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The quantitative investigation of the scalar Bethe-Salpeter equation in Minkowski space, within the ladder-approximation framework, is extended to include the excited states. This study has been carried out for an interacting system…

High Energy Physics - Phenomenology · Physics 2016-06-22 C. Gutierrez , V. Gigante , T. Frederico , G. Salmè , M. Viviani , Lauro Tomio

Background: A primary goal of deuteron electrodisintegration is the possibility of extracting the deuteron momentum distribution. This extraction is inherently fraught with difficulty, as the momentum distribution is not an observable and…

Nuclear Theory · Physics 2015-01-07 William P. Ford , Sabine Jeschonnek , J. W. Van Orden

In many quantization problems, the distortion function is given by the Euclidean metric to measure the distance of a source sample to any given reproduction point of the quantizer. We will in this work regard distortion functions, which are…

Information Theory · Computer Science 2018-11-07 Jun Guo , Philipp Walk , Hamid Jafarkhani

We present a new method to extract parton distribution functions from high energy experimental data based on a specific type of neural networks, the Self-Organizing Maps. We illustrate the features of our new procedure that are particularly…

High Energy Physics - Phenomenology · Physics 2017-08-23 K. Holcomb , S. Liuti , D. Z. Perry

Classical Principal Component Analysis (PCA) approximates data in terms of projections on a small number of orthogonal vectors. There are simple procedures to efficiently compute various functions of the data from the PCA approximation. The…

Machine Learning · Statistics 2019-07-26 Guihong Wan , Crystal Maung , Haim Schweitzer

We present parton distribution functions which include a quantitative estimate of its uncertainties. The parton distribution functions are optimized with respect to deep inelastic proton data, expressing the uncertainties as a density…

High Energy Physics - Phenomenology · Physics 2007-05-23 Walter T. Giele , Stephane A. Keller , David A. Kosower

Distribution amplitudes are functions of non-perturbative matrix elements describing the hadronization of quarks and gluons. Thanks to factorization theorems, they can be used to compute the scattering amplitude of high-energy processes.…

High Energy Physics - Lattice · Physics 2024-09-23 Benoît Blossier , Mariane Mangin-Brinet , José Manuel Morgado Chávez , Teseo San José

We perform a first calculation for the unpolarized parton distribution function of the $\Delta^+$ baryon using lattice QCD simulations within the framework of Large Momentum Effective Theory. Two ensembles of $N_f=2+1+1$ twisted mass…

The valence quark parton distribution functions (PDFs) of all ground state heavy mesons that composed of $b$ or $c$ quarks, are discussed; namely, the pseudoscalar $\eta_c(1S)$, $\eta_b(1S)$ and $B_c$, together with the corresponding vector…

High Energy Physics - Phenomenology · Physics 2026-01-01 Qian Wu , Zhu-Fang Cui , Jorge Segovia

An improved analysis method to extract quark helicity distributions in leading order (LO) QCD from semi-inclusive double spin asymmetries in deep inelastic scattering is presented. The method relies on the fact that fragmentation functions,…

Data Analysis, Statistics and Probability · Physics 2017-03-28 Jörg Pretz

We present the first lattice-QCD calculation of the pion distribution amplitude using the large- momentum effective field theory (LaMET) approach, which allows us to extract lightcone parton observables from a Euclidean lattice. The mass…

High Energy Physics - Lattice · Physics 2017-06-07 Jian-Hui Zhang , Jiunn-Wei Chen , Xiangdong Ji , Luchang Jin , Huey-Wen Lin

Within the framework of large momentum effective theory (LaMET), we propose a hard-collinear factorization formula to extract the subleading-twist $B$-meson light-cone distribution amplitude (LCDA) from the quasidistribution amplitude…

High Energy Physics - Phenomenology · Physics 2023-08-29 Shu-Man Hu , Wei Wang , Ji Xu , Shuai Zhao

The parametrization of the realistic Bethe-Salpeter amplitude for the deuteron is given. Eight components of the amplitude in the Euclidean space are presented as an analytical fit to the numerical solution of the Bethe-Salpeter equation in…

High Energy Physics - Phenomenology · Physics 2011-04-12 A. Yu. Umnikov

Transverse and longitudinal electroweak gauge boson parton distribution functions (PDFs) are computed in terms of deep-inelastic scattering structure functions, following the recently developed method to determine the photon PDF. The…

High Energy Physics - Phenomenology · Physics 2018-05-18 Bartosz Fornal , Aneesh V. Manohar , Wouter J. Waalewijn

Integral equations frequently arise in surface science, and in some cases, they must be treated as inverse problems. In our previous work on optical tweezers, atomic force microscopy, and surface force measurement apparatus, we performed…

Soft Condensed Matter · Physics 2026-01-13 Keito Hashidate , Rieko Iwayasu , Takumi Otake , Ken-ichi Amano

We exploit a method introduced recently to determine parton distribution amplitudes (PDAs) from minimal information in order to obtain light-quark pseudoscalar and vector meson PDAs from the limited number of moments produced by numerical…

A covariant field theoretical approach to deep inelastic scattering on the deuteron is presented. The deuteron structure function is calculated in terms of the Bethe-Salpeter amplitude. Numerical calculations for the nucleon contribution…

Nuclear Theory · Physics 2011-07-19 A. Yu. Umnikov , L. P. Kaptari , K. Yu. Kazakov , F. C. Khanna

In this paper, we propose a novel approach that harnesses the standard interference function, specifically tailored to address the unique challenges of non-convex optimization in wireless networks. We begin by establishing theoretical…

Information Theory · Computer Science 2025-01-23 Jan Christian Hauffen , Chee Wei Tan , Giuseppe Caire

In order to solve the Bethe-Salpeter equation (BSE) in the Minkowski space, we first introduce the Nakanishi integral representations of the Bethe-Salpeter amplitude (BSA) and the Bethe-Salpeter wave function (BSWF). We then derive the…

Nuclear Theory · Physics 2024-02-22 Shaoyang Jia

We calculate the probability (``quenching weight'') that a hard parton radiates an additional energy fraction due to scattering in spatially extended QCD matter. This study is based on an exact treatment of finite in-medium path length, it…

High Energy Physics - Phenomenology · Physics 2009-11-10 Carlos A. Salgado , Urs Achim Wiedemann