Semileptonic D meson decays to the vector, axial vector and scalar mesons in Hard-Wall AdS/QCD correspondence

Abstract

In this work, a Hard-Wall AdS/QCD model with 4 flavours is utilized to calculate the transition form factors for the semileptonic Drightarrow (V, A, S),ell ,nu _{ell }. These decays occur by c rightarrow d,ell ,nu _{ell } transition at quark level for D^{0} rightarrow rho ^{-}(b_{1}^{-}, a_{1}^{-}, a_{0}^{-}),ell ,nu _{ell }, D_{s}^{+} rightarrow K_{0}(K_{1A}^{0}, K_{1B}^{0}),ell ,nu _{ell } decays while the semileptonic decays D^{0} rightarrow K^{_{*-}}(K_{1A}^{_-}, K_{1B}^{_-}, K_{0}^{_-})ell ,nu _{ell } and D^{+} rightarrow {bar{K}}_{0}({bar{K}}_{1A}^{0}, {bar{K}}_{1B}^{0}),ell ,nu _{ell } proceed by c rightarrow , s, ell ,nu _{ell } transition. The masses and decay constants of scalar mesons as well as the form factors and the branching ratios of aforementioned decays are calculated in our model, and a comparison is also made between our results and predictions of other theoretical methods and the existing experimental values.