- Letter
- Open Access
Emergence of pseudoresonance in high-intensity resonant inelastic x-ray scattering
Phys. Rev. A 112, L051101 – Published 7 November, 2025
DOI: https://doi.org/10.1103/drmh-vmgk
Abstract
We report resonant inelastic x-ray scattering (RIXS) spectra of neon atoms interacting with intense x-ray pulses generated using an x-ray free-electron laser (XFEL). We find that an unexpected peak emerges near the line of Ne, which does not coincide with any physical resonances of neon ions. We perform theoretical calculations based on a quantum-state-resolved rate-equation approach with x-ray-induced processes including possible resonant excitations. Our dynamics simulations demonstrate that a sequence of multiple resonant photoabsorption events are involved and the interplay of those multiple resonances in combination with the relatively large spectral bandwidth of XFEL radiation leads to the emergent resonance-like structure at a position where no resonances exist. Our finding offers critical guidance for future applications of high-intensity RIXS at XFEL facilities.
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References (73)
- R. Santra and L. Young, Interaction of intense x-ray beams with atoms, in Synchrotron Light Sources and Free-Electron Lasers, edited by E. Jaeschke, S. Khan, J. R. Schneider, and J. B. Hastings (Springer, Cham, Switzerland, 2016), pp. 1233–1260.
- L. Young, E. P. Kanter, B. Krässig, Y. Li, A. M. March, S. T. Pratt, R. Santra, S. H. Southworth, N. Rohringer, L. F. DiMauro, G. Doumy, C. A. Roedig, N. Berrah, L. Fang, M. Hoener, P. H. Bucksbaum, J. P. Cryan, S. Ghimire, J. M. Glownia, D. A. Reis et al., Femtosecond electronic response of atoms to ultra-intense x-rays, Nature (London) 466, 56 (2010).
- M. Hoener, L. Fang, O. Kornilov, O. Gessner, S. T. Pratt, M. Gühr, E. P. Kanter, C. Blaga, C. Bostedt, J. D. Bozek, P. H. Bucksbaum, C. Buth, M. Chen, R. Coffee, J. Cryan, L. DiMauro, M. Glownia, E. Hosler, E. Kukk, S. R. Leone et al., Ultraintense x-ray induced ionization, dissociation, and frustrated absorption in molecular nitrogen, Phys. Rev. Lett. 104, 253002 (2010).
- E. P. Kanter, B. Krässig, Y. Li, A. M. March, P. Ho, N. Rohringer, R. Santra, S. H. Southworth, L. F. DiMauro, G. Doumy, C. A. Roedig, N. Berrah, L. Fang, M. Hoener, P. H. Bucksbaum, S. Ghimire, D. A. Reis, J. D. Bozek, C. Bostedt, M. Messerschmidt et al., Unveiling and driving hidden resonances with high-fluence, high-intensity x-ray pulses, Phys. Rev. Lett. 107, 233001 (2011).
- G. Doumy, C. Roedig, S.-K. Son, C. I. Blaga, A. D. DiChiara, R. Santra, N. Berrah, C. Bostedt, J. D. Bozek, P. H. Bucksbaum, J. P. Cryan, L. Fang, S. Ghimire, J. M. Glownia, M. Hoener, E. P. Kanter, B. Krässig, M. Kuebel, M. Messerschmidt, G. G. Paulus et al., Nonlinear atomic response to intense ultrashort x rays, Phys. Rev. Lett. 106, 083002 (2011).
- L. Fang, T. Osipov, B. Murphy, F. Tarantelli, E. Kukk, J. P. Cryan, M. Glownia, P. H. Bucksbaum, R. N. Coffee, M. Chen, C. Buth, and N. Berrah, Multiphoton ionization as a clock to reveal molecular dynamics with intense short x-ray free electron laser pulses, Phys. Rev. Lett. 109, 263001 (2012).
