Four-boson system with short-range interactions
By L. Platter, H. Hammer, U. Meissner. 2004
163 citations recorded by the source corpus.
We consider the nonrelativistic four-boson system with short-range forces and large scattering length in an effective quantum mechanics approach. We construct the effective interaction potential at leading order in the large scattering length and compute the four-body binding energies using the Yakubovsky equations. Cutoff independence of the four-body binding energies does not require the introduction of a four-body force. This suggests that two- and three-body interactions are sufficient to renormalize the four-body system. We apply the equations to {sup 4}He atoms and calculate the binding energy of the {sup 4}He tetramer. We observe a correlation between the trimer and tetramer binding energies similar to the Tjon line in nuclear physics. Over the range of binding energies relevant to {sup 4}He atoms, the correlation is approximately linear.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/67867560ede89617dcfffa49bdbde5ee745bc0dc
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
Citations in the corpus
- Nuclear effective field theory: Status and perspectives (2019, methodology): “The application of Pionless EFT to the four-nucleon system was initiated by Platter et al. (2005), extending their previous work on the four-boson system with large two-body scattering length (Platter et al., 2004).”
- Universality in few‐body systems with large scattering length (2004, background): “Platter, Hammer, and Meißner have recently studied the universal properties of the four-boson system with short-range interactions in an effective quantum mechanics approach (196).”