[1] S.Bliman, J. P.Briand, P.Briand, P.Charles, L.de Billy, J. P.Desclaux, S.Essabaa, R.Geller, C.Ristori. Production of hollow atoms by the excitation of highly charged ions in interaction with a metallic surface. Phys. Rev. Lett., 65, 159(1990).

[2] E. D.Donets. Electron beam ion sources and associated physics at JINR. Nucl. Instrum. Methods Phys. Res., Sect. B, 9, 522(1985).

[3] F.Aumayr, H.Winter. Hollow atoms. J. Phys. B: At., Mol. Opt. Phys., 32, R39(1999).

[4] H.Winter. Collisions of atoms and ions with surfaces under grazing incidence. Phys. Rep., 367, 387(2002).

[5] B.Ban-d’Etat, and B.Ban-d’Etat, J. P.Briand. Springer Series on Atomic, Optical, and Plasma Physics(1999).

[6] I. A.Armour, B. C.Fawcett, J. D.Silver, E.Träbert. X-ray spectra and satellite classification of foil-excited Mg and Al. J. Phys. B: At. Mol. Phys., 13, 2701(1980).

[7] Y.Aglitskiy, S.Bodner, C.Brown, A.Deniz, U.Feldman, K.Gerber, J.Hardgrove, G.Holland, M.Laming, T.Lehecka, R.Lehmberg, E.McLean, S.Obenschain, C.Pawley, M.Pronko, A.Schmitt, J.Seely, J.Sethian, J.Stamper, C.Sullivan. X-ray emission from plasmas created by smoothed KrF laser irradiation. Phys. Plasmas, 3, 3438(1996).

[8] J.Abdallah, E.Behar, R. E. H.Clark, J.Cohen, R.Doron, J.Dubau, A. Ya.Faenov, R. P.Jonson, G. A.Kyrala, A. I.Magunov, A.Maksimchuk, P.Mandelbaum, N.Nantel, A.Osterheld, S. A.Pikuz, T. A.Pikuz, F. B.Rosmej, J. J.Schwob, I. Yu.Skobelev, D.Umstadter, A. M.Urnov, M. D.Wilke. High-resolved x-ray spectra of hollow atoms in a femtosecond laser-produced solid plasma. Phys. Scr., T80, 536(1999).

[9] A. Ya.Faenov, V. E.Fortov, T. A.Pikuz, I. Yu.Skobelev. Spectra of hollow ions in an ultradense laser plasma. Phys.-Usp., 55, 47(2012).

[10] J. Abdallah, N.Booth, J.Colgan, O.Culfa, R. J.Dance, R. G.Evans, A. Ya.Faenov, R. J.Gray, T.Kaempfer, K. L.Lancaster, P.McKenna, S. A.Pikuz, A. L.Rossall, K. S.Schulze, I. Yu.Skobelev, I.Uschmann, E.Wagenaars, N. C.Woolsey, A. G.Zhidkov. Exotic dense-matter states pumped by a relativistic laser plasma in the radiation-dominated regime. Phys. Rev. Lett., 110, 125001(2013).

[11] T.Auguste, P.D’Oliveira, A. Ya.Faenov, M.Geißel, J. E.Hansen, D. H. H.Hoffmann, S.Hulin, P.Monot, T. A.Pikuz, F. B.Rosmej, O. N.Rosmej, W.Süß, G.Verbookhaven. High resolution x-ray imaging spectroscopy diagnostic of hollow ions in dense plasmas. Nucl. Instrum. Methods Phys. Res., Sect. A, 464, 257(2001).

[12] R.Dachicourt, B.Deschaud, M.Dozières, D.Khaghani, O.Renner, F. B.Rosmej, M.Smid. Exotic x-ray emission from dense plasmas. J. Phys. B: At., Mol. Opt. Phys., 48, 224005(2015).

[13] C. R. D.Brown, T.Burian, J.Chalupsky, B. I.Cho, H.-K.Chung, O.Ciricosta, K.Engelhorn, R. W.Falcone, C.Graves, V.Hajkova, P. A.Heimann, A.Higginbotham, L.Juha, J.Krzywinski, H. J.Lee, R. W.Lee, M.Messerschmidt, C. D.Murphy, B.Nagler, Y.Ping, A.Scherz, W.Schlotter, S.Toleikis, J. J.Turner, S. M.Vinko, L.Vysin, T.Wang, J. S.Wark, B.Wu, U.Zastrau, D.Zhu. Creation and diagnosis of a solid-density plasma with an x-ray free-electron laser. Nature, 482, 59(2012).

