We propose a microscopic approach to three-body continuum states in the hyperspherical formalism. The A-nucleon wave functions are defined in the generator coordinate method, based on a three-cluster approximation of the system. We develop a semianalytical treatment of the matrix elements, limited to s clusters. This allows a fast calculation, as well as a direct interpretation of the wave functions, in terms of nucleon exchanges. We apply the method to the α + n + n three-body phase shifts and confirm the existence of broad structures in the 0 + and 1 − partial waves at low energies.
Six proton-emitting states in 19Ne were studied through the inelastic scattering reaction H(19Ne,p);{19}Ne; (p)18F. Their energies and widths were derived from the protons detected at zero degree, while proton-proton angular correlations between the detector at zero degree and a segmented annular detector were used to determine their spin value. In addition to the known states, a new broad J=1/2 resonance has been evidenced at E_{x} approximately 7.9 MeV, approximately 1.45 MeV above the proton emission threshold. By introducing this resonance, the 18F(p,alpha)15O destruction rate in novae is significantly enhanced. This reduces the chance to observe the cosmic gamma-ray emission of 18F from novae in space telescopes.
We investigate continuum states of the α+n+n and α+p+p systems using a microscopic three-cluster model in the hyperspherical formalism. The A-nucleon wave functions are defined in the generator coordinate method (GCM). The R-matrix method is used to connect the wave functions to their exact asymptotic behaviors and to derive the collision matrix. We present the three-body phase shifts of the 0 + and 1 − continuum of the α + n + n and α + p + p systems.
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