Effects of a dense medium on parameters of doubly heavy baryons

Abstract

The spectroscopic properties of the doubly heavy spin-1/2 baryons Ξ QQ ′ , Ξ ′ QQ ′ , Ω QQ ′ and Ω ′ 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 ρ ∈ [0, 1.4] ρsat, with ρsat = 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 Ξ QQ ′ and Ξ ′ QQ ′ baryons with two heavy quarks and one u or d quark are affected by the medium, considerably. It is also seen that the Ω QQ ′ and Ω ′ QQ ′ states, containing two heavy quarks and one s quark do not see the dense medium, at all. The value of mass for the Ξcc state obtained at ρ → 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.

Mass and decay properties of double heavy baryons with a phenomenological potential model

“…As there are more doubly heavy baryons may be confirmed and discovered experimentally in the future, the theoretical studies about them are essential. They need to study from the theoretical investigation based on quark models [5][6][7][8][9][10][11][12][13], Heavy Quark Spin Symmetry [14,15], QCD Sum Rules [16][17][18], lata e-mail: s.rahmani120@gmail.com (corresponding author) tice QCD [19], Light-cone sum rules [20] and Bethe-Salpeter equation approach [21]. Brodsky et al found that the large SELEX value of the isospin splitting of the cc states implies that double charm baryons are very compact [22].…”

Properties of Zc(3900) tetraquark in a cold nuclear matter

“…To proceed, we need to determine their working regions, such that the in-medium mass, current coupling the the vector self energy show mild variations with respect to the changes in these parameters. The upper and lower limits for M 2 is determined via imposing some conditions according to the standard prescriptions of the method (for details in the case of doubly heavy baryons see for instance [50,51]). The working window for s * 0 is obtained such that the maximum possible pole contribution is obtained and the physical observables show weak dependence on the auxiliary parameters.…”

Properties of Doubly Heavy Baryons

“…The mass of doubly heavy baryons are studied within the various models like hypercentral method [24], relativistic model [25,26], varational model [27], QCD sum rules [28][29][30][31], lattice QCD [32], Hamiltonian Model [33], Regge phenomology [34,35] and Chiral quark model [36], the three-body Faddeev method [37], heavy quark symmetry [38], diquak approximation [39], Lattice QCD [40], and many more. The excited states predictions are mentioned in Table 1.…”