The nonsinglet spin-dependent structure function evolution by Laplace and characteristics methods

被引：2
作者：
Boroun, G. R. [1 ]
Zarrin, S. [2 ]
Dadfar, S. [2 ]
机构：
[1] Razi Univ, Dept Phys, Kermanshah, Iran
[2] Univ Sistan & Baluchestan, Dept Phys, Zahedan, Iran
来源：
PHYSICS OF ATOMIC NUCLEI | 2016年 / 79卷 / 02期
关键词：
INELASTIC STRUCTURE FUNCTIONS; PARTON EVOLUTION; PRECISION; EQUATIONS; LHC;
D O I：
10.1134/S1063778816020034
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We evaluate the non-singlet spin-dependent structure function g (1) (NS) at leading order (LO) and next-to-leading order (NLO) by using the Laplace-transform technique and method of characteristics and also obtain its first moment at NLO. The polarized non-singlet structure function results are compared with the data from HERMES (A. Airapetian et al., Phys. Rev. D 75, 012007 (2007)) and E143 (K. Abe et al. (E143 Collab.), Phys. Rev. D 58, 112003 (1998)) at LO and NLO analyses and the first-moment the result at NLO is compared with the result of the NLO GRSV2000 fit. Considering the solution, this method is valid at low- and large-x regions.
引用
收藏
页码：236 / 242
页数：7
相关论文
共 23 条
  • [1] Abe K, 1998, PHYS REV D, V58, DOI 10.1103/PhysRevD.58.112003
  • [2] Spin asymmetries A1 and structure functions g1 of the proton and the deuteron from polarized high energy muon scattering -: art. no. 112001
    Adeva, B
    Akdogan, T
    Arik, E
    Arvidson, A
    Badelek, B
    Bardin, G
    Baum, G
    Berglund, P
    Betev, L
    Bird, IG
    Birsa, R
    Björkholm, P
    de Botton, N
    Boutemeur, M
    Bradamante, F
    Bravar, A
    Bressan, A
    Bültmann, S
    Burtin, E
    Cavata, C
    Crabb, D
    Cranshaw, J
    Cuhadar, T
    Dalla Torre, S
    van Dantzig, R
    Derro, B
    Deshpande, A
    Dhawan, S
    Dulya, C
    Dyring, A
    Eichblatt, S
    Faivre, JC
    Fasching, D
    Feinstein, F
    Fernandez, C
    Forthmann, S
    Frois, B
    Gallas, A
    Garzon, JA
    Gilly, H
    Giorgi, M
    von Goeler, E
    Goertz, S
    Golutvin, IA
    Gracia, G
    de Groot, N
    Perdekamp, MG
    Haft, K
    von Harrach, D
    Hasegawa, T
    [J]. PHYSICAL REVIEW D, 1998, 58 (11):
  • [3] Precise determination of the spin structure function g1 of the proton, deuteron, and neutron
    Airapetian, A.
    Akopov, N.
    Akopov, Z.
    Andrus, A.
    Aschenauer, E. C.
    Augustyniak, W.
    Avakian, R.
    Avetissian, A.
    Avetissian, E.
    Belostotski, S.
    Bianchi, N.
    Blok, H. P.
    Boettcher, H.
    Borissov, A.
    Borysenko, A.
    Brull, A.
    Bryzgalov, V.
    Capiluppi, M.
    Capitani, G. P.
    Ciullo, G.
    Contalbrigo, M.
    Dalpiaz, P. F.
    Deconinck, W.
    De Leo, R.
    Demey, M.
    De Nardo, L.
    De Sanctis, E.
    Devitsin, E.
    Diefenthaler, M.
    Di Nezza, P.
    Dreschler, J.
    Dueren, M.
    Ehrenfried, M.
    Elalaoui-Moulay, A.
    Elbakian, G.
    Ellinghaus, F.
    Elschenbroich, U.
    Fabbri, R.
    Fantoni, A.
    Felawka, L.
    Frullani, S.
    Funel, A.
    Gabbert, D.
    Gaerber, Y.
    Gapienko, G.
    Gapienko, V.
    Garibaldi, F.
    Garrow, K.
    Gavrilov, G.
    Gharibyan, V.
    [J]. PHYSICAL REVIEW D, 2007, 75 (01):
  • [4] Measurement of the proton spin structure function g1p with a pure hydrogen target
    Airapetian, A
    Akopov, N
    Akushevich, I
    Amarian, M
    Aschenauer, EC
    Avakian, H
    Avakian, R
    Avetissian, A
    Bains, B
    Baumgarten, C
    Beckmann, M
    Belostotski, S
    Belz, E
    Benisch, T
    Bernreuther, S
    Bianchi, N
    Blouw, J
    Böttcher, H
    Borissov, A
    Brack, J
    Brauksiepe, S
    Braun, B
    Brons, S
    Brückner, W
    Brüll, A
    Bulten, HJ
    Capitani, GP
    Carter, P
    Chumney, P
    Cisbani, E
    Court, GR
    Dalpiaz, PF
    De Leo, R
    De Sanctis, E
    De Schepper, D
    Devitsin, E
    Huberts, PKAD
    Di Nezza, P
    Düren, M
    Dvoredsky, A
    Elbakian, G
    Ely, J
    Fantoni, A
    Fechtchenko, A
    Ferstl, M
    Fick, D
    Fiedler, K
    Filippone, BW
    Fischer, H
    Fox, B
    [J]. PHYSICS LETTERS B, 1998, 442 (1-4) : 484 - 492
  • [5] Resummation of singlet parton evolution at small x
    Altarelli, G
    Ball, RD
    Forte, S
    [J]. NUCLEAR PHYSICS B, 2000, 575 (1-2) : 313 - 329
  • [6] Method of characteristics and solution of DGLAP evolution equation in leading and next to leading order at small x
    Baishya, R.
    Sarma, J. K.
    [J]. PHYSICAL REVIEW D, 2006, 74 (10)
  • [7] Evolution of spin-dependent structure functions from DGLAP equations in leading order and next to leading order
    Baishya, R.
    Jamil, U.
    Sarma, J. K.
    [J]. PHYSICAL REVIEW D, 2009, 79 (03):
  • [8] Block MM, 2010, EUR PHYS J C, V65, P1, DOI 10.1140/epjc/s10052-009-1195-8
  • [9] A QCD analysis of HERA and fixed target structure function data
    Botje, M
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2000, 14 (02): : 285 - 297
  • [10] BULTMANN SL, 1998, SLACPUB7904
123