Correlated dipole-polarized basis in Schwinger's principle for elastic positron-hydrogen collisions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 4, 2005, Pages

  Ghoshal, Arijit ^a   Mandal, Puspajit ^b  

^a Suri Vidyasagar College   (India)

^b VISVA BHARATI UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

POSITRON-ELECTRON CORRELATION; SCHWINGER VARIATIONAL PRINCIPLE;

CONFORMATIONS; CORRELATION METHODS; ELECTRONS; HYDROGEN; PARAMETER ESTIMATION; POLARIZATION;

POSITRONS;

EID: 28844439340     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.042709     Document Type: Article

References (107)

1. L. Hulthen, K. Fysiogr. Saellsk. Lund, Foerh. KFSLAW 0368-5349 14, 21 (1944);
2. L. Hulthen, Ark. Mat., Astron. Fys. AMAFAX 0365-4133 35A 25 (1948).
3. I. G. Tamm, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 14, 21 (1948);
4. I. G. Tamm, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 18, 337 (1948);
5. I. G. Tamm, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 19, 74 (1949).
6. J. Schwinger, Phys. Rev. PHRVAO 0031-899X 72, 742 (1947).
7. W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.74.1763 74, 1763 (1948).
8. S. Huang, Phys. Rev. PHRVAO 0031-899X 75, 980 (1949);
9. S. Huang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.76.477 76, 477 (1949);
10. S. Huang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.76.866 76, 866 (1949);
11. M. Verde, Helv. Phys. Acta HPACAK 0018-0238 22, 339 (1949);
12. H. Feshbach and S. I. Rubinow, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.88.484 88, 484 (1952);
13. H. E. Moses, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.92.817 92, 817 (1953);
14. R. E. B. Makinson and J. S. Turner, Proc. Phys. Soc., London, Sect. A PPSAAM 0370-1298 66, 857 (1953);
15. R. E. B. Makinson and J. S. Turner, Proc. Phys. Soc., London, Sect. A PPSAAM 0370-1298 66, 866 (1953);
16. S. I. Rubinow, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.98.183 98, 183 (1955);
17. M. Moe and D. S. Saxon, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.111. 950 111, 950 (1958);
18. F. E. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.19. 173 19, 173 (1967);
19. J. Nuttall, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(69) 90287-5 52, 428 (1969).
20. J. M. Blatt and J. D. Jackson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.76.18 76, 18 (1949).
21. T. Kato, Prog. Theor. Phys. PTPKAV 0033-068X 6, 195 (1951).
22. J. M. Blatt and L. C. Biedenharn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.86.399 86, 399 (1952);
23. J. M. Blatt and L.C. Biedenharn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.93.1387 93, 1387 (1954).
24. N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions (Oxford University Press, New York, 1965). 3rd ed.
25. B. L. Moiseiwitsch, Variational Principles (Wiley, New York, 1966).
26. C. J. Joachain, Quantum Collision Theory (North-Holland, New York, 1979), pp. 225-242.
27. P. G. Burke, Potential Scattering in Atomic Physics (Plenum, London, 1977).
28. B. H. Bransden, Atomic Collision Theory (Benjamin-Cummins, Reading, MA, 1983), pp. 59-109.
29. B. W. Schmid and H. Ziegelmann, The Quantum Mechanical Three-Body Problem (Pergamon, Oxford, 1974), pp. 163-205
30. R. K. Nesbet, Variational Methods in Electron-Atom Scattering Theory (Plenum, New York, 1980).
31. R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966).
32. S. Altshuler, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.89.1278 89, 1278 (1953).
33. C. Schwartz, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.141.1468 141, 1468 (1966).
34. M. A. Abdel-Raouf, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90) 90054-6 108, 1 (1984).
35. H. E. Saraph, Proc. Phys. Soc. London PPSOAU 0370-1328 77, 827 (1961).
36. T. L. John, Proc. Phys. Soc. London PPSOAU 0370-1328 76, 532 (1960).
37. R. R. Lucchese and V. McKoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.28.1382 28, 1382 (1983).
38. D. K. Watson and V. McKoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.20.1474 20, 1474 (1979).
39. R. R. Lucchese, D. K. Watson, and V. McKoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.22.421 22, 421 (1980).
40. R. R. Lucchese, K. Takatsuka, and V. McKoy, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(86)90147-X 131, 147 (1986).
41. K. Takatsuka and V. McKoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.23.2352 23, 2352 (1981).
42. K. Takatsuka and V. McKoy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.45.1396 45, 1396 (1980);
43. K. Takatsuka and V. McKoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.24.2473 24, 2473 (1981);
44. K. Takatsuka and V. McKoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.23.2352 23, 2352 (1981).
45. K. Takatsuka and V. McKoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.24.2473 24, 2473 (1981).
46. H. P. Pritchard, M. A. P. Lima, and V. McKoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.2392 39, 2392 (1989).
47. F. E. Harris and H. H. Michels, Methods Comput. Phys. MCOPBQ 0076-6860 10, 143 (1971);
48. F. E. Harris and H. H. Michels, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.22.1036 22, 1036 (1969).
49. R. K. Nesbet and R. S. Oberoi, Adv. Quantum Chem. AQCHA9 0065-3276 9, 215 (1975);
50. R. K. Nesbet and R. S. Oberoi, Adv. At. Mol. Phys. AAMOA2 0065-2199 13, 315 (1977).
51. I. H. Sloan and S. K. Adhikari, Nucl. Phys. A NUPABL 0375-9474 235, 352 (1974);
