Brueckner Rearrangement Effects in ${}_{\Lambda }^5$He and ${}_{\Lambda \Lambda }^6$He

Abstract

Rearrangement effects in light hypernuclei are investigated in the framework of the Brueckner theory. We can estimate without detailed numerical calculations that the energy of the $\alpha$-core is reduced by more than 2.5 MeV when the $\Lambda$ adheres to ${}^4$He to form ${}_{\Lambda }^5$He. Similar assessment of rearrangement contributions is essential to deduce the strength of $\Lambda \Lambda$ interaction from experimentally observed $\Delta B_{\Lambda \Lambda }$. The recently observed experimental value of $\sim$ 1 MeV for the $\Delta B_{\Lambda \Lambda }$ of \hll suggests that the matrix element of $<\Lambda \Lambda |v|\Lambda \Lambda >$ in \hll is around -2 MeV.

7 pages, to appear in Phys. Rev. C

References in corpus (5)

• Soft-core hyperon-nucleon potentials
• Ab initio approach to s-shell hypernuclei 3H_Lambda, 4H_Lambda, 4He_Lambda and 5He_Lambda with a Lambda N-Sigma N interaction
• Interactions between Octet Baryons in the SU_6 Quark model
• A Realistic Description of Nucleon-Nucleon and Hyperon-Nucleon Interactions in the SU_6 Quark Model
• On the binding energy of double Λhypernuclei in the relativistic mean field theory

Cited by in corpus (7)

• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Faddeev calculation of 3 alpha and alpha alpha Lambda systems using alpha alpha resonating-group method kernel
• Faddeev calculation of 6 He Lambda Lambda using SU_6 quark-model baryon-baryon interactions
• $\Lambda \Lambda$-$\Xi N$-$\Sigma \Sigma$ coupling in ${}_{\Lambda \Lambda }^6$He with the Nijmegen soft-core potentials
• Lambda alpha, Sigma alpha and Xi alpha potentials derived from the SU6 quark-model baryon-baryon interaction
• Application of the inverse Hamiltonian method to Hartree-Fock-Bogoliubov calculations