Few-body quark dynamics for doubly heavy baryons and tetraquarks

JM Richard, A Valcarce, J Vijande - Physical Review C, 2018 - APS
JM Richard, A Valcarce, J Vijande
Physical Review C, 2018APS
We discuss the adequate treatment of the three-and four-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 somewhat 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.
We discuss the adequate treatment of the three- and four-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 somewhat 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.
American Physical Society
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