Search for η_c (2S) → p(p)over-bar and branching fraction measurements of χ_cJ → p(p)over-bar via ψ(2S) radiative decays

Using (27.12 +/- 0.14) x 10(8) psi(2S) events collected by the BESIII detector operating at BEPCII, we search for the decay eta(c) (2S) -> p (p) over bar via the process psi(2S) -> gamma eta(c)(2S) and only find a signal with a significance of 1.7 sigma. The upper limit of the product branching fraction at the 90% confidence level is determined to be B(psi(2S) -> gamma eta(c)(2S)) B(eta(c) (2S) -> p (p) over bar)< 2.4 x 10(-7). The branching fractions of chi(cJ) -> p (J = 0, 1, 2) are also measured to be B(chi(c0) -> p (p) over bar) = (2.51 +/- 0.02 +/- 0.08) x 10(-4), B(chi(c1) -> p (p) over bar) = (8.16 +/- 0.09 +/- 0.25) x 10(-4), and B(chi(c2) -> p (p) over bar) = (8.33 +/- 0.09 +/- 0.22) x 10(-4), where the first uncertainty is statistical and the second systematic.