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Abstract
We investigate the behavior of the doubly heavy spin$-3/2$ baryons in cold nuclear matter. In particular, we study the variations of the spectroscopic parameters of the ground state $\Xi^*_{QQ'}$ and $\Omega^*_{QQ'}$ particles, with $ Q $ and $ Q' $ being $b $ or $ c $ quark, with respect to the changes in the density of the nuclear medium. We find the shifts on the parameters under question at saturation medium density compared to their vacuum values. It is observed that the parameters of the $\Xi^*_{QQ'}$ states containing two heavy quarks and one up or down quark are affected by the medium, considerably. The parameters of the $\Omega^*_{QQ'}$ states containing two heavy quarks and one strange quark, however, do not show any sensitivity to the density of the cold nuclear medium. We also discuss the variations of the vector self-energy at each channel with respect to the changes in the density. The negative shifts in the mass of $\Xi^*_{QQ'}$ states due to nucleons in the medium can be used to study the doubly heavy baryons' interactions with the nucleons. The results obtained can also be used in analyses of the results of the future in-medium experiments.
Highlights
The investigation of the hadronic properties under extreme conditions, without a doubt, is one of the main goals of the quantum chromodynamics (QCD) and hadron physics
After matching the coefficients of different structures derived from the physical and QCD sides of the correlation function, we get the following sum rules to be applied in the calculations of mass, residue, and vector self-energy of the spin-3=2 doubly heavy baryons: mÃDHλÃD2He−μ2=M2 1⁄4 ΠQ1 CDðM2; sÃ0; p0Þ; λÃD2He−μ2=M2 1⁄4 ΠQ2 CDðM2; sÃ0; p0Þ; ΣυλÃD2He−μ2=M2 1⁄4 ΠQ3 CDðM2; sÃ0; p0Þ: ð24Þ
Its measured mass is different than that of the previous SELEX Collaboration and there is a conflict in this regard, our hope has been increased for the discovery of the other members of the doubly heavy charmed baryons, as well as the doubly heavy bottom baryons
Summary
The investigation of the hadronic properties under extreme conditions, without a doubt, is one of the main goals of the quantum chromodynamics (QCD) and hadron physics. A class of hadrons that deserves investigation in the nuclear medium is doubly heavy baryons Such explorations can help us study the interactions of the doubly heavy baryons with nucleons. The LHCb Collaboration has reported the observation of doubly heavy baryon Ξþccþ via the decay mode Λþc K−πþπþ with mass 3621.40 Æ 0.72ðstatÞ Æ 0.27ðsystÞ Æ 0.14ðΛþc Þ MeV=c2 [19]. It is still under doubt why the observed mass by LHCb differs considerably from the SELEX result, the existence of a Ξcc doubly charmed baryon is on a more solid ground, experimentally. We use the in-medium QCD sum rules to study the variations of the mass and residue of
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