3He- 3He and 4He- 4He cross sections in matter at low temperature

Journal of Low Temperature Physics

Volumn 161, Issue 3-4, 2010, Pages 348-366

  Joudeh, B R ^a   Sandouqa, A S ^b   Ghassib, H B ^c   Al Sugheir, M K ^d  

^a TAFILA TECHNICAL UNIVERSITY   (Jordan)

^b AL BALQA APPLIED UNIVERSITY   (Jordan)

^c UNIVERSITY OF JORDAN   (Jordan)

^d HASHEMITE UNIVERSITY   (Jordan)

Author keywords

Diffusion and viscosity cross sections; Effective range; Effective scattering length; Effective total; Liquid 3He; Liquid 4He; Ramsauer Townsend effect

Indexed keywords

CENTRIFUGAL BARRIERS; CROSS SECTION; EFFECTIVE RANGE; EFFECTIVE SCATTERING LENGTH; EFFECTIVE TOTAL; FERMI MOMENTA; HIGH ENERGY; LOW TEMPERATURES; MANY-BODY EFFECT; PARTIAL CROSS SECTION; PROMINENT FEATURES; QUASI-BOUND STATE; RAMSAUER-TOWNSEND EFFECT; S-WAVE SCATTERING; SCATTERING LENGTH; SELF ENERGY; TOTAL CROSS SECTION; VIRTUAL STATE; WAVE NUMBERS;

CENTRIFUGATION; DIFFUSION; ELECTROMAGNETIC WAVE SCATTERING; ELECTRON SCATTERING; RESONANCE; SHEAR WAVES; VISCOSITY;

LIQUIDS;

EID: 78049369467     PISSN: 00222291     EISSN: 15737357     Source Type: Journal    
DOI: 10.1007/s10909-010-0211-6     Document Type: Article

References (53)

