First search for the η c 2 (1 D ) in B decays at Belle

The first dedicated search for the η c 2 (1 D ) is carried out using the decays B + → η c 2 (1 D ) K + , B 0 → η c 2 (1 D ) K_S^0 , B 0 → η c 2 (1 D ) π − K + , and B + → η c 2 (1 D ) π + K_S^0 with η c 2 (1 D ) → h c γ . No significant signal is found. For the η c 2 (1 D ) mass range between 3795 and 3845 MeV /c 2 , the branching-fraction upper limits are determined to be ℬ( B + → η c 2 (1 D ) K + ) × ℬ( η c 2 (1 D ) → h c γ ) < 3 . 7 × 10 − 5 , ℬ( B 0 → η c 2 (1 D ) K 0 ) × ℬ( η c 2 (1 D ) → h c γ ) < 3 . 5 × 10 − 5 , ℬ( B 0 → η c 2 (1 D ) π − K + ) × ℬ( η c 2 (1 D ) → h c γ ) < 1 . 0 × 10 − 4 , and ℬ( B + → η c 2 (1 D ) π + K_S^0 ) × ℬ( η c 2 (1 D ) → h c γ ) < 1 . 1 × 10 − 4 at 90