Abstract
We consider charmless weak decays of beauty-baryons into decuplet baryons and pseudoscalar mesons in a general framework based on $SU(3)$-flavor decomposition of the decay amplitudes. The dynamical assumption independent $SU(3)$ analysis accounts for the effects of an arbitrarily broken $SU(3)$ symmetry in these decays. An alternative approach in terms of quark diagrams is also provided and compared with the $SU(3)$ decomposition in the limit of exact $SU(3)$-flavor symmetry. Furthermore, the symmetries of the effective Hamiltonian is used to relate or neglect reduced $SU(3)$ amplitudes to derive several sum rule relations between amplitudes and relations between $CP$ asymmetries in these decays and identify those that hold even if $SU(3)$ is broken.
Highlights
In recent times, bottom baryon decays have come under increased scrutiny due to the large number of b-baryon production at the LHCb [1]
The general framework of SUð3Þ analysis in beauty mesons as well as charm meson decays [52,53,54,55,56,57,58,59,60,61,62,63] into two pseudoscalars (PP), pseudoscalar-vector boson (PV), and two vector mesons (VV) can be extended to study bottom and charmed baryon decaying into an octet baryon and a pseudoscalar meson [64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86]
Experimental evidences suggest a b baryon to a decuplet baryon transition alongside the pseudoscalar(vector) meson is possible. We consider such hadronic beauty-baryon decays featuring a decuplet of light baryons and a pseudoscalar meson based on the SUð3Þ decomposition of the decay amplitudes in terms of SUð3Þ-reduced amplitudes
Summary
Bottom baryon decays have come under increased scrutiny due to the large number of b-baryon production at the LHCb [1]. We consider such hadronic beauty-baryon decays featuring a decuplet of light baryons and a pseudoscalar meson based on the SUð3Þ decomposition of the decay amplitudes in terms of SUð3Þ-reduced amplitudes. An alternate approach based on the flavor flow along quark lines is presented, which is equivalent to the SUð3Þ decomposition in the limit of an exact SUð3Þ-flavor symmetry. In contrast to previous studies, our approach [19,87,88] facilitates an SUð3Þ decomposition of the decays in terms of SUð3Þ-reduced amplitudes without any particular set of assumptions about the underlying dynamics.
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