Abstract
We extend the chromomagnetic model by further considering the effect of color interaction. The effective mass parameters between quark pairs ($m_{qq}$ or $m_{q\bar{q}}$) are introduced to account both the effective quark masses and the color interaction between the two quarks. Using the experimental masses of hadrons, the quark pair parameters are determined between the light quark pairs and the light-heavy quark pairs. Then the parameters of heavy quark pairs ($cc$, $cb$, $bb$) are estimated based on simple quark model assumption. We calculate all masses of doubly and triply heavy-quark baryons. The newly discovered doubly charmed baryon $\Xi_{cc}$ fits into the model with an error of 12 MeV.
Highlights
In 2002, the SELEX Collaboration [1] reported the first observation of a doubly charmed baryon Ξþcc in the decay mode Ξþcc → Λþc K−πþ
We extend the chromomagnetic model by further considering the effect of color interaction
Using the experimental masses of hadrons, the quark pair parameters are determined between the light quark pairs and the light-heavy quark pairs
Summary
In 2002, the SELEX Collaboration [1] reported the first observation of a doubly charmed baryon Ξþcc in the decay mode Ξþcc → Λþc K−πþ. The quark model is one of the most used approaches to study the mass spectra of hadrons [12,54,55,56,57,58,59,60,61,62,63,64,65,66,67]. The chromomagnetic model assumes a mass formula by adding a term of chromomagnetic hyperfine interaction to the effective quark masses This simplified model gives a good account of the hyperfine splittings in hadron mass spectra and produces many useful Gell-Mann–Okubo (GMO) mass relations. We use the extended chromomagnetic model with the chromoelectric term to study the mass spectra of all the lowest S-wave doubly and triply heavyquark baryons systematically.
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