{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T16:28:48Z","timestamp":1774888128664,"version":"3.50.1"},"reference-count":22,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,12,23]],"date-time":"2020-12-23T00:00:00Z","timestamp":1608681600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Institution \u201cProject Center ITER\u201d, Moscow, Russia","award":["1"],"award-info":[{"award-number":["1"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Data on the cross section and kinetic rate of charge exchange (CX) between the bare beryllium nucleus, the ion Be(+4) and the neutral hydrogen atom are of great interest for visible-range high-resolution spectroscopy in the ITER tokamak because beryllium is intended as the material for the first wall in the main chamber. Here an analysis of available data is presented, and the data needs are formulated. Besides the active probe signal produced by the CX of the diagnostic hydrogen neutral beam with impurity ions in plasma, a passive signal produced by the CX of impurity ions with cold edge plasma is also important, as it shows in observation data from the JET (Joint European Torus) tokamak with an ITER-like beryllium wall. Data in the range of a few eV\/amu to ~100 eV\/amu (amu stands for the atomic mass unit) needed for simulations of level populations for principal and orbital quantum numbers in the emitting beryllium ions Be(+3) can be obtained with the help of two-dimensional kinetic codes. The lack of literature data, especially for data resolved in orbital quantum numbers, has instigated us to make numerical calculations with the ARSENY code. A comparison of the results obtained for the one-centre Coulomb problem using an analytic approach and for the two-centre problem using numerical simulations is presented.<\/jats:p>","DOI":"10.3390\/sym13010016","type":"journal-article","created":{"date-parts":[[2020,12,23]],"date-time":"2020-12-23T12:19:51Z","timestamp":1608725991000},"page":"16","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Data for Beryllium\u2013Hydrogen Charge Exchange in One and Two Centres Models, Relevant for Tokamak Plasmas"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2902-188X","authenticated-orcid":false,"given":"Petr A.","family":"Sdvizhenskii","sequence":"first","affiliation":[{"name":"National Research Center \u201cKurchatov Institute\u201d, 123182 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Inga Yu.","family":"Tolstikhina","sequence":"additional","affiliation":[{"name":"P. N. Lebedev Physical Institute, 119991 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Valery S.","family":"Lisitsa","sequence":"additional","affiliation":[{"name":"National Research Center \u201cKurchatov Institute\u201d, 123182 Moscow, Russia"},{"name":"National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander B.","family":"Kukushkin","sequence":"additional","affiliation":[{"name":"National Research Center \u201cKurchatov Institute\u201d, 123182 Moscow, Russia"},{"name":"National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sergei N.","family":"Tugarinov","sequence":"additional","affiliation":[{"name":"Institution \u201cProject Center ITER\u201d, 123182 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,12,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1134\/1.1648937","article-title":"Development of the concept of charge-exchange recombination spectroscopy for ITER","volume":"30","author":"Tugarinov","year":"2004","journal-title":"Plasma Phys. Rep."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Von Hellermann, M., de Bock, M., Marchuk, O., Reiter, D., Serov, S., and Walsh, M. (2019). Simulation of Spectra Code (SOS) for ITER Active Beam Spectroscopy. Atoms, 7.","DOI":"10.3390\/atoms7010030"},{"key":"ref_3","unstructured":"Solov\u2019ev, E.A. (1991). Workshop on Hidden Crossings in Ion-Collisions and in Other Nonadiabatic Transitions, Harvard Smithonian Centre for Astrophysics."},{"key":"ref_4","unstructured":"Komarov, I., Ponomarev, L., and Slavyanov, S. (1976). Spheroidal and Coulomb Spheroidal Functions, Nauka."},{"key":"ref_5","first-page":"469","article-title":"Charge transfer between hydrogen atoms and the nuclei of multicharged ions with allowance for the degeneracy of the final states","volume":"47","author":"Abramov","year":"1978","journal-title":"Sov. Phys. JETP"},{"key":"ref_6","unstructured":"(2020, December 07). OPEN-ADAS (Atomic Data and Analysis Structure). Available online: http:\/\/open.adas.ac.uk\/."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1063\/1.3585817","article-title":"Atomic data and modelling for fusion: The ADAS Project","volume":"1344","author":"Summers","year":"2011","journal-title":"AIP Conf. Proc."