- B. Rudek, S.-K. Son, L. Foucar, S. W. Epp, B. Erk, R. Hartmann, M. Adolph, R. Andritschke, A. Aquila, N. Berrah, C. Bostedt, J. Bozek, N. Coppola, F. Filsinger, H. Gorke, T. Gorkhover, H. Graafsma, L. Gumprecht, A. Hartmann, G. Hauser et al., Ultra-efficient ionization of heavy atoms by intense x-ray free-electron laser pulses, Nat. Photon. 6, 858 (2012).
- H. Fukuzawa, S.-K. Son, K. Motomura, S. Mondal, K. Nagaya, S. Wada, X.-J. Liu, R. Feifel, T. Tachibana, Y. Ito, M. Kimura, T. Sakai, K. Matsunami, H. Hayashita, J. Kajikawa, P. Johnsson, M. Siano, E. Kukk, B. Rudek, B. Erk et al., Deep inner-shell multiphoton ionization by intense x-ray free-electron laser pulses, Phys. Rev. Lett. 110, 173005 (2013).
- B. F. Murphy, T. Osipov, Z. Jurek, L. Fang, S.-K. Son, M. Mucke, J. H. D. Eland, V. Zhaunerchyk, R. Feifel, L. Avaldi, P. Bolognesi, C. Bostedt, J. D. Bozek, J. Grilj, M. Guehr, L. J. Frasinski, J. Glownia, D. T. Ha, K. Hoffmann, E. Kukk et al., Femtosecond x-ray-induced explosion of at extreme intensity, Nat. Commun. 5, 4281 (2014).
- B. Rudek, K. Toyota, L. Foucar, B. Erk, R. Boll, C. Bomme, J. Correa, S. Carron, S. Boutet, G. J. Williams, K. R. Ferguson, R. Alonso-Mori, J. E. Koglin, T. Gorkhover, M. Bucher, C. S. Lehmann, B. Krässig, S. H. Southworth, L. Young, C. Bostedt et al., Relativistic and resonant effects in the ionization of heavy atoms by ultra-intense hard x-rays, Nat. Commun. 9, 4200 (2018).
- N. Berrah, A. Sanchez-Gonzalez, Z. Jurek, R. Obaid, H. Xiong, R. J. Squibb, T. Osipov, A. Lutman, L. Fang, T. Barillot, J. D. Bozek, J. Cryan, T. J. A. Wolf, D. Rolles, R. Coffee, K. Schnorr, S. Augustin, H. Fukuzawa, K. Motomura, N. Niebuhr et al., Femtosecond-resolved observation of the fragmentation of buckminsterfullerene following x-ray multiphoton ionization, Nat. Phys. 15, 1279 (2019).
- A. C. LaForge, S.-K. Son, D. Mishra, M. Ilchen, S. Duncanson, E. Eronen, E. Kukk, S. Wirok-Stoletow, D. Kolbasova, P. Walter, R. Boll, A. D. Fanis, M. Meyer, Y. Ovcharenko, D. E. Rivas, P. Schmidt, S. Usenko, R. Santra, and N. Berrah, Resonance-enhanced multiphoton ionization in the x-ray regime, Phys. Rev. Lett. 127, 213202 (2021).
- A. Rörig, S.-K. Son, T. Mazza, P. Schmidt, T. M. Baumann, B. Erk, M. Ilchen, J. Laksman, V. Music, S. Pathak, D. E. Rivas, D. Rolles, S. Serkez, S. Usenko, R. Santra, M. Meyer, and R. Boll, Multiple-core-hole resonance spectroscopy with ultraintense x-ray pulses, Nat. Commun. 14, 5738 (2023).
