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Electron-scattering on molecular hydrogen: convergent close-coupling approach

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Abstract

Calculations of electron-impact excitation cross sections for molecular hydrogen have been performed using spherical- and spheroidal-coordinate formulations of the molecular convergent close-coupling method. We present a comparison and find good agreement between the results of these two techniques performed within the fixed-nuclei approximation for excitation from the ground X1Σg+ (v = 0) state of H2 to the B1Σu+ , C 1Πu, B′1Σu+ , D 1Πu, EF1Σg+ , b3Σu+ , c3Πu+ , a3Σu+ , e3Σu+ , h3Σg+ , and d 3Πu states. For the spheroidal-coordinate approach the adiabatic-nuclei method has been applied, allowing for a more reliable estimate of cross sections at near-threshold energies. Comparison of the adiabatic-nuclei cross sections with the corresponding fixed-nuclei cross sections is also presented.

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References

  1. C.M. Samuell, C.S. Corr, Plasma Sources Sci. Technol. 25, 015014 (2016)

    ADS  Google Scholar 

  2. K. Sawada, M. Goto, Atoms 4, 29 (2016)

    ADS  Google Scholar 

  3. D. Shemansky, X. Liu, H. Melin, Planet. Space Sci. 57, 1659 (2009)

    ADS  Google Scholar 

  4. H. Melin, D.E. Shemansky, X. Liu, Planet. Space Sci. 57, 1743 (2009)

    ADS  Google Scholar 

  5. H. Abgrall, E. Roueff, X. Liu, D.E. Shemansky, ApJ 481, 557 (1997)

    ADS  Google Scholar 

  6. T. Stephens, A. Dalgarno, J. Quant. Spectrosc. Radiat. Transfer 12, 569 (1972)

    ADS  Google Scholar 

  7. Y. Ju, W. Sun, Prog. Energy Combust. Sci. 48, 21 (2015)

    Google Scholar 

  8. W.T. Miles, R. Thompson, A.E.S. Green, J. Appl. Phys. 43, 678 (1972)

    ADS  Google Scholar 

  9. H. Tawara, Y. Itikawa, H. Nishimura, M. Yoshino, J. Phys. Chem. Ref. Data 19, 617(1990)

    ADS  Google Scholar 

  10. A. Zecca, G.P. Karwasz, R.S. Brusa, Riv. Nuovo Cimento 19, 1 (1996)

    MathSciNet  Google Scholar 

  11. M.J. Brunger, S.J. Buckman, Phys. Rep. 357, 215 (2002)

    ADS  Google Scholar 

  12. B.G. Lindsay, M.A. Mangan, in Photon and Electron Interactions with Atoms, Molecules and Ions, Landolt-Börnstein, New Series, Goup I, Pt. C, edited by Y. Itikawa (Springer, New York, 2003), Vol. 17

  13. R. Janev, D. Reiter, U. Samm, Collision processes in low-temperature hydrogen plasmas, Forschungszentrum Jülich, Zentralbibliothek (2003)