[14] M.Deutsch, R.Diamant, K.Hämäläinen, S.Haotari, C. C.Kao. Cu K^hα₁₂ hypersatellites: Suprathreshold evolution of a hollow-atom x-ray spectrum. Phys. Rev. A, 62, 052519(2000).

[15] A. M.Costa, P.Indelicato, M. C.Martins, F.Parente, J. P.Santos. Relativistic calculation of two-electron one-photon and hypersatellite transition energies for 12 ≤ Z ≤ 30 elements. J. Phys. B.: At., Mol. Opt. Phys., 37, 3785(2004).

[16] J. Abdallah, S.Bollanti, E.Burattini, P.Di Lazzaro, A. Ya.Faenov, F.Flora, A.Grilli, T.Letardi, A. I.Magunov, L.Palladino, T. A.Pikuz, A.Reale, L.Reale, A.Scafati, I. Yu.Skobelev, G.Tomassetti. Spectra of multiply charged hollow ions in the plasma produced by a short-wavelength nanosecond laser. Quantum Electron., 30, 694(2000).

[17] A. Ya.Faenov, V. E.Fortov, R.Kodama, S. A. Pikuz, T. A.Pikuz, I. Yu.Skobelev. Diagnostics of warm dense matter by high-resolution x-ray spectroscopy of hollow ions. Laser Part. Beams, 33, 27(2015).

[18] H. R.Griem. Principles of Plasma Spectroscopy(1997).

[19] O.Renner, F. B.Rosmej. Challenges of x-ray spectroscopy in investigations of matter under extreme conditions. Matter Radiat. Extremes, 4, 024201(2019).

[20] V. S.Lisitsa. Springer Series on Atomic, Optical, and Plasma Physics(1994).

[21] V. A.Astapenko, V. S.Lisitsa, F. B.Rosmej. Springer Series on Atomic, Optical, and Plasma Physics(2021).

[22] N. E.Andreev, T.Auguste, M. V.Chegotov, P.D’Oliveira, A. Ya.Faenov, S.Hulin, A. I.Magunov, P.Monot, T. A.Pikuz, F. B.Rosmej, I. Yu.Skobelev, M. E.Veisman. Charge-exchange-induced formation of hollow atoms in high-intensity laser-produced plasmas. J. Phys. B: At., Mol. Opt. Phys., 32, L107(1999).

[23] E.Dalimier, A.Delserieys, E.Krousky, V. S.Lisitsa, O.Renner, D.Riley, F. B.Rosmej, R.Schott. Charge-exchange-driven x-ray emission from highly ionized plasma jets. Europhys. Lett., 76, 815(2006).

[24] J. A.Cobble, R. C.Elton, A. Ya.Faenov, M.Geißel, H. R.Griem, D. H. H.Hoffmann, V. L.Jacobs, R. C.Mancini, T. A.Pikuz, F. B.Rosmej, V. P.Shevelko, W.Süß, D.Uskov. Charge-exchange-induced two-electron satellite transitions from autoionizing levels in dense plasmas. Phys. Rev. E, 66, 056402(2002).

[25] R. W.Lee, F. B.Rosmej. Hollow ion emission driven by pulsed intense x-ray fields. Europhys. Lett., 77, 24001(2007).

[26] R. W.Lee, F. B.Rosmej, D. H. G.Schneider. A 10 fs x-ray emission switch driven by an intense x-ray free electron laser. High Energy Density Phys., 3, 218(2007).

[27] F. B.Rosmej. Hot electron x-ray diagnostics. J. Phys. B: At., Mol. Opt. Phys., 30, L819(1997).

[28] R.Mewe. Simplified model for ionization and recombination in a hydrogenic plasma with resonance radiation trapping. Z. Naturforsch. A, 25, 1798(1970).

[29] R. G.Athay, C. L.Hyder. Coronal ionization by two-step collision processes. Astrophys. J., 137, 21(1963).

[30]

[31]

[32]

[33] N.Berrah, C.Bostedt, J. D.Bozek, P. H.Bucksbaum, J. P.Cryan, L. F.DiMauro, G.Doumy, L.Fang, S.Ghimire, J. M.Glownia, M.Hoener, E. P.Kanter, B.Krässig, Y.Li, A. M.March, M.Messerschmidt, S. T.Pratt, D. A.Reis, C. A.Roedig, N.Rohringer, R.Santra, S. H.Southworth, L.Young. Femtosecond electronic response of atoms to ultra-intense x-rays. Nature, 466, 56(2010).

