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CERN Document Server Намерени са 2,017 записа  1 - 10следващкрай  отиване на запис: Търсенето отне 0.66 секунди. 
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Numerical study of the relativistic three-body quantization condition in the isotropic approximation / Briceño, Raúl A. (Jefferson Lab ; Old Dominion U.) ; Hansen, Maxwell T. (CERN) ; Sharpe, Stephen R. (Washington U., Seattle)
We present numerical results showing how our recently proposed relativistic three-particle quantization condition can be used in practice. Using the isotropic (generalized $s$-wave) approximation, and keeping only the leading terms in the effective range expansion, we show how the quantization condition can be solved numerically in a straightforward manner. [...]
arXiv:1803.04169; JLAB-THY-18-2657; CERN-TH-2018-046.- 2018-07-12 - 25 p. - Published in : Phys. Rev. D 98 (2018) 014506 Article from SCOAP3: PDF; Fulltext: arXiv:1803.04169 - PDF; fulltext - XML; External link: JLab Document Server
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Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism / Briceño, Raúl A. (Jefferson Lab ; Old Dominion U.) ; Hansen, Maxwell T. (CERN) ; Sharpe, Stephen R. (Washington U., Seattle) ; Szczepaniak, Adam P. (Indiana U., Bloomington (main) ; Indiana U., CEEM ; Jefferson Lab)
In a previous publication, two of us derived a relation between the scattering amplitude of three identical bosons, $\mathcal M_3$, and a real function referred to as the {divergence-free} K matrix and denoted $\mathcal K_{\text{df},3}$. The result arose in the context of a relation between finite-volume energies and $\mathcal K_{\text{df},3}$, derived to all orders in the perturbative expansion of a generic low-energy effective field theory. [...]
arXiv:1905.11188; JLAB-THY-19-2945; CERN-TH-2019-078.- 2019-09-19 - 19 p. - Published in : Phys. Rev. D 100 (2019) 054508 Article from SCOAP3: PDF; Fulltext: PDF; External link: JLab Document Server
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Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states / Romero-López, Fernando (Valencia U., IFIC) ; Sharpe, Stephen R. (Washington U., Seattle) ; Blanton, Tyler D. (Washington U., Seattle) ; Briceño, Raúl A. (Jefferson Lab ; Old Dominion U.) ; Hansen, Maxwell T. (CERN)
In this work, we use an extension of the quantization condition, given in Ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. [...]
arXiv:1908.02411; JLAB-THY-19-3011; CERN-TH-2019-129.- 2019-10-03 - 42 p. - Published in : JHEP 1910 (2019) 007 Article from SCOAP3: PDF; Fulltext: PDF; External link: JLab Document Server
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Lattice QCD and Three-particle Decays of Resonances / Hansen, Maxwell T. (CERN) ; Sharpe, Stephen R. (Washington U., Seattle)
Most strong-interaction resonances have decay channels involving three or more particles, including many of the recently discovered $X$, $Y$ and $Z$ resonances. In order to study such resonances from first principles using lattice QCD, one must understand finite-volume effects for three particles in the cubic box used in calculations. [...]
arXiv:1901.00483.- 2019-07-23 - 45 p. - Published in : Ann. Rev. Nucl. Part. Sci. 69 (2019) 65-107 Fulltext: PDF;
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Three-particle systems with resonant subprocesses in a finite volume / Briceño, Raúl A. (Jefferson Lab ; Old Dominion U.) ; Hansen, Maxwell T. (CERN) ; Sharpe, Stephen R. (Washington U., Seattle)
In previous work, we have developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that no poles are present in the two-particle K matrices that appear as scattering subprocesses. Here we lift this restriction, by deriving the quantization condition for identical scalar particles with a G-parity symmetry, in the case that the two-particle K matrix has a pole in the kinematic regime of interest. [...]
arXiv:1810.01429; JLAB-THY-18-2819.- 2019-01-31 - 40 p. - Published in : Phys. Rev. D 99 (2019) 014516 Article from SCOAP3: PDF; Fulltext: PDF; External link: JLab Document Server
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Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states / Briceño, Raúl A. (Jefferson Lab ; Old Dominion U.) ; Hansen, Maxwell T. (CERN) ; Jackura, Andrew W. (Jefferson Lab ; Old Dominion U.)