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3527","DOI":"10.1088\/0953-4075\/31\/16\/007","article-title":"Quantal and semiclassical calculations of charge transfer cross sections in Be4+ + H collisions for impact energies of 2.5 eV amu\u22121 <E <25 keV amu\u22121","volume":"31","author":"Errea","year":"1998","journal-title":"J. Phys. B At. Mol. Opt. Phys."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"012045","DOI":"10.1088\/1742-6596\/163\/1\/012045","article-title":"Electron capture from excited hydrogen atoms by highly charged beryllium and carbon ions","volume":"163","author":"Shimakura","year":"2009","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1088\/0031-8949\/1996\/T62\/004","article-title":"Total and partial cross-sections of electron transfer processes with hydrogen gas targets: Be4+, B5+ + H(1s), H(2s)","volume":"1996","author":"Errea","year":"1996","journal-title":"Phys. Scr."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1088\/0031-8949\/1996\/T62\/007","article-title":"State-selective electron capture in slow Be4+ + H(1s) collisions. Calculations by hidden crossing method","volume":"1996","author":"Janev","year":"1996","journal-title":"Phys. Scr."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3039","DOI":"10.1103\/PhysRevA.29.3039","article-title":"Atomic-orbital-expansion studies of electron transfer in bare-nucleus Z (Z= 2, 4\u20138)\u2014Hydrogen-atom collisions","volume":"29","author":"Fritsch","year":"1984","journal-title":"Phys. Rev. A"},{"key":"ref_13","unstructured":"(2020, December 07). Kronos Database. Available online: https:\/\/www.physast.uga.edu\/research\/stancil-group\/atomic-molecular-databases\/kronos."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"31","DOI":"10.3847\/0067-0049\/224\/2\/31","article-title":"Charge Exchange-induced X-Ray Emission of Fe XXV and Fe XXVI via a Streamlined Model","volume":"224","author":"Mullen","year":"2016","journal-title":"ApJS"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3281","DOI":"10.1088\/0953-4075\/36\/15\/309","article-title":"Hyperspherical close-coupling calculations for charge transfer cross sections in Si4+ + H(D) and Be4+ + H collisions at low energies","volume":"36","author":"Le","year":"2003","journal-title":"J. Phys. B At. Mol. Opt. Phys."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"035206","DOI":"10.1088\/0953-4075\/47\/3\/035206","article-title":"Collisions of Be, Fe, Mo and W atoms and ions with hydrogen isotopes: Electron capture and electron loss cross sections","volume":"47","author":"Tolstikhina","year":"2014","journal-title":"J. Phys. B At. Mol. Opt. Phys."},{"key":"ref_17","unstructured":"Landau, L., and Lifshitz, E.M. (1965). Quantum Mechanics: Non-Relativistic Theory, Addison-Wesley. [2nd ed.]."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1359","DOI":"10.1103\/PhysRevLett.38.1359","article-title":"Observation of the Reaction H0 + O8+ \u2192 H+(O7+) during Neutral-Beam Injection into ORMAK","volume":"38","author":"Isler","year":"1977","journal-title":"Phys. Rev. Lett."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"042707","DOI":"10.1103\/PhysRevA.92.042707","article-title":"Effect of electron-nuclei interaction on internuclear motions in slow ion-atom collisions","volume":"92","author":"Tolstikhina","year":"2015","journal-title":"Phys. Rev. A"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"247","DOI":"10.3367\/UFNe.2017.02.038071","article-title":"Influence of atomic processes on charge states and fractions of fast heavy ions passing through gaseous, solid, and plasma targets","volume":"61","author":"Tolstikhina","year":"2018","journal-title":"Phys.-Uspekhi"},{"key":"ref_21","unstructured":"Sdvizhenskii, P.A., Kukushkin, A.B., Levashova, M.G., Lisitsa, V.S., Neverov, V.S., Serov, S.V., and Tugarinov, S.N. (2019, January 8\u201312). Algorithm of calculating the passive signal of tokamak edge plasma for CXRS diagnostics. Proceedings of the 46th EPS Conference on Plasma Physics, Milan, Italy. Available online: http:\/\/ocs.ciemat.es\/EPS2019ABS\/pdf\/P4.1006.pdf."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1134\/S106377610804002X","article-title":"Semiclassical theory of the radiative-collisional cascade in a Rydberg atom","volume":"106","author":"Kadomtsev","year":"2008","journal-title":"J. Exp. Theor. Phys."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/1\/16\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:49:04Z","timestamp":1760179744000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/1\/16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,12,23]]},"references-count":22,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2021,1]]}},"alternative-id":["sym13010016"],"URL":"https:\/\/doi.org\/10.3390\/sym13010016","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,12,23]]}}}