Structure of low-lying 12C resonances

The hyperspherical adiabatic expansion is combined with complex scaling and used to calculate low-lying nuclear resonances of C-12 in the 3 alpha model. We use Ali-Bodmer potentials and compare results for other potentials alpha-alpha with similar Be-8 properties. A three-body potential is used to adjust the C-12 resonance positions to desired values extending the applicability of the method to many-body systems decaying into three alpha-particles. For natural choices of three-body potentials we find 14 resonances below the proton separation threshold, i.e. two 0(+), three 2(+), two 4(+), one of each of 1(+/-), 2(-), 31(+/-), 4(-), and 6(+). The partial-wave decomposition of each resonance is calculated as a function of the hyperradius. Strong variation is found from small to large distance. The connection to previous experimental and theoretical results is discussed and agreements as well as disagreements are emphasized.