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The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti

The one loop quantum corrections to the classical reflection factor of the sinh-Gordon model are calculated partially for general boundary conditions. The model is studied under boundary conditions which are compatible with integrability,…

High Energy Physics - Theory · Physics 2016-12-28 A. Chenaghlou

Critical systems are described by conformal field theories, whose dynamics can be exactly solved in two dimensions. In the presence of a boundary, with the so-called method of images it is possible to study the surface critical behaviour of…

High Energy Physics - Theory · Physics 2007-05-23 Valentina Riva

Exact analytical expressions for the cross-section correlation functions of chaotic scattering sys- tems have hitherto been derived only under special conditions. The objective of the present article is to provide expressions that are…

Chaotic Dynamics · Physics 2016-10-19 Torleif Ericson , Barbara Dietz , Achim Richter

Elastic ed scattering, with deuteron polarization, up to high momentum transfer provides detailed information on the deuteron wave function. This determines the range dependence of the orbital and spin components of the one- and two-body…

Nuclear Theory · Physics 2007-05-23 E. Lomon

It was recently shown [Y. Suzuki, L. Lacombe, K. Watanabe, and N. T. Maitra, Phys. Rev. Lett. 119, 263401 (2017)] that peak and valley structures in the exact exchange-correlation potential of time-dependent density functional theory are…

Chemical Physics · Physics 2018-07-04 Lionel Lacombe , Yasumitsu Suzuki , Kazuyuki Watanabe , Neepa T. Maitra

We investigate factorized scattering from a reflecting and transmitting impurity. Bulk scattering is non trivial, provided that the bulk scattering matrix depends separately on the spectral parameters of the colliding particles, and not…

High Energy Physics - Theory · Physics 2009-11-07 M. Mintchev , E. Ragoucy , P. Sorba

We formulate a general set of consistency requirements, which are expected to be satisfied by the scattering matrices in the presence of reflecting boundaries. In particular we derive an equivalent to the boostrap equation involving the…

High Energy Physics - Theory · Physics 2011-05-05 A. Fring , R. Köberle

We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as $p^2 \to 0$. In particular, we study a form factor…

High Energy Physics - Theory · Physics 2020-12-30 Marc Gillioz , Marco Meineri , Joao Penedones

The sinh-Gordon model is restricted to a half-line by boundary conditions maintaining integrability. A perturbative calculation of the reflection factor is given to one loop order in the bulk coupling and to first order in the difference of…

High Energy Physics - Theory · Physics 2016-12-28 A. Chenaghlou , E. Corrigan

We discuss effects of reflective scattering for hadron and heavy nuclei collisions at the LHC and asymptotical energies. It is shown that the reflective scattering might lead to decreasing matter density with energy beyond the LHC energies.…

High Energy Physics - Phenomenology · Physics 2009-09-23 Sergey Troshin , Nikolay Tyurin

We consider the question which potentials in the action of a (1+1) dimensional scalar field theory allowing for spontaneous symmetry breaking have quantum fluctuations corresponding to reflectionless scattering data. The general problem of…

High Energy Physics - Theory · Physics 2008-11-26 M. Bordag , A. Yurov

We calculate the total and differential quasielastic cross sections for neutrino and antineutrino scattering on nucleons using up to date fits to the nucleon elastic electromagnetic form factors $G_E^p$, $G_E^n$, $G_M^p$, $G_M^n$, and weak…

High Energy Physics - Experiment · Physics 2007-05-23 H. Budd , A. Bodek , J. Arrington

We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which…

High Energy Physics - Theory · Physics 2007-05-23 George Siopsis

The supersymmetric sinh-Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted…

High Energy Physics - Theory · Physics 2015-06-25 M. Ablikim , E. Corrigan

Equations are found for exact g-functions corresponding to integrable bulk and boundary flows between successive unitary c<1 minimal conformal field theories in two dimensions, confirming and extending previous perturbative results. These…

High Energy Physics - Theory · Physics 2010-11-23 Patrick Dorey , Roberto Tateo , Ruth Wilbourne

We examine the spectrum and boundary energy in boundary sine-Gordon theory, based on our recent results on the complete spectrum predicted by closing the boundary bootstrap. We check the spectrum and the reflection factors against truncated…

High Energy Physics - Theory · Physics 2009-11-07 Z. Bajnok , L. Palla , G. Takacs

The investigation of boundary breather states of the sinh-Gordon model restricted to a half-line is revisited. Properties of the classical boundary breathers for the two-parameter family of integrable boundary conditions are reviewed and…

High Energy Physics - Theory · Physics 2008-11-26 E. Corrigan , A. Taormina

The relationships between the fundamental dynamics and diffraction phenomena in scattering from two-body composite system are discussed. A new simple formula for the shadow corrections to the total cross-section in scattering from deuteron…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Arkhipov

Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of complex scattering potentials with the real energies at which…

Mathematical Physics · Physics 2010-11-24 Ali Mostafazadeh
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