Measurement of e+e- →π+π-D+D- cross sections at center-of-mass energies from 4.190 to 4.946 GeV

Using data samples collected with the BESIII detector operating at the BEPCII storage ring, we measure the cross sections of the e+e-→π+π-D+D- process at center-of-mass energies from 4.190 to 4.946 GeV with a partial reconstruction method. Resonance structures are seen and the cross section line shape can be described by the coherent sum of either two Breit-Wigner functions or a Breit-Wigner function and a phase space term. The mass and width of the resonance at about 4.4 GeV are determined to be (4371.6±2.5±9.2) MeV/c2 and (167±4±29) MeV, respectively, which are in agreement with those of the ψ(4360) or Y(4390) state. The spin-3D-wave charmonium state X(3842) is searched for through the e+e-→π+π-X(3842)→π+π-D+D- process, and evidence with a significance of 4.2σ is found in the data samples with center-of-mass energies from 4.6 to 4.7 GeV