Study of e+e− → D+D−π+π− at center-of-mass energies from 4.36 to 4.60GeV

We report a study of the e+e−→D+D−π+π− process using e+e− collision data samples with an integrated luminosity of 2.5fb−1 at center-of-mass energies from 4.36 to 4.60GeV, collected with the BESIII detector at the BEPCII storage ring. The D1(2420)+ is observed in the D+π+π− mass spectrum. The mass and width of the D1(2420)+ are measured to be (2427.2±1.0stat.±1.2syst.)MeV/c2 and (23.2±2.3stat.±2.3syst.)MeV, respectively. In addition, the Born cross sections of the e+e−→D1(2420)+D−+c.c.→D+D−π+π− and e+e−→ψ(3770)π+π−→D+D−π+π− processes are measured as a function of the center-of-mass energy.