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Review Article

Analogues of the exotic hoyle state in the $^{12}$C nucleus

S. A. Goncharov$^1$, A. S. Demyanova$^2$, A. A. Ogloblin$^2$, A. N. Danilov$^2$, T. L. Belyaeva$^3$, and W. Trzaska$^4$

Moscow University Physics Bulletin 2015. 70. N 5. P. 333

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Annotation

Experimental data on inelastic scattering of alpha particles by the $^{11}$B, $^{12}$C, and $^{13}$C nuclei are analyzed using the modified diffraction model and the radii of these nuclei in some <<abnormal>> excited states are found. It is shown that the $0_{2}^{+}$ (7.65 MeV) Hoyle state in the $^{12}$C nucleus is the base state for a new $0_{2}^{+}-2_{2}^{+}-4_{2}^{+}$ rotational band (in addition to the ground-state band), in which the third member is the discovered $4_{2}^{+}$ (13.75 MeV) state. The radii of the $^{12}$C nucleus in the above-mentioned three states are 25–30% larger than its ground state radius. It is found that the radii of the $1/2^{–}$ (8.86 MeV) state in the $^{13}$C nucleus and the $3/2^{–}$ (8.56 MeV) state in the $^{11}$B nucleus are close to the radius of the Hoyle state in $^{12}$C and that a similar rotational band is based on the 8.56 MeV state. The above $^{13}$C and $^{11}$B states can be regarded as analogues of the Hoyle state. The prediction of the alpha-condensation model that a similar analogue in $^{11}$B is the 12.56 MeV state with a radius that is comparable with the nuclear radius of uranium was not confirmed.

Received: 2015 June 1
Approved: 2015 November 13
PACS:
25.55.Ci Elastic and inelastic scattering
21.10.Re Collective levels
24.10.Ht Optical and diffraction models
Rissian citation:
С.А. Гончаров, А.С. Демьянова, А.А. Оглоблин, А.Н. Данилов, Т.Л. Беляева, В. Трзаска.
Аналоги экзотического состояния Хойла ядра $^{12}$С.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2015. № 5. С. 3.
Authors
S. A. Goncharov$^1$, A. S. Demyanova$^2$, A. A. Ogloblin$^2$, A. N. Danilov$^2$, T. L. Belyaeva$^3$, and W. Trzaska$^4$
$^1$Department of Physics, Moscow State University, Moscow, 119991 Russia
$^2$Kurchatov Institute National Research Center, Moscow, 123182 Russia
$^3$Universidad Autonomo del Estado de Mexico, Toluca, 5000 Mexico
$^4$University of Jyväskylä, Jyväskylä, Finland
Issue 5, 2015

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