Parametrization of nuclear parton distributions

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Presentation transcript:

Parametrization of nuclear parton distributions Shunzo Kumano Saga University Collaborators: M. Hirai (Saga), M. Miyama (Tokyo) Ref. SAGA-HE-170, to be submitted kumanos@cc.saga-u.ac.jp http://www-hs.phys.saga-u.ac.jp International Symposium on Nuclear Physics Mumbai, India, Dec. 18-22, 2000 Dec. 20, 2000

- Contents - Introduction parton distributions in the nucleon parton distributions in nuclei EMC effect, shadowing Parametrization of nuclear parton distributions 1. functional form of fiA(x) 2. constraints: A dependence, conservation laws 3. 2 fitting to experimental data 4. results: optimum nuclear parton distributions Summary 

Current status on unpolarized distributions in the nucleon Parton distributions are determined by fitting various experimental data. electron/muon neutrino Drell-Yan direct photon ... (1) (3) (2)

Available data for determining parton distributions (Ref. MRST, hep/ph-9803445)

Recent unpolarized distributions CTEQ5, Eur. Phys. J. C12 (2000) 375 GRV98, Eur. Phys. J. C5 (1998) 461 MRST99, Eur. Phys. J. C14 (2000) 133 Unpolarized distributions are well known in the nucleon.

parton distributions in nuclei Nuclear modification of F2A / F2D is well known in electron/muon scattering. Fermi motion shadowing original EMC finding (binding, subnucleon?)

Convolution

Parametrization of nuclear parton distributions without relying on models!

 

A dependence  “surface” “volume” R= r0A1/3 Ref. I. Sick and D. Day, Phys. Lett. B 274 (1992)  R= r0A1/3 “surface” “volume”

7 parameters for 309 data points

x Experimental data on F2A/F2D Q2 (GeV2) NMC: He, Li, C, Ca SLAC: He, Be, C, Al, Ca, Fe, Ag, Au EMC: C, Ca, Cu, Sn E665: C, Ca, Xe, Pb BCDMS: N, Fe Q2 (GeV2) x

DGLAP Q2 evolution equation x  divided into Nx step  t (=lnQ2)  divided into Nt step See our studies in Comput. Phys. Commu. 94 (1996) 185; 108 (1998) 38; 111 (1998) 150. Evolution programs could be obtained upon request. See http://www-hs.phys.saga-u.ac.jp/program.html.

Analysis results

Obtained F2A/F2D

2 contributions * next figs *

Example of 2 contributions

Weight functions wi(x,A)

Errors in the weight functions

Obtained parton distributions

Summary