Dimer-atom scattering between two identical fermions and a third particle

@article{Iskin2010DimeratomSB,
  title={Dimer-atom scattering between two identical fermions and a third particle},
  author={M. Iskin},
  journal={Physical Review A},
  year={2010},
  volume={81},
  pages={043634}
}
  • M. Iskin
  • Published 27 February 2010
  • Physics
  • Physical Review A
We use the diagrammatic T-matrix approach to analyze the three-body scattering problem between two identical fermions and a third particle (which could be a different species of fermion or a boson). We calculate the s-wave dimer-atom scattering length for all mass ratios, and our results exactly match the results of Petrov. In particular, we list the exact dimer-atom scattering lengths for all available two-species Fermi-Fermi and Bose-Fermi mixtures. In addition, unlike that of the equal-mass… Expand

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References

SHOWING 1-10 OF 27 REFERENCES
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
Quantum mechanics
Quantum Mechanics for Organic Chemists.By Howard E. Zimmerman. Pp. x + 215. (Academic: New York and London, May 1975.) $16.50; £7.90.
Phys
  • Rev. A67, 010703(R)
  • 2003
B 38
  • S645
  • 2005
Yad
  • Fiz.12, 1080 (1970); Sov. J. Nucl. Phys. 12, 589 (1971); Nucl. Phys. A210, 157
  • 1973
and D
  • S. Petrov, e-print arXiv:1001.4371
  • 2010
Phys
  • Rev. Lett. 103, 223203
  • 2009
Phys
  • Rev. Lett. 102, 020405
  • 2009
Phys
  • Rev. Lett. 104, 053202 (2010); J. Levinsen, T. G. Tiecke, J. T. M. Walraven, and D. S. Petrov, ibid. 103, 153202
  • 2009
C
  • E. W ieman, J. Ye, and D. S. Jin, Phys. Rev. Lett. 100, 143201
  • 2008
...
1
2
3
...