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arXiv · 1704.03123

Correlated-Gaussian approach to linear-chain states -Case of four $α$-particles-

Y. Suzuki·W. Horiuchi
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Abstract

We show that correlated Gaussians with good angular momentum and parity provide flexible basis functions for specific elongated shape. As its application we study linear-chain states of four-alpha particles in variation-after-projection calculations in which all the matrix elements are evaluated analytically. We find possible chain states for $J=0^+$, $2^+$, $4^+$ and perhaps $6^+$ with the bandhead energy being about 33 MeV from the ground state of $^{16}$O. No chain states with $J\geq 8$ are found. The nature of the rotational sequence of the chain states is clarified in contrast to a rigid-body rotation. The quadrupole deformation parameters estimated from the chain states increase from 0.59 to 1.07 for $2^+$ to $6^+$. This work suggests undeveloped fields for the correlated Gaussians beyond those problems which have hitherto been solved successfully.

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BibTeXRIS

Y. Suzuki, W. Horiuchi. 2017-04-11. Correlated-Gaussian approach to linear-chain states -Case of four $α$-particles-. https://doi.org/10.1103/physrevc.95.044320

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