Study about the Binding Energy of Light Double Hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH Based on Chiral SU(3) Quark Model

LU Xiao; LIU Guang-Dong; SHEN Peng-Nian

Chinese Physics C> 2006, Vol. 30> Issue(11) : 1074-1077

Study about the Binding Energy of Light Double Hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH Based on Chiral SU(3) Quark Model

Department of Physics, Guangxi Normal University, Guilin 541004, China2 Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

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Abstract：
In the framework of the resonating group method, the binding energies of double lambda hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH are calculated in the chiral SU(3) quark model. In the two-cluster approximation in which a two-lambda cluster and a core nuclei are considered, one finds that the resultant binding energy of double-lambda hypernuclei ^6_ΛΛHe is in good agreement with the experimental data. It means that the chiral SU(3) quark model can well-describe the spectrum of baryon, the interactions of N-N, Y-N, and the binding energies of light lambda hpernuclei, as well as the interaction of Y-Y and the binding energy of double-lambda hypernucleus. With the same set of parameters, we calculate the binding energies of light double-lambda hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH and discuss the possibilities of these states.

References

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. Takahashi H et al. Phys. Rev. Lett., 2001, 87: 2125022. Hiyama E et al. Phys. Rev., 2002, C66: 0240073. Hiyama E et al. Nucl. Phys.,2005, A754: 103c4. Oka M, Yazaki K. Prog. Theor. Phys., 1981, 66: 556;572; Faessler A et al. Nucl. Phys., 1983, A402: 5555. Straub U et al. Nucl. Phys., 1988, A438: 686; Phys. Lett.,1988, B200: 2416. ZHANG Zong-Ye, YU You-Wen, SHEN Peng-Nian et al.Nucl. Phys., 1997, A625: 597. ZHAO Hong-Ming et al. Communi. Theor. Phys., 2006, inpress8. ZHANG Miao-Jing, SHEN Peng-Nian et al. HEP NP,2001, 25(8): 7439. LU Xiao, BAI Ying et al. HEP NP, 2005, 29(7): 66810. ZHAO Hong-Ming et al. Communi. Theor. Phys., 2006, inpress

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LU Xiao, LIU Guang-Dong and SHEN Peng-Nian. Study about the Binding Energy of Light Double Hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH Based on Chiral SU(3) Quark Model[J]. Chinese Physics C, 2006, 30(11): 1074-1077.

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Received: 2006-01-25
Revised: 2006-02-10

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沈阳化工大学材料科学与工程学院沈阳 110142

Study about the Binding Energy of Light Double Hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH Based on Chiral SU(3) Quark Model

Corresponding author: LU Xiao,

Department of Physics, Guangxi Normal University, Guilin 541004, China2 Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

Received Date: 2006-01-25
Accepted Date: 2006-02-10
Available Online: 2006-11-05

Abstract: In the framework of the resonating group method, the binding energies of double lambda hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH are calculated in the chiral SU(3) quark model. In the two-cluster approximation in which a two-lambda cluster and a core nuclei are considered, one finds that the resultant binding energy of double-lambda hypernuclei ^6_ΛΛHe is in good agreement with the experimental data. It means that the chiral SU(3) quark model can well-describe the spectrum of baryon, the interactions of N-N, Y-N, and the binding energies of light lambda hpernuclei, as well as the interaction of Y-Y and the binding energy of double-lambda hypernucleus. With the same set of parameters, we calculate the binding energies of light double-lambda hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH and discuss the possibilities of these states.