Heavy quark symmetry in multi-hadron systems

Understand

We discuss the properties of hadronic systems containing one heavy quark in the heavy quark limit.

• The heavy quark symmetry guarantees the mass degeneracy of the states with total spin and parity $(j-1/2)^{P}$ and $(j+1/2)^{P}$ with $j \geq 1/2$, because the heavy-quark spin is decoupled from the total spin $j$ of the light components called brown muck.
• We apply this idea to heavy multi-hadron systems, and formulate the general framework to analyze their properties.
• We demonstrate explicitly the spin degeneracy and the decomposition of the wave functions in exotic heavy hadron systems generated by the one boson exchange potential.