This paper is the extension of our previous work entitled ''Searching a systematics for nonfactorizable contributions to   $ {B^ - } $   and   $ {B^ - } $   hadronic decays''. Obtaining the factorizable contributions from the spectator-quark model for   $ {B^ - } $   a systematics was identified among the isospin reduced amplitudes for the nonfactorizable terms among   $ {B^ - } $   decay modes. This systematics enables us to derive a generic formula to help predict the branching fractions for   $ {B^ - } $   decays. Inspired by this observation, we extend our analysis to p-wave meson emitting decays of   $ {B^ - } $  meson   $ {B^ - } $   particularly   $ {B^ - } $  , which have similar isospin structures and make predictions for   $ {B^ - } $   decays, for which experimental measurements are not yet available.

India

Maninder Kaur

Supreet Pal Singh

R.C. Verma

 -wave Mesons Emitting Weak Decays of Bottom Mesons

The two-body weak decays   $ \bar B \to \pi D $  /   $ \bar B \to \pi D $   and   $ \bar B \to \pi D $   are examined using isospin analysis to study nonfactorizable contributions. After determining strong interaction phases and obtaining factorizable contributions from spectator-quark diagrams for N $_{ c }$=3, we determine nonfactorizable isospin amplitudes from the experimental data for these modes. Our results support the universality of the ratio of nonfactorizable isospin reduced amplitudes for these decays within experimental errors. To demonstrate that these systematics are not coincidental, we also plot our results w. r. t. this ratio.

R. C. Verma

Searching systematics for nonfactorizable contributions to And Hadronic Decays

The particle content of the Singh-Hagen model (SH) in <math id="M2"><mi>D</mi></math> dimensions is revisited. We suggest a complete set of spin-projection operators acting on totally symmetric rank-3 fields. We give a general expression for the propagator and determine the coefficients of the SH model confirming previous results of the literature. Adding source terms, we provide a unitarity analysis in <math id="M3"><mi>D</mi></math> dimensions. In addition, we have also analyzed the positivity of the massless Hamiltonian.