Numerical calculation of the decay widths, the decay constants, and the decay energy spectra of the resonances of the delta-shell potential

@article{Madrid2017NumericalCO,
  title={Numerical calculation of the decay widths, the decay constants, and the decay energy spectra of the resonances of the delta-shell potential},
  author={Rafael de la Madrid},
  journal={Nuclear Physics},
  year={2017},
  volume={962},
  pages={24-45}
}
  • R. Madrid
  • Published 31 March 2017
  • Physics
  • Nuclear Physics
14 Citations

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References

SHOWING 1-10 OF 145 REFERENCES

Relativistic resonances: Their masses, widths, lifetimes, superposition, and causal evolution

Whether one starts from the analytic S-matrix definition or the requirement of gauge-parameter independence in renormalization theory, a relativistic resonance is given by a pole at a complex value

Evaluation of partial widths and branching ratios from resonance wave functions

A quantum system in a given resonance state has different open channels for decay. Partial widths are the decay rates of the resonance (metastable) state into the different open channels. Here we

Extracting the resonance parameters from experimental data on scattering of charged particles

A new parametrization of the multi-channel S-matrix is used to fit scattering data and then to locate the resonances as its poles. The S-matrix is written in terms of the corresponding “in” and “out”

Time evolution of decay of two identical quantum particles

An analytical solution for the time evolution of decay of two identical noninteracting quantum particles seated initially within a potential of finite range is derived using the formalism of resonant

Time evolution of decay for purely absorptive potentials: The effect of spectral singularities

We consider an analytical approach that involves the complex poles of the propagator to investigate the effect due to the lack of time reversal invariance on the time evolution of decay for purely

On the relation between unimolecular reaction rates and overlapping resonances

Unimolecular decay processes are studied in the regime of overlapping resonances with the goal of elucidating how unimolecular reaction rates depend on resonances widths (the imaginary part of the

Resonant Spectrum Analysis of the Conductance of an Open Quantum System and Three Types of Fano Parameter

We explain the Fano peak (an asymmetric resonance peak) as an interference effect involving resonant states. We reveal that there are three types of Fano asymmetry according to their origins: the
...