Universal physics of bound states of a few charged particles Schmickler, C.H. Hammer, H.-W. Volosniev, Artem ; https://orcid.org/0000-0003-0393-5525 ddc:530 We study few-body bound states of charged particles subject to attractive zero-range/short-range plus repulsive Coulomb interparticle forces. The characteristic length scales of the system at zero energy are set by the Coulomb length scale D and the Coulomb-modified effective range r eff. We study shallow bound states of charged particles with D >> r eff and show that these systems obey universal scaling laws different from neutral particles. An accurate description of these states requires both the Coulomb-modified scattering length and the effective range unless the Coulomb interaction is very weak (D -> ). Our findings are relevant for bound states whose spatial extent is significantly larger than the range of the attractive potential. These states enjoy universality – their character is independent of the shape of the short-range potential. Elsevier 2019 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/6955 https://research-explorer.ista.ac.at/download/6955/6974 Schmickler CH, Hammer H-W, Volosniev A. Universal physics of bound states of a few charged particles. <i>Physics Letters B</i>. 2019;798. doi:<a href="https://doi.org/10.1016/j.physletb.2019.135016">10.1016/j.physletb.2019.135016</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physletb.2019.135016 info:eu-repo/semantics/altIdentifier/issn/0370-2693 info:eu-repo/semantics/altIdentifier/wos/000494939000086 info:eu-repo/semantics/altIdentifier/arxiv/1904.00913 https://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess