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The Fractional Fourier Transform (FRT) corresponds to an arbitrary-angle rotation in the phase space, e.g. the time-frequency (TF) space, and generalizes the fundamentally important Fourier Transform. FRT applications range from classical…

Optics · Physics 2024-03-06 Michał Lipka , Michał Parniak

In this work, we present a precise and model--independent method to extract resonance pole parameters from phase-shift scattering data. These parameters are defined from the associated poles in the second Riemann sheet, unfolded by the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Pere Masjuan , Jacobo Ruiz de Elvira , Juan José Sanz-Cillero

General analytical expressions for the observables in $dA$-scattering reaction have been derived in the diffraction approximation. The resulting formulas describe the cross section and polarization states of the deuteron when it scattering…

Nuclear Theory · Physics 2024-02-29 Valery I. Kovalchuk

We present the effective range expansions for the 1S_0 and 3S_1 scattering phase shifts, and the relativistic deuteron wave functions that accompany our recent high precision fits (with chi^2/N{data} approx 1) to the 2007 world np data…

Nuclear Theory · Physics 2014-11-21 Franz Gross , Alfred Stadler

We present neutron scattering measurements of the phonon-roton (P-R) mode of superfluid 4He confined in 47 \AA MCM-41 at T = 0.5 K at wave vectors, Q, beyond the roton wave vector (Q_R =1.92 \AA$^{-1}$). Measurements beyond the roton…

Other Condensed Matter · Physics 2013-07-04 R. T. Azuah , S. O. Diallo , M. A. Adams , O. Kirichek , H. R. Glyde

In this paper, we have made a comparative study of alpha-alpha scattering using different phenomenological models like Morse, double Gaussian, double Hulthen, Malfliet-Tjon and double exponential for the nuclear interaction and atomic…

Nuclear Theory · Physics 2023-07-26 Ayushi Awasthi , O. S. K. S. Sastri

We propose a generic Scattering Power Factorization Framework (SPFF) for Polarimetric Synthetic Aperture Radar (PolSAR) data to directly obtain $N$ scattering power components along with a residue power component for each pixel. Each…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Debanshu Ratha , Eric Pottier , Avik Bhattacharya , Alejandro C. Frery

We propose a novel method to measure the neutron-neutron scattering length using the $^{6}$He$(p,p\alpha)nn$ reaction in inverse kinematics at high energies. The method is based on the final state interaction (FSI) between the neutrons…

We predict neutron-proton scattering cross-sections and polarization observables up to next-to-next-to-next-to leading order in a renormalization-group invariant description of the strong nucleon-nucleon interaction. Low-energy constants…

Nuclear Theory · Physics 2024-06-12 Oliver Thim , Andreas Ekström , Christian Forssén

On the received coefficients of the analytical forms for deuteron wave function in coordinate representation in form r^(l+1)*exp(-A*r) for the modern realistic nucleon-nucleon potentials NijmI, NijmII, Nijm93, Reid93 and Argonne v18 are…

Nuclear Theory · Physics 2019-07-15 V. I. Zhaba

The s-wave nucleon-nucleon (NN) scattering matrix ($S$-matrix) exhibits UV/IR symmetries which are hidden in the effective field theory (EFT) action and scattering amplitudes, and which explain some generic features of the phase shifts.…

Nuclear Theory · Physics 2022-05-18 Silas R. Beane , Roland C. Farrell

The real and imaginary scattering phase shifts (SPS) and potentials for $\ell=0,2,4$ partial waves have been obtained by developing a novel algorithm$^{\ref{Fig1}}$ to derive inverse potentials using a phenomenological approach. The phase…

Nuclear Theory · Physics 2024-12-20 Shikha Awasthi , Ishwar Kant , Anil Khachi , O. S. K. S. Sastri

Scattering of protons with transversal polarization $p_y^p$ on deuterons with tensor polarization $P_{xz}$ provides a null-test signal for time-reversal (T) invariance violating but parity (P) conserving effects. We calculate the…

Nuclear Theory · Physics 2016-10-12 Yu. N. Uzikov , J. Haidenbauer

Pulsed nuclear magnetic resonance (NMR) is widely used in high-precision magnetic field measurements. The absolute value of the magnetic field is determined from the precession frequency of nuclear magnetic moments. The Hilbert transform is…

Measuring Compton scattered photons and recoil neutrons in coincidence, quasi-free Compton scattering by the neutron has been investigated at MAMI (Mainz) at $theta^{lab}_\gamma=136^o$ in an energy range from 200 to 400 MeV. From the data a…

Correlation functions of hadrons can be accessed in high-energy collisions of atomic nuclei, revealing information about the underlying interaction. This work complements experimental efforts to study nucleon-deuteron $Nd$ -- with $N=p$…

Nuclear Theory · Physics 2023-06-06 M. Viviani , S. König , A. Kievsky , L. E. Marcucci , B. Singh , O. Vázquez Doce

In this paper, the nonlinear Volterra series expansion is extended and used to describe certain types of nonautonomous differential equations related to the inverse scattering problem in nuclear physics. The nonautonomous Volterra series…

Nuclear Theory · Physics 2024-11-14 Gabor Balassa

We have performed high precision measurements of the zero-energy neutron scattering amplitudes of gas phase molecular hydrogen, deuterium, and $^{3}$He using neutron interferometry. We find $b_{\mathit{np}}=(-3.7384 \pm 0.0020)$…

Nuclear Experiment · Physics 2009-11-11 P. R. Huffman , M. Arif , T. C. Black , D. L. Jacobson , K. Schoen , W. M. Snow , S. A. Werner

The rms-radius $R$ of the proton charge distribution is a fundamental quantity needed for precision physics. This radius, traditionally determined from elastic electron-proton scattering via the slope of the Sachs form factor $G_e(q^2)$…

Nuclear Experiment · Physics 2018-01-08 Ingo Sick

For a single-channel nucleon-nucleon scattering, a well-known and convenient variable phase approach is considered, which is widely used for practical problems of atomic and nuclear physics. Approximation of the $pp$- and $np$- scattering…

Nuclear Theory · Physics 2019-07-15 V. I. Zhaba