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${\mathit {\mathit b}}$ ${\mathit {\overline{\mathit b}}}$ MESONS (including possibly non- ${\mathit {\mathit q}}$ ${\mathit {\overline{\mathit q}}}$ states)

INSPIRE   JSON  (beta) PDGID: M079

${{\mathit \chi}_{{b0}}{(2P)}}$ $I^G(J^{PC})$ = $0^+(0^{+ +})$ J need confirmation.

Observed in radiative decay of the ${{\mathit \Upsilon}{(3S)}}$, therefore ${}^{C} = +$. Branching ratio requires E1 transition, M1 is strongly disfavored, therefore ${}^{P} = +$.

${{\mathit \chi}_{{b0}}{(2P)}}$ MASS   $10232.5 \pm0.4 \pm0.5$ MeV

${\mathit m}_{{{\mathit \chi}_{{b1}}{(2P)}}}–{\mathit m}_{{{\mathit \chi}_{{b0}}{(2P)}}}$   $23.8 \pm1.7$ MeV

${{\mathit \gamma}}$ ENERGY IN ${{\mathit \Upsilon}{(3S)}}$ DECAY   $121.9 \pm0.4$ MeV

B( ${{\mathit \chi}_{{b0}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b0}}{(2P)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(1S)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ )   $(1.4 \pm0.9) \times 10^{-5}$

[B( ${{\mathit \chi}_{{b0}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b0}}{(2P)}}$ )] $/$ [B( ${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b1}}{(2P)}}$ )]   $0.017 \pm0.008$

B( ${{\mathit \chi}_{{b0}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b0}}{(2P)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(2S)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ )   $(4.4 \pm1.6) \times 10^{-5}$

[B( ${{\mathit \chi}_{{b0}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b0}}{(2P)}}$ )] $/$ [B( ${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b1}}{(2P)}}$ )]   $0.033 \pm0.006$

Decay Modes
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$   $(1.38\pm{0.30})\%$ 207   $\Gamma_{2}$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$   $(3.8\pm{1.7})\times 10^{-3}$ 743   $\Gamma_{3}$ ${{\mathit D}^{0}}{{\mathit X}}$   $<8.2\%$ CL=90%     $\Gamma_{4}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$   $<3.4\times 10^{-5}$ CL=90% 5064   $\Gamma_{5}$ 2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{-}}{{\mathit K}_S^0}$   $<5\times 10^{-5}$ CL=90% 5063   $\Gamma_{6}$ 2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{-}}{{\mathit K}_S^0}$ 2 ${{\mathit \pi}^{0}}$   $<2.2\times 10^{-4}$ CL=90% 5036   $\Gamma_{7}$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$   $<2.4\times 10^{-4}$ CL=90% 5092   $\Gamma_{8}$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$   $<1.5\times 10^{-4}$ CL=90% 5050   $\Gamma_{9}$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$   $<2.2\times 10^{-4}$ CL=90% 5035   $\Gamma_{10}$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$2 ${{\mathit \pi}^{0}}$   $<1.1\times 10^{-3}$ CL=90% 5019   $\Gamma_{11}$ 3 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{-}}{{\mathit K}_S^0}$ ${{\mathit \pi}^{0}}$   $<7\times 10^{-4}$ CL=90% 5018   $\Gamma_{12}$ 3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}$   $<7\times 10^{-5}$ CL=90% 5091   $\Gamma_{13}$ 3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$   $<1.2\times 10^{-3}$ CL=90% 5070   $\Gamma_{14}$ 3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$   $<1.5\times 10^{-4}$ CL=90% 5017   $\Gamma_{15}$ 3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$   $<7\times 10^{-4}$ CL=90% 4999   $\Gamma_{16}$ 4 ${{\mathit \pi}^{+}}$4 ${{\mathit \pi}^{-}}$   $<1.7\times 10^{-4}$ CL=90% 5069   $\Gamma_{17}$ 4 ${{\mathit \pi}^{+}}$4 ${{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$   $<6\times 10^{-4}$ CL=90% 5039
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