منابع مشابه
Numerical Solution of Altarelli-Parisi Equations
We discuss numerical solution of Altarelli-Parisi equations in a Laguerre-polynomial method and in a brute-force method. In the Laguerre method, we get good accuracy by taking about twenty Laguerre polynomials in the flavor-nonsinglet case. Excellent evolution results are obtained in the singlet case by taking only ten Laguerre polynomials. The accuracy becomes slightly worse in the small and l...
متن کاملQuantum statistics and Altarelli-Parisi evolution equations
The phenomenological evidence of quantum statistical effects in parton physics is here briefly summarized, and the recent good results obtained by parameterizing the parton distributions in terms of Fermi-Dirac and Bose-Einstein statistical functions are discussed. In this framework we study the modification of the scaling behaviour of parton distributions due to quantum statistical effects. In...
متن کاملFORTRAN program for a numerical solution of the nonsinglet Altarelli - Parisi equation
We investigate a numerical solution of the flavor-nonsinglet Altarelli-Parisi equation with next-to-leading-order α s corrections by using Laguerre polynomials. Expanding a structure function (or a quark distribution) and a splitting function by the Laguerre polynomials, we reduce an integrodifferential equation to a summation of finite number of Laguerre coefficients. We provide a FORTRAN prog...
متن کاملNonperturbative contribution to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi and Gribov-Levin-Ryskin equation
By studying the nonperturbative contribution to the Dokshitzer-Gribov-LipatovAltarelli-Parisi and Gribov-Levin-Ryskin equation, it is found that (i) the nonperturbative contribution suppresses the evolution rate at the low Q2, small-x region; (ii) the nonperturbative contribution weakens the shadowing effect. The method in this paper suggests a smooth transition from the low Q2 (”soft” ), where...
متن کاملA Semianalytical Method to Solve Altarelli-parisi Evolution Equations
We discuss a new method to solve in a semianalytical way the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at NLO order in the x-space. The method allows to construct an evolution operator expressed in form of a rapidly convergent series of matrices, depending only on the splitting functions. This operator, acting on a generic initial distribution, provides a very accurate solu...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1981
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.65.1408