[34] T.Burian, J.Chalupsky, H.-K.Chung, O.Ciricosta, G. L.Dakovski, A. G.de la Varga, E. V.Fernandez-Tello, V.Hajkova, P.Hollebon, L.Juha, J.Krzywinski, R. W.Lee, M. P.Minitti, T.Preston, Q. Y.van den Berg, P.Velarde, S. M.Vinko, V.Vozda, J. S.Wark, U.Zastrau. Clocking femtosecond collisional dynamics via resonant x-ray spectroscopy. Phys. Rev. Lett., 120, 055002(2018).

[35] F. B.Rosmej. A new type of analytical model for complex radiation emission of hollow ions in fusion, laser and heavy-ion-beam-produced plasmas. Europhys. Lett., 55, 472(2001).

[36] F. B.Rosmej. X-ray emission spectroscopy and diagnostics of nonequilibrium fusion and laser-produced plasmas. Handbook for Highly Charged Ion Spectroscopic Research(2012).

[37] J.Chalupsky, T.Dzelzainis, R. R.Fäustlin, E.Galtier, V.Hajkova, P.Heimann, L.Juha, M.Jurek, F. Y.Khattak, M.Kozlova, J.Krzywinski, R. W.Lee, B.Nagler, A. J.Nelson, D.Riley, F. B.Rosmej, R.Sobierajski, S.Toleikis, T.Tschentscher, S. M.Vinko, J. S.Wark, T.Whitcher. Decay of cystalline order and equilibration during the solid-to-plasma transition induced by 20-fs microfocused 92-eV free-electron-laser pulses. Phys. Rev. Lett., 106, 164801(2011).

[38] F. B.Rosmej, O. N.Rosmej. Transient formation of forbidden lines. J. Phys. B: At., Mol. Opt. Phys., 29, L359(1996).

[39] B.Deschaud, O.Peyrusse, F. B.Rosmej. Simulation of XFEL induced fluorescence spectra of hollow ions and studies of dense plasma effects. Phys. Plasmas, 27, 063303(2020).

[40] D. R.Inglis, E.Teller. Ionic depression of series limits in one-electron spectra. Astrophys. J., 90, 439(1939).

[41] A.Unsöld. Zur Berechnung der Zustandssummen für Atome und Ionen in einem teilweise ionisierten Gas. Z. Astrophys., 24, 355(1948).

[42] R. M.Moore, G. B.Zimmermann. Pressure ionization in laser fusion target simulations. J. Quant. Spectrosc. Radiat. Transfer, 23, 517(1980).

[43] W.Däppen, D. G.Hummer, D.Mihalas. The equation of state for stellar envelopes. II. Algorithm and selected results. Astrophys. J., 331, 815(1988).

[44] D.Salzman. International Series of Monographs on Physics(1998).

[45] J.Dubeau, G.Massacrier. A theoretical approach to N-electron ionic structure under dense plasma conditions: I. Blue and red shift. J. Phys. B: At., Mol. Opt. Phys., 23, 2459S(1990).

[46] T.Blenski, K.Ishikawa. Pressure ionization in the spherical ion-cell model of dense plasmas and a pressure formula in the relativistic Pauli approximation. Phys. Rev. E, 51, 4869(1995).

[47] T.Fujimoto, I.Shimamura. State densities and ionization equilibrium of atoms in dense plasmas. Phys. Rev. A, 42, 2346(1990).

[48] N. Y.Orlov. Ion model of a hot dense plasma. Laser Part. Beams, 15, 627(1997).

[49] X.Li, F. B.Rosmej. Spin-dependent energy-level crossings in highly charged ions due to dense plasma environments. Phys. Rev. A, 82, 022503(2010).

[50] T.Blenski, R.Piron. Variational-average-atom-in-quantum-plasmas (VAAQP) code and virial theorem: Equation-of-state and shock-Hugoniot calculations for warm dense Al, Fe, Cu, and Pb. Phys. Rev. E, 83, 026403(2011).

[51] Z.Jurek, R.Santra, S.-K.Son, R.Thiele, B.Ziaja. Quantum-mechanical calculation of ionization-potential lowering in dense plasmas. Phys. Rev. X, 4, 031004(2014).

[52] M.Belkhiri, C. J.Fontes, M.Poirier. Influence of the plasma environment on atomic structure using an ion-sphere model. Phys. Rev. A, 92, 032501(2015).

[53] M.Böhme, G.Massacrier, B.Militzer, F.Soubiran, J.Vorberger. Reconciling ionization energies and band gaps of warm dense matter derived with ab initio simulations and average atom models. Phys. Rev. Res., 3, 023026(2021).

[54] R.Piron. Atomic models of dense plasmas, applications, and current challenges. Atoms, 12, 26(2024).

[55] R. D.Cowan. The Theory of Atomic Structure and Spectra(1981).

[56] F. B.Rosmej. J. Phys. B: At., Mol. Opt. Phys., 51, 09LT01(2018).

