Abstract
The Self-Consistent Field approximation has been applied to a distribution of spin 1/2 baryons and antibaryons interacting through a classical neutral pseudoscalar meson field. Excitations in the distribution due to density fluctuations are described by an equation relating the meson field frequencyω to the nucleon coupling strength. We have evaluatedω at zero temperature and zero momentum transfer and find that the raitoω/M n is very close to the ratiom π/M n, whereM n is the nucleon mass andM π the meson mass. For this limiting case,T=q=0, the excitation frequency depends only upon terms characteristic of the particle-antiparticle interaction. We therefore interpret theπ 0 meson as the lowest excitation of a bound nucleon-antinucleon pair.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
