2024-03-29T01:53:17Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/662942022-11-17T02:08:08Zhdl_2115_20039hdl_2115_116Correlated-Gaussian approach to linear-chain states : Case of four α particlesSuzuki, Y.Horiuchi, W.420We show that correlated Gaussians with good angular momentum and parity provide flexible basis functions for specific elongated shape. As an application we study linear-chain states of four a particles in variation-after-projection calculations in which all the matrix elements are evaluated analytically. We find possible chain states for J(pi) = 0(+), 2(+), 4(+) and perhaps 6(+) with the bandhead energy being about 33 MeV from the ground state of O-16. No chain states with J >= 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.American Physical Society (APS)Journal Articleapplication/pdfhttp://hdl.handle.net/2115/66294https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/66294/1/PhysRevC95%20044320.pdf2469-9985Physical review C954443202017-04-24enginfo:doi/10.1103/PhysRevC.95.044320©2017 American Physical Societypublisher