scholarly journals Towards the three-dimensional parton structure of the pion: Integrating transverse momentum data into global QCD analysis

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
N. Y. Cao ◽  
P. C. Barry ◽  
N. Sato ◽  
W. Melnitchouk ◽  
2016 ◽  
Vol 2016 ◽  
pp. 1-19 ◽  
Author(s):  
Ya-Hui Chen ◽  
Fu-Hu Liu ◽  
Roy A. Lacey

Transverse momentum (pT) and rapidity (y) spectra ofZbosons and quarkonium states (some charmoniumcc¯mesons such asJ/ψandψ(2S)and some bottomoniumbb¯mesons such asΥ(1S),Υ(2S), andΥ(3S)) produced in proton-proton (pp) and lead-lead (Pb-Pb) collisions at the large hadron collider (LHC) are uniformly described by a hybrid model of two-component Erlang distribution forpTspectrum and two-component Gaussian distribution foryspectrum. The former distribution results from a multisource thermal model, and the latter one results from the revised Landau hydrodynamic model. The modelling results are in agreement with the experimental data measured in pp collisions at center-of-mass energiess=2.76and 7 TeV and in Pb-Pb collisions at center-of-mass energy per nucleon pairsNN=2.76 TeV. Based on the parameter values extracted frompTandyspectra, the event patterns (particle scatter plots) in two-dimensionalpT-yspace and in three-dimensional velocity space are obtained.


1973 ◽  
Vol 40 (1) ◽  
pp. 25-30 ◽  
Author(s):  
G. A. Carlson ◽  
R. W. Hornbeck

The laminar entrance flow of an incompressible viscous fluid in a square duct is analyzed numerically. Two approximate mathematical models are considered, with the more exact model including the transverse momentum equations. Finite-difference representations are developed for the equations of both models, and solutions are obtained assuming a uniform inlet velocity distribution. Results are presented for the velocity and pressure distributions in the entrance region, and comparisons made with previous analytical and experimental work. The results provide new insight into the true three-dimensional character of the flow and are more accurate than previously available solutions.


2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Ya-Hui Chen ◽  
Guo-Xing Zhang ◽  
Fu-Hu Liu

The transverse momentum and rapidity distributions of net-baryons (baryons minus antibaryons) produced in central gold-gold (Au-Au) collisions at 62.4 and 200 GeV are analyzed in the framework of a multisource thermal model. Each source in the model is described by the Tsallis statistics to extract the effective temperature and entropy index from the transverse momentum distribution. The two parameters are used as input to describe the rapidity distribution and to extract the rapidity shift and contribution ratio. Then, the four types of parameters are used to structure some scatter plots of the considered particles in some three-dimensional (3D) spaces at the stage of kinetic freeze-out, which are expected to show different characteristics for different particles and processes. The related methodology can be used in the analyses of particle production and event holography, which are useful for us to better understand the interacting mechanisms.


2007 ◽  
Vol 16 (01) ◽  
pp. 133-147 ◽  
Author(s):  
N. SUZUKI ◽  
M. BIYAJIMA

Large transverse momentum distributions of identified particles observed at the Relativistic Heavy Ion Collider (RHIC) are analyzed by a relativistic stochastic model in the three dimensional (non-Euclidean) rapidity space. A distribution function obtained from the model is Gaussian-like in radial rapidity. It can well describe observed transverse momentum pT distributions. Estimation of radial flow is made from the analysis of pT distributions for [Formula: see text] in Au + Au Collisions. Temperatures are estimated from observed large pT distributions under the assumption that the distribution function approaches to the Maxwell–Boltzmann distribution in the lower momentum limit. The power-law behavior of large pT distribution is also derived from the model.


Author(s):  
N. A. Abdulov ◽  
A. Bacchetta ◽  
S. Baranov ◽  
A. Bermudez Martinez ◽  
V. Bertone ◽  
...  

AbstractA common library, TMDlib2, for Transverse-Momentum-Dependent distributions (TMDs) and unintegrated parton distributions (uPDFs) is described, which allows for easy access of commonly used TMDs and uPDFs, providing a three-dimensional (3D) picture of the partonic structure of hadrons. The tool TMDplotter allows for web-based plotting of distributions implemented in TMDlib2, together with collinear pdfs as available in LHAPDF.


1981 ◽  
Vol 66 (2) ◽  
pp. 588-600
Author(s):  
K. Iguchi ◽  
H. Nakkagawa ◽  
A. Niegawa

1978 ◽  
Vol 144 (2-3) ◽  
pp. 422-444 ◽  
Author(s):  
K. Kajantie ◽  
J. Lindfors ◽  
Risto Raitio

2016 ◽  
Vol 40 ◽  
pp. 1660008 ◽  
Author(s):  
Zuo-Tang Liang

This is intend to provide an overview of the theory and phenomenology parts of the TMD (Transverse Momentum Dependent parton distribution and fragmentation functions) studies. By comparing with the theoretical framework that we have for the inclusive deep inelastic lepton-nucleon scattering and the one-dimensional imaging of the nucleon, I try to outline what we need to do in order to construct a comprehensive theoretical framework for semi-inclusive reactions and the three dimensional imaging of the nucleon. After that, I try to give an overview of what we have already achieved and make an outlook for the future.


1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.


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