Interaction of Low-Energy Positrons with Mg Atoms: Elastic Scattering, Bound States, and Annihilation
Annihilations, phase shifts, scattering lengths and
elastic cross sections of low energy positrons scattering from
magnesium atoms were studied using the least-squares variational
method (LSVM). The possibility of positron binding to the
magnesium atoms is investigated. A trial wave function is suggested
to represent e+-Mg elastic scattering and scattering parameters were
derived to estimate the binding energy and annihilation rates. The
trial function is taken to depend on several adjustable parameters, and
is improved iteratively by increasing the number of terms. The
present results have the same behavior as reported semi-empirical,
theoretical and experimental results. Especially, the estimated
positive scattering length supports the possibility of positronmagnesium
bound state system that was confirmed in previous
experimental and theoretical work.
[1] K. Fedus and G.P. Karwasz, Acta Physica Polonica A. Vol. 125, 3, 2014.
[2] J. R. Danielson, A. C. L. Jones, M. R. Natisin, and C. M. Surko, Phys. Rev. A 88, 062702, 2013.
[3] M W J Bromley, J Mitroy and G Ryzhikh, J. Phys. B: At. Mol. Opt. Phys. 31, 4449–4458, 1998.
[4] Surko C M and Greaves R G Phys. Plasmas (11) 2333, (2004).
[5] C. M. Surko, G. F. Gribakinand S. J. Buckman Journ. Phys. B: At. Mol. Opt. Phys. 38, R57-R126, (2005).
[6] Hulett L D, Donohue D L, Xu J, Lewis T A, McLuckey S A and Glish G L Chem. Phys. Lett. 216, 236, 1993.
[7] J. P. Peng et al., Phys. Rev. Lett. 76, 2157 1996.
[8] Kurtz H A and Jordan K D. J. Phys. B: At. Mol. Phys. 14, 4361, 1981.
[9] Szmytkowski R J. Physique II 3, 183, 1993.
[10] Ryzhikh G G, Mitroy J and Varga K J. Phys. B: At. Mol. Opt. Phys. 31, 3965, 1998.
[11] Hewitt R N, Noble C J, Bransden B H and Joachain C J Can. J. Phys. 74, 559, 1996.
[12] C M Surko, J R Danielson, G F Gribakin, and R E Continetti G, New Journal of Physics 14, 65004, 2012.
[13] V. A. Dzuba and V.V. Flambaum, Physical Review Letters, PRL 105, 203401, 2010.
[14] M.A. Abdel-Raouf, Phys.Rep.108 pp1-164 1984.
[15] M. M. Abdel-Mageed, M. Abdel-Aziz, and H.S. Zaghloul, AIP Conference Proceedings. 888, 358-365, 2007.
[16] Mahasen M. Abdel-Mageed, Brazilian Journal of Physics, vol. 40, no. 1, March, 2010.
[17] Ali H. Moussa, G. M. Mostafa and Atef Khazbak, J. Quant. Spect. and Rad. Tran., 77, Issue 2, 225-230, 2003.
[18] M.A.El-Aasar, M.A. and Abdel-Raouf, J. Phys. B: At. Mol. Phys 40, 1801-1819, 2007.
[19] M W J Bromley, J Mitroy and G Ryzhikh J. Phys. B: At. Mol. Opt. Phys. 31 4449–4458, 1998.
[20] Robert D.Cowan, “The Theory of Atomic Structure and Spectra Univ. of California Press, 1981; Phys.Rev.163, 54, 1967.
[21] E. W. Schmid and K.H. Hoffmann, Nucl.Phys.A175, 443, 1971.
[22] E. W. Schmid, Nucl. Phys. A180, 434 1972; Nuovo Cim. A18, 171, 1973.
[23] J Mitroy, M W J Bromley and G G Ryzhikh, J. Phys. B: At.Mol. Opt. Phys. 35 R81–R116, 2002.
[24] V. A. Dzuba, V. V. Flambaum, G. F. Gribakin, and W. A. King, Physical Review A, 52:4541–4546, 1995.
[25] G. G. Ryzhikh and J. Mitroy, Physical Review Letters, 79, 4124-4126, 1997.
[26] J. Mitroy, M W J Bromley, and G G Ryzhikh. Journal of Physics B, 35:R81, 2002.
[27] J. Mitroy and I. A. Ivanov, Phys.Rev. A65, 42705 2002.
[28] G. F. Gribakin W.A. King Can. J. Phys 74, 449-454 1996
[29] T. S. Stein, M. Harte, J. Jiang, W. E. Kauppila, C. K. Kwan, H. Li, and S. Zhou, Nucl. Instrum. Methods Phys. Res. B 143, 68, 1998.
[30] J. W. Humberston Adv. At. Mol. Phys. 15, 101, 1979.
[31] P. A. Fraser, Adv. At. Mol. Phys. 4, 63, 1968.
[1] K. Fedus and G.P. Karwasz, Acta Physica Polonica A. Vol. 125, 3, 2014.