- N. Berrah, L. Fang, B. Murphy, T. Osipov, K. Ueda, E. Kukk, R. Feifel, P. van der Meulen, P. Salen, H. T. Schmidt, R. D. Thomas, M. Larsson, R. Richter, K. C. Prince, J. D. Bozek, C. Bostedt, S.-I. Wada, M. N. Piancastelli, M. Tashiro, and M. Ehara, Double-core-hole spectroscopy for chemical analysis with an intense x-ray femtosecond laser, Proc. Natl. Acad. Sci. USA 108, 16912 (2011).
- T. Tachibana, Z. Jurek, H. Fukuzawa, K. Motomura, K. Nagaya, S. ichi Wada, P. Johnsson, M. Siano, S. Mondal, Y. Ito, M. Kimura, T. Sakai, K. Matsunami, H. Hayashita, J. Kajikawa, X.-J. Liu, E. Robert, C. Miron, R. Feifel, J. P. Marangos et al., Nanoplasma formation by high intensity hard x-rays, Sci. Rep. 5, 10977 (2015).
- Y. Kumagai, Z. Jurek, W. Xu, H. Fukuzawa, K. Motomura, D. Iablonskyi, K. Nagaya, S. ichi Wada, S. Mondal, T. Tachibana, Y. Ito, T. Sakai, K. Matsunami, T. Nishiyama, T. Umemoto, C. Nicolas, C. Miron, T. Togashi, K. Ogawa, S. Owada et al., Radiation-induced chemical dynamics in Ar clusters exposed to strong x-ray pulses, Phys. Rev. Lett. 120, 223201 (2018).
- T. Mazza, M. Ilchen, M. D. Kiselev, E. V. Gryzlova, T. M. Baumann, R. Boll, A. De Fanis, P. Grychtol, J. Montaño, V. Music, Y. Ovcharenko, N. Rennhack, D. E. Rivas, P. Schmidt, R. Wagner, P. Ziolkowski, N. Berrah, B. Erk, P. Johnsson, C. Küstner-Wetekam et al., Mapping resonance structures in transient core-ionized atoms, Phys. Rev. X 10, 041056 (2020).
- B. I. Cho, K. Engelhorn, S. M. Vinko, H.-K. Chung, O. Ciricosta, D. S. Rackstraw, R. W. Falcone, C. R. D. Brown, T. Burian, J. Chalupský, C. Graves, V. Hájková, A. Higginbotham, L. Juha, J. Krzywinski, H. J. Lee, M. Messersmidt, C. Murphy, Y. Ping, N. Rohringer et al., Resonant spectroscopy of solid-density aluminum plasmas, Phys. Rev. Lett. 109, 245003 (2012).
- S. M. Vinko, O. Ciricosta, B. I. Cho, K. Engelhorn, H.-K. Chung, C. R. D. Brown, T. Burian, J. Chalupský, R. W. Falcone, C. Graves, V. Hájková, A. Higginbotham, L. Juha, J. Krzywinski, H. J. Lee, M. Messerschmidt, C. D. Murphy, Y. Ping, A. Scherz, W. Schlotter et al., Creation and diagnosis of a solid-density plasma with an x-ray free-electron laser, Nature (London) 482, 59 (2012).
- R. Obaid, C. Buth, G. L. Dakovski, R. Beerwerth, M. Holmes, J. Aldrich, M.-F. Lin, M. Minitti, T. Osipov, and W. Schlotter, LCLS in—photon out: Fluorescence measurement of neon using soft x-rays, J. Phys. B: At. Mol. Opt. Phys. 51, 034003 (2018).
- K. Tamasaku, M. Nagasono, H. Iwayama, E. Shigemasa, Y. Inubushi, T. Tanaka, K. Tono, T. Togashi, T. Sato, T. Katayama, T. Kameshima, T. Hatsui, M. Yabashi, and T. Ishikawa, Double core-hole creation by sequential attosecond photoionization, Phys. Rev. Lett. 111, 043001 (2013).
- F. Gel'mukhanov, M. Odelius, S. P. Polyutov, A. Föhlisch, and V. Kimberg, Dynamics of resonant x-ray and auger scattering, Rev. Mod. Phys. 93, 035001 (2021).
