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We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of…

Spectral Theory · Mathematics 2016-12-19 Isaac Alvarez-Romero , Yurii Lyubarskii

Multi-component aggregates are being intensively researched in various fields because of their highly tunable properties and wide applications. Due to the complex configurational space of these systems, research would greatly benefit from a…

Atomic and Molecular Clusters · Physics 2025-02-26 Nicolò Canestrari , Diana Nelli , Riccardo Ferrando

The nuclear rainbow observed in the elastic $\alpha$-nucleus and light heavy-ion scattering is proven to be due to the refraction of the scattering wave by a deep, attractive real optical potential. The nuclear rainbow pattern, established…

Nuclear Theory · Physics 2021-02-16 Nguyen Hoang Phuc , Dao T. Khoa , Nguyen Tri Toan Phuc , Do Cong Cuong

Coupled atomistic-continuum methods can describe large domains and model dynamic material behavior for a much lower computational cost than traditional atomistic techniques. However, these multiscale frameworks suffer from wave reflections…

Mesoscale and Nanoscale Physics · Physics 2022-08-19 Alexander S. Davis , Vinamra Agrawal

A great deal of research work has been undertaken in alpha-clustering study since the pioneering discovery of 12C+12C molecular resonances half a century ago. Our knowledge on physics of nuclear molecules has increased considerably and…

Nuclear Experiment · Physics 2016-12-21 C. Beck

An S matrix approach is developed to describe elastic scattering resonances of systems where the scattered particle is asymptotically confined and the scattering potential lacks continuous symmetry. Examples are conductance resonances in…

Condensed Matter · Physics 2009-10-22 J. U. Noeckel , A. D. Stone

The majority of nuclei available for study in solid state Nuclear Magnetic Resonance have half-integer spin $I > 1/2 $, with corresponding electric quadrupole moment. As such, they may couple with a surrounding electric field gradient. This…

Materials Science · Physics 2009-05-19 William J. Brouwer , Michael C. Davis , Karl T. Mueller

Coherent backscattering is a multiple scattering interference effect which enhances the diffuse reflection off a disordered sample in the backward direction. Classically, the enhanced intensity is twice the average background under well…

The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations, defined by nuclear deformations. Proper treatment of such excitations is often essential to the accurate…

Nuclear Theory · Physics 2015-03-13 G. P. A. Nobre , F. S. Dietrich , M. Herman , A. Palumbo , S. Hoblit , D. Brown

The statistics of scattering of waves inside single ray-chaotic enclosures have been successfully described by the Random Coupling Model (RCM). We expand the RCM to systems consisting of multiple complex ray-chaotic enclosures with variable…

We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By mapping the problem onto a nonlinear supersymmetric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. V. Fyodorov , D. V. Savin , H. -J. Sommers

We consider the problem of transmission of several distributed correlated sources over a multiple access channel (MAC) with side information at the sources and the decoder. Source-channel separation does not hold for this channel.…

Information Theory · Computer Science 2016-11-15 R. Rajesh , Vinod Sharma , V. K. Varshenya

The formation of alpha-clusters in nuclei close to the decay thresholds is discussed. These states can be considered to be boson-condensates, which are formed in a second order phase transition in a mixture of nucleons and alpha-particles.…

Nuclear Experiment · Physics 2015-05-18 Wolfram von Oertzen

A new method for directly sampling the neutron resonance upscattering effect is presented. Alternatives have relied on inefficient rejection sampling techniques or large tabular storage of relative velocities. None of these approaches,…

Computational Physics · Physics 2023-03-16 Gavin Ridley , Benoit Forget , Timothy Burke

The authors review the evidence for the applicability of random--matrix theory to nuclear spectra. In analogy to systems with few degrees of freedom, one speaks of chaos (more accurately: quantum chaos) in nuclei whenever random--matrix…

Nuclear Theory · Physics 2014-11-18 H. A. Weidenmuller , G. E. Mitchell

We study the variation of the mean cross section with the density of the samples in the quantum scattering of a particle by a disordered target. The target consists of a set of pointlike scatterers, each having an equal probability of being…

Disordered Systems and Neural Networks · Physics 2021-07-14 D Boosé , J Y Fortin , J M Luck

The theory of acoustic wave scattering by many small bodies is developed for bodies with impedance boundary condition. It is shown that if one embeds many small particles in a bounded domain, filled with a known material, then one can…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

The propagation of the scalar (\sigma and \delta) and vector (\omega and \rho) mesons in an iso-asymmetric nuclear matter is studied in detail, using the Walecka model. We calculate the invariant masses and spectral functions of the mesons,…

Nuclear Theory · Physics 2008-11-26 Y. Muto , K. Saito

Starting from a microscopic theory for atomic scatterers, we describe the scattering of light by a single atom and study the coherent propagation of light in a cold atomic cloud in the presence of a magnetic field B in the mesoscopic…

Atomic Physics · Physics 2015-06-15 Olivier Sigwarth , Guillaume Labeyrie , Dominique Delande , Christian Miniatura

The conductance in an extended multiband Hubbard model describing linear arrays of up to ten quantum dots is calculated via a Lanczos technique. A pronounced suppression of certain resonant conductance peaks in an applied magnetic field due…

Condensed Matter · Physics 2008-02-03 C. A. Stafford , S. Das Sarma
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