scholarly journals Quark-jet contribution to the fragmentation functions for the pion and kaon with the nonlocal interactions

2013 ◽  
Vol 87 (9) ◽  
Author(s):  
Dong-Jing Yang ◽  
Fu-Jiun Jiang ◽  
Chung-Wen Kao ◽  
Seung-il Nam
Keyword(s):  
Nonlocal Interactions ◽  
Fragmentation Functions

scholarly journals Probing quark fragmentation functions for baryon production in unpolarized e+e− annihilation

1995 ◽  
Vol 445 (2-3) ◽  
pp. 380-396 ◽  
Author(s):  
Kun Chen ◽  
Gary R. Goldstein ◽  
R.L. Jaffe ◽  
Xiangdong Ji
Keyword(s):  
Baryon Production ◽  
Quark Fragmentation ◽  
Fragmentation Functions

scholarly journals An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems

2020 ◽  
Vol 54 (4) ◽  
pp. 1373-1413 ◽  
Author(s):  
Huaiqian You ◽  
XinYang Lu ◽  
Nathaniel Task ◽  
Yue Yu
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Nonlocal Boundary ◽  
Nonlocal Diffusion ◽  
Order Convergence ◽  
Flux Boundary Condition ◽  
Nonlocal Interactions ◽  
Local Case ◽  
Neumann Type ◽  
Type Boundary

In this paper we consider 2D nonlocal diffusion models with a finite nonlocal horizon parameter δ characterizing the range of nonlocal interactions, and consider the treatment of Neumann-like boundary conditions that have proven challenging for discretizations of nonlocal models. We propose a new generalization of classical local Neumann conditions by converting the local flux to a correction term in the nonlocal model, which provides an estimate for the nonlocal interactions of each point with points outside the domain. While existing 2D nonlocal flux boundary conditions have been shown to exhibit at most first order convergence to the local counter part as δ → 0, the proposed Neumann-type boundary formulation recovers the local case as O(δ2) in the L∞ (Ω) norm, which is optimal considering the O(δ2) convergence of the nonlocal equation to its local limit away from the boundary. We analyze the application of this new boundary treatment to the nonlocal diffusion problem, and present conditions under which the solution of the nonlocal boundary value problem converges to the solution of the corresponding local Neumann problem as the horizon is reduced. To demonstrate the applicability of this nonlocal flux boundary condition to more complicated scenarios, we extend the approach to less regular domains, numerically verifying that we preserve second-order convergence for non-convex domains with corners. Based on the new formulation for nonlocal boundary condition, we develop an asymptotically compatible meshfree discretization, obtaining a solution to the nonlocal diffusion equation with mixed boundary conditions that converges with O(δ2) convergence.

scholarly journals Quench Dynamics of a Fermi Gas with Strong Nonlocal Interactions

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Elmer Guardado-Sanchez ◽  
Benjamin M. Spar ◽  
Peter Schauss ◽  
Ron Belyansky ◽  
Jeremy T. Young ◽  
...  
Keyword(s):  
Fermi Gas ◽  
Nonlocal Interactions ◽  
Quench Dynamics

One-particle fragmentation functions in the massless Schwinger model

1994 ◽  
Vol 326 (1-2) ◽  
pp. 154-160 ◽  
Author(s):  
Jun Liu ◽  
Cheuk-Yin Wong ◽  
Chia C. Shih ◽  
Ren Chuan Wang
Keyword(s):  
Schwinger Model ◽  
Particle Fragmentation ◽  
Fragmentation Functions

BESSEL-WEIGHTED ASYMMETRIES AND TRANSVERSE SPIN EFFECTS

2012 ◽  
Vol 20 ◽  
pp. 168-176
Author(s):  
LEONARD GAMBERG
Keyword(s):  
Transverse Momentum ◽  
Cross Section ◽  
Parton Distribution ◽  
Evolution Equations ◽  
Distribution Functions ◽  
Transverse Spin ◽  
High Transverse Momentum ◽  
Transverse Momentum Dependent ◽  
Fragmentation Functions ◽  
The Cross

We consider the cross section for semi-inclusive deep inelastic scattering in Fourier space, conjugate to the outgoing hadron's transverse momentum, where convolutions of transverse momentum dependent parton distribution functions and fragmentation functions become simple products. Individual asymmetric terms in the cross section can be projected out by means of a generalized set of weights involving Bessel functions. Advantages of employing these Bessel weights are that they suppress (divergent) contributions from high transverse momentum and that soft factors cancel in (Bessel-) weighted asymmetries. Also, the resulting compact expressions immediately connect to previous work on evolution equations for transverse momentum dependent parton distribution and fragmentation functions and to quantities accessible in lattice QCD. Bessel-weighted asymmetries are thus model independent observables that augment the description and our understanding of correlations of spin and momentum in nucleon structure.

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