{
  "id": "1403.7940",
  "version": "v2",
  "published": "2014-03-31T10:26:36.000Z",
  "updated": "2014-09-19T06:38:14.000Z",
  "title": "Searching for 4$α$ linear-chain structure in excited states of $^{16}$O with a covariant density functional theory",
  "authors": [
    "J. M. Yao",
    "N. Itagaki",
    "J. Meng"
  ],
  "comment": "10 pages with 11 figures and 3 tables",
  "categories": [
    "nucl-th",
    "nucl-ex"
  ],
  "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 $13-18\\hbar$; however whether the state is pure $4\\alpha$ linear chain or not is less obvious than that in the low-spin states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-31T10:26:36.000Z",
      "abstract": "A study of 4$\\alpha$ linear-chain structure (LCS) 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 (GCM). 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 the LCS candidate in both high-lying low-spin GCM states and cranking high-spin states with similar moment of inertia and band-head energy, which are estimated to be around 0.11 MeV and 30 MeV, respectively. The intrinsic configuration is considered to be the one that 4$\\alpha$ clusters stay along a common axis and nucleons occupy the $(s)^4(p)^4(d)^4(f)^4$ configurations in a nonlocal way. Moreover, our results indicate that the spin and orbital angular momenta of all nucleons are parallel in the LCS states but the sum of spin-orbit splitting energies turns out to be much smaller than that of shell-like state. Besides, our fully microscopic GCM calculation has reproduced the excitation energies and $B(E2)$ values rather well for the rotational band built on the second $0^+$ state which has been previously considered to have $^{12}$C+$\\alpha$ structure, and the dominant configuration turns out to be four $\\alpha$ clusters with \"kite\"-like shape.",
      "comment": "10 pages with 10 figures and 3 tables",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-19T06:38:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.60.Jz",
      "21.10.Re",
      "23.20.-g",
      "21.10.Gv"
    ],
    "keywords": [
      "covariant density functional theory",
      "linear-chain structure",
      "excited states",
      "quadrupole deformed mean-field states",
      "projected quadrupole deformed mean-field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevC.90.054307"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1287975,
      "adsabs": "2014arXiv1403.7940Y"
    }
  }
}