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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

The most important parameters in the study of low-energy scattering are the s-wave and p-wave scattering lengths and the s-wave effective range. We solve the scattering problem and find two useful formulas for the scattering length and the…

Quantum Physics · Physics 2023-02-17 Jordi Pera , Jordi Boronat

We describe a new method to treat low-energy scattering problems in few-nucleon systems, and we apply it to the five-body case of neutron-alpha scattering. The method allows precise calculations of low-lying resonances and their widths. We…

Nuclear Theory · Physics 2008-11-26 Kenneth M. Nollett , Steven C. Pieper , R. B. Wiringa , J. Carlson , G. M. Hale

We present a new, mathematically rigorous, method suitable for bound state and scattering processes calculations for various three atomic or molecular systems where the underlying forces are of a hard-core nature. We employed this method to…

Chemical Physics · Physics 2007-05-23 E. A. Kolganova , A. K. Motovilov , S. A. Sofianos

We investigate the possibility of calculating the parameters of few-body resonances using the oscillator trap boundary conditions. We place the few-body system in an oscillator trap and calculate the energy spectrum and the strength…

Nuclear Theory · Physics 2009-07-17 D. V. Fedorov , A. S. Jensen , M. Thøgersen

We present a method to calculate neutron scattering cross sections for deformed nuclei using many--body wavefunctions described with multiple reference states. Nuclear states are calculated with the generator coordinate method using a low…

Nuclear Theory · Physics 2025-09-08 J. Boström , J. Rotureau , B. G. Carlsson , A. Idini

A method using an expansion of the four-body Yakubovsky wave function components onto the basis of the Faddeev-equation solutions for the two-cluster sub-Hamiltonian eigenfunctions is exploited for computations of low-energy scattering…

Nuclear Theory · Physics 2011-04-15 S. L. Yakovlev , I. N. Filikhin

Compact algebraic equations are derived, which connect the binding energy and the asymptotic normalization constant (ANC) of a subthreshold bound state with the effective-range expansion of the corresponding partial wave. These relations…

Nuclear Theory · Physics 2010-04-06 Jean-Marc Sparenberg , Pierre Capel , Daniel Baye

A method is described for estimating effective scattering lengths via spectroscopy on a trapped pair of atoms. The method relies on the phenomena that the energy levels of two atoms in a harmonic trap are shifted by their collisional…

Quantum Physics · Physics 2009-11-11 S. Shresta , E. Tiesinga , C. J. Williams

The scattering lengths and effective ranges that describe low-energy nucleon-nucleon scattering are calculated in the limit of SU(3)-flavor symmetry at the physical strange-quark mass with Lattice Quantum Chromodynamics. The calculations…

High Energy Physics - Lattice · Physics 2013-08-28 S. R. Beane , E. Chang , S. D. Cohen , W. Detmold , P. Junnarkar , H. W. Lin , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Walker-Loud

The scattering of two and more particles at low energies is described by the so called effective-range expansion. The leading terms of this expansion are the scattering length and effective range. The analytic expressions for both of the…

Nuclear Theory · Physics 2021-10-06 Evgeny Z. Liverts

Scattering processes are a fundamental way of experimentally probing distributions and properties of systems in several areas of physics. Considering two-body scattering at low energies, when the de Broglie wavelength is larger than the…

Quantum Physics · Physics 2023-08-01 Mathias Macêdo-Lima , Lucas Madeira

We review the relevance of neutrino-nucleus interactions at energy transfers below 100 MeV for accelerator-based experiments, experiments at lower energies and for astrophysical neutrinos. The impact of low-energy scattering processes in…

Nuclear Theory · Physics 2019-08-07 Natalie Jachowicz , Nils Van Dessel , Alexis Nikolakopoulos

The new generation of multi-PetaWatt laser facilities will allow tests of Strong Field QED, as well as provide an opportunity for novel photon and lepton sources. The first experiments are planned to study the (nearly) head-on scattering of…

Plasma Physics · Physics 2024-02-27 Óscar Amaro , Marija Vranic

We present a method of studying few-body nuclear scattering by means of neural quantum states, without requiring time-evolution. A recently developed family of stable minimum principles for Schrodinger's equation provides conservative…

Nuclear Theory · Physics 2026-05-29 Scott Lawrence , Yukari Yamauchi

A method for solving few-body scattering equations is proposed and examined. The solution of the scattering equations at complex energies is analytically continued to get scattering T-matrix with real positive energy. Numerical examples…

Nuclear Theory · Physics 2009-11-10 H. Kamada , Y. Koike , W. Gloeckle

The energy spectrum of two short-range interacting particles in a harmonic potential trap has previously been related to free-space scattering phase shifts. But the existing formula for this purpose is exact only in the limit of an…

Nuclear Theory · Physics 2020-05-20 Xilin Zhang

We present the first ab initio calculation at physical quark masses of scattering amplitudes describing the lightest pseudoscalar mesons interacting via the strong force in the vector channel. Using lattice quantum chromodynamics, we…

The scattering amplitude of the pion-nucleon elastic scattering is calculated by the lowest-order approximation of the perturbative expansion with the non-perturbative term. The self-energy of nucleon is determined so as to give the…

Nuclear Theory · Physics 2022-04-22 Susumu Kinpara

A method combining the Lagrange-mesh and the complex Kohn variational methods is developed for computing the $\mathcal{S}$ matrix of a 2$+$1 elastic scattering in the frame of three-body Coulomb systems. Resonance parameters can be obtained…

Quantum Physics · Physics 2024-05-28 Jean Servais , Jérémy Dohet-Eraly
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