Abstract
In this work, we compute masses and magnetic moments of the heavy baryons and tetraquarks with one and two open heavy flavors in a unified framework of MIT bag model. Using the parameters of MIT bag model, we confirm that an extra binding energy, which is supposed to exist between heavy quarks ($c$ and $b$) and between heavy and strange quarks in literatures, is required to reconcile light hadrons with heavy hadrons. Numerical calculations are made for all light mesons, heavy hadrons with one and two open heavy flavors, predicting the masses of doubly charmed baryons to be $ M(\Xi _{cc})=3.604$ GeV, $ M(\Xi _{cc}^{\ast })=3.714$ GeV, and that of the strange isosinglet tetraquark $ud\bar{s}\bar{c}$ with $J^{P}=0^{+}$ to be $ M\left( ud\bar{s}\bar{c},0^{+}\right) =2.934$ GeV. The state mixing due to chromomagnetic interaction is shown to be sizable for the strange scalar tetraquark $nn\bar{s}\bar{c}$.
Highlights
Four years ago, the LHCb Collaboration at CERN discovered the first doubly charmed baryon Ξþccþ with JP 1⁄4 1=2þ and measured its mass to be 3621.40 Æ 0.78 MeV [1]
II we review some basic relations of the MIT bag model, including chromomagnetic interaction (CMI) among the quarks in the bag
5.46 1.677 1.672 −2.20 −2.02 0.72 moments in Table VI are in good agreement with the measured values, from which the magnetic moments for heavy baryons and tetraquarks are predicted; (v) Our prediction of 0.75 fm for the proton-charge radius is slightly lower than the newly-measured value 0.83 fm [45,46], but is similar to the original MIT bag model [31,32]
Summary
The LHCb Collaboration at CERN discovered the first doubly charmed baryon Ξþccþ with JP 1⁄4 1=2þ and measured its mass to be 3621.40 Æ 0.78 MeV [1]. We apply the MIT bag model [31,32] with chromomagnetic interaction and a strong coupling αs running with the bag radius, to systematically study the open heavy baryons and tetraquarks with one and two heavy flavors and compute the masses and other static properties (magnetic moments, electric-charge radii) of them. In the past few decades, the bag model has been applied to describe the doubly heavy baryons [11,12,13] and multiquark hadrons, including light exotic baryons with five and seven nonstrange quarks [33].
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