Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances

Asymptotic normalization coefficients, spectroscopic factors, and direct radiative capture rates

We compare the use of asymptotic normalization coefficients ~ANC’s! and spectroscopic factors determined from peripheral transfer reactions for determining the overall normalization of peripheral direct radiative capture reaction processes. We demonstrate that ANC’s provide a natural way to parametrize the rates of both peripheral transfer and direct capture reactions. Furthermore, ANC’s inferr...

Asymptotic normalization coefficients for 14 N ^ 13 C ¿ p from

The C( He,d) N proton transfer reaction has been measured at an incident energy of 26.3 MeV. Angular distributions for proton transfer to the ground state and excited states at 2.313 and 3.948 MeV in N are analyzed within the framework of the modified DWBA. Asymptotic normalization coefficients ~ANC’s! defining the amplitude of the tails of the N bound-state wave functions in the C1p channel ar...

Orbiting Resonances and Bound States in Molecular Scattering

A family of orbiting resonances in molecular scattering is globally described by using a single pole moving in the complex angular momentum plane. The extrapolation of this pole at negative energies gives the location of the bound states. Then a single pole trajectory, that connects a rotational band of bound states and orbiting resonances, is obtained. These complex angular momentum singularit...

Calculation of bound states and resonances in perturbed Coulomb models

We calculate accurate bound states and resonances of two interesting perturbed Coulomb models by means of the Riccati-Padé method. This approach is based on a rational approximation to a modified logarithmic derivative of the eigenfunction and produces sequences of roots of Hankel determinants that converge towards the eigenvalues of the equation.

Scattering resonances and bound states for strongly interacting Rydberg polaritons