TY - JOUR
AB - We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential.
AU - Frank, Rupert
AU - Phan Thanh, Nam
AU - Van Den Bosch, Hanne
ID - 446
IS - 3
JF - Communications on Pure and Applied Mathematics
TI - The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory
VL - 71
ER -