Method for computing coupled-channels Gamow-state energies

He, Guangliang; Fink, P.J.; Landau, Rubin H.

doi:10.1103/physrevc.40.1525

Phys. Rev. C

1989

DOI: 10.1103/physrevc.40.1525

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Method for computing coupled-channels Gamow-state energies

Guangliang He

P.J. Fink

Rubin H. Landau

Abstract: The bound states and resonances of a two-particle system occur at the complex energies for which the system's T matrix has poles. Presented is a more e%cient method of computing these energies for symmetric potential interactions.

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“…Gamow [5] or Siegert [6] states were calculated using the Green's function approach in momentum space in Refs. [7,8] for coupled channel problems. Gamow states for realistic deformed potentials were calculated first in Ref.…”

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confidence: 99%

Coupled-channel continuum eigenchannel basis

Betán

2014

Physics Letters B

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The goal of this paper is to calculate bound, resonant and scattering states in the coupled-channel formalism without relying on the boundary conditions at large distances. The coupled-channel solution is expanded in eigenchannel bases i.e. in eigenfunctions of diagonal Hamiltonians. Each eigenchannel basis may include discrete and discretized continuum (real or complex energy) single particle states. The coupled-channel solutions are computed through diagonalization in these bases. The method is applied to a few two-channels problems. The exact bound spectrum of the Poeschl-Teller potential is well described by using a basis of real energy continuum states. For deuteron described by Reid potential, the experimental energy and the S and D contents of the wave function are reproduced in the asymptotic limit of the cutoff energy. For the Noro-Taylor potential resonant state energy is well reproduced by using the complex energy Berggren basis. It is found that the expansion of the coupled-channel wave function in these eigenchannel bases require less computational efforts than the use of any other basis. The solutions are stable and converge as the cutoff energy increases.

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Coupled-channel continuum eigenchannel basis

Betán

2014

Physics Letters B

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Bound states, resonances, and poles in low-energyK¯Ninteraction models

Fink

Landau

et al. 1990

Phys. Rev. C

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Method for computing coupled-channels Gamow-state energies

Abstract: The bound states and resonances of a two-particle system occur at the complex energies for which the system's T matrix has poles. Presented is a more e%cient method of computing these energies for symmetric potential interactions.

Cited by 2 publications

References 8 publications

Coupled-channel continuum eigenchannel basis

Coupled-channel continuum eigenchannel basis

Bound states, resonances, and poles in low-energyK¯Ninteraction models

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