α-cluster structure of 12C and 16O in the covariant density functional theory with a shell-model-like approach

LIU Lang; ZHAO Peng-Wei

doi:10.1088/1674-1137/36/9/004

Chinese Physics C> 2012, Vol. 36> Issue(9) : 818-822 DOI: 10.1088/1674-1137/36/9/004

α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach

LIU Lang ^, ,
ZHAO Peng-Wei ^,

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Abstract：
The α-cluster structures for ¹²C and ¹⁶O are investigated in the framework of the covariant density functional theory, where the pairing correlation is treated with a particle number conserving shell-model-like approach. The ground states of ¹²C and ¹⁶O have been calculated and the density distributions demonstrate an equilateral triangle 3α clustering for ¹²C and a regular tetrahedron 4α clustering for ¹⁶O. The existence of linear nα chain structure of both ¹²C and ¹⁶O is revealed at high quadrupole deformation.

References

[1]

Greiner W. Z. Phys. A, 1994, 349: 315[2] Ikeda K, Takigawa N, Horiuchi H. Prog. Theor. Phys. Suppl., 1968, Extra Number 68: 464[3] Horiuchi H, Ikeda K, Suzuki Y. Prog. Theor. Phys. Suppl., 1972, 52: 89[4] Freer M, Merchant A C. J. Phys. G, 1997, 23: 261[5] Tohsaki A, Horiuchi H, Schuck P et al. Phys. Rev. Lett., 2001, 87: 192501[6] Kanada-En'Yo Y, Horiuchi H. Prog. Theor. Phys. Suppl., 2001, 142: 205[7] Feldmeier H, Schnack J. Rev. Mod. Phys., 2000, 72: 655.[8] MENG Jie, GUO Jian-You, LIU Lang et al. Front. Phys. China, 2006, 1: 38[9] Arumugam P, Sharma B K, Patra S K et al. Phys. Rev. C, 2005, 71: 064308[10] ZHANG Wei, LIANG Hao-Zhao, ZHANG Shuang-Quan et al. Chin. Phys. Lett., 2010, 27: 102103[11] Ring P. Prog. Part. Nucl. Phys., 1996, 37: 193[12] MENG Jie, Toki H, ZHOU Shan-Gui et al. Prog. Part. Nucl. Phys., 2006, 57: 470[13] MENG Jie, GUO Jian-You, LI Jian et al. Prog. Phys., 2011, 31: 199[14] Ginocchio J N. Phys. Rep., 2005, 414(4-5): 165[15] MENG Jie, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev. C, 1998, 58(2): R628[16] LIANG Hao-Zhao, ZHAO Peng-Wei, ZHANG Ying et al. Phys. Rev. C, 2011, 83(4): 041301[17] Koepf W, Ring P. Nucl. Phys. A, 1989, 493(1): 61[18] Afanasjev A V, Ring P, Knig J. Nucl. Phys. A, 2000, 676: 196[19] ZHAO Peng-Wei, ZHANG Shuang-Quan, PENG Jing et al. Phys. Lett. B, 2011, 699(3): 181[20] ZHAO Peng-Wei, PENG Jing, LIANG Hao-Zhao et al. Phys. Rev. Lett., 2011, 107: 122501[21] ZHAO Peng-Wei, PENG Jing, LIANG Hao-Zhao et al. Phys. Rev. C, 2012, 85: 054310[21] Gambhir Y K, Ring P, Thimet A. Ann. Phys. (N.Y.), 1990, 198: 132[22] ZENG Jin-Yan, CHENG Tan-Sheng. Nucl. Phys. A, 1983, 405: 1[23] WU Chong-Shi, ZENG Jin-Yan. Phys. Rev., C, 1989, 39: 666[24] ZHANG Zhen-Hua, ZENG Jin-Yan, ZHAO En-Guang et al. Phys. Rev. C, 2011, 83: 011304[25] ZHANG Zhen-Hua, HE Xiao-Tao, ZENG Jin-Yan et al. Phys. Rev. C, 2012, 85: 014324[26] LIU Lang, MENG Jie, ZHANG Shuang-Quan. HEP NP, 2006, 30: 299 (in Chinese)[27] WANG Pei-Wei, CHEN Hong, LI Jia-Xing et al. HEP NP, 2006, 30(Supp. II): 94 (in Chinese)[28] LIU Lang, WANG Pei-Wei, CHEN Hong et al. HEP NP, 2006, 30(S2): 230 (in Chinese)[29] LONG Wei-Hui, MENG Jie, Giai N V et al. Phys. Rev. C, 2004, 69: 034319[30] Ichikawa T, Maruhn J A, Itagaki N et al. Phys. Rev. Lett., 2011, 107: 112501[31] ZHAO Peng-Wei, LI Zhi-Pan, YAO Jiang-Ming et al. Phys. Rev. C, 2010, 82: 054319

