Resonances and collisional properties of neutron-rich helium isotopes in the adiabatic hyperspherical representation

Abstract

This work treats few-body systems consisting of neutrons interacting with a ${}^4\mathrm{He}$ nucleus. The adiabatic hyperspherical representation is utilized to solve the $N$-body Schr$\ddot{\mathrm{o}}$dinger equation for the three- and four-body systems, treating both ${}^6\mathrm{He}$ and ${}^7\mathrm{He}$ nuclei. A simplified central potential model for the ${}^4\mathrm{He}-n$ interaction is used in conjunction with a spin-dependent three-body interaction to reproduce ${}^6\mathrm{He}$ bound-state and resonance properties as well as properties for the ${}^8\mathrm{He}$ nucleus in its ground-state. With this Hamiltonian, the adiabatic hyperspherical representation is used to compute bound and scattering states for both ${}^6\mathrm{He}$ and ${}^7\mathrm{He}$ nuclei. For the ${}^6\mathrm{He}$ system, the electric quadrupole transition between the $0^{+}$ and $2^{+}$ state is investigated. For the ${}^7\mathrm{He}$ system, ${}^6\mathrm{He}+n$ elastic scattering is investigated along with the four-body recombination process ${}^4\mathrm{He}+n+n+n\to$${}^6\mathrm{He}+n$ and breakup process ${}^6\mathrm{He}+n\to$${}^4\mathrm{He}+n+n+n$.

13 pages, 9 figures

References in corpus (12)

• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Global-Vector Representation of the Angular Motion of Few-Particle Systems II
• The quest for light multineutron systems
• ${}^4\mathrm{He}$+$n$+$n$ continuum within an ab initio framework
• Non-resonant Density of States Enhancement at Low Energies for Three or Four Neutrons
• Effective Interaction Techniques for the Gamow Shell Model
• Low energy structures in nuclear reactions with 4n in the final state
• Pairing in the continuum: the quadrupole response of the Borromean nucleus 6He
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$
• Neutron-neutron scattering length from the ${}^6$He$(p,p\alpha )nn$ reaction
• Resonant states in ${}^7$H. I. Experimental studies of the ${}^2$H(${}^8$He,${}^3$He) reaction