Three-boson problem at low energy and implications for dilute Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 1, 2008, Pages

  Tan, Shina ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; BOSE-EINSTEIN CONDENSATION; BOSONS; DIFFERENCE EQUATIONS; FLOW INTERACTIONS; FORECASTING; FUNCTIONS; GROUND STATE; NUMERICAL ANALYSIS; NUMERICAL METHODS; SCATTERING; SPHERES; STEAM CONDENSERS;

ASYMPTOTIC EXPANSIONS; BOSE-EINSTEIN CONDENSATE; BOSE-EINSTEIN CONDENSATES; COLLISION ENERGIES; CONDENSATE FRACTIONS; DINGER EQUATION; EFFECTIVE RANGE; EFFECTIVE-FIELD THEORY; FINITE-RANGE; GROUND-STATE ENERGIES; HARD SPHERES; HYPERVOLUME; IN-VACUUM; INTER-PARTICLE DISTANCES; INTERACTION STRENGTHS; LOW ENERGIES; NUMBER DENSITIES; NUMERICAL SOLUTIONS; SCATTERING AMPLITUDES; THREE-BODY FORCE; TWO-BODY SCATTERING; ZERO ENERGY;

WAVE FUNCTIONS;

EID: 48349094854     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.013636     Document Type: Article

References (28)

1. N. N. Bogoliubov, J. Phys. (USSR) JOPYA6 0368-3400 11, 23 (1947).
2. T. D. Lee and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105.1119 105, 1119 (1957).
3. T. D. Lee, K. Huang, and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.106.1135 106, 1135 (1957).
4. K. A. Brueckner and K. Sawada, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.106.1117 106, 1117 (1957);
5. W. B. Riesenfeld and K. M. Watson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.108.518 108, 518 (1957).
6. T. T. Wu, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.115.1390 115, 1390 (1959).
7. K. Sawada, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.116.1344 116, 1344 (1959).
8. N. Hugenholtz and D. Pines, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.116.489 116, 489 (1959).
9. E. Braaten and A. Nieto, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050925 11, 143 (1999).
10. E. Braaten, H.-W. Hammer, and T. Mehen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.040401 88, 040401 (2002).
11. E. Braaten, H.-W. Hammer, and S. Hermans, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.063609 63, 063609 (2001).
12. S. Giorgini, J. Boronat, and J. Casulleras, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.5129 60, 5129 (1999).
13. The first term in this expansion was first found by P. Price, thesis, Cambridge University, Cambridge, 1951 (unpublished); the second and third terms were found by Huang and Yang for N particles, although numerical coefficients were inexact; the term L-6 ln L was discovered by Wu. O (L-6) corrections were recently computed independently by Beane, Detmold, and Savage for N particles.
14. K. Huang and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105. 767 105, 767 (1957).
15. F. Coester, S. Cohen, B. Day, and C. M. Vincent, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.1.769 1, 769 (1970).
16. R. Furnstahl and H.-W. Hammer, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(01)01504-0 531, 203 (2002).
17. S. R. Beane, W. Detmold, and M. J. Savage, e-print arXiv:0707.1670.
18. See, e.g., C. J. Joachain, Quantum Collision Theory (North-Holland, Amsterdam, 1975).
19. R. D. Amado and M. H. Rubin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.25.194 25, 194 (1970).
20. J. O. Andersen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76. 599 76, 599 (2004).
21. D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.090404 93, 090404 (2004).
22. J. von Stecher, C. H. Greene, and D. Blume, Publ. RIMS, Kyto Univ. (to be published).
23. S. Stringari, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10001-5 65, 749 (2004).
24. S. Tan and K. Levin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74. 043606 74, 043606 (2006).
25. C. N. Yang, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.34.694 34, 694 (1962).
26. A. Bulgac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 050402 89, 050402 (2002).
27. See, e.g., T. Volz, S. Dürr, S. Ernst, A. Marte, and G. Rempe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.010702 68, 010702 (R) (2003).
28. H. Takahasi and M. Mori, Publ. RIMS Kyoto Univ. KURAAV 0454-9244 9, 721 (1974).