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

INSPIRE

${{\mathit \chi}_{{b2}}{(2P)}}$ $I^G(J^{PC})$ = $0^+(2^{+ +})$ J need confirmation.

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

${{\mathit \chi}_{{b2}}{(2P)}}$ MASS   $10268.65 \pm0.22 \pm0.50$ MeV

${\mathit m}_{{{\mathit \chi}_{{b2}}{(2P)}}}–{\mathit m}_{{{\mathit \chi}_{{b1}}{(2P)}}}$   $13.10 \pm0.24$ MeV

${{\mathit \gamma}}$ ENERGY IN ${{\mathit \Upsilon}{(3S)}}$ DECAY   $86.19 \pm0.22$ MeV

B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \chi}_{{b2}}{(1P)}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \chi}_{{b2}}{(2P)}}{{\mathit X}}$ )   $(6.4 \pm0.9) \times 10^{-4}$

B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(1S)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ )   $(2.02 \pm0.18) \times 10^{-4}$

[B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ )] $/$ [B( ${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b1}}{(2P)}}$ )]   $0.666 \pm0.030$

B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(2S)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ )   $(2.74 \pm0.29) \times 10^{-4}$

[B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ )] $/$ [B( ${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b1}}{(2P)}}$ )]   $0.469 \pm0.020$

${{\mathit \chi}_{{b2}}{(2P)}}$ Decay Modes
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit \omega}}{{\mathit \Upsilon}{(1S)}}$   $(1.10^{+0.34}_{-0.30})\%$ 194   $\Gamma_{2}$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$   $(8.9\pm{1.2})\%$ 242   $\Gamma_{3}$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$   $(6.6\pm{0.8})\%$ 777   $\Gamma_{4}$ ${{\mathit \pi}}{{\mathit \pi}}{{\mathit \chi}_{{b2}}{(1P)}}$   $(5.1\pm{0.9})\times 10^{-3}$ 229   $\Gamma_{5}$ ${{\mathit D}^{0}}{{\mathit X}}$   $<2.4\%$ CL=90%     $\Gamma_{6}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$   $<1.1\times 10^{-4}$ CL=90% 5082   $\Gamma_{7}$ 2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{-}}{{\mathit K}_S^0}$   $<9\times 10^{-5}$ CL=90% 5082   $\Gamma_{8}$ 2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{-}}{{\mathit K}_S^0}$ 2 ${{\mathit \pi}^{0}}$   $<7\times 10^{-4}$ CL=90% 5054   $\Gamma_{9}$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$   $(3.9\pm{1.6})\times 10^{-4}$ 5110   $\Gamma_{10}$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$   $(9\pm{4})\times 10^{-5}$ 5068   $\Gamma_{11}$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$   $(2.4\pm{1.1})\times 10^{-4}$ 5054   $\Gamma_{12}$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$2 ${{\mathit \pi}^{0}}$   $(4.7\pm{2.3})\times 10^{-4}$ 5037   $\Gamma_{13}$ 3 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{-}}{{\mathit K}_S^0}$ ${{\mathit \pi}^{0}}$   $<4\times 10^{-4}$ CL=90% 5036   $\Gamma_{14}$ 3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}$   $(9\pm{4})\times 10^{-5}$ 5110   $\Gamma_{15}$ 3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$   $(1.2\pm{0.4})\times 10^{-3}$ 5088   $\Gamma_{16}$ 3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$   $(1.4\pm{0.7})\times 10^{-4}$ 5036   $\Gamma_{17}$ 3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$   $(4.2\pm{1.7})\times 10^{-4}$ 5017   $\Gamma_{18}$ 4 ${{\mathit \pi}^{+}}$4 ${{\mathit \pi}^{-}}$   $(9\pm{5})\times 10^{-5}$ 5087   $\Gamma_{19}$ 4 ${{\mathit \pi}^{+}}$4 ${{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$   $(1.3\pm{0.5})\times 10^{-3}$ 5058
FOOTNOTES