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+====== TTP06-29 Equations for Relativistic Particles, Binaries and Ternaries ======
+<hidden TTP06-29  Equations for Relativistic Particles, Binaries and Ternaries > Relativistic differential equations for bound states of $n$ Dirac
+ particles ($n=1,2,3$) are put into forms that depend only on the
+ square of the total cms energy. Instead of coupling $4^n$ Dirac components,
+ they decompose into two equivalent equations for $4^n/2$ components $\psi$
+ and $\chi$
+ of total chiralities $+1$ and $-1$, respectively. Their time-dependent
+ versions are of the Klein-Gordon type; they
+ reproduce the relativistic kinematics for the emission of photons or pions.
+ Although the equations are presently extended to mesons and baryons within
+ perturbative QCD only, the necessity of free Klein-Gordon equations for closed
+ systems implies $E^2$-spectra not only for mesons, but also for baryons.
+ For binaries, there exists an intricate transformation which turns the
+ equation for $\psi$ into an effective one-body Dirac equation. The
+ corresponding transformation for $\chi$ is derived here.
+ </hidden>
+|**Hartmut Pilkuhn**  |
+| {{preprints:2006:ttp06-29.pdf|PDF}} {{preprints:2006:ttp06-29.ps|PostScript}}   |
+| |