α+C12inelastic angular distribution and nuclear size of

Evidence of enhanced threeαradius inα+12C inelastic scattering

“…This is because of the feature peculiar in the inelastic scattering, in which the size of the final wave function is filtered by the size of the initial wave function. As pointed out in Refs [10,11], the inelastic scattering going to the excited states are dominated by the size of the coupling potential, which induces the transition from the incident 0 + 1 state to the final 2 + 1,2 state. Since the coupling potential is determined by the overlap of the initial and final wave function, the size of the coupling potential is restricted by the distribution of the initial wave function.…”

“…Therefore, a coupling potential, which EPJ Web of Conferences 163, 00026 (2017) DOI: 10.1051/epjconf/201716300026 FUSION17 induces a transition from the initial channel to the final channel, is expected as a main ingredient for the angular distribution of the inelastic scattering, and the distortion potential or the density distribution in the exit channel may be not so effective in comparison to the effect of the coupling potential. In fact, a dominance of the coupling potential in the inelastic scattering has been already pointed out by Takashina et al [10,11]. By employing the MCC calculation, which is the same method as in Refs.…”

“…As pointed out in Refs [10,11], the potential or density distribution in the final 3α channel itself may play a minor role in inelastic scattering but a coupling potential contains an important information about the matter radius of the final 3α state. This is because the coupling potential is determined by an overlap of the wave function between the initial ground state and the final 3α state.…”

“…In the inelastic scattering of light ions by 12 C, which excites the 12 C(0 + 2 ) state in a final state, an oscillating pattern in the differential cross section of the scattered ion is discussed in connection to the enhanced radius of the final 0 + 2 ⋆ e-mail: itomk@kansai-u.ac.jp state with the 3α structure [5][6][7][8][9]. However, the relation of the extended radius and the oscillating pattern of the cross section of the 12 C inelastic scattering still remains unclear [10,11].…”

Structure of the Hoyle State of 12C Extracted from Reaction Observables

“…Despite a rather clear understanding of its three-α structure, the description of the Hoyle state appeared in reaction observables, the (α, α ′ ) inelastic scattering cross section in particular, has not been achieved. It was reported in many studies [1][2][3][4] that the (α, α ′ ) cross section theoretically obtained with using the transition density of 12 C from the ground state to the 0 + 2 state significantly overshot the observed cross section. This puzzle is called the missing monopole strength of the Hoyle state [2] and was not solved in the last decade.…”