Excitation functions of elastic and inelastic Be7+p scattering were measured in the energy range between 1.6 and 2.8MeV in the c.m. An R-matrix analysis of the excitation functions provides strong evidence for new positive parity states in B8. A new 2+ state at an excitation energy of 2.55MeV was observed, and a new 0+ state at 1.9MeV is tentatively suggested. The R-matrix and time-dependent continuum shell model were used in the analysis of the excitation functions. The new results are compared to the calculations of contemporary theoretical models. 2010 The American Physical Society.