Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons

Abstract

We calculate the strong coupling constants among the doubly heavy spin-$$ \frac{3}{2} $$ 3 2 baryons $$\Xi ^*_{QQ}$$ Ξ QQ ∗ and $$\Omega ^*_{QQ}$$ Ω QQ ∗ , with Q and $$ Q' $$ Q ′ being c or b quark, with light vector meson by means of the light-cone QCD sum rules. The matrix elements defining these vertices are described by four coupling constants $$ g_1$$ g 1 , $$ g_2$$ g 2 , $$ g_3$$ g 3 , and $$ g_4 $$ g 4 . The unwanted pollution coming from the doubly heavy spin-$$ \frac{1}{2} $$ 1 2 baryons are removed by a special ordering of Dirac matrices and selection of appropriate Lorentz structures. The strong coupling constants are basic parameters that carry information on the nature of the strong interaction among hadronic multiplets. Investigation of these parameters may help physicists in the construction of the strong potentials among the doubly heavy baryons and light vector mesons. The values obtained for the strong coupling constants may also help experimental groups in analyses of the data produced at various hadron colliders.

QCD sum rules analysis of weak decays of doubly heavy baryons: the $$b\rightarrow c$$ processes

“…The discovery of the doubly charmed baryon has triggered many related theoretical researches on the masses, lifetimes, strong coupling constants, and decay widths of doubly heavy baryons. They are based on various model calculations , SU(3) symmetry analysis [27][28][29], effective theories [30][31][32][33][34][35][36][37][38][39][40], QCD sum rules [41][42][43] and light-cone sum rules [44][45][46][47][48][49][50][51][52]. For a recent review, see [53].…”

Strong Vertices of Doubly Heavy Spin-3/2 Baryons with Light Pseudoscalar Mesons

“…Beyond the quark models [36][37][38], many effective models like lattice QCD [39], Quark Spin Symmetry [40,41], QCD Sum Rules [22][23][24][25][26] and Light-Cone Sum Rules [19,20,[42][43][44][45][46][47][48][49] have been proposed to describe masses, residues, lifetimes, strong coupling constants, and other properties of doubly heavy baryons. Given that the expectations to discover more doubly heavy baryons are growing, we are witnessing the rise of further theoretical investigations in this respect.…”

QCD sum rules analysis of weak decays of doubly heavy baryons: the $b\to c$ processes

“…The discovery of the doubly charmed baryon has triggered many related theoretical researches on the masses, lifetimes, strong coupling constants, and decay widths of doubly heavy baryons. They are based on various model calculations , SU(3) symmetry analysis [27][28][29], effective theories [30][31][32][33][34][35][36][37][38][39][40], QCD sum rules [41][42][43]and light-cone sum rules [44][45][46][47][48][49][50][51][52]. For a recent review, see [53].…”