Possible New Positronium Bound State

22nd International Conference on Spectral Line Shapes

Crater, H.C.^1 ; Wong, C.Y.^2

University of Tennessee, Space Institute, 411 B.H. Goethert Parkway, Tullahoma

TN

37388, United States^1

Physics Division, Oak Ridge National Laboratory, Oak Ridge

TN

37830, United States^2

关键词: Bound state;    Compton wavelength;    Dirac equations;    Photon decay;    Root mean square radius;    S state;    Two photon;    Two-photon emission;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/548/1/012004/pdf
DOI  :  10.1088/1742-6596/548/1/012004

来源: IOP

【 摘 要 】

The Two-Body Dirac equations of constraint dynamics applied to QED yields an exact Sommerfeld-like solution for the spectrum of1Jj singlet positronium states which agrees with standard perturbative results through order α4. At short distance the radial part of the wave function u rψ has two solutions with probabilities near the origin behaving like . For J ≠ 0 only the first sign is allowable but both signs for J 0 are well behaved. The first sign in that case corresponds to ordinary positronium (with a binding energy of about 6.8 eV). The second sign corresponds to a new positronium state with a binding energy of about 300 keV and a root-mean-square radius on the order of a Compton wavelength. The ordinary 1S positronium state decays into this new 1S state by two photon emission with c.m. energy of about 300 keV. The peculiar 1S state then annihilates promptly into two photons with c.m. energy of about 700 keV. Thus the existence of this new positronium state would be a distinctive 4 photon decay signature of ordinary singlet positronium.