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We consider the low-energy particle-particle scattering properties in a periodic simple cubic crystal. In particular, we investigate the relation between the two-body scattering length and the energy shift experienced by the lowest-lying…

Quantum Gases · Physics 2016-05-25 Manuel Valiente , Nikolaj Thomas Zinner

In this paper, the $IJ=00, 11, 20$ partial wave $\pi\pi$ scattering phase shifts determined by the lattice QCD approach are analyzed by using a novel dispersive solution of the S-matrix, i.e. the PKU representation, in which the unitarity…

High Energy Physics - Phenomenology · Physics 2022-05-18 Xiu-Li Gao , Zhi-Hui Guo , Zhiguang Xiao , Zhi-Yong Zhou

We present a determination of nucleon-nucleon scattering phase shifts for l >= 0. The S, P, D and F phase shifts for both the spin-triplet and spin-singlet channels are computed with lattice Quantum ChromoDynamics. For l > 0, this is the…

High Energy Physics - Lattice · Physics 2016-12-28 Evan Berkowitz , Thorsten Kurth , Amy Nicholson , Balint Joo , Enrico Rinaldi , Mark Strother , Pavlos M. Vranas , Andre Walker-Loud

The algebraic approach to the phase problem for the case of X-ray scattering from an ideal crystal is extended to the case of the neutron scattering, overcoming the difficulty related to the non-positivity of the scattering density. In this…

Mathematical Physics · Physics 2007-05-23 A. Cervellino , S. Ciccariello

Meson decays are considered within the constituent quark model, making use of the dispersion formulation of the model: Starting with spacelike momentum transfers $q$, meson transition form factors are expressed as relativistic invariant…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Melikhov

We present a parameterization of the non-collinear (virtual) Compton scattering tensor in terms of form factors, in which the Lorentz tensor associated with each form factor possesses manifest electromagnetic gauge invariance. The main…

High Energy Physics - Phenomenology · Physics 2008-02-03 Wei Lu

We study the class of processes where the dynamics depends essentially on the properties of the hadron wave functions involved in the reactions. In this case the momentum dependence of the form of wave functions imposed by Lorentz…

High Energy Physics - Phenomenology · Physics 2022-01-05 Yu. A. Simonov

In this work, we discuss the scattering theory of local, relativistic quantum fields with indefinite metric. Since the results of Haag--Ruelle theory do not carry over to the case of indefinite metric, we propose an axiomatic framework for…

Mathematical Physics · Physics 2009-11-11 S. Albeverio , H. Gottschalk

The phase shift analysis for determination of the 2S1/2 resonance at 1.5 MeV was carried out on the basis of the known experimental measurements of the excitation functions of the p14C elastic scattering at four angles from 90 to 165 grad.…

Nuclear Theory · Physics 2017-11-27 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov

In this investigation, we examine how the precision of energy spectra and scattering phase shifts, extracted in lattice QCD, depend upon the degree of distillation type smearing. We use the variational method to extract energy spectra for…

High Energy Physics - Lattice · Physics 2016-12-19 Antoni J. Woss , Christopher E. Thomas

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

The scattering transform is a non-linear signal representation method based on cascaded wavelet transform magnitudes. In this paper we introduce phase scattering, a novel approach where we use phase derivatives in a scattering procedure. We…

Sound · Computer Science 2024-07-09 Daniel Haider , Peter Balazs , Nicki Holighaus

We discuss the $\mbox{M1}$ radiative transitions $D^*\rightarrow D\gamma$, $D_{s}^*\rightarrow D_s\gamma$, $B^*\rightarrow B\gamma$, and $B^*_{s}\rightarrow B_s\gamma$. A relativistic potential model is proposed. The corresponding…

High Energy Physics - Phenomenology · Physics 2025-07-30 A. E. Bondar , A. I. Milstein

The new approach for calculation of transition form factors of hydrogenlike atoms is proposed. The explicit expressions for form factors of transitions from bound $nS$-states to continuum in terms of the classical polynomials are derived

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Voskresenskaya

We present a comprehensive study of the polarization and spatial coherence properties of the lasing modes supported by a 4-fold symmetric plasmonic lattice. By modifying only, the scattering properties of the individual particles while…

We demonstrate a new approach to the analysis of extensive multi-energy data. For the case of d + He-4, we produce a phase shift analysis covering for the energy range 3 to 11 MeV. The key idea is the use of iterative perturbative…

Nuclear Theory · Physics 2008-11-26 S. G. Cooper , V. I. Kukulin , R. S. Mackintosh , E. V. Kuznetsova

In this paper, we study the scattering theory for the cubic inhomogeneous Schr\"odinger equations with inverse square potential $iu_t+\Delta u-\frac{a}{|x|^2}u=\lambda |x|^{-b}|u|^2u$ with $a>-\frac14$ and $0<b<1$ in dimension three. In the…

Analysis of PDEs · Mathematics 2021-07-27 Ying Wang

Relativistic integral representation in terms of experimental neutron-proton scattering phase shifts alone is used to compute the charge form factor of the deuteron $G_{Cd}(Q^2)$. The results of numerical calculations of $|G_{Cd}(Q^2)|$ are…

Nuclear Theory · Physics 2007-05-23 Andrei V. Afanasev , V. D. Afanasev , S. V. Trubnikov

Scattering at a central potential is completely characterized by the phase shifts which are the differences in phase between outgoing scattered and unscattered partial waves. In this letter it is shown that, for 2D scattering at a repulsive…

Mathematical Physics · Physics 2008-11-26 Holger R. Dullin , Holger Waalkens

We make use of a simple scalar diquark model to study the potential transverse momentum and potential angular momentum, defined as the difference between the Jaffe-Manohar and Ji notions of transverse momentum and orbital angular momentum,…

High Energy Physics - Phenomenology · Physics 2020-06-16 David Arturo Amor-Quiroz , Matthias Burkardt , William Focillon , Cédric Lorcé
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