Non-leptonic B decays involving tensor mesons

Two-body non-leptonic decays of B mesons into PT and V T modes are calculated using the non-relativistic quark model of Isgur et al.. The predictions obtained for B → πD 2, ρD 2 are a factor of 3 ∼ 5 below present experimental upper limits. Interesting patterns are obtained for ratios of B decays involving mesons with different spin excitations and their relevance for additional tests of forms factor models are briefly discussed. PACS numbers: 12.39.Jh, 13.25.Hw, 14.40.Nd Weak non-leptonic decays of B mesons involving mesons of intrinsic orbital momentum l ≥ 1 in final states, are expected to be very suppressed [1, 2]. The experimental values for B decay into orbitally excited charmed mesons, which are allowed at lowest order via external W -emission diagrams, exhibit the following suppressions [1]: B(B → D 2 ρ) B(B+ → D0ρ+) ≤ 0.35 B(B → D 1 ρ) B(B+ → D0ρ+) ≤ 0.104 B(B → D 1 π) B(B+ → D0π+) = 0.28 B(B → D∗− 2 ρ) B(B0 → D−ρ+) ≤ 0.63. Predictions for these B decays are important because they would provide additional tests for the factorization hypothesis and form factor models used to describe exclusive modes in B decays. On the other hand, analogous ratios of B decays involving lowest lying mesons (l = 0), namely B → XV/XP ( V and P stand for vector and pseudoscalar mesons), such as [1]: B → D0ρ/D0π = 2.53, B → D∗0ρ/D∗0π = 2.98, B → Dρ/Dπ = 2.60 and B → Dρ/Dπ = 2.81, show the expected behavior due to the three degrees of freedom of vector particles. Non-leptonic decays of B and D mesons involving scalar and tensor mesons have been calculated previously in a series of papers by Katoch and Verma [3, 4, 5] using the non-relativistic quark model of Ref. [2]. B decays into final states involving tensor mesons (J = 2) are not suppressed by phase-space considerations as in the case of D decays. Actually, upper limits for B decays into PT and V T channels (T denotes the tensor meson) at