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Journal articles

Critical domain of coupling constants of short-range potentials

Abstract : In this paper, we consider three-dimensional short-range potentials of several components, i.e, depending on several coupling constants. For N components, the critical domain is defined as the (N - 1)-dimensional surface separating the regions with and without a bound state in the space of the coupling constants. It is shown that the problem of finding the critical domain can be solved by generalizing the methods established for the determination of the critical coupling constant in the case of a single-component potential. Applications are made for the truncated harmonic oscillator and the square-well potentials with a spin-orbit interaction of the Thomas form.
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Contributor : Suzanne Robert Connect in order to contact the contributor
Submitted on : Monday, March 19, 2001 - 4:05:21 PM
Last modification on : Wednesday, September 16, 2020 - 4:06:48 PM


  • HAL Id : in2p3-00019223, version 1



J. Stanojevic, M. Bozic, R.J. Lombard. Critical domain of coupling constants of short-range potentials. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2001, 34, pp.903-917. ⟨in2p3-00019223⟩



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