1. C.J. Joachain, Quantum Collisions Theory, vol. 2 (Longman, New York, 1979)
2. 4He repulsive potential up to 0.14 eV inversion of high-resolution total-cross-section measurements Phys. Rev. Lett. 30 820 823 10.1103/PhysRevLett.30.820 1973PhRvL..30..820F
3. A.F. Borghesani 2001 Electron mobility maximum in dense argon gas at low temperature J. Electrost. 53 89 106 10.1016/S0304-3886(01)00133-4 (Pubitemid 32760675)
4. 4He scattering Chem. Phys. Lett. 18 323 324 10.1016/0009-2614(73)80179-4 1973CPL....18..323A
5. T.K. Lim S.Y. Larsen 1981 The Ramsauer-Townsend effect in molecular systems of electron-spin-polarized hydrogen and helium and their isotopes J. Chem. Phys. 74 4997 4999 10.1063/1.441751 1981JChPh..74.4997L
6. 3He Phys. Rev. A 14 1006 1008 10.1103/PhysRevA.14.1006 1976PhRvA..14.1006G
7. R.F. Bishop H.B. Ghassib M.R. Strayer 1977 Low-energy He-He interactions with phenomenological potentials J. Low Temp. Phys. 26 669 690 10.1007/BF00654874 1977JLTP...26..669B
8. S.N. Ali, M.Sc. Thesis, The University of Jordan, available upon request (1997)
9. 3He-HeII mixtures Int. J. Mod. Phys. B 18 2491 2504 10.1142/S0217979206034844 2006IJMPB..20.2491A (Pubitemid 44154673)
10. 3He-HeII Mixtures (2010, submitted for publication)
11. 3He-HeII mixtures Phys. Scr. 74 5 11 1117.81136 10.1088/0031-8949/74/1/002 2006PhyS...74....5S (Pubitemid 43958921)
12. B.R. Joudeh A.S. Sandouqa M.K. Al-Sugheir H.B. Ghassib 2009 T-matrix and effective scattering in spin-polarized atomic deuterium (↓D) Physica B 404 1847 1851 10.1016/j.physb.2009.03.002 2009PhyB..404.1847J
13. H.T. Abu-Hamdeh, M.Sc. Thesis, The University of Jordan, available upon request (1999)
14. R.A. Aziz V.P.S. Nain J. S Carley W.L. Taylor G.T. McConville 1979 An accurate interatomic potential for helium J. Chem. Phys. 70 4330 4341 10.1063/1.438007 1979JChPh..70.4330A
15. A.R. Janzen R.A. Aziz 1995 Modern He-He potentials: another look at binding energy,effective range theory, retardation, and Efimov states J. Chem. Phys. 103 9626 9830 10.1063/1.469978 1995JChPh.103.9626J
16. 4He. II. Fourier transform of the potential J. Low Temp. Phys. 9 495 498 10.1007/BF00655306 1972JLTP....9..495S
17. F. Luo C.F. Giese W.R. Gentry 1996 Direct measurement of the size of the helium dimer J. Chem. Phys. 104 1151 1154 10.1063/1.470771 1996JChPh.104.1151L
18. H.B. Ghassib 1984 On dimers and trimers in some helium fluids Phys. B, Condens. Matter 56 91 98 10.1007/BF01469689 1984ZPhyB..56...91G
19. R.E. Grisenti W. Scohöllkopf J.P. Toennies 2000 Determination of the bond length and length and binding energy and binding energy of the helium dimers by diffraction from a transmission grating Phys. Rev. Lett. 85 2284 2287 10.1103/PhysRevLett.85.2284 2000PhRvL..85.2284G
20. F.M. Pen'kov 2003 One-parametric dependences of the spectra, scattering lengths, and recombination coefficients for a system of three bosons J. Exp. Theor. Phys. 97 485 492 10.1134/1.1618335 2003JETP...97..485P (Pubitemid 37364940)
21. 2 molecules in superfluid helium Phys. Rev. Lett. 100 0253011-0253014 10.1103/PhysRevLett.100. 025301
22. X. Wu X. Hu Y. Dai C. Du S. Chu L. Hu J. Deng Y. Feng 2010 Quantum Monte Carlo calculated potential energy curve for the helium dimer J. Chem. Phys. 132 204304 5 10.1063/1.3432250 2010JChPh.132t4304W
23. M. Jeziorska B. Jeziorski K. Szalewicz 2007 Pair potential for helium from symmetry-adapted perturbation theory calculations and from supermolecular data J. Chem. Phys. 127 124303 13 10.1063/1.2770721 2007JChPh.127l4303J (Pubitemid 47502656)
24. P.A. Hilton R.A. Cowley R. Scherm W.G. Stirling 1980 Life time of zero sound in liquid helium J. Phys. C, Solid State Phys. 13 L295 L299 10.1088/0022-3719/13/12/003 1980JPhC...13L.295H
