Molecular-orbital structure in neutron-rich C isotopes

Abstract

The molecule-like structure of the C isotopes (A=12, 14, 16) is investigated using a microscopic $\alpha +\alpha +\alpha +n+n+\cdot \cdot \cdot$ model. The valence neutrons are classified based on the molecular-orbit (MO) model, and both $\pi$-orbit and $\sigma$-orbit are introduced around three $\alpha$-clusters. The valence neutrons which occupy the $\pi$-orbit increase the binding energy and stabilize the linear-chain of 3$\alpha$ against the breathing-like break-up. However, ${}^{14}$C with the $\pi$-orbit does not show clear energy minimum against the bending-like path. The combination of the valence neutrons in the $\pi$- and the $\sigma$-orbit is promising to stabilize the linear-chain state against the breathing- and bending- modes, and it is found that the excited states of ${}^{16}$C with the $(3/2_{\pi }^{-}{)}^2(1/2_{\sigma }^{-}{)}^2$ configuration for the four valence neutrons is one of the most promising candidates for such structure.

9 pages, latex, 4 figures

Cited by in corpus (40)

• Microscopic Clustering in Light Nuclei
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Cluster structures of excited states in ${}^{14}$C
• Linear chain structure of four-$\alpha$ clusters in ${}^{16}$O
• Localization in light nuclei
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Density Functional Theory studies of cluster states in nuclei
• Experimental investigation of a linear-chain structure in the nucleus 14C
• Positive-parity linear-chain molecular band in ${}^{16}$C
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Selective decay from a candidate of the $\sigma$-bond linear-chain state in ${}^{14}$C
• Alpha Cluster Structure and Exotic States in a Self-Consistent Model for Light Nuclei
• Cluster structures in ${}^{11}$B
• Structure and decay pattern of linear-chain state in 14C
• 3alpha clustering in the excited states of 16C
• Triaxial deformation in 10Be
• 4He decay of excited states in 14C
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• Be-$\alpha$ correlations in the linear-chain structure of C isotopes
• alpha-decay of excited states in 11C and 11B
• Three-body decay of linear-chain states in ${}^{14}$C
• Evidence for strong refraction of ${}^3$He in an alpha-particle condensate
• Real-time evolution method and its application to 3$\alpha$ cluster system
• Single-particle spatial dispersion and clusters in nuclei
• Characteristic αand ^{6}He decays of the linear-chains in ^{16}C
• Effects of rotation and valence nucleons in molecular-like $\alpha$-chain nuclei
• Open Problems in $\alpha$ Particle Condensation
• Examination of the stability of a rod-shaped structure in ${}^{24}$Mg
• Cluster structures and monopole transitions of ${}^{14}$C
• Three triton states in 9Li
• Cluster structure of 13C probed via the 7Li(9Be,13C*->9Be+alpha) reaction
• Shape of 13C studied by the real-time evolution method
• A variety of clustering in ${}^{18}$O
• Gamow-Teller transitions and proton-neutron pair correlation in $N=Z=$ odd $p$-shell nuclei
• Cluster structure in stable and unstable nuclei
• Drastic change in inelastic scattering depending on the development of dineutron correlation in ${}^{10}$Be
• ${}^{10}$B+$\alpha$ states with chain-like structures in ${}^{14}$N
• On deformability of atoms---comparative study between atoms and atomic nuclei
• 4$\alpha$ linear-chain state produced by ${}^9$Be+${}^9$Be collision
• Neutron drop trapped in axially deformed external fields