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The Four-Boson System with Short-Range Interactions
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We consider the non-relativistic 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 4He atoms and calculate the binding energy of the 4He 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 4He atoms, the correlation is approximately linear.
Forward citations
Cited by 2 Pith papers
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Three- and four-boson systems expanded around the unitarity limit: Application to $^4$He
EFT study of ^4He trimers and tetramers around unitarity limit yields binding energies and radii that converge to phenomenological potential results after including finite-range and four-body corrections.
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Short-distance production of three particles with large scattering length
Short-distance production of three neutrons in pionless EFT is dominated by the P-wave and shows no resonance-like structure; three bosons show Efimov-resonance peaks, and effective-range corrections are small.
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