Few-body quark dynamics for doubly-heavy baryons and tetraquarks

Abstract

We discuss the adequate treatment of the 3- and 4-body dynamics for the quark model picture of double-charm baryons and tetraquarks. We stress that the variational and Born-Oppenheimer approximations give energies very close to the exact ones, while the diquark approximation might be rather misleading. The Hall-Post inequalities also provide very useful lower bounds that exclude the possibility of stable tetraquarks for some mass ratios and some color wave functions.

Comments: 10 pages, 9 figures, to appear in Phys. Rev. C, one ref. added