52. I. H. Sloan and S. K. Adhikari, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(75)90396-6 241, 429 (1975).
53. A. L. Zubarev, Sov. Phys. J. SOPJAQ 0038-5697 29, 281 (1979);
54. A. L. Zubarev, Sov. J. Part. Nucl. SJPNA3 0090-4759 7, 215 (1976).
55. V. B. Balayev, A. P. Podkopayev, J. Wrzeionko, and A. L. Zubarev, J. Phys. B JPAMA4 0022-3700 12, 1225 (1979).
56. J. Nuttal, in The Padé Approximant in Theoretical Physics, edited by, George A Baker, Jr., and, J. L. Gammel, (Academic, New York, 1970), p. 219.
57. C. Schwartz and C. Zemach, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.141.1454 141, 1454 (1966).
58. N. Maleki, Ph.D. thesis, University of Nebraska, 1981 (unpublished).
59. N. Maleki and J. Macek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.21.1403 21, 1403 (1980).
60. S. K. Adhikari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.6 42, 6 (1990).
61. Y. Hahn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.26.808 26, 808 (1982).
62. W. Domcke, J. Phys. B JPAMA4 0022-3700 12, 2675 (1982).
63. D. K. Watson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.29.558 29, 558 (1984);
64. D. K. Watson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.1016 34, 1016 (1986);
65. D. K. Watson, J. Phys. B JPAMA4 0022-3700 19, 293 (1986).
66. K. Takatsuka and V. McKoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.23.2359 23, 2359 (1981).
67. R. Sugar and R. Blankenbecler, Phys. Rev. PRVBAK 0096-8269 136B, 472 (1964).
68. B. L. Moiseiwitsch, J. Phys. B JPAMA4 0022-3700 15, L609 (1982);
69. B. L. Moiseiwitsch, J. Phys. B JPAMA4 0022-3700 15, L863 (1982);
70. B. L. Moiseiwitsch, Proc. Phys. Soc. London PPSOAU 0370-1328 72, 139 (1958).
71. R. S. Singh and A. D. Stauffer, Nuovo Cimento Soc. Ital. Fis., B NIFBAP 0369-4100 25, 547 (1975).
72. A. L. Zubarev, Theor. Math. Phys. TMPHAH 0040-5779 30, 45 (1977).
73. B. I. Schneider and L. A. Collins, Phys. Rev. B PRBMDO 0163-1829 136B, 472 (1981);
74. B. T. Sneider and L. A. Collins, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/14/3/013 14, L101 (1981).
75. U. Roy and P. Mandal, J. Phys. B JPAPEH 0953-4075 22, L261 (1989);
76. U. Roy and P. Mandal, J. Phys. B JPAPEH 0953-4075 23, L55 (1990);
77. U. Roy and P. Mandal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48. 2952 48, 2952 (1993);
78. U. Roy and P. Mandal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48. 2952 48, 2952 (1993).
79. S. Kar and P. Mandal, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/30/ 19/001 30, L627 (1997).
80. S. Kar and P. Mandal, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/32/ 10/301 32, 2297 (1999);
81. S. Kar and P. Mandal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59. 1913 59, 1913 (1999);
82. S. Kar and P. Mandal, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/33/5/ 103 33, L165 (2000);
83. S. Kar and P. Mandal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62. 052514 62, 052514 (2000).
84. C. Schwartz, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124.1468 124, 1468 (1961).
85. A. K. Bhatia, A. Temkin, R. J. Drachman, and H. Eiserike, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.1328 3, 1328 (1971).
86. A. K. Bhatia, A. Temkin, and H. Eiserike, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.9.219 9, 219 (1974).
87. Y. F. Chan and P. A. Fraser, J. Phys. B JPAMA4 0022-3700 6, 2504 (1973).
88. Y. F. Chan and R. P. McEachran, J. Phys. B JPAMA4 0022-3700 9, 2869 (1976).
89. J. W. Humberston, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/17/11/026 17, 2353 (1984).
90. C. J. Brown and J. W. Humberston, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/17/12/008 17, L423 (1984);
91. C. J. Brown and J. W. Humberston, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/18/12/010 18, L401 (1985).
92. J. Mitroy, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/29/7/004 29, L263 (1996);
93. J. Mitroy, Aust. J. Phys. AUJPAS 0004-9506 48, 645 (1995);
94. J. Mitroy, Aust. J. Phys. AUJPAS 0004-9506 48, 893 (1995).
95. J. R. Winick and W. P. Reinhardt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.18.925 18, 925 (1978).
96. R. Damburg and E. Karule, Proc. Phys. Soc. London PPSOAU 0370-1328 10.1088/0370-1328/90/3/309 90, 637 (1967).
97. R. M. Sternheimer, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.96.951 96, 951 (1954).
98. A. Temkin and J. C. Lamkin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.121.788 121, 788 (1961).
99. S. K. Houston and R. J. Drachman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.1335 3, 1335 (1971).
100. J. W. Humberston and J. B. Wallace, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/5/6/016 5, 1138 (1972).
101. C. J. Keinman, Y. Hahn, and L. Spruch, Phys. Rev. PRVAAH 0096-8250 140A, 413 (1965).
102. R. L. Armstead, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.171.91 171, 91 (1968).
103. Y. R. Kuang and T. T. Gien, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.256 55, 256 (1997).
104. T. T. Gien, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/30/1/004 30, L23 (1997).
105. A. A. Kernoghan, D. J. R. Robinson, M. T. McAlinden, and H. R. J. Walters, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/29/10/017 29, 2089 (1996).
106. I. Bray and A. T. Stelbovics, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.49.R2224 49, R2224 (1994).
107. M. Basu, M. Mukherjee, and A. S. Ghosh, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/23/1/004 23, 1 (1990).