A new prediction for the binding energy of the 7ΛHe hypernucleus

doi:10.1088/0954-3899/31/5/009

A new prediction for the binding energy of the ⁷_ΛHe hypernucleus

I Filikhin et al 2005 J. Phys. G: Nucl. Part. Phys. 31 389-400 doi: 10.1088/0954-3899/31/5/009

PDF (194 KB) | References | Articles citing this article

I Filikhin^1,2, V M Suslov^1,2 and B Vlahovic^1,3
¹ Department of Physics, North Carolina Central University, Durham, NC 27707, USA
² Department of Mathematical and Computational Physics, Sankt-Petersburg State University, 198504, Petrodvorets, Russia
³ Jefferson Lab, 12000 Jefferson Avenue, Newport News, VA 23606, USA
E-mail: branko@jlab.org

Abstract. P-shell A = 7 hypernuclei are considered in the cluster ⁵_ΛHe + N + N model. The folding procedure using the OBE simulating (NSC97f) model for ΛN potential and various αΛ potentials are applied to construct the ⁵_ΛHe–N interaction. Configuration space Faddeev calculations are performed for the hyperon binding energy of the $^{7}_{\Lambda}\,{\rm He}\big(\frac12^+ \big)$ and $^{7}_{\Lambda}\,{\rm He}\big(\frac12^+\, {\rm and}\, \frac32^+,\, T = 0 \big)$ hypernuclei. The new predicted value for B_Λ(⁷_ΛHe) is 5.35 MeV. This value was obtained with the ⁶_ΛHe(2⁻) excitation energy equal to 0.26 MeV. Since the 2⁻ state of ⁶_ΛHe has not yet been observed, the ⁶_ΛHe(2⁻) excitation energy was chosen to reproduce the experimental value of the $^{7}_{\Lambda}\,{\rm Li}\big(\frac32^+ \big)$ excitation energy by the adjustment of the ⁵_ΛHe–N effective potential. Our results are compared with those of Hiyama et al (1996 Phys. Rev. C 53 2075; 1999 Phys. Rev. C 59 2351).

Print publication: Issue 5 (May 2005)
Received 11 November 2004
Published 24 March 2005

Post to CiteUlike |

Post to Connotea |

Post to Bibsonomy

A new prediction for the binding energy of the ⁷_ΛHe hypernucleus

Find related articles

Article options

Authors & Referees