25. W.G. Stirling R. Scherm P.A. Hilton R.A. Cowley 1976 Neutron inelastic scattering from liquid helium three J. Phys. C, Solid State Phys. 9 1643 1663 10.1088/0022-3719/9/9/007 1976JPhC....9.1643S
26. 4He Phys. Rev. B 56 14620 14630 10.1103/PhysRevB.56.14620 1997PhRvB..5614620A
27. 4He from quantum evaporation Nature 391 56 59 10.1038/34134 1998Natur.391...56W (Pubitemid 28079211)
28. S. Moroni G. Senatore S. Fantoni 1997 Momentum distribution of liquid helium Phys. Rev. B 55 1040 1049 10.1103/PhysRevB.55.1040 1997PhRvB..55.1040M
29. B. Withers H.R. Glyde 2007 Quantum momentum distributions J. Low Temp. Phys. 147 633 643 10.1007/s10909-007-9344-7 2007JLTP..147..633W (Pubitemid 46767402)
30. J. Bossy J.V. Pearce H. Schober H.R. Glyde 2008 Excitations of nanoscale quantum liquids under pressure and the Bose glass phase Phys. Rev. B 78 224507 10.1103/PhysRevB.78.224507 2008PhRvB..78v4507B
31. 4He: giant S-wave scattering cross sections Phys. Rev. Lett. 71 1343 1346 10.1103/PhysRevLett.71.1343 1993PhRvL..71.1343M
32. 4He Physica B 194-196 885 886 10.1016/0921-4526(94)90772-2
33. J.C. Mester E. Meyer T. Huber M. Reynolds I. Silvera 1994 Low temperature scattering of helium and hydrogen Physica B 194-196 887 888 10.1016/0921-4526(94)90773-0
34. 4He scattering J. Low Temp. Phys. 89 569 572 10.1007/BF00694089 1992JLTP...89..569M
35. 3He J. Low Temp. Phys. 23 393 401 10.1007/BF00116928 1976JLTP...23..393G
36. H.T.C. Stoof M. Bijlsma M. Houbiers 1996 Theory of interacting quantum gases J. Res. Natl. Inst. Stand. Technol. 101 443 455
37. E. Merzbaucher, Quantum Mechanics, 3rd edn. (Wiley, New York, 1998)
38. S. Geltman, Topics in Atomic Collision Theory (Krieger, Florida, 1997)
39. 3He Phys. Rev. B 61 1421 1432 10.1103/PhysRevB.61.1421 2000PhRvB..61.1421G
40. T. Alm T.G. Röpke M. Schmidt 1994 Critical enhancement of the in-medium nucleon- nucleon cross-section at low temperatures Phys. Rev. C 50 31 37 10.1103/PhysRevC.50.31 1994PhRvC..50...31A
41. A. Bohm, Quantum Mechanics: Foundations and Applications, 1st edn. (Springer, New York, 1979). 3rd edn., second printing, 1994
42. 4He scattering Chem. Phys. Lett. 10 7 9 10.1016/0009-2614(71)80142-2 1971CPL....10....7M
43. A. Rovenchak 2003 Effective mass of atom and the excitation spectrum in liquid helium-4 at T=0 K J. Low Temp. Phys. 29 145 148
44. 4He Phys. Rev. Lett. 19 1001 1002 10.1103/PhysRevLett. 19.1001 1967PhRvL..19.1001A
45. 2He ground state potential from experiment by use of a reliable potential model J. Chem. Phys. 76 5 2360 2376 10.1063/1.443264 1982JChPh..76.2360F
46. M.J. Jamieson A. Dalgarno M. Kimura 1995 Scattering lengths and effective ranges for He-He and spin-polarized H-H and D-D scattering Phys. Rev. A 51 2626 2629 10.1103/PhysRevA.51.2626 1995PhRvA..51.2626J
47. G. Gutiérrez M. de Llano W.C. Stwalley 1984 Accurate direct determination of effective-range expansion parameters for several central potentials Phys. Rev. B 29 5211 5212 10.1103/PhysRevB.29.5211 1984PhRvB..29.5211G
48. M.J. Jamieson 1999 Adiabatically corrected scattering lengths and effective ranges for collisions of helium atoms Chem. Phys. Lett. 310 222 224 10.1016/S0009-2614(99)00807-6 1999CPL...310..222J
49. R. Landau, Quantum Mechanics II, 2nd edn. (Wiley, New York, 1996)
50. 4He trimers by two-body effective-range and scattering-length analysis: A comparison with Fadeev calculations Phys. Rev. A 31 3981 3982 10.1103/PhysRevA.31.3981 1985PhRvA..31.3981H
51. 4He n-mers and Bose-Einstein condensation in HeII J. Chem. Phys. 81 585 586 10.1063/1.447350 1984JChPh..81..585G
52. A.R. Janzen R.A. Aziz 1997 An accurate potential energy curve for helium based on ab initio calculations J. Chem. Phys. 107 914 919 10.1063/1.474444 1997JChPh.107..914J
53. 3He Chem. Phys. Lett. 490 172 175 10.1016/j.cplett.2010.03. 052 2010CPL...490..172S