On solutions of the Balitsky-Kovchegov equation with impact parameter

被引:139
作者
Golec-Biernat, K
Stasto, AM
机构
[1] Inst Nucl Phys, Krakow, Poland
[2] DESY, Div Theory, D-22603 Hamburg, Germany
关键词
D O I
10.1016/j.nuclphysb.2003.07.011
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We numerically analyze the Balitsky-Kovchegov equation with the full dependence on impact parameter b. We show that due to a particular b-dependence of the initial condition the amplitude decreases for large dipole sizes r. Thus the region of saturation has a finite extension in the dipole size r, and its width increases with rapidity. We also calculate the b-dependent saturation scale and discuss limitations on geometric scaling. We demonstrate the instant emergence of the power-like tail in impact parameter, which is due to the long range contributions. Thus the resulting cross section violates the Froissart bound despite the presence of a nonlinear term responsible for saturation. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:345 / 363
页数:19
相关论文
共 81 条
[1]   MEASUREMENT OF THE PROTON STRUCTURE-FUNCTION F2(CHI,Q2) IN THE LOW-CHI REGION AT HERA [J].
ABT, I ;
AHMED, T ;
ANDREEV, V ;
ANDRIEU, B ;
APPUHN, RD ;
ARPAGAUS, M ;
BABAEV, A ;
BARWOLFF, H ;
BAN, J ;
BARANOV, P ;
BARRELET, E ;
BARTEL, W ;
BASSLER, U ;
BECK, HP ;
BEHREND, HJ ;
BELOUSOV, A ;
BERGER, C ;
BERGSTEIN, H ;
BERNARDI, G ;
BERNET, R ;
BERTRANDCOREMANS, G ;
BESANCON, M ;
BIDDULPH, P ;
BINDER, E ;
BISCHOFF, A ;
BIZOT, JC ;
BLOBEL, V ;
BORRAS, K ;
BOSETTI, PC ;
BOUDRY, V ;
BOURDARIOS, C ;
BRASSE, F ;
BRAUN, U ;
BRAUNSCHWEIG, W ;
BRISSON, V ;
BRUNCKO, D ;
BUNGENER, L ;
BURGER, J ;
BUSSER, FW ;
BUNIATIAN, A ;
BURKE, S ;
BUSCHHORN, G ;
CAMPBELL, AJ ;
CARLI, T ;
CHARLES, F ;
CLARKE, D ;
CLEGG, AB ;
COLOMBO, M ;
COUGHLAN, JA ;
COURAU, A .
NUCLEAR PHYSICS B, 1993, 407 (03) :515-535
[2]  
ABT I, 1996, NUCL PHYS B, V470, P3
[3]  
Adloff C, 2001, EUR PHYS J C, V21, P33, DOI 10.1007/s100520100720
[4]  
Adloff C, 2000, EUR PHYS J C, V13, P609, DOI [10.1007/s100520050721, 10.1007/s100520000316]
[5]   Measurement of charged particle transverse momentum spectra in deep inelastic scattering [J].
Adloff, C ;
Aid, S ;
Anderson, M ;
Andreev, V ;
Andrieu, B ;
Babaev, A ;
Bahr, J ;
Ban, J ;
Ban, Y ;
Baranov, P ;
Barrelet, E ;
Barschke, R ;
Bartel, W ;
Barth, M ;
Bassler, U ;
Beck, HP ;
Beck, M ;
Behrend, HJ ;
Belousov, A ;
Berger, C ;
Bernardi, G ;
BertrandCoremans, G ;
Besancon, M ;
Beyer, R ;
Biddulph, P ;
Bispham, P ;
Bizot, JC ;
Blobel, V ;
Borras, K ;
Botterweck, F ;
Boudry, V ;
Braemer, A ;
Braunschweig, W ;
Brisson, V ;
Bruckner, W ;
Bruel, P ;
Bruncko, D ;
Brune, C ;
Buchholz, R ;
Bungener, L ;
Burger, J ;
Busser, FW ;
Buniatian, A ;
Burke, S ;
Burton, MJ ;
Calvet, D ;
Campbell, AJ ;
Carli, T ;
Charlet, M ;
Clarke, D .
NUCLEAR PHYSICS B, 1997, 485 (1-2) :3-22
[6]   Parton densities and dipole cross-sections at small x in large nuclei [J].
Armesto, N ;
Braun, MA .
EUROPEAN PHYSICAL JOURNAL C, 2001, 20 (03) :517-522
[7]   Factorization for high-energy scattering [J].
Balitsky, I .
PHYSICAL REVIEW LETTERS, 1998, 81 (10) :2024-2027
[8]   Factorization and high-energy effective action [J].
Balitsky, I .
PHYSICAL REVIEW D, 1999, 60 (01)
[9]   Operator expansion for high-energy scattering [J].
Balitsky, I .
NUCLEAR PHYSICS B, 1996, 463 (01) :99-157
[10]   Effective field theory for the small-x evolution [J].
Balitsky, I .
PHYSICS LETTERS B, 2001, 518 (3-4) :235-242