Screening Constant by Unit Nuclear Charge Photoionization of Rb\(^{2+}\) Ions

I. Sakho


Photoionization data of the trans-Fe element Rb\({}^{2+}\) are reported. Rydberg series 4s\({}^{2}\)4p\({}^{4}\)(\({}^{1}\)D\({}_{2}\))nd and 4s\({}^{2}\)4p\({}^{4}\)(\({}^{3}\)P\({}_{1}\))nd Rydberg series of Rb\({}^{2+}\) from the \({}^{2}\)P\({}^\circ\)\({}_{3}\)\({}_{/}\)\({}_{2}\) ground state and the \({}^{2}\)P\({}^\circ\)\({}_{1/2}\) metastable state of Rb\({}^{2+}\) converging respectively to the 4s\({}^{2}\)4p\({}^{4}\)(\({}^{1}\)D\({}_{2}\)) 4s\({}^{2}\)4p\({}^{4}\)(\({}^{3}\)P\({}_{1}\)) series limit in Rb\({}^{3}\)\({}^{+}\) are considered.\ Calculations are performed in the framework of the Screening constant by unit nuclear charge (SCUNC) method. Accurate data are tabulated up to $n=40$.\ It is shown that the SCUNC analytical formulas reproduce with an excellent precision, recent ALS measurements of Macaluso et al. [J. Phys. B: At. Mol. Opt. Phys. 49 (2016), 235002; 50 (2017), 119501)]. The energy deviations with respect to the ALS data are equal to 0.001 eV. New data are tabulated for \(n=21-40\).


Photoionization; Rydberg series; Ground state; Metastable state; SCUNC

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D. Kilbane, F. Folkmann, J.-M. Bizau, C. Banahan, S. Scully, H. Kjeldsen, P. van Kampen, M. W. D. Mansfield, J. T. Costello and J. B. West, Phys. Rev. A 75 (2007), 032711, DOI: 10.1103/PhysRevA.75.032711.

A. Mueller, D. Macaluso, N. Sterling, A. Juarez, I. Dumitriu, R. Bilodeau, E. Red, D. Hardy and A. Aguilar, Bull. Am. Phys. Soc. 58 (2013), Q1.00141, URL:

C. Sneden, R. G. Gratton and D. A. Crocker, Astron. & Astrophys. 246 (1991), 354.

T. V. Mishenina, V. V. Kovtyukh, C. Soubiran, C. Travaglio and M. Busso, Astron. & Astrophys. 396 (2002), 189, DOI: 10.1051/0004-6361:20021399.

I. U. Roederer, C. Sneden, I. B. Thompson, G. W. Preston and S. A. Shectman, Astrophys. J. 711 (2010), 573, DOI: 10.1088/0004-637x/711/2/573.

I. U. Roederer, A. F. Marino and C. Sneden. Astrophys. J. 742 (2011), 37, DOI: 10.1088/0004-637X/742/1/37.

A. Frebel, J. D. Simon and E. N. Kirby, Astrophys. J. 786 (2014), 74, DOI: 10.1088/0004-637X/786/1/74.

D. Pequignot and J. P. Baluteau, Astron. & Astrophys. 283 (2) (1994), 593–625.

B. Sharpee, Y. Zhang, R. Williams, E. Pellegrini, K. Cavagnolo, J. A. Baldwin, M. Phillips and X.-W. Liu, Astrophys. J. 659 (2007) (preprint astro-ph/0612101), DOI: 10.1086/511665.

N. C. Sterling and H. L. Dinerstein, Astrophys. J. Suppl. 174 (2008), DOI: 10.1086/520845.

M. Otsuka and A. Tajitsu, Astrophys. J. 778 (2013) (preprint 1310.1151), DOI: 10.1088/0004-637X/778/2/146.

J. García-Rojas, S. Madonna, V. Luridiana, N. C. Sterling, C. Morisset, G. Delgado-Inglada and L. Toribio San Cipriano, Mon. Not. Roy. Astro. Soc. 452 (2015) (preprint 1506.07079), DOI: 10.1093/mnras/stv1415.

N. C. Sterling, H. L. Dinerstein, K. F. Kaplan and M. A. Bautista, Astrophys. J. 819 (2016), (preprint 1602.03188), DOI: 10.3847/2041-8205/819/1/L9.

K. Langanke and M. Wiescher, Rep. Prog. Phys. 64 (2001) 1657, DOI: 10.1088/0034-4885/64/12/202.

K. B. Kwitter, R. H. Méndez, M. Peña, L. Stanghellini, R. L. M. Corradi, O. De Marco, X. Fang, R. B. C. Henry, A. I. Karakas, X.-W. Liu, J. A. López, A. Manchado and Q. A. Parker, Rev. Mex. Astron. Astro. 50 (2014), 203 (preprint 1403.2246),

V. Luridiana, C. Morisset and R. A. Shaw, Astron. & Astrophys. 573 (2015), A42, DOI: 10.1051/0004-6361/201323152.

B. M. McLaughlin and J. F. Babb, J. Phys. B: At. Mol. Opt. Phys. 52 (2019), 125201, DOI: 10.1088/1361-6455/ab1e99.

D. A. Macaluso, K. Bogolub, A. Johnson, A. Aguilar, A. L. D. Kilcoyne, R. C. Bilodeau, M. Bautista, A. B. Kerlin and N. C. Sterling, J. Phys. B: At. Mol. Opt. Phys. 49 (2016), 235002, DOI: 10.1088/0953-4075/49/23/235002.

D. A. Macaluso, K. Bogolub, A. Johnson, A. Aguilar, A. L. D. Kilcoyne, R. C. Bilodeau, M. Bautista, A. B. Kerlin and N. C. Sterling, J. Phys. B: At. Mol. Opt. Phys. 50 (2017), 119501, DOI: 10.1088/1361-6455/aa6d1b.

I. Sakho, At. Data. Nuc. Data Tables 117-118 (2017), 425, DOI: 10.1016/j.adt.2016.12.001.

I. Sakho, J. Electron Spectro & Related Phenomena 222 (2018), 40, DOI: 10.1016/j.elspec.2017.10.001.

I. Sakho, The Screening Constant by Unit Nuclear Charge Method, Description & Application to the Photoionization of Atomic Systems, ISTE Science Publishing Ltd., London, and John Wiley & Sons, Inc. USA (2018), ISBN: 978-1-119-47694-8.

M. D. Ba, A. Diallo, J. K. Badiane, M. T. Gning, M. Sow and I. Sakho, Rad. Phys. Chem. 153 (2018), 111, DOI: 10.1016/j.radphyschem.2018.09.010.

J. K. Badiane, A. Diallo, M. D. Ba, M. T. Gning, M. Sow and I. Sakho, Rad. Phys. Chem. 158 (2019), 17, DOI: 10.1016/j.radphyschem.2019.01.008.



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