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The real and imaginary part of the quartet S wave phase shift in nd scattering (^4 S_{3/2}) for centre-of-mass momenta of up to 300 MeV (E_cm \approx 70 MeV) is presented in effective field theory, using both perturbative pions and a theory…

Nuclear Theory · Physics 2009-10-31 Paulo F. Bedaque , Harald W. Griesshammer

When utilizing a cluster decomposible relativistic scattering formalism, it is most convenient that the covariant field equations take on a linear form with respect to the energy and momentum dispersion on the fields in the manner given by…

Mathematical Physics · Physics 2007-05-23 James Lindesay

In one dimension one can dissect a scattering potential $ v(x) $ into pieces $ v_i(x) $ and use the notion of the transfer matrix to determine the scattering content of $ v(x) $ from that of $ v_i(x) $. This observation has numerous…

Quantum Physics · Physics 2016-05-05 Farhang Loran , Ali Mostafazadeh

The restriction imposed on the J-matrix method of using specific L2 bases is lifted without compromising any of the advantages that it offers. This opens the door to a wider range of application of the method to physical problems beyond the…

Atomic Physics · Physics 2009-11-07 H. A. Yamani , A. D. Alhaidari , M. S. Abdelmonem

We introduce a new method to construct, within inverse-scattering theory, an energy-independent separable potential capable of reproducing exactly both phase shift and absorption over a predefined energy range. The approach relies on the…

Nuclear Theory · Physics 2024-08-29 H. F. Arellano , N. A. Adriazola

With the aid of an improved short-range approximation, the bound state energies and the scattering phase shifts for a Hulth\'en- type potential plus Yukawa potential are calculated within the framework of Nikiforov-Uvarov and standard…

Quantum Physics · Physics 2016-06-09 Kayode John Oyewumi , Oluwatimilehin Joshua Oluwadare

We study the theory of scattering for a class of Hartree type equations with long range interactions in space dimension n > 2, including Hartree equations with potential V(x) = lambda |x|^{- gamma}. For 0 < gamma < or =1 we prove the…

Analysis of PDEs · Mathematics 2009-10-31 J. Ginibre , G. Velo

In this paper, we elaborate on a method to decompose multiloop multileg scattering amplitudes into Lorentz-invariant form factors, which exploits the simplifications that arise from considering four-dimensional external states. We propose a…

High Energy Physics - Phenomenology · Physics 2021-05-21 Tiziano Peraro , Lorenzo Tancredi

When utilizing a cluster decomposible relativistic scattering formalism, it is most convenient that the covariant field equations take on a linear form with respect to the energy and momentum dispersion on the fields in the manner given by…

Mathematical Physics · Physics 2007-05-23 James Lindesay

This work shows that notable acceleration of the speed of calculating Chandrasekhar's H-functions for general laws of scattering with an iterative method can be realized by supplying a starting pproximation produced by the following…

Instrumentation and Methods for Astrophysics · Physics 2017-01-10 Kiyoshi Kawabata

A novel efficient method to calculate the scattering matrix (SM) of arbitrary tight-binding Hamiltonians is proposed, including cases with multiterminal structures. In particular, the SM of two kind of fundamental structures are given,…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Carlos Ramirez , Luis A. Medina-Amayo

Central idea: To obtain the interaction potential using the inverse scattering method, we have employed the Physics-Informed Machine Learning (PIML) approach. In this framework, the machine learning algorithm is guided by the underlying…

Elastic electron scattering off $^3$He and $^4$He has recently been studied at forward and backward scattering angles in Hall A at JLab. The results will provide accurate data on the elastic form factors, charge and magnetic for $^3$He and…

Nuclear Experiment · Physics 2009-01-16 Kees de Jager

Electric form factors of $S$-wave charmed baryons are calculated within the relativistic quark model in the region of low and intermediate momentum transfers, $Q^2 \le 1 GeV^2$. The charge radii of low-lying charmed baryons are determined.

High Energy Physics - Phenomenology · Physics 2007-11-13 S. M. Gerasyuta , E. E. Matskevich

We introduce a general and accurate method for determining lattice phase shifts and mixing angles, which is applicable to arbitrary, non-cubic lattices. Our method combines angular momentum projection, spherical wall boundaries and an…

Nuclear Theory · Physics 2016-07-19 Bing-Nan Lu , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

We calculate the lambda-nucleon scattering phase shifts and mixing angles by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. Scattering amplitudes are…

Nuclear Theory · Physics 2020-03-18 X. -L. Ren , E. Epelbaum , J. Gegelia

We present a lattice QCD study of the phase shift of $I{=}2$ $\pi\pi$ scattering on the basis of two different approaches: the standard finite volume approach by Luscher and the recently introduced HAL QCD potential method. Quenched QCD…

High Energy Physics - Lattice · Physics 2013-12-06 T. Kurth , N. Ishii , T. Doi , S. Aoki , T. Hatsuda

We show that information about scattering data of a quantum field theory can be obtained from studying the system at finite density and low temperatures. In particular we consider models formulated on the lattice which can be exactly…

High Energy Physics - Lattice · Physics 2015-12-16 Falk Bruckmann , Christof Gattringer , Thomas Kloiber , Tin Sulejmanpasic

We present a numerically efficient and accurate Multiple Scattering formalism, which is a generalization of the Multiple Scattering method with a truncated basis set [X. -G. Zhang and W. H. Butler, Phys. Rev. B 46,7433 (1992)]. Compared to…

Quantum Physics · Physics 2016-05-03 Junqing Xu , Keisuke Hatada , Didier Sébilleau , Li Song

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze
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