[57] J.Anton, L.de Billy, R. D.Deslattes, P.Indelicato, E. G. Kessler, E.Lindroth. X-ray transition energies: New approach to a comprehensive evaluation. Rev. Mod. Phys., 75, 35(2003).

[58]

[59] X.Li, F. B.Rosmej. Analytical approach to level delocalization and line shifts in finite temperature dense plasmas. Phys. Lett. A, 384, 126478(2020).

[60] V. A.Astapenko, X.Li, V. S.Lisitsa, F. B.Rosmej. An analytical plasma screening potential based on the self-consistent-field ion-sphere model. Phys. Plasmas, 26, 033301(2019).

[61] Z.Chen, Y.Qi, Y.Tian, Y.Yin, G.Zhao et al. Theoretical determination of level delocalizations, plasma shifts and radiative properties of fusion relevant Ni XXII in finite temperature dense plasmas using a generalized analytical b-potential. J. Quant. Spectrosc. Radiat. Transfer, 266, 107570(2021).

[62] Z. B.Chen, L.-G.Jiao, X.-D.Li, P.-F.Liu, K.Ma, Y.-Y.Qi, X.-Z.Shen, H.-Y.Sun, K.Wang, G.-P.Zhao. Development of various methods to the investigation of the spectral properties and collision dynamics of H-like ions taking place in dense and hot plasma environments. Int. J. Quantum Chem., 122, 101002(2021).

[63] D.Dawra, M.Dimri, A. K. S.Jha, M.Mohan, R. K.Pandey, R.Sharma, A. K.Singh. Influence of strongly coupled plasma environment on photoionization of H-like O⁷⁺ ion. Phys. Plasmas, 28, 112706(2021).

[64] C.Chen, Z. B.Chen, Y.Chu, Z.Jiao, K.Ma. Theoretical calculations on the relativistic corrections and photoionization cross sections for hydrogenlike ions in finite temperature dense plasmas. Few-Body Syst., 63, 69(2022).

[65] D.Dawra, M.Dimri, A. K. S.Jha, M.Mohan. A study of the atomic processes of highly charged ions embedded in dense plasma. Atoms, 11, 158(2023).

[66] D.Dawra, M.Dimri, A. K. S.Jha, M.Mohan, N. K.Shivankar. Effect of dense plasma environment and external magnetic field on atomic structure and radiative properties of Ar XVII. J. Quant. Spectrosc. Radiat. Transfer, 321, 108991(2024).

[67] B.Deschaud, O.Peyrusse, F. B.Rosmej. Generalized atomic processes for interaction of intense femtosecond XUV- and x-ray radiation with solids. Europhys. Lett., 108, 53001(2014).

[68] O.Ciricosta, S. M.Vinko, J. S.Wark. Density functional theory calculations of continuum lowering in strongly coupled plasmas. Nat. Commun., 5, 3533(2014).

[69] B.Barbrel, T.Burian, J.Chalupsky, B. I.Cho, H.-K.Chung, O.Ciricosta, G. L.Dakovski, K.Engelhorn, V.Hájková, P.Heimann, M.Holmes, L.Juha, J.Krzywinski, R. W.Lee, T. R.Preston, D. S.Rackstraw, S.Toleikis, J. J.Turner, S. M.Vinko, J. S.Wark, U.Zastrau. Measurements of continuum lowering in solid-density plasmas created from elements and compounds. Nat. Commun., 7, 11713(2016).

[70] S. X.Hu. Continuum lowering and fermi-surface rising in strongly coupled and degenerate plasmas. Phys. Rev. Lett., 119, 065001(2017).

[71] J. E.Bailey, M. R.Gomez, S.Hansen, E. C.Harding, P. F.Knapp, T.Nagayama. Changes in the electronic structure of highly compressed iron revealed by x-ray fluorescence lines and absorption edges. High Energy Density Phys., 24, 39(2017).

[72] B.Deschaud, O.Peyrusse, F. B.Rosmej. Atomic kinetics for isochoric heating of solid aluminum under short intense XUV free electron laser irradiation. High Energy Density Phys., 15, 22(2015).

[73] G.Ecker, W.Kröll. Lowering of the ionization energy for a plasma in thermodynamic equilibrium. Phys. Fluids, 6, 62(1963).

[74] K.Pyatt, J.Stewart. Lowering of ionization potentials in plasmas. Astrophys. J., 144, 1203(1966).

[75] V. A.Astapenko, V. S.Lisitsa, F. B.Rosmej, L. A.Vainshtein. Statistical and quantum photoionization cross sections in plasmas: Analytical approaches for any configurations including inner shells. Matter Radiat. Extremes, 5, 064202(2020).