Recently, a framework has been developed to study form factors of two-hadron states probed by an external current. The method is based on relating finite-volume matrix elements, computed using numerical lattice QCD, to the corresponding infinite-volume observables. [...]
arXiv:1909.10357; JLAB-THY-19-3040; CERN-TH-2019-149.- 2019-12-06 - 17 p. - Published in : Phys. Rev. D 100 (2019) 114505 Article from SCOAP3: PDF; Fulltext: PDF;
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Progress report on the relativistic three-particle quantization condition / Blanton, Tyler D. (Washington U., Seattle) ; Briceño, Raúl A. (Old Dominion U. ; Jefferson Lab) ; Hansen, Maxwell T. (CERN) ; Romero-López, Fernando (Valencia U., IFIC) ; Sharpe, Stephen R. (Washington U., Seattle)
We describe recent work on the relativistic three-particle quantization condition, generalizing and applying the original formalism of Hansen and Sharpe, and of Brice\~no, Hansen and Sharpe. In particular, we sketch three recent developments: the generalization of the formalism to include K-matrix poles; the numerical implementation of the quantization condition in the isotropic approximation; and ongoing work extending the description of the three-particle divergence-free K matrix beyond the isotropic approximation..
arXiv:1810.06634; JLAB-THY-18-2877.- SISSA, 2018-10-15 - 7 p. - Published in : PoS LATTICE2018 (2018) 076 Fulltext: PoS(LATTICE2018)076 - PDF; 1810.06634 - PDF; External link: JLab Document Server
In : 36th International Symposium on Lattice Field Theory, East Lansing, MI, USA, 22 - 28 Jul 2018, pp.076
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Analytic expansions of two- and three-particle excited-state energies / Grabowska, Dorota Maria (CERN) ; Hansen, Maxwell T. (U. Edinburgh, Higgs Ctr. Theor. Phys.)
The last years have seen significant developments in methods relating two- and three-particle finite-volume energies to scattering observables. These relations hold for both weakly and strongly interacting systems, and studying their predictions in limiting cases can provide important cross checks as well as giving useful insights into the general formulae. [...]
arXiv:2112.11996; CERN-TH-2021-228.- 2022-05-16 - 13 p.
- Published in : PoS: LATTICE2021 (2022) , pp. 203 Fulltext: document - PDF; 2112.11996 - PDF;
In : 38th International Symposium on Lattice Field Theory, Online, 26 - 30 Jul 2021, pp.203
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Generalizing the relativistic quantization condition to include all three-pion isospin channels / Hansen, Maxwell T. (CERN) ; Romero-López, Fernando (Valencia U., IFIC) ; Sharpe, Stephen R. (U. Washington, Seattle (main))
We present a generalization of the relativistic, finite-volume, three-particle quantization condition for non-identical pions in isosymmetric QCD. The resulting formalism allows one to use discrete finite-volume energies, determined using lattice QCD, to constrain scattering amplitudes for all possible values of two- and three-pion isospin. [...]
arXiv:2003.10974; CERN-TH-2020-045.- 2020-07-08 - 49 p. Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
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Consistency checks for two-body finite-volume matrix elements: II. Perturbative systems / Briceño, Raúl A. (Jefferson Lab ; Old Dominion U.) ; Hansen, Maxwell T. (CERN) ; Jackura, Andrew W. (Jefferson Lab ; Old Dominion U.)
Using the general formalism presented in Refs. [1,2], we study the finite-volume effects for the $\mathbf{2}+\mathcal{J}\to\mathbf{2}$ matrix element of an external current coupled to a two-particle state of identical scalars with perturbative interactions. [...]
arXiv:2002.00023; JLAB-THY-19-3113; CERN-TH-2020-015.- 2020-05-22 - 16 p. - Published in : Phys. Rev. D 101 (2020) 094508 Article from SCOAP3: PDF; Fulltext: PDF;
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