The decays of , and into plus a scalar or vector meson

Ju-Jun Xie; Gang Li

doi:10.1140/epjc/s10052-018-6353-4

EPJ

The decays of $\bar{B}^0$ , $\bar{B}^0_s$ and $$B^-$$

into $\eta _c$ plus a scalar or vector meson

Ju-Jun Xie¹ and Gang Li²^*

¹ Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China
² School of Physics and Engineering, Qufu Normal University, Qufu, 273165, China

Received: 21 September 2018
Accepted: 16 October 2018
Published online: 26 October 2018

Abstract

We investigate the decays of $\bar{B}^0_s$ , $\bar{B}^0$ and $$B^-$$

into $\eta _c$ plus a scalar or vector meson in a theoretical framework by taking into account the dominant process for the weak decay of $\bar{B}$ meson into $\eta _c$ and a $q\bar{q}$ pair. After hadronization of this $q\bar{q}$ component into pairs of pseudoscalar mesons we obtain certain weights for the pseudoscalar meson-pseudoscalar meson components. In addition, the $\bar{B}^0$ and $\bar{B}^0_s$ decays into $\eta _c$ and $\rho ^0$ , $$K^*$$

are evaluated and compared to the $\eta _c$ and $\phi$ production. The calculation is based on the postulation that the scalar mesons $$f_0(500)$$

and

are dynamically generated states from the pseudoscalar meson-pseudoscalar meson interactions in S-wave. Up to a global normalization factor, the $\pi \pi$ , $K \bar{K}$ and $\pi \eta$ invariant mass distributions for the decays of $\bar{B}^0_s \rightarrow \eta _c \pi ^+ \pi ^-$ , $\bar{B}^0_s \rightarrow \eta _c K^+ K^-$ , $\bar{B}^0 \rightarrow \eta _c \pi ^+ \pi ^-$ , $\bar{B}^0 \rightarrow \eta _c K^+ K^-$ , $\bar{B}^0 \rightarrow \eta _c \pi ^0 \eta$ , $B^- \rightarrow \eta _c K^0 K^-$ and $B^- \rightarrow \eta _c \pi ^- \eta$ are predicted. Comparison is made with the limited experimental information available and other theoretical calcualtions. Further comparison of these results with coming LHCb measurements will be very valuable to make progress in our understanding of the nature of the low lying scalar mesons, $$f_0(500), f_0(980)$$

and

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EPJ

The decays of $\bar{B}^0$ , $\bar{B}^0_s$ and into $\eta _c$ plus a scalar or vector meson

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