- C. Pellegrini, A. Marinelli, and S. Reiche, The physics of x-ray free-electron lasers, Rev. Mod. Phys. 88, 015006 (2016).
- E. A. Seddon, J. A. Clarke, D. J. Dunning, C. Masciovecchio, C. J. Milne, F. Parmigiani, D. Rugg, J. C. H. Spence, N. R. Thompson, K. Ueda, S. M. Vinko, J. S. Wark, and W. Wurth, Short-wavelength free-electron laser sources and science: A review, Rep. Prog. Phys. 80, 115901 (2017).
- M. Beye, P. Wernet, C. Schüßler-Langeheine, and A. Föhlisch, Time resolved resonant inelastic x-ray scattering: A supreme tool to understand dynamics in solids and molecules, J. Electron Spectrosc. Relat. Phenom. 188, 172 (2013).
- N. Rohringer, X-ray Raman scattering: A building block for nonlinear spectroscopy, Phil. Trans. R. Soc. A. 377, 20170471 (2019).
- C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, Stimulated electronic x-ray Raman scattering, Phys. Rev. Lett. 111, 233902 (2013).
- V. Kimberg, A. Sanchez-Gonzalez, L. Mercadier, C. Weninger, A. Lutman, D. Ratner, R. Coffee, M. Bucher, M. Mucke, M. Agåker, C. Såthe, C. Bostedt, J. Nordgren, J. E. Rubensson, and N. Rohringer, Stimulated x-ray Raman scattering – a critical assessment of the building block of nonlinear x-ray spectroscopy, Faraday Discuss. 194, 305 (2016).
- U. Eichmann, H. Rottke, S. Meise, J.-E. Rubensson, J. Söderström, M. Agåker, C. Såthe, M. Meyer, T. M. Baumann, R. Boll, A. De Fanis, P. Grychtol, M. Ilchen, T. Mazza, J. Montano, V. Music, Y. Ovcharenko, D. E. Rivas, S. Serkez, R. Wagner et al., Photon-recoil imaging: Expanding the view of nonlinear x-ray physics, Science 369, 1630 (2020).
- K. Li, C. Ott, M. Agåker, P. J. Ho, G. Doumy, A. Magunia, M. Rebholz, M. Simon, T. Mazza, A. D. Fanis, T. M. Baumann, J. Montano, N. Rennhack, S. Usenko, Y. Ovcharenko, K. Chordiya, L. Cheng, J.-E. Rubensson, M. Meyer, T. Pfeifer et al., Super-resolution stimulated x-ray Raman spectroscopy, Nature (London) 643, 662 (2025).
- S. Mukamel, D. Healion, Y. Zhang, and J. D. Biggs, Multidimensional attosecond resonant x-ray spectroscopy of molecules: Lessons from the optical regime, Annu. Rev. Phys. Chem. 64, 101 (2013).
- A. S. Morillo-Candas, S. M. Augustin, E. Prat, A. Sarracini, J. Knurr, S. Zerdane, Z. Sun, N. Yang, M. Rebholz, H. Zhang, Y. Deng, X. Xie, A. Cannizzo, A. Al-Haddad, K. A. Schnorr, C. Ott, T. Feurer, C. Bostedt, T. Pfeifer, and G. Knopp, Coherent all x-ray four wave mixing at core shell resonances, arXiv:2408.11881 (2024).
- P. Wernet, K. Kunnus, I. Josefsson, I. Rajkovic, W. Quevedo, M. Beye, S. Schreck, S. Grübel, M. Scholz, D. Nordlund, W. Zhang, R. W. Hartsock, W. F. Schlotter, J. J. Turner, B. Kennedy, F. Hennies, F. M. F. de Groot, K. J. Gaffney, S. Techert, M. Odelius et al., Orbital-specific mapping of the ligand exchange dynamics of Fe(CO) in solution, Nature (London) 520, 78 (2015).
