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

Details Neutron-$^3$H potentials and the $^5$H-properties Neutron-$^3$H potentials and the $^5$H-properties

2007-02-05

arxiv.org/abs/nucl-th/0702018v1

Nucl.Phys.A786:71-89,2007

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1016/j.nuclphysa.2007.02.002

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.

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