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Full one-loop radiative corrections are calculated for low energy neutrino-nucleon quasi-elastic scattering, $\bar \nu_{e}+p \longrightarrow e^{+} + n$, which involves both Fermi and Gamow-Teller transitions, in the static limit of…

High Energy Physics - Phenomenology · Physics 2011-08-11 Masataka Fukugita , Takahiro Kubota

A recently modified method to enable low-energy nuclear scattering results to be extracted from the discrete energy levels of the target-projectile clusters confined by harmonic potential traps is tested. We report encouraging results for…

Nuclear Theory · Physics 2020-09-30 Xilin Zhang , S. R. Stroberg , P. Navrátil , Chan Gwak , J. A. Melendez , R. J. Furnstahl , J. D. Holt

We survey the basic notions of scattering theory in Hamiltonian mechanics with a particular attention to the analogies with scattering theory in quantum mechanics. We discuss the scattering symplectomorphism, which is analogous to the…

Spectral Theory · Mathematics 2015-05-13 Vladimir Buslaev , Alexander Pushnitski

In this work, we discuss the scattering theory of local, relativistic quantum fields with indefinite metric. Since the results of Haag--Ruelle theory do not carry over to the case of indefinite metric, we propose an axiomatic framework for…

Mathematical Physics · Physics 2009-11-11 S. Albeverio , H. Gottschalk

Scattering-type scanning near-field optical microscopy is a powerful imaging technique for studying materials beyond the diffraction limit. However, interpreting near-field measurements poses challenges in mapping the response of…

Transmission probabilities of the scattering problem with a position dependent mass are studied. After sketching the basis of the theory, within the context of the Schr\"{o}dinger equation for spatially varying effective mass, the simplest…

Quantum Physics · Physics 2009-11-11 Ramazan Koc , Mehmet Koca , Gultekin Sahinoglu

Based on the work of Nuttall and Cohen [Phys. Rev. {\bf 188} (1969) 1542] and Resigno et al{} [Phys. Rev. A {\bf 55} (1997) 4253] we present a rigorous formalism for solving the scattering problem for long-range interactions without using…

Atomic Physics · Physics 2015-05-27 M. V. Volkov , N. Elander , E. Yarevsky , S. L. Yakovlev

We investigate the role of high momentum components of optical model potentials for nucleon-nucleus scattering and its incidence on their nonlocal structure in coordinate space. The study covers closed-shell nuclei with mass number in the…

Nuclear Theory · Physics 2021-02-03 H. F. Arellano , G. Blanchon

We consider interacting Fermi systems close to the unitary regime and compute the corrections to the energy density that are due to a large scattering length and a small effective range. Our approach exploits the universality of the density…

Nuclear Theory · Physics 2009-02-05 Anirban Bhattacharyya , T. Papenbrock

Coherent diffractive imaging has enabled the structural analysis of individual free nanoparticles in a single shot and offers the tracking of their light induced dynamics with unprecedented spatial and temporal resolution. The retrieval of…

Optics · Physics 2020-05-07 Björn Kruse , Benjamin Liewehr , Christian Peltz , Thomas Fennel

Quantum Monte Carlo techniques are employed to study the properties of polarons in an ultracold Fermi gas, at $T= 0,$ and in the unitary regime using both a zero-range model and a square-well potential. For a fixed density, the potential…

Quantum Gases · Physics 2021-10-26 Renato Pessoa , S. A. Vitiello , L. A. Peña Ardila

Neutrino scattering physics is discussed for investigating internal structure of the nucleon and nuclei at future neutrino facilities. We explain structure functions in neutrino scattering. In particular, there are new polarized functions…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Kumano

The formalism of the scattering matrix is applied to describe the transmission properties of multilayered structures with deep variations of the refractive index and arbitrary arrangements of the layers. We show that there is an exact…

Optics · Physics 2011-09-22 Victor Grigoriev , Fabio Biancalana

The Kohn variational principle and the (correlated) Hyperspherical Harmonics technique are applied to study the n-3H and p-3He scattering at zero energy. Predictions for the singlet and triplet scattering lengths are obtained for…

Nuclear Theory · Physics 2009-10-31 M. Viviani , S. Rosati , A. Kievsky

Fermi's golden rule underpins the investigation of mobile carriers propagating through various solids, being a standard tool to calculate their scattering rates. As such, it provides a perturbative estimate under the implicit assumption…

Mesoscale and Nanoscale Physics · Physics 2017-01-26 Kristof Moors , Bart Sorée , Wim Magnus

We give a complete solution of the problem of constructing a scattering potential v(x) that possesses scattering properties of one's choice at an arbitrary prescribed wavenumber. Our solution involves expressing v(x) as the sum of at most…

Quantum Physics · Physics 2015-03-16 Ali Mostafazadeh

We investigate the degree to which the concept of superscaling, initially developed within the framework of the relativistic Fermi gas model, applies to inclusive electron scattering from nuclei. We find that data obtained from the low…

Nuclear Theory · Physics 2009-10-31 T. W. Donnelly , Ingo Sick

The M\"ossbauer spectroscopy is presented as an alternative experimental technique to be pursued in the detec-tion of Coherent Elastic{\nu}-Nucleus Scattering (CENNS). The neutrino transferred energy in the neutrino-nucleusinteraction…

High Energy Physics - Phenomenology · Physics 2020-10-23 C Marques , G S Dias , H S Chavez , S B Duarte

This paper studies the scattering matrix $\Sigma(E;\hbar)$ of the problem \[ -\hbar^2 \psi''(x) + V(x) \psi(x) = E\psi(x) \] for positive potentials $V\in C^\infty(\R)$ with inverse square behavior as $x\to\pm\infty$. It is shown that each…

Mathematical Physics · Physics 2008-04-16 Ovidiu Costin , Wilhelm Schlag , Wolfgang Staubach , Saleh Tanveer

In a finite volume, resonances and multi-hadron states are identified by discrete energy levels. When comparing the results of lattice QCD calculations to scattering experiments, it is important to have a way of associating the energy…

High Energy Physics - Lattice · Physics 2015-03-20 J. M. M. Hall , A. C. -P. Hsu , D. B. Leinweber , A. W. Thomas , R. D. Young