Resonance states of three self-gravitating bosons and fermions below the N = 3 threshold of the two-body subsystem

Citation:
Kar, S, Ho YK.  2008.  Resonance states of three self-gravitating bosons and fermions below the N = 3 threshold of the two-body subsystem. Journal of Physics B: Atomic, Molecular and Optical Physics. 41:065302., Number 6

Abstract:

The resonance states of systems consisting of three identical bosons and three fermions interacting with an attractive 1/ r potential are investigated using highly correlated exponential basis functions. The method of complex-coordinate rotation is used to extract energies and widths for the resonances lying below the N = 3 excited state threshold of the respective two-body subsystem. We have obtained a total of 24 S-wave resonances for the three-boson system and a total of 19 S-wave resonances in total spin-3/2 (the 4 S state) and a total of 15 S-wave resonances in total spin-1/2 (the 2 S state) below the N = 3 threshold. For the resonances associated with the N = 3 threshold, we have obtained two, three and four series of Rydberg states for the three-boson system, three-fermion system for 2 S states and three-fermion system for 4 S states, respectively. The resonance energies and widths of these states for the three-body self-gravitating bosons and fermions are reported.

Notes:

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