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[9]	Yao Lishan . Dispersion Optical Model Analysis of the Neutron Cross Section Anomalv for ¹⁶O. Chinese Physics C, 1997, 21(8): 740-744.
[10]	Li Qingrun , Yang Yongxu . A Folding Model for ¹⁶O+¹²C System. Chinese Physics C, 1996, 20(3): 277-279.
[11]	Li Qingrun , Yang Yongxu . An Examination of the Cluster Structure for ¹⁶O by Means of Heavy-ion Scattering. Chinese Physics C, 1994, 18(5): 439-442.
[12]	Zheng Jiwen , Zheng Pingzi , Liu Guoxing , Chen Keliang , Wang Sufang , Bai Xingping , Yu Xian , Zhang Huanqiao , Xu Jincheng , Liu Zuhua , Ruan Ming , Lu Jun , Xu Kan . Measurement of Complete Fusion Excitation Function of ¹⁶O + ²⁸Si Reaction. Chinese Physics C, 1992, 16(S3): 227-234.
[13]	LI Qing-Run , ZHOU Jin-Li . A Test of the α-Particle Structure of ¹⁶O by Means of the Proton Scattering. Chinese Physics C, 1992, 16(3): 229-234.
[14]	KONG Xiang-Jing , LI Pan-Lin . About Three-Body Exit Channel in the Reaction ¹²C+¹⁶O at E_L(¹⁶O)=56MeV. Chinese Physics C, 1991, 15(8): 748-753.
[15]	LI Qing-Run . LARGE-ANGLE ELASTIC SCATTERING OF π⁺ AND π^－ FROM ¹⁶O AT 114MeV. Chinese Physics C, 1988, 12(4): 509-512.
[16]	Li Qingrun . Large-Angle Elastic Scattering of π⁺ and π^- from ¹⁶O at 114 MeV. Chinese Physics C, 1988, 12(S3): 293-296.
[17]	GAO Cheng-Qun , HE Guo-Zhu . ON THE REACTION MECHANISM OF ALPHA TRANSFER REACTION FOR ¹⁶O(¹⁶O, ¹²C)²⁰Ne. Chinese Physics C, 1987, 11(5): 667-673.
[18]	CHEN XUE-JUN , YIN DING , LIU XIAN-HUI . QUASI-FREE (p,pα) REACTION INDUCED BY THE INTERMEDIATE ENERGY PROTON ON ¹²C AND ¹⁶O. Chinese Physics C, 1982, 6(6): 768-770.
[19]	LIU BO , WU ZONG-EN . A MICROSCOPIC CALCULATION OF π⁺-¹⁶O ELASTIC SCATTERING. Chinese Physics C, 1981, 5(1): 134-136.
[20]	YU YOU-WEN , TZU HSI-CHUEN , WU WEI-FANG . FINE STRUCTURE OF THE GIANT DIPOLE RESONACE IN ¹⁶O. Chinese Physics C, 1978, 2(3): 280-284.

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LIU Lang and ZHAO Peng-Wei. α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach[J]. Chinese Physics C, 2012, 36(9): 818-822. doi: 10.1088/1674-1137/36/9/004

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Received: 2012-03-28
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach

Corresponding author: LIU Lang,

Corresponding author: ZHAO Peng-Wei,

Received Date: 2012-03-28

Accepted Date: 1900-01-01

Available Online: 2012-09-05

Abstract: The α-cluster structures for ¹²C and ¹⁶O are investigated in the framework of the covariant density functional theory, where the pairing correlation is treated with a particle number conserving shell-model-like approach. The ground states of ¹²C and ¹⁶O have been calculated and the density distributions demonstrate an equilateral triangle 3α clustering for ¹²C and a regular tetrahedron 4α clustering for ¹⁶O. The existence of linear nα chain structure of both ¹²C and ¹⁶O is revealed at high quadrupole deformation.

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α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach

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α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach

Corresponding author: LIU Lang,

Corresponding author: ZHAO Peng-Wei,

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