Structure of <I>A</I>=11 double-Λ hypernuclei studied withthree-body forces

H. Sadeghi; Sh. Nahidinejad; K. Bahraminejad

doi:10.1088/1674-1137/37/5/054101

Chinese Physics C> 2013, Vol. 37> Issue(5) : 054101 DOI: 10.1088/1674-1137/37/5/054101

Structure of A=11 double-Λ hypernuclei studied withthree-body forces

Abstract
HTML
Reference
Related

PDF

Abstract：
The energy levels and ΛΛ bond energy of the double-Λ hypernucleus ¹¹Be are calculated considering two- and three-nucleon forces. The interactions between the constituent particles are contact interactions that reproduce the low-energy binding energy of the nuclei. Effective action is constructed to involve the three-body forces. In this paper, we compare the binding energy result that is obtained with the experimental and other modern nucleon-nucleon potentials. The results of all the schemes agree very well, showing the high accuracy of our present ability to calculate the many-nucleon bound state with three-body forces. The experimental value of B_{Λ Λ}(_ΛΛ¹¹Be)=20.83 MeV seems to be more compatible with our calculated value of B_ΛΛ(_ΛΛ¹¹Be)=19.31 MeV in comparison with the calculated result of 18.23 MeV by Hiyama et al.

References

[1]

Wiringa R B, Stoks V G J, Schiavilla R. Phys. Rev. C, 1995, 51: 38[2] Pudliner B S et al. Phys. Rev. C, 1997, 56: 1720[3] Takaki H, WANG Xi-Cang, Bando H. Prog. Theor. Phys., 1989, 83: 13[4] Bodmer A R, Usmani Q N, Carlson J. Nucl. Phys. A, 1984, 422: 510[5] Bodmer A R, Usmani Q N. Nucl. Phys. A, 1987, 468: 653[6] Filikhin I N, Gal A. Phys. Rev. C, 2002, 65: 041001[7] Filikhin I N, Gal A. 2002, arXiv:nucl-th/0203036[8] Hiyama E et al. Prog. Theor. Phys., 1997, 97: 881[9] Furutani H et al. Prog. Thore. Phys. Suppl., 1980, 68: 193[10] Hiyama E et al. Phys. Rev. Lett., 2010, 104: 212502[11] Nakazawa K. Nucl. Phys. A, 2010, 835: 207[12] Gal A, Millener D J Millener 2011, arXiv:nucl-th/1104.3429[13] Kanada H, Kaneko T, Nagata S, Nomoto M. Prog. Thoer. Phys., 1979, 61: 1327[14] Furutani H et al. Prog. Theor. Phys. Suppl., 1980, 68: 193[15] Hasegawa A, Nagata S. Prog. Theor. Phys., 1971, 45: 1786[16] Yamamoto Y et al. Prog. Theor. Phys. Suppl., 1994, 117: 361[17] Semon M D, Taylor J R. Nuovo Cimento A, 1975, 26: 48[18] Johnson R C, Soper P J R. Phys. Rev. C, 1970, 1: 976[19] Austern N et al. Phys. Rep., 1987, 154: 125[20] Giannini M M, Ricco G. Ann. Phys. (NY), 1976, 102: 458[21] Giannini M M, Ricco G, Aucchiatti A. Ann. Phys. (NY), 1980, 124: 208[22] Deltuva A. Phys. Rev. C, 2009, 80: 064002[23] Deltuva A. Phys. Rev. C, 2006, 74: 064001[24] Glckle W. The Quantum Mechanical Few-Body Problem, Texts and Monographs in Physics. Berlin: Springer, 1983[25] Miyagawa K, Glckle W. Phys. Rev. C, 1993, 48: 2576[26] Khaldi K, Elster C H, Glckle W. Phys. Rev. C, 2010, 82: 054002[27] Golak J et al. Phys. Rept., 2005, 415: 89