[2] J. R. Danielson, A. C. L. Jones, M. R. Natisin, and C. M. Surko, Phys. Rev. A 88, 062702, 2013.
[3] M W J Bromley, J Mitroy and G Ryzhikh, J. Phys. B: At. Mol. Opt. Phys. 31, 4449–4458, 1998.
[4] Surko C M and Greaves R G Phys. Plasmas (11) 2333, (2004).
[5] C. M. Surko, G. F. Gribakinand S. J. Buckman Journ. Phys. B: At. Mol. Opt. Phys. 38, R57-R126, (2005).
[6] Hulett L D, Donohue D L, Xu J, Lewis T A, McLuckey S A and Glish G L Chem. Phys. Lett. 216, 236, 1993.
[7] J. P. Peng et al., Phys. Rev. Lett. 76, 2157 1996.
[8] Kurtz H A and Jordan K D. J. Phys. B: At. Mol. Phys. 14, 4361, 1981.
[9] Szmytkowski R J. Physique II 3, 183, 1993.
[10] Ryzhikh G G, Mitroy J and Varga K J. Phys. B: At. Mol. Opt. Phys. 31, 3965, 1998.
[11] Hewitt R N, Noble C J, Bransden B H and Joachain C J Can. J. Phys. 74, 559, 1996.
[12] C M Surko, J R Danielson, G F Gribakin, and R E Continetti G, New Journal of Physics 14, 65004, 2012.
[13] V. A. Dzuba and V.V. Flambaum, Physical Review Letters, PRL 105, 203401, 2010.
[14] M.A. Abdel-Raouf, Phys.Rep.108 pp1-164 1984.
[15] M. M. Abdel-Mageed, M. Abdel-Aziz, and H.S. Zaghloul, AIP Conference Proceedings. 888, 358-365, 2007.
[16] Mahasen M. Abdel-Mageed, Brazilian Journal of Physics, vol. 40, no. 1, March, 2010.
[17] Ali H. Moussa, G. M. Mostafa and Atef Khazbak, J. Quant. Spect. and Rad. Tran., 77, Issue 2, 225-230, 2003.
[18] M.A.El-Aasar, M.A. and Abdel-Raouf, J. Phys. B: At. Mol. Phys 40, 1801-1819, 2007.
[19] M W J Bromley, J Mitroy and G Ryzhikh J. Phys. B: At. Mol. Opt. Phys. 31 4449–4458, 1998.
[20] Robert D.Cowan, “The Theory of Atomic Structure and Spectra Univ. of California Press, 1981; Phys.Rev.163, 54, 1967.
[21] E. W. Schmid and K.H. Hoffmann, Nucl.Phys.A175, 443, 1971.
[22] E. W. Schmid, Nucl. Phys. A180, 434 1972; Nuovo Cim. A18, 171, 1973.
[23] J Mitroy, M W J Bromley and G G Ryzhikh, J. Phys. B: At.Mol. Opt. Phys. 35 R81–R116, 2002.
[24] V. A. Dzuba, V. V. Flambaum, G. F. Gribakin, and W. A. King, Physical Review A, 52:4541–4546, 1995.
[25] G. G. Ryzhikh and J. Mitroy, Physical Review Letters, 79, 4124-4126, 1997.
[26] J. Mitroy, M W J Bromley, and G G Ryzhikh. Journal of Physics B, 35:R81, 2002.
[27] J. Mitroy and I. A. Ivanov, Phys.Rev. A65, 42705 2002.
[28] G. F. Gribakin W.A. King Can. J. Phys 74, 449-454 1996
[29] T. S. Stein, M. Harte, J. Jiang, W. E. Kauppila, C. K. Kwan, H. Li, and S. Zhou, Nucl. Instrum. Methods Phys. Res. B 143, 68, 1998.
[30] J. W. Humberston Adv. At. Mol. Phys. 15, 101, 1979.
[31] P. A. Fraser, Adv. At. Mol. Phys. 4, 63, 1968.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:71305", author = "Mahasen M. Abdel-Mageed and H. S. Zaghloul", title = "Interaction of Low-Energy Positrons with Mg Atoms: Elastic Scattering, Bound States, and Annihilation", abstract = "Annihilations, phase shifts, scattering lengths and
elastic cross sections of low energy positrons scattering from
magnesium atoms were studied using the least-squares variational
method (LSVM). The possibility of positron binding to the
magnesium atoms is investigated. A trial wave function is suggested
to represent e+-Mg elastic scattering and scattering parameters were
derived to estimate the binding energy and annihilation rates. The
trial function is taken to depend on several adjustable parameters, and
is improved iteratively by increasing the number of terms. The
present results have the same behavior as reported semi-empirical,
theoretical and experimental results. Especially, the estimated
positive scattering length supports the possibility of positronmagnesium
bound state system that was confirmed in previous
experimental and theoretical work.", keywords = "Bound wave function, Positron Annihilation,
scattering phase shift, scattering length.", volume = "9", number = "7", pages = "425-5", }