Scheme for an accurate solution of Faddeev integral equations in configuration space
Faddeev equations in configuration space for three-atom scattering processes are formulated in integral form allowing for additive and nonadditive forces. The object of the equations are T–functions, that are the product of wave functions times potentials, that decay to zero in all directions. The d...
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| Published in: | Nuclear physics. A Vol. 790; no. 1; pp. 282c - 285c |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
15-06-2007
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| Abstract | Faddeev equations in configuration space for three-atom scattering processes are formulated in integral form allowing for additive and nonadditive forces. The object of the equations are
T–functions, that are the product of wave functions times potentials, that decay to zero in all directions. The driving and coupling terms are based on the two-body
t–matrices, which describe the two-body correlations in each arrangement. However, three-atom forces are also included in the formalism. The solution is based on an accurate numerical spectral expansion method, and steps for a practical implementation are described for a simplified “toy” model, although numerical results are not yet available. This formulation appears to be a valuable alternative to current approaches. |
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| AbstractList | Faddeev equations in configuration space for three-atom scattering processes are formulated in integral form allowing for additive and nonadditive forces. The object of the equations are
T–functions, that are the product of wave functions times potentials, that decay to zero in all directions. The driving and coupling terms are based on the two-body
t–matrices, which describe the two-body correlations in each arrangement. However, three-atom forces are also included in the formalism. The solution is based on an accurate numerical spectral expansion method, and steps for a practical implementation are described for a simplified “toy” model, although numerical results are not yet available. This formulation appears to be a valuable alternative to current approaches. |
| Author | Rawitscher, G. Glöckle, W. |
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| Cites_doi | 10.1016/0003-4916(80)90344-9 10.1103/PhysRevA.65.032725 10.1088/0143-0807/27/5/017 10.1016/0370-1573(95)00085-2 |
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| References | Glöckle (bib007) 1983 Gloeckle, Rawitscher (bib004) Rawitscher, Koltracht (bib005) 2005; 7 paper in preparation Papp, Darai, Hu, Hlousek, Kónya, Yakovlev (bib002) 2002; 65 Merkuriev, Faddeev, Merkuriev (bib001) 1980; 130 Rawitscher, Koltracht (bib006) 2006; 27 G. Rawitscher and I. Koltracht Hüber, Kamada, Witala, Glöckle, Glöckle, Witala, Hüber, Kamada, Golak (bib003) 1997; 28 Glöckle (10.1016/j.nuclphysa.2007.03.045_bib007) 1983 Rawitscher (10.1016/j.nuclphysa.2007.03.045_bib005) 2005; 7 Glöckle (10.1016/j.nuclphysa.2007.03.045_bib003_2) 1996; 274 Faddeev (10.1016/j.nuclphysa.2007.03.045_bib001_2) 1993 Merkuriev (10.1016/j.nuclphysa.2007.03.045_bib001_1) 1980; 130 10.1016/j.nuclphysa.2007.03.045_bib008 Rawitscher (10.1016/j.nuclphysa.2007.03.045_bib006) 2006; 27 Papp (10.1016/j.nuclphysa.2007.03.045_bib002) 2002; 65 Gloeckle (10.1016/j.nuclphysa.2007.03.045_bib004) Hüber (10.1016/j.nuclphysa.2007.03.045_bib003_1) 1997; 28 |
| References_xml | – ident: bib004 article-title: Three-atom scattering via the Faddeev scheme in configuration space contributor: fullname: Rawitscher – volume: 7 start-page: 58 year: 2005 ident: bib005 publication-title: Computing in Science and Eng. contributor: fullname: Koltracht – volume: 130 start-page: 395 year: 1980 ident: bib001 article-title: Quantum Scattering Theory for Several Particle Systems publication-title: Ann. Phys. (N.Y.) contributor: fullname: Merkuriev – volume: 28 start-page: 1677 year: 1997 ident: bib003 publication-title: Acta Phys. Pol. contributor: fullname: Golak – volume: 27 start-page: 1179 year: 2006 ident: bib006 publication-title: Eur. J. Phys. contributor: fullname: Koltracht – volume: 65 start-page: 032725 year: 2002 ident: bib002 publication-title: Phys. Rev. A contributor: fullname: Yakovlev – year: 1983 ident: bib007 article-title: The Quantum Mechanical Few-Body Problem contributor: fullname: Glöckle – volume: 130 start-page: 395 year: 1980 ident: 10.1016/j.nuclphysa.2007.03.045_bib001_1 publication-title: Ann. Phys. (N.Y.) doi: 10.1016/0003-4916(80)90344-9 contributor: fullname: Merkuriev – ident: 10.1016/j.nuclphysa.2007.03.045_bib004 contributor: fullname: Gloeckle – year: 1993 ident: 10.1016/j.nuclphysa.2007.03.045_bib001_2 contributor: fullname: Faddeev – year: 1983 ident: 10.1016/j.nuclphysa.2007.03.045_bib007 contributor: fullname: Glöckle – volume: 28 start-page: 1677 year: 1997 ident: 10.1016/j.nuclphysa.2007.03.045_bib003_1 publication-title: Acta Phys. Pol. contributor: fullname: Hüber – volume: 7 start-page: 58 year: 2005 ident: 10.1016/j.nuclphysa.2007.03.045_bib005 publication-title: Computing in Science and Eng. contributor: fullname: Rawitscher – volume: 65 start-page: 032725 year: 2002 ident: 10.1016/j.nuclphysa.2007.03.045_bib002 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.65.032725 contributor: fullname: Papp – volume: 27 start-page: 1179 year: 2006 ident: 10.1016/j.nuclphysa.2007.03.045_bib006 publication-title: Eur. J. Phys. doi: 10.1088/0143-0807/27/5/017 contributor: fullname: Rawitscher – volume: 274 start-page: 107 year: 1996 ident: 10.1016/j.nuclphysa.2007.03.045_bib003_2 publication-title: Phys. Rep. doi: 10.1016/0370-1573(95)00085-2 contributor: fullname: Glöckle – ident: 10.1016/j.nuclphysa.2007.03.045_bib008 |
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| Title | Scheme for an accurate solution of Faddeev integral equations in configuration space |
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