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Gibson, B. F.; Afnan, I. R.
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States). Funding organisation: USDOE National Nuclear Security Administration (NNSA) (United States)2016
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States). Funding organisation: USDOE National Nuclear Security Administration (NNSA) (United States)2016
AbstractAbstract
[en] We address the question of whether there might exist a resonance in the nnΛ system, using a rank one separable potential formulation of the Hamiltonian. We explore the eigenvalues of the kernel of the Faddeev equation in the complex energy plane using contour rotation to allow us to analytically continue the kernel onto the second energy sheet. We follow the largest eigenvalue as the nΛ potentials are scaled and the nnΛ continuum is turned into a resonance and then into a bound state of the system.
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21. International Conference on Few-Body Problems in Physics; Chicago, IL (United States); 18-22 May 2015; LA-UR--15-24794; OSTIID--1459844; AC52-06NA25396; Available from https://www.osti.gov/servlets/purl/1459844; DOE Accepted Manuscript full text, or the publishers Best Available Version will be available free of charge after the embargo period; Country of input: United States
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Journal Article
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Conference
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EPJ. Web of Conferences; ISSN 2100-014X;
; v. 113; vp

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Karmanov, V. A., E-mail: karmanov@sci.lebedev.ru2018
AbstractAbstract
[en] A brief review of the results obtained in the description of nuclear reactions in systems containing up to four nucleons in the approach based on the Faddeev equations is given. The methods for consideration of relativistic effects and their influence on observables are discussed.
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Available from http://link.springer.com/openurl/fulltext?id=doi:10.1134/S1063779618040329; Copyright (c) 2018 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Physics of Particles and Nuclei; ISSN 1063-7796;
; v. 49(4); p. 547-551

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AbstractAbstract
No abstract available
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Journal Article
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Physical Review. A; v. 5(4); p. 1718-1725
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AbstractAbstract
[en] The authors propose an algebraic method to determine anomalous commutators, which constitute Faddeev's anomaly, for general dimensions. This method is verified explicitly in 1 + 5 dimensions
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Journal Article
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Modern Physics Letters B; CODEN MPLBE; v. 3(9); p. 901-908
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AbstractAbstract
[en] This paper clarifies recent works on generalized Chern-Simons secondary characteristic classes, relevant cohomologies of gauge groups including Cech-de rham complex and their applications to cohomological analyses on the structure of anomalies. The author shows that the cohomology of several gauge groups is in fact a particular case of this approach
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Bardeen, W.A. (Fermi National Accelerator Lab., Batavia, IL (USA)); White, A.R. (Argonne National Lab., IL (USA)); 558 p; ISBN 9971-978-69-5;
; 1985; p. 205-212; World Scientific Pub. Co; Teaneck, NJ (USA); Symposium on anomalies, geometry and topology; Argonne, IL (USA); 28-30 Mar 1985; CONF-8503141--; World Scientific Pub. Co., 687 Hartwell Street, Teaneck, NJ 07666 (USA)

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Book
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Conference
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AbstractAbstract
[en] We study the scattering theory associated with the one dimensional time dependent quantum Hamiltonian. This system has nontrivial scattering between channels if λ1 and λ2 are both positive. We calculate the Faddeev series for the wave operators of this system explicitly. From this calculation we directly prove asymptotic completeness and study the entire S-matrix. The Faddeev series for the charge transfer matrix elements of the S-matrix exhibit rather surprizing behavior for large values of v1 - v2
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Journal Article
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Annales de l'Institut Henri Poincare Physique Theorique; ISSN 0246-0211;
; CODEN AIPTE; v. 51(1); p. 1-22

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Grinyuk, B.E.
Summaries of reports of 30. conference on nuclear spectroscopy and nuclear structure1980
Summaries of reports of 30. conference on nuclear spectroscopy and nuclear structure1980
AbstractAbstract
No abstract available
Original Title
O novykh variantakh mnogochastichnykh uravnenij Faddeeva
Primary Subject
Source
AN SSSR, Moscow; Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Moscow; p. 466; 1980; p. 466; 30. Conference on nuclear spectroscopy and nuclear structure; Leningrad, USSR; 18 - 21 Mar 1980; Short note.
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Miscellaneous
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AbstractAbstract
[en] From the angle of the calculation of constraints, we compare the Faddeev-Jackiw method with Dirac-Bergmann algorithm, study the relations between the Faddeev-Jackiw constraints and Dirac constraints, and demonstrate that Faddeev-Jackiw method is not always equivalent to Dirac method. For some systems, under the assumption of no variables being eliminated in any step in Faddeev-Jackiw formalism, except for the Dirac primary constraints, we are possible to get some Dirac secondary constraints which do not appear in the corresponding Faddeev-Jackiw formalism, which will result in the contradiction between Faddeev-Jackiw quantization and Dirac quantization. At last, accordingly, we propose a modified Faddeev-Jackiw method which keeps the equivalence between Dirac-Bergmann algorithm and Faddeev-Jackiw method. However, one point must be stressed that the Faddeev-Jackiw method and quantization in this paper is these mentioned in [J. Barcelos-Neto, C. Wotzasek, Mod. Phys. Lett. A 7 (1992) 1737], not the initial Faddeev-Jackiw method mentioned in [L. Faddeev, R. Jackiw, Phys. Rev. Lett. 60 (1988) 1692], which is completely on basis of Darboux transformation, and must have the elimination of variables in every step of that, so it is reasonable that the constraints in this Faddeev-Jackiw method is fewer than the Dirac secondary constraints. Thus, we overcome the difficulty of the Non-equivalence of the Faddeev-Jackiw method and Dirac-Bergmann algorithm, and make the equivalence of the Faddeev-Jackiw method and Dirac-Bergmann algorithm restored
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S0003-4916(06)00261-2; Available from http://dx.doi.org/10.1016/j.aop.2006.11.013; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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AbstractAbstract
[en] The asymptotics of an infinite system of radial Faddeev equations corresponding to 2→3 breakup processes in investigated. It is shown that the solutions of the infinite system and of the system which is obtained by angular momentum cutoff have different asymptotics. Unlike the finite system, the asymptotics of the infinite system depends on characteristics of particles (on masses and charges) and also on the geometry of the process
Original Title
Koordinatnaya asimptotika radial'nykh komponent Faddeeva dlya rasseyaniya v sisteme zaryazhennykh chastits
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Mourre, Eric.
Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique1975
Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique1975
AbstractAbstract
[en] The methods presently proposed for the three body problem in quantum mechanics, using the Faddeev approach for proving the asymptotic completeness, come up against the presence of new singularities when the potentials considered v(α)(x(α)) for two-particle interactions decay less rapidly than /x(α)/-2; and also when trials are made for solving the problem with a representation space whose dimension for a particle is lower than three. A method is given that allows the mathematical approach to be extended to three body problem, in spite of singularities. Applications are given
[fr]
Les methodes actuellement proposees dans le probleme a trois corps en mecanique quantique, utilisant l'approche de Faddeev pour demontrer la completude asymptotique, se heurtent a la presence de nouvelles singularites si l'on considere des potentiels d'interactions v(α)(x(α)) entre deux particules qui decroissent moins vite que /x(α)/-2, ou encore si l'on essaie de resoudre le probleme lorsque la dimension de l'espace de representation d'une particule est strictement inferieure a trois. On developpe en donnant des applications, une methode qui permet de poursuivre l'etude mathematique du probleme a trois corps, malgre ces singularitesOriginal Title
Applications de la methode de Lavine au probleme a trois corps
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Sep 1975; 65 p
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Report
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