Inelastic form factors to alpha particle condensate states in 12C and 16O: what can we learn ?

Abstract

In order to discuss the spatial extention of the second 0+ state of 12C (Hoyle state), we analyze the inelastic form factor of electron scattering to the Hoyle state, which our 3 alpha condensate wave function reproduces very well like previous 3 alpha RGM/GCM models. The analysis is made by varying the size of the Hoyle state artificially. As a result, we find that only the maximum value of the form factor sensitively depends on its size, while the positions of maximum and minimum are almost unchanged. This size dependence is found to come from a characteristic feature of the transition density from the ground state to the Hoyle state. We further show the theoretical predictions of the inelastic form factor to the second 2+ state of 12C, which was recently observed above the Hoyle state, and of the inelastic form factor to the calculated third 0+ state of 16O, which was conjectured to correspond to the 4 alpha condensed state in previous theoretical work by the present authors.

arXiv comment5 pages, 10 figures, submitted to Phys. Rev. C (R)

References in corpus (4)

• Alpha cluster condensation in 12C and 16O
• Analysis of previous microscopic calculations for second $0^{+}$ state in ${}^{12}$C in terms of 3-alpha particle Bose-condensed state
• Resonance states in 12C and alpha-particle condensation
• New Treatment of Resonances with Bound State Approximation by Using Pseudo Potential

Cited by in corpus (35)

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• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
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• Evidence for an alpha cluster condensed state in 16O(alpha,alpha') at 400 MeV
• High precision probe of the fully sequential decay width of the Hoyle state in ${}^{12}$C
• Alpha-Particle Clustering from Expanding Self-Conjugate Nuclei within the Hartree-Fock-Bogoliubov Approach
• Signatures of alpha clustering in light nuclei from relativistic nuclear collisions
• Alpha particle clusters and their condensation in nuclear systems
• Nonlocalized cluster dynamics and nuclear molecular structure
• Microscopic study of 4-alpha-particle condensation with proper treatment of resonances
• Isoscalar dipole transition as a probe for asymmetric clustering
• Signatures of $\alpha$ clustering in ultra-relativistic collisions with light nuclei
• Alpha clusters and collective flow in ultra-relativistic carbon - heavy nucleus collisions
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Missing monopole strength of the Hoyle state in the inelastic $\alpha$+${}^{12}$C scattering
• Container evolution for cluster structures in ${}^{16}\mathrm{O}$
• Deformation and cluster structures in ${}^{12}$C studied with configuration mixing using Skyrme interactions
• Nuclear Alpha-Particle Condensates
• Isoscalar monopole and dipole excitations of cluster states and giant resonances in ${}^{12}$C
• Monopole excitation of the Hoyle state and linear-chain state in 12C
• Cluster structures in ${}^{12}$C from global energy density functionals
• Multi-cluster dynamics in ${}_{\Lambda }^{13}\mathrm{C}$ and analogy to clustering in ${}^{12}\mathrm{C}$
• Toroidal, compressive, and $E1$ properties of low-energy dipole modes in ${}^{10}$Be
• $\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation
• Thermal photons as a sensitive probe of $\alpha$-cluster in C+Au collisions at the BNL Relativistic Heavy Ion Collider
• Influence of nuclear structure in relativistic heavy-ion collisions
• Cluster structures and monopole transitions of ${}^{14}$C
• The Hoyle Family: The search for alpha-condensate states in light nuclei
• Consistent alpha-cluster description of the 12C (0^+_2) resonance
• Probing the isoscalar excitations of 12C with inelastic alpha scattering
• Local Potential Model of the Hoyle Band in 12C
• Relation between transition density and proton inelastic scattering by ${}^{12}$C target at $E_p=$ 65 and 200 MeV
• Alpha clustering and flow in ultra-relativistic heavy-ion collisions
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics