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The article is devoted to the relativistic study of elastic $pD$ backward scattering based on the one-nucleon exchange diagram. Calculations were performed using relativistic deuteron wave functions obtained by solving the Bethe-Salpeter…

Nuclear Theory · Physics 2022-07-11 S. Bondarenko , S. Yurev

For the effective-range function $k\cot \delta $, a pole approximation that involves a small number of parameters is derived on the basis of the Bargmann representation of the $S$ matrix. The parameters of this representation, which have a…

Nuclear Theory · Physics 2009-11-11 V. A. Babenko , N. M. Petrov

Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of $m_\pi\sim 450~{\rm MeV}$ in three spatial volumes using $n_f=2+1$ flavors of light quarks. At the quark masses employed in this work, the deuteron…

High Energy Physics - Lattice · Physics 2020-07-31 Kostas Orginos , Assumpta Parreno , Martin J. Savage , Silas R. Beane , Emmanuel Chang , William Detmold

Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

We apply to the nucleon-nucleus inelastic process a fully coherent microscopic multiple scattering approach. Our study addresses the complexities inherent in characterizing inelastic scattering events, offering a comprehensive theoretical…

Nuclear Theory · Physics 2026-03-30 Matteo Vorabbi , Michael Gennari , Paolo Finelli , Carlotta Giusti , Petr Navrátil

The numerical algorithm of the inverse quantum scattering is developed. This algorithm is based on the Marchenko theory, and includes three steps. The first one is the algebraic Pade approximation of the unitary S-matrix, what is realized…

Nuclear Theory · Physics 2007-05-23 N. A. Khokhlov , V. A. Knyr

In this work, the phase function method (PFM) is employed for the first time to explicitly construct scattering wavefunctions for the $\alpha\alpha$ system using a single-term Morse potential. Unlike earlier PFM-based studies that primarily…

Nuclear Theory · Physics 2026-02-24 Anil Khachi , Shikha Awasthi , Tarachand Verma , Ranjana Joshi

In this article, we propose a numerical approach to solve quantum mechanical scattering problems, using phase function method, by considering neutron-proton interaction as an example. The nonlinear phase equation, obtained from the…

Nuclear Theory · Physics 2023-10-12 Shikha Awasthi , Anil Khachi , Lalit Kumar , O. S. K. S. Sastri

The J-matrix inverse scattering nucleon-nucleon potentials (JISP), describing both two-nucleon data and bound and resonant states of light nuclei to high accuracy, are tested on the total photoabsorption cross sections of Deuteron, Triton,…

Nuclear Theory · Physics 2009-11-11 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

An analytic calculation of the differential cross section for elastic Compton scattering on the deuteron at photon energies \omega in the range of 25-50 MeV is presented to next-to-next-to-leading order, i.e. to an accuracy of \sim 3%. The…

Nuclear Theory · Physics 2009-11-06 Harald W. Griesshammer , Gautam Rupak

We use a recently developed model of relativistic meson-exchange currents to compute the neutron-proton and proton-proton yields in $(\nu_\mu,\mu^-)$ scattering from $^{12}$C in the 2p-2h channel. We compute the response functions and cross…

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

The differential cross-sections for elastic and inelastic neutrino-deuteron scattering are calculated analytically using nucleon-nucleon effective field theory. For elastic scattering, the deuteron axial form factor and the deuteron strange…

Nuclear Theory · Physics 2009-10-31 Malcolm Butler , Jiunn-Wei Chen

Improved potential solutions are presented for the inverse scattering problem for $d$+$^4$He data. The input for the inversions includes both the data of recent phase shift analyses and phase shifts from RGM coupled-channel calculations…

Nuclear Theory · Physics 2019-08-17 V. I. Kukulin , V. N. Pomerantsev , S. G. Cooper , S. B. Dubovichenko

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

A distorted-wave method is used to analyse nucleon-nucleon scattering in the 1S0 channel. Effects of one-pion exchange are removed from the empirical phase shift to all orders by using a modified effective-range expansion. Two-pion exchange…

Nuclear Theory · Physics 2010-11-08 Michael C. Birse

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

We consider a Bargmann-type rational parametrization of the nucleon scattering phase shifts. Applying Marchenko's method of quantum inverse scattering we show that the scattering data suggest a singular repulsive core of the potential of…

Nuclear Theory · Physics 2018-09-13 Mahmut Elbistan , Pengming Zhang , Janos Balog

Angular distributions of the elastic and inelastic deuteron-nucleus scattering off $^{24}$Mg, $^{28}$Si, $^{58}$Ni, $^{90}$Zr, $^{116}$Sn, and $^{208}$Pb have been measured at a beam energy of 98 MeV/nucleon, with the goal of constraining…

The eigenphase shifts and mixing parameters for elastic p-d scattering below the deuteron-breakup threshold are calculated for the AV14 two-body potential using two different numerical methods. The excellent agreement confirms that it is…

Nuclear Theory · Physics 2014-11-18 A. Kievsky , J. L. Friar , G. L. Payne , S. Rosati , M. Viviani