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Semi-Inclusive Deep-Inelastic Scattering provides unique access to the three-dimensional momentum and spin structure of the proton, enabling precise studies of parton dynamics and hadronization in QCD. We present a transverse-momentum…

High Energy Physics - Phenomenology · Physics 2026-02-09 Jun Gao , Hai Tao Li , Hua Xing Zhu , Yu Jiao Zhu

In this paper we demonstrate a computational method to solve the inverse scattering problem for a star-shaped, smooth, penetrable obstacle in 2D. Our method is based on classical ideas from computational geometry. First, we approximate the…

We show that in one dimension the transfer matrix M of any scattering potential v coincides with the S-matrix of an associated time-dependent non-Hermitian 2 x 2 matrix Hamiltonian H(\tau). If v is real-valued, H(\tau) is pseudo-Hermitian…

Quantum Physics · Physics 2015-06-17 Ali Mostafazadeh

We outline a global approach to scattering theory in one dimension that allows for the description of a large class of scattering systems and their $\mathcal{P}$-, $\mathcal{T}$-, and $\mathcal{P}\mathcal{T}$-symmetries. In particular, we…

Quantum Physics · Physics 2019-01-25 Ali Mostafazadeh

A formalism has been developed for calculating the signal of violation of $T$ invariance, provided that $P$ invariance is preserved during the scattering of tensor-polarized deuterons on vector-polarized ones based on the Glauber theory…

Nuclear Theory · Physics 2025-02-11 M. N. Platonova , Yu. N. Uzikov

We investigate polarization observables in hyperon-nucleon scattering by decomposing scattering amplitudes into spin-space tensors, where each component describes scattering by corresponding spin-dependent interactions, so that…

Nuclear Theory · Physics 2009-11-10 S. Ishikawa , M. Tanifuji , Y. Iseri , Y. Yamamoto

A new tool which combines chiral perturbation theory and unitarity in coupled channels is applied with success to the study of the meson-meson interaction, extending the theoretical predictions up to sqrt{s} = 1.2 GeV, hence improving…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Oset , J. A. Oller , J. R. Peláez , Chiang Huan Ching , M. J. Vicente Vacas

The present paper generalizes preceding papers of the author and opens a cycle of works concerning the general posing and solution in analytic form of the quantum-mechanical inverse scattering problem (for a given partial channel) in a…

Nuclear Theory · Physics 2007-05-23 V. M. Muzafarov

Sharp-momentum transition matrix elements for scattering from a short-range Gaussian potential are computed using a real-time path integral. The computation is based on a numerical implementation of a new interpretation of the path integral…

High Energy Physics - Lattice · Physics 2018-09-10 W. N. Polyzou , Ekaterina Nathanson

The microscopic coupled-channel calculation of inelastic proton scattering is performed for the study of neutron excitations in $2^+_1$ states of $^{18}$O, $^{10}$Be, $^{12}$Be, and $^{16}$C. Proton-nucleus potentials in the coupled-channel…

Nuclear Theory · Physics 2020-01-08 Yoshiko Kanada-En'yo , Kazuyuki Ogata

Using a generalized T-matrix description which, in principle, exactly includes Coulomb correlations and potential scattering events, resonant and bound impurity states are discussed. Like in the non-interacting case, the effects of the…

Condensed Matter · Physics 2009-10-28 W. Ziegler , D. Poilblanc , R. Preuss , W. Hanke , D. J. Scalapino

Thanks to J.~Schwinger, the process of elastic scattering of neutrons by nuclei is known to depend on the interference between a nuclear amplitude and an electromagnetic one for small scattering angles, resulting in spin asymmetries of a…

Nuclear Theory · Physics 2019-12-04 Andrei V. Afanasev , D. V. Karlovets , V. G. Serbo

The charge-exchange reaction pd -> npp at 1 GeV projectile proton energy is studied. This reaction is considered in a special kinematics, when the transfer momentum from the beam proton to fast outgoing neutron is close to zero. Our…

Nuclear Theory · Physics 2007-05-23 N. B. Ladygina , A. V. Shebeko

We study an inverse scattering problem for the discrete Schr\"{o}dinger operator on the multi-dimensional square lattice, with compactly supported potential. We show that the potential is uniquely reconstructed from a scattering matrix for…

Spectral Theory · Mathematics 2024-03-26 Hiroshi Isozaki , Hisashi Morioka

A one-dimensional generalized nonlinear Schroedinger equation is considered, and the corresponding inverse scattering problem is analyzed when the potential is compactly supported and depends on the wave function. The unique recovery of the…

Mathematical Physics · Physics 2007-05-23 Tuncay Aktosun , Vassilis G. Papanicolaou , Vassilis Zisis

We derive a general framework for describing semi-inclusive deep-inelastic lepton-nucleon scattering in terms of the unintegrated parton distributions and other higher twist parton correlations. Such a framework provides a consistent…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zuo-tang Liang , Xin-Nian Wang

Scattering theory is employed to derive a Landauer-type formula for the spin and the charge currents, through a finite region where spin-orbit interactions are effective. It is shown that the transmission matrix yields the spatial direction…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 O. Entin-Wohlman , A. Aharony , Y. Tokura , Y. Avishai

A deep learning-assisted inversion method is proposed to solve the inhomogeneous background imaging problem. Three non-iterative methods, namely the distorted-Born (DB) major current coefficients method, the DB modified Born approximation…

Applied Physics · Physics 2023-12-12 Naike Du , Tiantian Yin , Jing Wang , Rencheng Song , Kuiwen Xu , Bingyuan Liang , Sheng Sun , Xiuzhu Ye

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

Atomic Physics · Physics 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume

We study the convergence of the Left-Right splitting method (equivalent in key respects to the Method of Multiple Ordered Interactions and Forward-Backward method) for wave scattering by rough surfaces. This is an operator series method…

Numerical Analysis · Mathematics 2025-08-19 Paul E Parbone , Mark Spivack , Orsola Rath Spivack
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