Neutron-${}^3$H potentials and the ${}^5$H-properties

Abstract

The continuum resonance spectrum of ${}^5$H (${}^3$H+$n$+$n$) is investigated by use of the complex scaled hyperspherical adiabatic expansion method. The crucial ${}^3$H-neutron potential is obtained by switching off the Coulomb part from successful fits to ${}^3$He-proton experimental data. These two-body potentials must be expressed exclusively by operators conserving the nucleon-core mean field angular momentum quantum numbers. The energies $E_R$ and widths ${\Gamma }_R$ of the $1/2^{+}$ ground-state resonance and the lowest two excited $5/2^{+}$ and $3/2^{+}$-resonances are found to be $(1.6,1.5)$ MeV, $(2.8,2.5)$ MeV and $(3.2,3.9)$ MeV, respectively. These results agree with most of the experimental data. The energy distributions of the fragments after decay of the resonances are predicted.

26 pages, 8 tables, 7 figures. Accepted for publication in Nucl. Phys. A

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Cited by in corpus (9)

• Comparing and contrasting nuclei and cold atomic gases
• Direct and sequential radiative three-body reaction rates at low temperatures
• Four-body structure of neutron-rich hypernucleus ${}_{\Lambda }^6$H
• Ab initio calculations of 5H resonant states
• Three-body structure of low-lying 18Ne states
• How the Pauli principle governs the decay of three-cluster systems
• ${}^7$H ground state as a ${}^3$H+4n resonance
• Three-body structures of low-lying nuclear states of ${}^8$Li
• Deuteron-${}^3\mathrm{He}$ scattering using nucleon-${}^3\mathrm{He}$ optical potentials fitted to four-body amplitudes