  14. J.S. Yoon, M.Y. Song, J.M. Han, S.H. Hwang, W.S. Chang, B. Lee, Y. Itikawa, J. Phys. Chem. Ref. Data 37, 913 (2008)

    ADS  Google Scholar 

  15. D.V. Fursa, M.C. Zammit, R.L. Threlfall, J.S. Savage, I. Bray, Phys. Rev. A 96, 022709 (2017)

    ADS  Google Scholar 

  16. M.C. Zammit, J.S. Savage, D.V. Fursa, I. Bray, Phys. Rev. A 95, 022708 (2017)

    ADS  Google Scholar 

  17. M.C. Zammit, J.S. Savage, D.V. Fursa, I. Bray, Phys. Rev. Lett. 116, 233201 (2016)

    ADS  Google Scholar 

  18. T.N. Rescigno, C.W. McCurdy, V. McKoy, C.F. Bender, Phys. Rev. A 13, 216 (1976)

    ADS  Google Scholar 

  19. A.W. Fliflet, V. McKoy, Phys. Rev. A 21, 1863 (1980)

    ADS  Google Scholar 

  20. L. Mu-Tao, R.R. Lucchese, V. McKoy, Phys. Rev. A 26, 3240 (1982)

    ADS  Google Scholar 

  21. T.N. Rescigno, B.I. Schneider, J. Phys. B: At., Mol. Opt. Phys. 21, L691 (1988)

    ADS  Google Scholar 

  22. S.D. Parker, C.W. McCurdy, T.N. Rescigno, B.H. Lengsfield, Phys. Rev. A 43, 3514 (1991)

    ADS  Google Scholar 

  23. M.A.P. Lima, T.L. Gibson, W.M. Huo, V. McKoy, J. Phys. B: At., Mol. Opt. Phys. 18, L865 (1985)

    Google Scholar 

  24. T.L. Gibson, M.A.P. Lima, V. McKoy, W.M. Huo, Phys. Rev. A 35, 2473 (1987)

    ADS  Google Scholar 

  25. M.A.P. Lima, T.L. Gibson, V. McKoy, W.M. Huo, Phys. Rev. A 38, 4527 (1988)

    ADS  Google Scholar 

  26. B.I. Schneider, L.A. Collins, J. Phys. B: At., Mol. Opt. Phys. 18, L857 (1985)

    ADS  Google Scholar 

  27. A.M. Machado, M.M. Fujimoto, A.M.A. Taveira, L.M. Brescansin, M.T. Lee, Phys. Rev. A 63, 032707 (2001)

    ADS  Google Scholar 

  28. S.E. Branchett, J. Tennyson, L.A. Morgan, J. Phys. B: At., Mol. Opt. Phys. 23, 4625 (1990)

    ADS  Google Scholar 

  29. S.E. Branchett, J. Tennyson, L.A. Morgan, J. Phys. B: At., Mol. Opt. Phys. 24, 3479 (1991)

    ADS  Google Scholar 

  30. R.F. da Costa, F.J. da Paixão, M.A.P. Lima, J. Phys. B: At., Mol. Opt. Phys. 38, 4363 (2005)

    ADS  Google Scholar 

  31. L.R. Hargreaves, S. Bhari, B. Adjari, X. Liu, R. Laher, M. Zammit, J.S. Savage, D.V. Fursa, I. Bray, M.A. Khakoo, J. Phys. B: At., Mol. Opt. Phys. 50, 225203 (2017)

    ADS  Google Scholar 

  32. M. Zawadzki, M.A. Khakoo, Phys. Rev. A 99, 042703 (2019)

    ADS  Google Scholar 

  33. M. Zawadzki, R. Wright, G. Dolmat, M.F. Martin, B. Diaz, L. Hargreaves, D. Coleman, D.V. Fursa, M.C. Zammit, L.H. Scarlett, J.K. Tapley, J.S. Savage, I. Bray, M.A. Khakoo, Phys. Rev. A 98, 062704 (2018)

    ADS  Google Scholar 

  34. M. Zawadzki, R. Wright, G. Dolmat, M.F. Martin, L. Hargreaves, D.V. Fursa, M.C. Zammit, L.H. Scarlett, J.K. Tapley, J.S. Savage, I. Bray, M.A. Khakoo, Phys. Rev. A 97, 050702(R) (2018)

    ADS  Google Scholar 

  35. N.F. Lane, Rev. Mod. Phys. 52, 29 (1980)

    ADS  Google Scholar 

  36. R. Celiberto, M. Capitelli, A. Laricchiuta, Phys. Scr. 2002, 32 (2002)

    Google Scholar 

  37. A. Laricchiuta, R. Celiberto, F. Esposito, M. Capitelli, Plasma Sources Sci. Technol. 15, S62 (2006)

    ADS  Google Scholar 

  38. G. Colonna, L.D. Pietanza, G. D’Ammando, R. Celiberto, M. Capitelli, A. Laricchiuta, Eur. Phys. J. D 71, 279 (2017)

    ADS  Google Scholar 

  39. L.H. Scarlett, J.S. Savage, D.V. Fursa, M.C. Zammit, I. Bray, Atoms 7 (2019)

  40. J.K. Tapley, L.H. Scarlett, J.S. Savage, D.V. Fursa, M.C. Zammit, I. Bray, Phys. Rev. A 98, 032701 (2018)

    ADS  Google Scholar 

  41. J.K. Tapley, L.H. Scarlett, J.S. Savage, M.C. Zammit, D.V. Fursa, I. Bray, J. Phys. B: At., Mol. Opt. Phys. 51, 144007 (2018)

    ADS  Google Scholar 

  42. L.H. Scarlett, J.K. Tapley, D.V. Fursa, M.C. Zammit, J.S. Savage, I. Bray, Eur. Phys. J. D 72, 34 (2018)

    ADS  Google Scholar 

  43. L.H. Scarlett, J.K. Tapley, J.S. Savage, D.V. Fursa, M.C. Zammit, I. Bray, Plasma Sources Sci. Technol. 28, 025004 (2019)

