SU(3) flavor symmetry for weak hadronic decays of Bbc baryons

Abstract

Baryons with a heavy c-quark or a heavy b-quark and also two c-quarks have been discovered. These states are expected in QCD and therefore provide a test for the theory. There should be double beauty baryons, and also an intriguing possibility that baryons B bc with a c-quark, a b-quark. These states are yet to be discovered. The main decay modes of B bc are expected to be weak processes from theoretical understanding of their mass spectrum. These decay modes can provide crucial information about these heavy baryons B bc. We analyze two body hadronic weak decays for B bc using SUð3Þ flavor symmetry. Any one of the c and b decays will induce B bc to decay. We find that the Cabibbo allowed decays B bc → B b þ M due to c → sud can be crucial for exploration. The LHC may have the sensitivity to discover such decays. Other B bc decays due to b → cq 0q are subleading. Several relations among branching ratios are obtained which can be used to test SUð3Þ flavor symmetry.

Rescattering mechanism of weak decays of double-charm baryons *

“…As for , with the dominant triangle diagrams and , the relevant strong coupling constants are , [105] and , [105], respectively, which leads to the large value in Eq. (46). All the values of strong couplings are taken from the literature.…”

Equivalent $SU(3)_f$ approaches for two-body anti-triplet charmed baryon decays

“…In IRA, H c is decomposed as two irreducible SU(3) f forms, 6 H and 15 H , whereas TDA only values the flavor changes of c → q i qj q k in H c . Thus, the effective Hamiltonian can be rewritten as [12,13,21,22,36]…”

“…Since H TDA is regarded to mix with 6 H and 15 H , the concerning topological amplitudes should also amount to seven independent ones as those of IRA [21]. With the appearance of (E ′ − E ′ B ) in the M TDA expansion, either E ′ or E ′ B is redundant.…”

Strong decays of the low-lying doubly bottom baryons

“…Besides the mass spectra, the weak and radiative decays of the doubly heavy baryons are also extensively discussed in the literature [41][42][43][44][45][46][47][48][49][50][51][52][53], which provide helpful information for the experimental searches. The observation of Ξ ++ cc (3621) interested many theorists immediately, and plenty of works have been done in recent years to discuss their mass spectra [54][55][56][57][58][59][60][61][62][63][64], weak and radiative decays [65][66][67][68][69][70][71][72][73][74][75][76][77][78][79], strong decays [80][81][82][83][84], magnetic moments [85][86][87][88], productions …”