Universal angular probability distribution of three particles near zero-energy threshold

  title={Universal angular probability distribution of three particles near zero-energy threshold},
  author={Dmitry K. Gridnev},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • D. Gridnev
  • Published 2 December 2011
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
We study bound states of a three-particle system in R3?> described by the Hamiltonian H(λn) = H0 + v12 + λn(v13 + v23), where the particle pair {1, 2} has a zero-energy resonance and no bound states, while other particle pairs have neither bound states nor zero-energy resonances. It is assumed that for a converging sequence of coupling constants λn → λcr the Hamiltonian H(λn) has a sequence of levels with negative energies En and wavefunctions ψn, where the sequence ψn totally spreads in the… 

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