Abstract
The spectroscopic properties of the doubly heavy spin-$1/2$ baryons $\Xi_{QQ'}$, $\Xi'_{QQ'}$, $\Omega_{QQ'}$ and $\Omega'_{QQ'}$, with heavy quarks $Q$ and $Q'$ being $b$ or/and $c$, are investigated in cold nuclear matter. In particular, the behavior of the mass of these particles with respect to the density of the medium in the range $\rho\in [0,1.4] ~\rho_{sat}$, with $\rho_{sat}=0.11^3 ~GeV^3$ being the saturation density of nuclear matter, is investigated. From the shifts in the mass and vector self energy of the states under consideration, it is obtained that $\Xi_{QQ'}$ and $\Xi'_{QQ'}$ baryons with two heavy quarks and one $u$ or $d$ quark are affected by the medium, considerably. It is also seen that the $\Omega_{QQ'}$ and $\Omega'_{QQ'}$ states, containing two heavy quarks and one $s$ quark do not see the dense medium, at all. The value of mass for the $\Xi_{cc}$ state obtained at $\rho\rightarrow 0$ limit is nicely consistent with the experimental data. Our results on parameters of other members can be useful in the search for these states. The obtained results may also shed light on the future in-medium experiments aiming to search for the behavior of the doubly heavy baryons under extreme conditions.
Highlights
The doubly heavy baryons have been predicted by the quark model many decades ago [1,2,3], only the spin−1=2 double-charmed baryon Ξcc has been experimentally observed so far
From the shifts in the mass and vector self-energy of the states under consideration, it is obtained that ΞQQ0 and Ξ0QQ0 baryons with two heavy quarks and one u or d quark are affected by the medium, considerably
We investigate the doubly heavy spin-1=2 ΞQQ0, Ξ0QQ0, ΩQQ0, and Ω0QQ0 baryons in dense medium by the technique of the in-medium QCD sum rule
Summary
The doubly heavy baryons have been predicted by the quark model many decades ago [1,2,3], only the spin−1=2 double-charmed baryon Ξcc has been experimentally observed so far. Many models and approaches were used before the first observation of the Ξcc state to understand the structure and spectrum of the doubly heavy baryons. In 2005, the same collaboration confirmed the same state in the charged decay mode Ξþcc → pDþK− [6]. The updouble ratios of sum rules (DRSR), mass-splittings of doubly heavy baryons were obtained [7].
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