- T. Marchenko, S. Carniato, L. Journel, R. Guillemin, E. Kawerk, M. Žitnik, M. Kavčič, K. Bučar, R. Bohinc, M. Petric, V. Vaz da Cruz, F. Gel'mukhanov, and M. Simon, Electron dynamics in the core-excited molecule revealed through resonant inelastic x-ray scattering spectroscopy, Phys. Rev. X 5, 031021 (2015).
- L. Kjellsson, K. D. Nanda, J.-E. Rubensson, G. Doumy, S. H. Southworth, P. J. Ho, A. M. March, A. Al Haddad, Y. Kumagai, M.-F. Tu, R. D. Schaller, T. Debnath, M. S. Bin Mohd Yusof, C. Arnold, W. F. Schlotter, S. Moeller, G. Coslovich, J. D. Koralek, M. P. Minitti, M. L. Vidal et al., Resonant inelastic x-ray scattering reveals hidden local transitions of the aqueous oh radical, Phys. Rev. Lett. 124, 236001 (2020).
- O. S. Humphries, R. S. Marjoribanks, Q. Y. van den Berg, E. C. Galtier, M. F. Kasim, H. J. Lee, A. J. F. Miscampbell, B. Nagler, R. Royle, J. S. Wark, and S. M. Vinko, Probing the electronic structure of warm dense nickel via resonant inelastic x-ray scattering, Phys. Rev. Lett. 125, 195001 (2020).
- K. Tamasaku, M. Taguchi, I. Inoue, T. Osaka, Y. Inubushi, M. Yabashi, and T. Ishikawa, Two-dimensional fluorescence spectrum by nonlinear resonant inelastic x-ray scattering, Nat. Commun. 14, 4262 (2023).
- A. Forte, T. Gawne, K. K. A. El-Din, O. S. Humphries, T. R. Preston, C. Crépisson, T. Campbell, P. Svensson, S. Azadi, P. Heighway, Y. Shi, D. A. Chin, E. Smith, C. Baehtz, V. Bouffetier, H. Höppner, D. McGonegle, M. Harmand, G. W. Collins, J. S. Wark et al., Resonant inelastic x-ray scattering in warm-dense fe compounds beyond the SASE FEL resolution limit, Commun. Phys. 7, 266 (2024).
- B. Rudek, D. Rolles, S.-K. Son, L. Foucar, B. Erk, S. Epp, R. Boll, D. Anielski, C. Bostedt, S. Schorb, R. Coffee, J. Bozek, S. Trippel, T. Marchenko, M. Simon, L. Christensen, S. De, S.-I. Wada, K. Ueda, I. Schlichting et al., Resonance-enhanced multiple ionization of krypton at an x-ray free-electron laser, Phys. Rev. A 87, 023413 (2013).
- P. J. Ho, C. Bostedt, S. Schorb, and L. Young, Theoretical tracking of resonance-enhanced multiple ionization pathways in x-ray free-electron laser pulses, Phys. Rev. Lett. 113, 253001 (2014).
- K. Toyota, S.-K. Son, and R. Santra, Interplay between relativistic energy corrections and resonant excitations in x-ray multiphoton ionization dynamics of xe atoms, Phys. Rev. A 95, 043412 (2017).
- T. M. Baumann, S.-K. Son, J.-E. Rubensson et al. (unpublished).
- J. Schlappa, G. Ghiringhelli, B. E. Van Kuiken, M. Teichmann, P. S. Miedema, J. T. Delitz, N. Gerasimova, S. Molodtsov, L. Adriano, B. Baranasic, C. Broers, R. Carley, P. Gessler, N. Ghodrati, D. Hickin, L. P. Hoang, M. Izquierdo, L. Mercadier, G. Mercurio, S. Parchenko et al., The heisenberg-rixs instrument at the european XFEL, J. Synchrotron Radiat. 32, 29 (2025).