    ADS  Google Scholar 

  44. M.C. Zammit, D.V. Fursa, J.S. Savage, I. Bray, J. Phys. B: At., Mol. Opt. Phys. 50, 123001 (2017)

    ADS  Google Scholar 

  45. M.C. Zammit, D.V. Fursa, I. Bray, Phys. Rev. A 90, 022711 (2014)

    ADS  Google Scholar 

  46. M.C. Zammit, J.S. Savage, J. Colgan, D.V. Fursa, D.P. Kilcrease, I. Bray, C.J. Fontes, P. Hakel, E. Timmermans, Astrophys. J. 64, 851 (2017)

    Google Scholar 

  47. I. Bray, A.T. Stelbovics, Phys. Rev. A 46, 6995 (1992)

    ADS  Google Scholar 

  48. J.Y. Zhang, J. Mitroy, Phys. Rev. A 83, 022711 (2011)

    ADS  Google Scholar 

  49. L.H. Scarlett, J.K. Tapley, D.V. Fursa, M.C. Zammit, J.S. Savage, I. Bray, Phys. Rev. A 96, 062708 (2017)

    ADS  Google Scholar 

  50. L. Wolniewicz, G. Staszewska, J. Mol. Spectrosc. 220, 45 (2003)

    ADS  Google Scholar 

  51. W. Kolos, K. Szalewicz, H.J. Monkhorst, J. Chem. Phys. 84, 3278 (1986)

    ADS  Google Scholar 

  52. W. Kolos, L. Wolniewicz, J. Chem. Phys. 43, 2429 (1965)

    ADS  Google Scholar 

  53. W. Kolos, L. Wolniewicz, J. Chem. Phys. 48, 3672 (1968)

    ADS  Google Scholar 

  54. W. Kolos, J. Rychlewski, J. Mol. Spectrosc. 66, 428 (1977)

    ADS  Google Scholar 

  55. G. Staszewska, L. Wolniewicz, J. Mol. Spectrosc. 212, 208 (2002)

    ADS  Google Scholar 

  56. J.W. Liu, S. Hagstrom, Phys. Rev. A 48, 166 (1993)

    ADS  Google Scholar 

  57. W. Kolos, J. Rychlewski, J. Mol. Spectrosc. 143, 237 (1990)

    ADS  Google Scholar 

  58. T.E. Sharp, At., Data Nucl. Data Tables 2, 119 (1971)

    ADS  Google Scholar 

  59. G. Staszewska, L. Wolniewicz, J. Mol. Spectrosc. 198, 416 (1999)

    ADS  Google Scholar 

  60. L. Wolniewicz, J. Chem. Phys. 99, 1851 (1993)

    ADS  Google Scholar 

  61. T. Orlikowski, G. Staszewska, L. Wolniewicz, Mol. Phys. 96, 1445 (1999)

    ADS  Google Scholar 

  62. L. Wolniewicz, G. Staszewska, J. Mol. Spectrosc. 217, 181 (2003)

    ADS  Google Scholar 

  63. A.E. Orel, T.N. Rescigno, B.H. Lengsfield, Phys. Rev. A 44, 4328 (1991)

    ADS  Google Scholar 

  64. L.H. Scarlett, D.V. Fursa, M.C. Zammit, I. Bray, Yu Ralchenko, K. Davie, At., Data Nucl. Data Tables (2020, submitted)

  65. M.A. Khakoo, S. Trajmar, Phys. Rev. A 34, 138 (1986)

    ADS  Google Scholar 

  66. J. Wrkich, D. Mathews, I. Kanik, S. Trajmar, M.A. Khakoo, J. Phys. B: At., Mol. Opt. Phys. 35, 4695 (2002)

    ADS  Google Scholar 

  67. H. Nishimura, A. Danjo, J. Phys. Soc. Jpn. 55, 3031 (1986)

    ADS  Google Scholar 

  68. E. Krishnakumar, S.K. Srivastava, J. Phys. B: At., Mol. Opt. Phys. 27, L251 (1994)

    ADS  Google Scholar 

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Authors and Affiliations

  1. Curtin Institute for Computation and Department of Physics and Astronomy, Curtin University, Perth, Western Australia, 6102, Australia

    Liam H. Scarlett, Jeremy S. Savage, Dmitry V. Fursa & Igor Bray

  2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    Mark C. Zammit

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  1. Liam H. Scarlett
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Correspondence to Liam H. Scarlett.

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Contribution to the Topical Issue “Low-Energy Positron and Positronium Physics and Electron-Molecule Collisions and Swarms (POSMOL 2019)” edited by Michael Brunger, David Cassidy, Saša Dujko, Dragana Marić, Joan Marler, James Sullivan, Juraj Fedo.

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Scarlett, L.H., Savage, J.S., Fursa, D.V. et al. Electron-scattering on molecular hydrogen: convergent close-coupling approach. Eur. Phys. J. D 74, 36 (2020). https://doi.org/10.1140/epjd/e2020-100549-0

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