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This work presents three-body calculations of the cross sections for the $^3$He+T $\to$ n+p+$^4$He fusion reaction. These calculations were performed by solving a set of six coupled Faddeev integral equations, utilizing a cluster…

Nuclear Theory · Physics 2025-12-19 M. V. Egorov

A new computational method for solving the configuration-space Faddeev equations for the breakup scattering problem has been applied to nd scattering both below and above the two-body threshold.

Nuclear Theory · Physics 2008-11-26 V. M. Suslov , M. A. Braun , I. Filikhin , B. Vlahovic

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

In this article, we aim to study the scattering of the solution to the focusing inhomogeneous nonlinear Schr\"odinger equation with a potential of form \begin{align*} i\partial_t u+\Delta u- Vu=-|x|^{-b}|u|^{p-1}u \end{align*} in the energy…

Analysis of PDEs · Mathematics 2024-01-05 Fanfei Meng , Sheng Wang , Chengbin Xu

$^{1}S_{0}$ \textit{nn}-scattering length has been measured in the \textit{nd}-breakup reaction at 60 MeV. The experiment was performed in the final state interaction geometry with registration of all three secondary particles. The…

Radiative capture of the K-minus by the deuteron as a reaction for measurement of the Lambda-neutron scattering lengths. The use of spin information to separate the singlet and triplet scattering lengths is treated.

Nuclear Theory · Physics 2009-11-06 W. R. Gibbs , S. A. Coon , H. K. Han , B. F. Gibson

The nd doublet and quartet scattering lengths have been calculated based on the modern NN and 3N interactions. We also studied the effect of the electromagnetic interactions in the form introduced in AV18. Switching them off for the various…

Nuclear Theory · Physics 2009-11-10 H. Witala , A. Nogga , H. Kamada , W. Glockle , J. Golak , R. Skibinski

We consider the three-dimensional cubic nonlinear Schr\"odinger system \begin{equation*} \begin{cases} i\partial_tu+\Delta u+(|u|^2+\beta |v|^2)u=0,\\ i\partial_tv+\Delta v+(|v|^2+\beta |u|^2)v=0. \end{cases} \end{equation*} Let $(P,Q)$ be…

Analysis of PDEs · Mathematics 2016-03-21 Luiz Gustavo Farah , Ademir Pastor

An exploratory study is made of the nucleon-nucleon $s$-wave scattering lengths in quenched lattice QCD with the Wilson quark action. The $\pi$-$N$ and $\pi$-$\pi$ scattering lengths are also calculated for comparison. The calculations are…

High Energy Physics - Lattice · Physics 2016-08-31 M. Fukugita , Y. Kuramashi , H. Mino , M. Okawa , A. Ukawa

The calculation of scattering amplitudes in Yang-Mills theory at loop level is important for the analysis of background processes at particle colliders as well as our understanding of perturbation theory at the quantum level. We present…

High Energy Physics - Theory · Physics 2013-05-30 Rutger H. Boels , Reinke Sven Isermann

Antiproton-deuteron (${\bar p}d$) scattering is calculated at beam energies below 300 MeV within the Glauber approach, utilizing the amplitudes of the J\"ulich $\bar N N$ models. A good agreement is obtained with available experimental data…

Nuclear Theory · Physics 2015-05-28 Yu. N. Uzikov , J. Haidenbauer

In this paper we found the dipole-nucleus scattering amplitude at high energies by summing large Pomeron loops. It turns out that the energy dependence of this amplitude is the same as for dipole-dipole scattering. It means that the…

High Energy Physics - Phenomenology · Physics 2025-04-14 Eugene Levin

With the aim at quantitatively investigating the longstanding problem concerning the effect of short range nucleon-nucleon correlations on scattering processes at high energies, the total neutron-nucleus cross section is calculated within a…

Nuclear Theory · Physics 2008-11-26 M. Alvioli , C. Ciofi degli Atti , I. Marchino , V. Palli , H. Morita

We present a precise measurement of the cross section, proton and $\rm ^3He$ analyzing powers, and spin correlation coefficient $C_{y,y}$ for $p$-$\rm ^3He$ elastic scattering near 65 MeV, and a comparison with rigorous four-nucleon…

Three-body calculations of (d,p) and (p,d) reactions involving one-neutron halo nuclei 11Be and 15C are performed using the framework of Faddeev-type scattering equations. Important effects of the optical potential nonlocality are found…

Nuclear Theory · Physics 2011-08-23 A. Deltuva

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

The potential splitting approach incorporated into the framework of Faddeev-Merkuriev equations in the differential form is used for calculations of multichannel scattering in $e^-e^+\bar{p}$ and $e^+e^-\mbox{He}^{++}$ systems. Detailed…

Atomic Physics · Physics 2018-10-29 V A Gradusov , V A Roudnev , E A Yarevsky , S L Yakovlev

We have introduced a spin-isospin dependent three-dimensional approach for formulation of the three-nucleon scattering. Faddeev equation is expressed in terms of vector Jacobi momenta and spin-isospin quantum numbers of each nucleon. Our…

Nuclear Theory · Physics 2010-11-08 M. Harzchi , S. Bayegan

Lattice QCD calculation of s-wave hadron scattering lengths in the channels \pi-\pi, \pi-N, K-N, {\bar K}-N and N-N is carried out in the quenched QCD at $\beta=6/g^2=5.7$. A variant of the method of wall sourceis developed for this…

High Energy Physics - Lattice · Physics 2016-08-31 M. Fukugita , Y. Kuramashi , H. Mino , M. Okawa , A. Ukawa

The anti-kaon nucleon scattering lengths resulting from a Hamiltonian effective field theory analysis of experimental data and lattice QCD studies are presented. The same Hamiltonian is then used to compute the scattering length for the…

High Energy Physics - Phenomenology · Physics 2020-07-30 Zhan-Wei Liu , Jia-Jun Wu , Derek B. Leinweber , Anthony W. Thomas
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