Three-body resonant states of ${}_{\Lambda }^9$Be with $\alpha +\alpha +\Lambda$ cluster model

Abstract

We study the structure of ${}_{\Lambda }^9$Be in the framework of three body $\alpha +\alpha +\Lambda$ cluster model using YNG-NF interaction with the Gaussian expansion method. Employing the complex scaling method, we obtain the energies of bound states as well as energies and decay widths of the resonant states. By analyzing our wave functions of bound states and resonant states, we confirm three analogue states of ${}_{\Lambda }^9$Be pointed out by Band$\bar{\mathrm{o}}$ and Motoba {\it et al.} \cite{motoba1983,motoba1985,bando1983}, ${}^8$Be analogue states, ${}_{\Lambda }^9$Be genuine states and ${}^9$Be analogue states. The new states of ${}_{\Lambda }^9$Be are also obtained at a high energy region with broader decay widths.

References in corpus (9)

• Strangeness in nuclear physics
• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• On the possibility of generating a 4-neutron resonance with a {\boldmath $T=3/2$} isospin 3-neutron force
• Observation of the Helium 7 Lambda hypernucleus by the (e,e'K+) reaction
• Superdeformed $\Lambda$ hypernuclei from relativistic mean field models
• Structure of A=7 iso-triplet $\Lambda$ hypernuclei studied with he four-body model
• Resonant states of neutron-rich $\Lambda$ hypernucleus ${}_{\Lambda }^7$He
• Multi-cluster dynamics in ${}_{\Lambda }^{13}\mathrm{C}$ and analogy to clustering in ${}^{12}\mathrm{C}$
• Superdeformed $\Lambda$ hypernuclei with antisymmetrized molecular dynamics

Cited by in corpus (4)

• Bound states of ${}_{\varphi }^9$Be and ${}_{\varphi \varphi }^6$He nuclei with $\varphi$+$\alpha$+$\alpha$ and $\varphi$+$\varphi$+$\alpha$ cluster models
• Mass Ratio Dependence of Three-Body Resonance Lifetimes in 1D and 3D
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• Cluster structures of the $0^{+}$ states of ${}_{\Lambda }^{13}\mathrm{C}$ with the 3$\alpha +\Lambda$ four-body orthogonality condition model