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We employ the chiral nucleon-nucleon potential derived using the method of unitary transformation up to next-to-next-to-leading order (NNLO) to study bound and scattering states in the two-nucleon system. The predicted partial wave phase…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Gloeckle , Ulf-G. Meissner

Understanding the few-nucleon system remains one of the challenges in modern nuclear and hadron physics. Observables in few-nucleon scattering processes are sensitive probes to study the two and many-body interactions between nucleons in…

Nuclear Experiment · Physics 2011-04-28 J. G. Messchendorp

We investigate the nucleon-nucleon interaction by using the meson exchange model and the two body Dirac equations of constraint dynamics. This approach to the two body problem has been successfully tested for QED and QCD relativistic bound…

Nuclear Theory · Physics 2009-11-07 Bin Liu , Horace Crater

Classically spinning B=1 Skyrmions can be regarded as approximations to nucleons with quantised spin. Here, we investigate nucleon-nucleon scattering through numerical collisions of spinning Skyrmions. We identify the dineutron/diproton and…

Nuclear Theory · Physics 2015-12-09 David Foster , Nicholas S. Manton

We consider different methods and observables which can be obtained by the measurement of neutrino scattering off nucleons and nuclei with the purpose of finding evidence for the strange form factors of the nucleon, which enter into…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. M. Alberico

We obtain an exact many-body scattering eigenstate in an open quantum dot system. The scattering state is not in the form of the Bethe eigenstate in the sense that the wave-number set of the incoming plane wave is not conserved during the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Akinori Nishino , Takashi Imamura , Naomichi Hatano

In this paper, we consider the scattering problem for a class of $N$-coupled systems of the cubic nonlinear Schr\"odinger equations in three space dimensions. We prove the scattering of solutions that have a mass-energy quantity less than…

Analysis of PDEs · Mathematics 2023-03-23 Satoshi Masaki , Ryusei Tsukuda

We construct two-electron scattering states and verify their tensor product structure in the infrared-regular massless Nelson model. The proof follows the lines of Haag-Ruelle scattering theory: Scattering state approximants are defined…

Mathematical Physics · Physics 2015-11-24 Wojciech Dybalski , Alessandro Pizzo

I review the main features of the nuclear response extracted from electron scattering data. The emerging picture clearly shows that the shell model does not provide a fully quantitative description of nuclear dynamics. On the other hand,…

Nuclear Theory · Physics 2009-11-10 Omar Benhar

We introduce a recipe to estimate the low-energy scattering parameters of a quantum few-body system - scattering length, effective range, and shape parameter - by using only discrete state calculations. We place the system in an artificial…

Nuclear Theory · Physics 2025-08-12 D. V. Fedorov , A. M. Pedersen

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

The exact treatment of nuclei starting from the constituent nucleons and the fundamental interactions among them has been a long-standing goal in nuclear physics. Above all nuclear scattering and reactions, which require the solution of the…

Nuclear Theory · Physics 2011-09-30 Petr Navratil , Sofia Quaglioni , Robert Roth

Two-body scattering is studied by solving the Lippmann-Schwinger equation in momentum space without angular-momentum decomposition for a local spin dependent short range interaction plus Coulomb. The screening and renormalization approach…

Nuclear Theory · Physics 2008-11-26 M. Rodriguez-Gallardo , A. Deltuva , E. Cravo , R. Crespo , A. C. Fonseca

We investigate the possibility of ultracold neutron (UCN) storage in quantum states defined by the combined potentials of the Earth's gravity and the neutron optical repulsion by a horizontal surface of liquid helium. We analyse the…

Nuclear Experiment · Physics 2016-08-31 P. D. Grigoriev , O. Zimmer , T. Ziman , A. D. Grigoriev

We propose a hybrid quantum-classical framework to solve the elastic scattering phase shift of two well-bound nuclei in an uncoupled channel. Within this framework, we develop a many-body formalism in which the continuum scattering states…

Nuclear Theory · Physics 2024-08-14 Peiyan Wang , Weijie Du , Wei Zuo , James P. Vary

A quantitative understanding of the weak nuclear response is a prerequisite for the analyses of neutrino experiments such as K2K and MiniBOONE, which measure energy and angle of the muons produced in neutrino-nucleus interactions in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Omar Benhar , Nicola Farina , Hiroki Nakamura , Makoto Sakuda , Ryoichi Seki

An effective nucleon-nucleon interaction calculated in nuclear matter from the Bonn potential has been parametrized in terms of a local density- and energy-dependent two-body interaction. This allows to calculate the real part of the…

Nuclear Theory · Physics 2009-10-30 G. Bartnitzky , H. Clement , P. Czerski , H. Müther , F. Nuoffer , J. Siegler

It is shown that experimental values of the cross sections of inelastic low-energy neutron scattering on even-even nuclei together with the description of these cross sections in the framework of the coupled channel optical model may be…

Nuclear Theory · Physics 2010-04-12 D. A. Zaikin , I. V. Surkova

We give a short description of the proof of asymptotic-completeness for NLS-type equations, including time dependent potential terms, with radial data in three dimensions. We also show how the method applies for the two-body Quantum…

Analysis of PDEs · Mathematics 2020-12-29 Baoping Liu , Avy Soffer

Nuclei in dense matter are influenced by the medium. In the cluster mean field approximation, an effective Schr\"odinger equation for the $A$-particle cluster is obtained accounting for the effects of the surrounding medium, such as…

Nuclear Theory · Physics 2015-05-28 G. Röpke