Magnetic Resonances at Short Distances

Details Magnetic Resonances at Short Distances Magnetic Resonances at Short Distances

Mar 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..aprr14001c&link_type=abstract

American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #R14.001

Physics

Scientific paper

The magnetic interaction at short distances between two opposite electric or color charges in the ^3P0 state (J=0,L=1,S=1,P=1 and C=1) is very attractive and can overwhelm the centrifugal barrier at short distances (of about 10-2-10-3 fermis), with a barrier between the short-distance region and the long-distance region. In the two body Dirac equations formulated in constraint dynamics, the short-distance attraction for this ^3P0 state admits a peculiar solution for the radial part of the relative wave function u=rψ that grows with distance as r^(1-√1-42̂)/2, in addition to the usual solution that behaves as r^(1+√1-42̂)/2. Both solutions have admissible behaviors at short distances and the usual solution leads to no resonant behavior. However, for the peculiar solution we find a resonance at about 28 MeV for e^+e^- and a width of about 15 KeV.

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