19, 2565 (1986).
80. W. Sohn, K. H. Kochem, K. M. Scheuerlein, K. Jung, and H. Ehrhardt, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/19/21/024 19, 3625 (1986).
81. D. K. Davies, L. E. Kline, and W. E. Bies, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.342642 65, 3311 (1989).
82. C. T. Bundschu, J. C. Gibson, R. J. Gulley, M. J. Brunger, S. J. Buckman, N. Sanna, and F. A. Gianturco, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/ 30/9/023 30, 2239 (1997).
83. L. Boesten and H. Tanaka, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/24/4/009 24, 821 (1991).
84. A. Jain, C. A. Weatherford, D. G. Thompson, and P. McNaughten, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.6730 40, 6730 (1989).
85. F. A. Gianturco, J. A. Rodriguez-Ruiz, and N. Sanna, J. Phys. B 10.1088/0953-4075/28/7/020 28, 1287 (1995).
86. O. Sueoka and S. Mori, J. Phys. B JPAPEH 0953-4075 10.1088/0022-3700/19/ 23/021 19, 4035 (1986).
87. M. S. Dababneh, Y.-F. Hsieh, W. E. Kauppila, C. K. Kwan, Steven J. Smith, T. S. Stein, and M. N. Uddin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.1207 38, 1207 (1988).
88. A. Zecca, L. Chiari, E. Trainotti, A. Sarkar, S. d'A. Sanchez, M. H. F. Bettega, M. T. do N. Varella, M. A. P. Lima, and M. J. Brunger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.012707 85, 012707 (2012).