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2024年10月30日

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

  • 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 BΛ Λ(ΛΛ11Be)=20.83 MeV seems to be more compatible with our calculated value of BΛΛ(ΛΛ11Be)=19.31 MeV in comparison with the calculated result of 18.23 MeV by Hiyama et al.
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  • [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
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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
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Received: 2012-06-12
Revised: 1900-01-01
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Structure of A=11 double-Λ hypernuclei studied withthree-body forces

    Corresponding author: H. Sadeghi,

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 BΛ Λ(ΛΛ11Be)=20.83 MeV seems to be more compatible with our calculated value of BΛΛ(ΛΛ11Be)=19.31 MeV in comparison with the calculated result of 18.23 MeV by Hiyama et al.

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