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

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 \[f_0(500)\], \[f_0(980)\] and \[a_0(980)\] 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 \[a_0(980)\].