[1]	Qi-Jun Zhi , Xiao-Ping Zhang , Ji-Lin You , Qiang Zheng , Zhong-Zhou Ren . Calculation of double-β decay half-lives using an improved Primakoff-Rosen formula. Chinese Physics C, 2021, 45(8): 084102. doi: 10.1088/1674-1137/ac0097
[2]	Zhi-Wei Zuo , Jun-Chen Pei , Xue-Yu Xiong , Yi Zhu . Global analysis of Skyrme forces with higher-order density dependencies. Chinese Physics C, 2018, 42(6): 064106. doi: 10.1088/1674-1137/42/6/064106
[3]	JI Juan-Xia , LI Jia-Xing , HAN Rui , WANG Jian-Song , HU Qiang . The neutron halo structure of ¹⁷B studied with the relativistic Hartree-Bogoliubov theory. Chinese Physics C, 2012, 36(1): 43-47. doi: 10.1088/1674-1137/36/1/007
[4]	WANG Han-Kui , GAO Zao-Chun , CHEN Yong-Shou , GUO Jian-You , CHEN Yong-Jing , TU Ya . The structure of the spherical tensor forces in the USD and GXPF1A shell model Hamiltonians. Chinese Physics C, 2011, 35(8): 753-757. doi: 10.1088/1674-1137/35/8/010
[5]	Martinez Torres . Three-body hadronic molecules. Chinese Physics C, 2010, 34(9): 1286-1289. doi: 10.1088/1674-1137/34/9/025
[6]	WANG Qing , WANG Shun-Zhi , ZHANG Ying . New gauge forces beyond the standard model. Chinese Physics C, 2010, 34(2): 277-286. doi: 10.1088/1674-1137/34/2/025
[7]	MA Guo-Liang . Search for the origin of double-peak structure at RHIC by AMPT model with triggered di-jet. Chinese Physics C, 2010, 34(9): 1456-1458. doi: 10.1088/1674-1137/34/9/070
[8]	FU Yao , FANG De-Qing , MA Yu-Gang , CAI Xiang-Zhou , GUO Wei , MA Chun-Wang , TIAN Wen-Dong , WANG Hong-Wei , WANG Kun . Isoscaling behavior studied by HIPSE model. Chinese Physics C, 2009, 33(S1): 126-129. doi: 10.1088/1674-1137/33/S1/040
[9]	ZHOU Xian-Rong . Properties of deformed Λ hypernuclei. Chinese Physics C, 2009, 33(S1): 82-85. doi: 10.1088/1674-1137/33/S1/027
[10]	ZHENG Yong-Nan , ZHOU Dong-Mei . Nuclear structure of proton-rich unstable nucleus ²⁸P studied by g-factor measurement. Chinese Physics C, 2009, 33(S1): 215-217. doi: 10.1088/1674-1137/33/S1/069
[11]	ZHAO Yu-Min . Collectivity under random two-body interactions. Chinese Physics C, 2008, 32(S2): 106-108.
[12]	JING Han-Tao , SHEN Peng-Nian , JIANG Huan-Qing . Production of Λ-hypernuclei in A(p,K⁺)_ΛB reactions. Chinese Physics C, 2008, 32(12): 962-971. doi: 10.1088/1674-1137/32/12/005
[13]	Zhang Changhua , Gu Jinnan . Stucture of Nucleus ¹¹Be. Chinese Physics C, 1997, 21(3): 260-263.
[14]	Shen Yaosong , Ren Zhongzhou . Relativistic Mean-field Calculation on Λ Hypernuclei. Chinese Physics C, 1997, 21(S4): 47-54.
[15]	Cheng Zitao , Liu Xianhui . Study of the Double A Hypernuclei _∧∧⁵H, _∧∧⁵He, _∧∧⁴H and _∧∧⁴He. Chinese Physics C, 1996, 20(S3): 285-293.
[16]	Duan Yiwu . Three-Body Model of ¹¹Li. Chinese Physics C, 1995, 19(1): 59-63.
[17]	Duan Yiwu , Liu Guimin . Neutron Halo Structure of ¹¹Li. Chinese Physics C, 1994, 18(8): 736-740.
[18]	Weng Huimin , Zhou Xianyi , Xu Jihua , Sun Shijun , Zhu Jingsheng , Wu Shulan , Han Rongdian . Microstructure of Al/GaAs Interface Studied by Slow Positron Beam. Chinese Physics C, 1993, 17(S2): 101-109.
[19]	REN Zhong-Zhou , XU Gong-Ou . A Three-Body Model of ¹¹Li,¹⁴Be and ¹⁷B. Chinese Physics C, 1991, 15(8): 737-741.
[20]	Li Zhuxia , Shi Yijing , Wu Xizhen , Wang Zhongqi , Zhuo Yizhong . Quantum Effect and One-Body Dissipation. Chinese Physics C, 1990, 14(S3): 291-299.

Access

Get Citation

H. Sadeghi, Sh. Nahidinejad and K. Bahraminejad. Structure of A=11 double-Λ hypernuclei studied withthree-body forces[J]. Chinese Physics C, 2013, 37(5): 054101. doi: 10.1088/1674-1137/37/5/054101

H. Sadeghi, Sh. Nahidinejad and K. Bahraminejad. Structure of A=11 double-Λ hypernuclei studied withthree-body forces[J]. Chinese Physics C, 2013, 37(5): 054101. doi: 10.1088/1674-1137/37/5/054101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2012-06-12
Revised: 1900-01-01

Article Metric

Article Views(2256)
PDF Downloads(306)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Structure of A=11 double-Λ hypernuclei studied withthree-body forces

Corresponding author: H. Sadeghi,

Received Date: 2012-06-12

Accepted Date: 1900-01-01

Available Online: 2013-05-05

Abstract: The energy levels and ΛΛ bond energy of the double-Λ hypernucleus ¹¹Be are calculated considering two- and three-nucleon forces. The interactions between the constituent particles are contact interactions that reproduce the low-energy binding energy of the nuclei. Effective action is constructed to involve the three-body forces. In this paper, we compare the binding energy result that is obtained with the experimental and other modern nucleon-nucleon potentials. The results of all the schemes agree very well, showing the high accuracy of our present ability to calculate the many-nucleon bound state with three-body forces. The experimental value of B_{Λ Λ}(_ΛΛ¹¹Be)=20.83 MeV seems to be more compatible with our calculated value of B_ΛΛ(_ΛΛ¹¹Be)=19.31 MeV in comparison with the calculated result of 18.23 MeV by Hiyama et al.

HTML

Reference (1)

Structure of A=11 double-Λ hypernuclei studied withthree-body forces

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Structure of A=11 double-Λ hypernuclei studied withthree-body forces

Corresponding author: H. Sadeghi,

HTML

目录