Searching for 4$\alpha$ linear-chain structure in excited states of ${}^{16}$O with a covariant density functional theory

Abstract

A study of 4$\alpha$ linear-chain structure in high-lying collective excitation states of ${}^{16}$O with a covariant density functional theory is presented. The low-spin states are obtained by configuration mixing of particle-number and angular-momentum projected quadrupole deformed mean-field states with generator coordinate method. The high-spin states are determined by cranking calculations. These two calculations are based on the same energy density functional PC-PK1. We have found a rotational band at low-spin with the dominated intrinsic configuration considered to be the one that 4$\alpha$ clusters stay along a common axis. The strongly deformed rod shape also appears in the high-spin region with the angular momentum $13-18\hslash$; however whether the state is pure $4\alpha$ linear chain or not is less obvious than that in the low-spin states.

10 pages with 11 figures and 3 tables

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• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• From superdeformation to extreme deformation and clusterization in the N~Z nuclei of the A~40 mass region
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• The possibility of ${}^{14}$C cluster as a building block of medium mass nuclei
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• Effects of rotation and valence nucleons in molecular-like $\alpha$-chain nuclei
• Single particle in a reflection-asymmetric potential
• Octupole deformation in neutron-rich actinides and superheavy nuclei and the role of nodal structure of single-particle wavefunctions in extremely deformed structures of light nuclei
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• Correlated-Gaussian approach to linear-chain states -Case of four $\alpha$-particles-
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• Generator coordinate method for nuclear octupole excitations: status and perspectives
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• Model for independent particle motion
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