- N. Gerasimova, D. La Civita, L. Samoylova, M. Vannoni, R. Villanueva, D. Hickin, R. Carley, R. Gort, B. E. Van Kuiken, P. Miedema, L. Le Guyarder, L. Mercadier, G. Mercurio, J. Schlappa, M. Teichman, A. Yaroslavtsev, H. Sinn, and A. Scherz, The soft x-ray monochromator at the SASE3 beamline of the european XFEL: From design to operation, J. Synchrotron Radiat. 29, 1299 (2022).
- W. Decking et al., A MHz-repetition-rate hard x-ray free-electron laser driven by a superconducting linear accelerator, Nat. Photon. 14, 391 (2020).
- M. Agåker, J. Söderström, T. M. Baumann, C.-J. Englund, L. Kjellsson, R. Boll, A. De Fanis, S. Dold, T. Mazza, J. Montaño, A. Münnich, T. Mullins, Y. Ovcharenko, N. Rennhack, P. Schmidt, B. Senfftleben, M. Turcato, S. Usenko, M. Meyer, J. Nordgren et al., A 1D imaging soft x-ray spectrometer for the small quantum systems instrument at european XFEL, J. Synchrotron Radiat. 31, 1264 (2024).
- T. Tschentscher, C. Bressler, J. Grünert, A. Madsen, A. P. Mancuso, M. Meyer, A. Scherz, H. Sinn, and U. Zastrau, Photon beam transport and scientific instruments at the european XFEL, Appl. Sci. 7, 592 (2017).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/drmh-vmgk for detailed calibration and calculation procedures and dependence on XFEL beam parameters.
- H. Ågren, J. Nordgren, L. Selander, C. Nordling, and K. Siegbahn, Multiplet structure in the high-resolution x-ray emission spectrum of neon, J. Electron Spectrosc. Relat. Phenom. 14, 27 (1978).
- M. Oura, Study of inner-shell excitation and relaxation processes in atomic and ionic neon by means of soft x-ray spectroscopy, Plasma Sci. Technol. 12, 353 (2010).
- A. Müller, D. Bernhardt, A. Borovik, T. Buhr, J. Hellhund, K. Holste, A. L. D. Kilcoyne, S. Klumpp, M. Martins, S. Ricz, J. Seltmann, J. Viefhaus, and S. Schippers, Photoionization of ne atoms and ions near the K edge: Precision spectroscopy and absolute cross-sections, Astrophys. J. 836, 166 (2017).
- A. Picón, J. Mompart, and S. H. Southworth, Stimulated Raman adiabatic passage with two-color x-ray pulses, New J. Phys. 17, 083038 (2015).
- K. Anderson, P. A. Malmqvist, and B. O. Roos, Second-order perturbation theory with a complete active space self-consistent field reference function, J. Chem. Phys. 96, 1218 (1992).
- J. Finley, P.-Å. Malmqvist, B. O. Roos, and L. Serrano-Andrés, The multi-state CASPT2 method, Chem. Phys. Lett. 288, 299 (1998).
- J. Olsen, B. O. Roos, P. Jørgensen, and H. J. A. Jensen, Determinant based configuration interaction algorithms for complete and restricted configuration interaction spaces, J. Chem. Phys. 89, 2185 (1988).
- V. Sauri, L. Serrano-Andrés, A. R. M. Shahi, L. Gagliardi, S. Vancoillie, and K. Pierloot, Multiconfigurational second-order perturbation theory restricted active space (RASPT2) method for electronic excited states: A benchmark study, J. Chem. Theory Comput. 7, 153 (2011).
