scholarly journals A new numerical method for inverse Laplace transforms used to obtain gluon distributions from the proton structure function

2011 ◽  
Vol 71 (11) ◽  
Author(s):  
Martin M. Block ◽  
Loyal Durand
2000 ◽  
Vol 487 (1-2) ◽  
pp. 53-73 ◽  
Author(s):  
J. Breitweg ◽  
S. Chekanov ◽  
M. Derrick ◽  
D. Krakauer ◽  
S. Magill ◽  
...  

2004 ◽  
Vol 19 (31) ◽  
pp. 5435-5442 ◽  
Author(s):  
Y. S. KIM ◽  
MARILYN E. NOZ

The energy-momentum relations for massive and massless particles are E=p2/2m and E=pc respectively. According to Einstein, these two different expressions come from the same formula [Formula: see text]. Quarks and partons are believed to be the same particles, but they have quite different properties. Are they two different manifestations of the same covariant entity as in the case of Einstein's energy-momentum relation? The answer to this question is YES. It is possible to construct harmonic oscillator wave functions which can be Lorentz-boosted. They describe quarks bound together inside hadrons. When they are boosted to an infinite-momentum frame, these wave functions exhibit all the peculiar properties of Feynman's parton picture. This formalism leads to a parton distribution corresponding to the valence quarks, with a good agreement with the experimentally observed distribution.


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