This title appears in the Scientific Report :
2004
Please use the identifier:
http://hdl.handle.net/2128/1694 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevA.70.052101 in citations.
Four-Boson System with Short-Range Interactions
Four-Boson System with Short-Range Interactions
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 Yaku...
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Personal Name(s): | Platter, L. |
---|---|
Hammer, H.-W. / Meissner, U.G. | |
Contributing Institute: |
Institut 3 (Theoretische Kernphysik); IKP-TH |
Published in: | Physical Review A Physical review / A, 70 70 (2004 2004) 5 5, S. 052101 052101 |
Imprint: |
College Park, Md.
APS
2004
2004-11-05 2004-11-01 |
Physical Description: |
052101 |
DOI: |
10.1103/PhysRevA.70.052101 |
Document Type: |
Journal Article |
Research Program: |
Physik der Hadronen |
Series Title: |
Physical Review A
70 |
Subject (ZB): | |
Link: |
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Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevA.70.052101 in citations.
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 He-4 atoms and calculate the binding energy of the He-4 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 He-4 atoms, the correlation is approximately linear. |