- G. Li Manni, I. Fdez. Galván, A. Alavi, F. Aleotti, F. Aquilante, J. Autschbach, D. Avagliano, A. Baiardi, J. J. Bao, S. Battaglia, L. Birnoschi, A. Blanco-González, S. I. Bokarev, R. Broer, R. Cacciari, P. B. Calio, R. K. Carlson, R. Carvalho Couto, L. Cerdán, L. F. Chibotaru et al., The OpenMolcas web: A community-driven approach to advancing computational chemistry, J. Chem. Theory Comput. 19, 6933 (2023).
- S.-K. Son, L. Young, and R. Santra, Impact of hollow-atom formation on coherent x-ray scattering at high intensity, Phys. Rev. A 83, 033402 (2011).
- L. Budewig, S.-K. Son, and R. Santra, Theoretical investigation of orbital alignment of x-ray-ionized atoms in exotic electronic configurations, Phys. Rev. A 105, 033111 (2022).
- L. Budewig, S.-K. Son, and R. Santra, State-resolved ionization dynamics of a neon atom induced by x-ray free-electron-laser pulses, Phys. Rev. A 107, 013102 (2023).
- S. L. Carter and H. P. Kelly, Double photoionization of neon and argon, Phys. Rev. A 16, 1525 (1977).
- N. Saito and I. H. Suzuki, Shake-off processes in photoionization and auger transition for rare gases irradiated by soft x-rays, Phys. Scr. 49, 80 (1994).
- K. Toyota, Z. Jurek, S.-K. Son, H. Fukuzawa, K. Ueda, N. Berrah, B. Rudek, D. Rolles, A. Rudenko, and R. Santra, xcalib: A focal spot calibrator for intense x-ray free-electron laser pulses based on the charge state distributions of light atoms, J. Synchrotron Radiat. 26, 1017 (2019).
- N. Breckwoldt, S.-K. Son, T. Mazza, A. Rörig, R. Boll, M. Meyer, A. C. LaForge, D. Mishra, N. Berrah, and R. Santra, Machine-learning calibration of intense x-ray free-electron-laser pulses using Bayesian optimization, Phys. Rev. Res. 5, 023114 (2023).
- C. Weninger and N. Rohringer, Stimulated resonant x-ray Raman scattering with incoherent radiation, Phys. Rev. A 88, 053421 (2013).
- H. Schmoranzer, S. Lauer, F. Vollweiler, A. Ehresmann, V. L. Sukhorukov, B. M. Lagutin, I. D. Petrov, P. V. Demekhin, K.-H. Schartner, B. Magel, and G. Mentzel, Angular distribution of the fluorescence radiation of Kr II satellite states, J. Phys. B: At. Mol. Opt. Phys. 30, 4463 (1997).
- A. Kikas, S. J. Osborne, A. Ausmees, S. Svensson, O.-P. Sairanen, and S. Aksela, High-resolution study of the correlation satellites in photoelectron spectra of the rare gases, J. Electron Spectrosc. Relat. Phenom. 77, 241 (1996).
- N. Watanabe and M. Takahashi, Revisiting electron-correlation effects on valence shake-up satellites of neon, Phys. Rev. A 100, 032710 (2019).
- N. Rohringer and R. Santra, Strongly driven resonant auger effect treated by an open-quantum-system approach, Phys. Rev. A 86, 043434 (2012).
- S. M. Cavaletto, C. Buth, Z. Harman, E. P. Kanter, S. H. Southworth, L. Young, and C. H. Keitel, Resonance fluorescence in ultrafast and intense x-ray free-electron-laser pulses, Phys. Rev. A 86, 033402 (2012).
- Y. Li, C. Gao, W. Dong, J. Zeng, Z. Zhao, and J. Yuan, Coherence and resonance effects in the ultra-intense laser-induced ultrafast response of complex atoms, Sci. Rep. 6, 18529 (2016).
- N. Rohringer and R. Santra, X-ray nonlinear optical processes using a self-amplified spontaneous emission free-electron laser, Phys. Rev. A 76, 033416 (2007).
- https://doi.org/10.22003/XFEL.EU-DATA-002954-00.