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In this work the elastic scattering of two nucleons is calculated in chiral effective field theory at next-to-leading order taking into account the coupled N$\Delta$-, $\Delta$N- and $\Delta\Delta$-channels. To solve the coupled channel…

Nuclear Theory · Physics 2020-08-28 Susanne Strohmeier , Norbert Kaiser

A framework to calculate two-particle matrix elements for fully antisymmetrized three-cluster configurations is presented. The theory is developed for a scattering situation described in terms of the Algebraic Model. This means that the…

Nuclear Theory · Physics 2009-11-06 V. Vasilevsky , A. V. Nesterov , F. Arickx , J. Broeckhove

We present a multichannel model for elastic interactions, comprised of an arbitrary number of coupled finite square-well potentials, and derive semi-analytic solutions for its scattering behavior. Despite the model's simplicity, it is…

Atomic Physics · Physics 2018-12-11 Nirav P. Mehta , Kaden R. A. Hazzard , Christopher Ticknor

We present a model for electron- and neutrino-scattering off nucleons and nuclei focussing on the quasielastic and resonance region. The lepton-nucleon reaction is described within a relativistic formalism that includes, besides…

Nuclear Theory · Physics 2009-04-03 T. Leitner , O. Buss , L. Alvarez-Ruso , U. Mosel

The scattering lengths and effective ranges that describe low-energy nucleon-nucleon scattering are calculated in the limit of SU(3)-flavor symmetry at the physical strange-quark mass with Lattice Quantum Chromodynamics. The calculations…

High Energy Physics - Lattice · Physics 2013-08-28 S. R. Beane , E. Chang , S. D. Cohen , W. Detmold , P. Junnarkar , H. W. Lin , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Walker-Loud

The scattering of two charged strongly interacting particles is described on the basis of the P-matrix approach. In the P matrix, it is proposed to isolate explicitly the background term corresponding to purely Coulomb interaction, whereby…

Nuclear Theory · Physics 2007-05-23 V. A. Babenko , N. M. Petrov

We calculate the differential scattering rate for thermal neutrinos in a hot and dilute gas of interacting neutrons using linear response theory. The dynamical structure factors for density and spin fluctuations of the strongly interacting…

Nuclear Theory · Physics 2018-08-08 Paulo F. Bedaque , Sanjay Reddy , Srimoyee Sen , Neill C. Warrington

Sturmian theory for nucleon-nucleus scattering is discussed in the presence of all the phenomenological ingredients necessary for the description of weakly-bound (or particle-unstable) light nuclear systems. Currently, we use a macroscopic…

Nuclear Theory · Physics 2008-11-26 L. Canton , K. Amos , S. Karataglidis , G. Pisent , J. P. Svenne , D. van der Knijff

Low energy theorems are derived for the coefficients of the effective range expansion in s-wave nucleon-nucleon scattering valid to leading order in an expansion in which both $m_\pi$ and $1/a$ (where $a$ is the scattering length) are…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen , James M. Hansen

Microscopic optical potentials for nucleon-nucleus (NA) scattering obtained from the full folding of the effective g matrices, solutions of the Bruckner-Bethe-Goldstone equation, with the densities of the target, are applied to the case of…

Nuclear Theory · Physics 2009-11-07 S. Karataglidis , M. B. Chadwick

The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this…

Nuclear Theory · Physics 2020-04-22 Dong Bai , Zhongzhou Ren

What effect do particle-emitting resonances have on the scattering cross section? What physical considerations are necessary when modelling these resonances? These questions are important when theoretically describing scattering experiments…

We discuss theoretical calculations of electron- and neutrino-nucleus scattering, carried out using realistic nuclear spectral functions and including the effect of final state interactions. Comparison between electron scattering data and…

High Energy Physics - Phenomenology · Physics 2009-11-11 O. Benhar , N. Farina , H. Nakamura , M. Sakuda , R. Seki

The elastic neutron-${}^3\mathrm{H}$ scattering at intermediate energies is studied using rigorous integral equations solved in the momentum-space partial-wave basis. The four-particle transition operators are expanded into…

Nuclear Theory · Physics 2025-02-24 A. Deltuva

Multi-layered structures are widely used in the construction of metamaterial devices to realize various cutting-edge waveguide applications. This paper makes several contributions to the mathematical analysis of subwavelength resonances in…

Analysis of PDEs · Mathematics 2025-04-09 Youjun Deng , Lingzheng Kong , Yongjian Liu , Liyan Zhu

We calculate nucleon-nucleon scattering at low energies and large impact parameter in the Skyrme model within the framework for soliton scattering proposed by Manton. This corresponds to a truncation of the degrees of freedom to the twelve…

High Energy Physics - Phenomenology · Physics 2010-11-01 T. Gisiger , M. B. Paranjape

A theoretical study on the weak scattering formulation for flexural waves in thin elastic plates loaded by point-like resonators is reported. Our approach employs the Born approximation and far-field asymptotics of the Green function to…

Applied Physics · Physics 2025-04-01 Mario Lázaro , Marc Martí-Sabaté , Richard V. Craster , Vicent Romero-García

A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for the $\alpha$+${}^6$He cluster system, so finding a model spectrum for ${}^{10}$Be to more than 10 MeV excitation.…

Nuclear Theory · Physics 2017-05-24 K. Amos , L. Canton , P. R. Fraser , S. Karataglidis , J. P. Svenne , D. van der Knijff

This work reports the conditions under which weak scattering assumptions can be applied in a beam loaded by multiple resonators supporting both longitudinal and flexural waves. The work derives the equations of motion of a one-dimensional…

Applied Physics · Physics 2024-10-02 Mario Lázaro , Richard Wiltshaw , Richard V. Craster , Vicent Romero-García

One theoretical method for studying nuclear scattering and resonances is via the multi-channel algebraic scattering (MCAS) formalism. Studies to date with this method have used a simple collective-rotor prescription to model target states…

Nuclear Theory · Physics 2014-10-03 P. R. Fraser , L. Canton , K. Amos , S. Karataglidis , J. P. Svenne , D. van der Knijff