Universal physics of bound states of a few charged particles

C.H. Schmickler, H.-W. Hammer, A. Volosniev, Physics Letters B 798 (2019) 135016.

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Abstract
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.
Publishing Year
Date Published
2019-11-10
Journal Title
Physics Letters B
Volume
798
Article Number
135016
ISSN
IST-REx-ID

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Schmickler CH, Hammer H-W, Volosniev A. Universal physics of bound states of a few charged particles. Physics Letters B. 2019;798:135016. doi:10.1016/j.physletb.2019.135016
Schmickler, C. H., Hammer, H.-W., & Volosniev, A. (2019). Universal physics of bound states of a few charged particles. Physics Letters B, 798, 135016. https://doi.org/10.1016/j.physletb.2019.135016
Schmickler, C.H., H.-W. Hammer, and Artem Volosniev. “Universal Physics of Bound States of a Few Charged Particles.” Physics Letters B 798 (2019): 135016. https://doi.org/10.1016/j.physletb.2019.135016.
C. H. Schmickler, H.-W. Hammer, and A. Volosniev, “Universal physics of bound states of a few charged particles,” Physics Letters B, vol. 798, p. 135016, 2019.
Schmickler CH, Hammer H-W, Volosniev A. 2019. Universal physics of bound states of a few charged particles. Physics Letters B. 798, 135016.
Schmickler, C. H., et al. “Universal Physics of Bound States of a Few Charged Particles.” Physics Letters B, vol. 798, Elsevier, 2019, p. 135016, doi:10.1016/j.physletb.2019.135016.
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