Publisher's Note: Estimation of direct components of the decay of the Hoyle state [Phys. Rev. C88, 021601(R) (2013)]

Search for rotational state of Hoyle state in complete kinematic experiment12C(α, α′) 3α

“…12 C * → 8 Be(g.s) + α → α + α + α), in agreement with the earlier findings [12] as well as the recent one [13]. In the next step, the 12 C * excitation energy spectrum has been generated from the inelastic α-scattering data of the backward telescope in coincidence with a gate on the observed Hoyle state in Figure 1, which has been shown in Figure 3.…”

Complete kinematical study of the 3 $\alpha$ breakup of the 16.11 MeV state in 12C

“…In the same experiment the breakup of the (0 + , 0) state at 7.65 MeV was shown to be primarily sequential [12]; see also refs. [13][14][15].…”

Further limit on 3α decay of Hoyle state

“…The optimisation procedure was further repeated for a large number of times with different sets of simulated data sampled randomly from a much larger pool of simulated events to extract the complete range and distribution of the best fit values for each mode. Finally, these distributions have been used to obtain the optimum values of the contributions of various direct decay modes [15]. In figure 2, solid circle are the experimental data, dotted line (black), solid line (red) and the dash line (blue) are the SD, best fit and the upper limit with 99.75 % confidence limit, respectively.…”