Abstract
The ground-state energy of the double-Λ hypernucleus 11ΛΛ Be is calculated within the frame-work of the five-body model ααnΛΛ. The five-body nucleus is described using the Faddeev formalism for the unequal mass clusters involved and the potential harmonics expansion of the corresponding amplitudes. The resulting coupled differential equations depend only on the inter-cluster interactions, ΛΛ, Λn, Λα, nα, and αα, which are fairly well known from previous investigations of hypernuclei. The results obtained are in excellent agreement with the recent KEK-E373 experiment as well as with the theoretical results obtained within the Gaussian expansionmethod by Hiyama et al. The ΛΛnn double hypernucleus is also discussed.
Similar content being viewed by others
References
E. Hiyama, Y. Kino, and M. Kamimura, Prog. Part. Nucl. Phys. 51, 223 (2003).
E. Hiyama, M. Kamimura, Y. Yamamoto, and T. Motoba, Phys. Rev. Lett. 104, 212502 (2010).
M. Fabre de la Ripelle, Ann. Phys. (N.Y.) 147, 281 (1983).
M. Fabre de la Ripelle, H. Fiedeldey, and S. A. Sofianos, Phys. Rev. C 38, 449 (1988).
R. M. Adam, S. A. Sofianos, H. Fiedeldey, and M. Fabre de la Ripelle, J. Phys. G 18, 1365 (1992).
R. M. Adam and H. Fiedeldey, J. Phys. G 19, 703 (1993).
M. Fabre de la Ripelle, Lect. Notes Phys. 273, 302 (1987).
S. A. Sofianos, R. M. Adam, and V. B. Belyaev, Phys. Rev. C 84, 064304 (2011).
J. K. Ahn et al., Phys. Rev. Lett. 87, 132504 (2001).
E. Hiyama, M. Kamimura, T. Motoba, et al., Phys. Rev. C 66, 024007 (2002).
I. N. Filikin and A. Gal, Nucl. Phys. A 707, 491 (2002).
Author information
Authors and Affiliations
Corresponding author
Additional information
The first four authors cordially dedicate this paper to their friend, colleague, and collaborator Vladimir B. Belyaev on the occasion of his 80th birthday
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Lekala, M.L., Rampho, G.J., Adam, R.M. et al. The double-Λ hypernucleus 11ΛΛ Be. Phys. Atom. Nuclei 77, 472–478 (2014). https://doi.org/10.1134/S1063778814040048
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778814040048