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Related papers: Forward analysis of $\pi$N scattering with an expa…

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We review our recent analysis of pion-pion scattering data in terms of Roy equations and Forward Dispersion Relations, and present some preliminary results in terms of a new set of once-subtracted coupled equations for partial waves. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Pelaez , R. Garcia-Martin , R. Kaminski , F. J. Yndurain

We describe a rearrangement of the standard expansion of the symmetry breaking part of the QCD effective Lagrangian that includes into each order additional terms which in the standard chiral perturbation theory ($\chi$PT) are relegated to…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Stern , H. Sazdjian , N. H. Fuchs

The connection between parton distributions as a function of the impact parameter and off-forward parton distributions is discussed in the limit of vanishing skewedness parameter $\xi$, i.e. when the off-forwardness is purely transverse. It…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Burkardt

Conventional approaches for scattering manipulations rely on the technique of field expansions into spherical harmonics (electromagnetic multipoles), which nevertheless is non-generic (expansion coefficients depend on the position of the…

Optics · Physics 2024-05-24 Pengxiang Wang , Yuntian Chen , Wei Liu

The NA48/2 collaboration has shown clear experimental evidence for a cusp in the data for K -> pi pi^0 pi^0. This effect can be used to extract information on the pi-pi scattering lengths. We address this issue using a two-loop dispersive…

High Energy Physics - Phenomenology · Physics 2012-01-23 Karol Kampf , Marc Knecht , Jiri Novotny , Martin Zdrahal

This study outlines a numerical methodology aimed at rectifying the neutron scattering cross-sections of fundamental elements across a range of low neutron energies typically employed in general neutron scattering experiments. By using the…

Data Analysis, Statistics and Probability · Physics 2023-09-28 Karrie E. An , Guan-Rong Huang , Changwoo Do , Wei-Ren Chen

A new parametrization of the multi-channel S-matrix is used to fit scattering data and then to locate the resonances as its poles. The S-matrix is written in terms of the corresponding "in" and "out" Jost matrices which are expanded in the…

Nuclear Theory · Physics 2016-03-08 P. Vaandrager , S. A. Rakityansky

We review some of the recent advances in the computation of one-loop scattering amplitudes which led to the construction of efficient and automated computational tools for NLO predictions. Particular attention is devoted to unitarity-based…

High Energy Physics - Phenomenology · Physics 2015-06-17 Giovanni Ossola

The 1/N_c expansion of QCD provides a valuable semiquantitative tool to study baryon scattering amplitudes and the short-lived baryon resonances embedded within them. A generalization of methods originally applied in chiral soliton models…

High Energy Physics - Phenomenology · Physics 2017-08-23 Richard F. Lebed

We present a determination of the pion-nucleon sigma-term based on a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This…

High Energy Physics - Phenomenology · Physics 2015-06-03 J. Martin Camalich , J. M. Alarcon , J. A. Oller

Small-angle X-ray and neutron scattering are widely used to investigate soft matter and biophysical systems. The experimental errors are essential when assessing how well a hypothesized model fits the data. Likewise, they are important when…

Data Analysis, Statistics and Probability · Physics 2022-04-20 Andreas Haahr Larsen , Martin Cramer Pedersen

Scattering hinders the passage of light through random media and consequently limits the usefulness of optical techniques for sensing and imaging. Thus, methods for increasing the transmission of light through such random media are of…

Optics · Physics 2014-06-23 Curtis Jin , Raj Rao Nadakuditi , Eric Michielssen , Stephen Rand

We consider the $\pi\pi$ scattering amplitude obtained by Colangelo, Gasser and Leutwyler (CGL), using dispersion relations and chiral perturbation theory to two loops. We point out that the input used by CGL for energies above 1.42 GeV is…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. J. Yndurain

We present a preliminary analysis of $I=1$ $\pi\,\pi$ scattering at the physical point. We make use of the stochastic variant of the distillation framework (also known as sLapH) to compute the relevant two-point correlation matrices using a…

High Energy Physics - Lattice · Physics 2021-12-15 Srijit Paul , Andrew D. Hanlon , Ben Hörz , Daniel Mohler , Colin Morningstar , Hartmut Wittig

We calculate the $T$-matrices of elastic pion-nucleon ($\pi N$) scattering up to fourth order in SU(3) heavy baryon chiral perturbation theory. The pertinent low-energy constants are determined by fitting to $\pi N$ phase shifts below 200…

Nuclear Theory · Physics 2020-12-03 Bo-Lin Huang

Recent theoretical and experimental advances have shed light on the existence of so-called `perfectly transmitting' wavefronts with transmission coefficients close to 1 in strongly backscattering random media. These perfectly transmitting…

Optics · Physics 2015-06-18 Curtis Jin , Raj Rao Nadakuditi , Eric Michielssen , Stephen Rand

In this paper, we present an improved parameterization of the elastic scattering of spin-0 particles, which is based on a dispersive representation for the inverse scattering amplitude. Besides being based on well known general principles,…

High Energy Physics - Phenomenology · Physics 2023-05-03 Igor Danilkin , Volodymyr Biloshytskyi , Xiu-Lei Ren , Marc Vanderhaeghen

A method is given for evaluating electromagnetic scattering by an irregular surface with spatially-varying impedance. This uses an operator expansion with respect to impedance variation and allows examination of its effects and the…

Classical Physics · Physics 2021-02-02 N. S. Basra , M. Spivack , O. Rath Spivack

We describe a method of white-beam inelastic neutron scattering for improved measurement efficiency. The method consists of matrix inversion and selective extraction. The former is to resolve each incident energy component from the…

Materials Science · Physics 2015-03-19 K. Tomiyasu , M. Matsuura , H. Kimura , K. Iwasa , K. Ohoyama , T. Yokoo , S. Itoh , E. Kudoh , T. Sato , M. Fujita

The large N_f self consistency method is applied to the computation of perturbative information in the operator product expansion used in deep inelastic scattering. The O(1/N_f) critical exponents corresponding to the anomalous dimensions…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. A. Gracey