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Parametrization of nuclear parton distributions

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1 Parametrization of nuclear parton distributions
Shunzo Kumano Saga University Collaborators: M. Hirai (Saga), M. Miyama (Tokyo) Ref. SAGA-HE-170, to be submitted International Symposium on Nuclear Physics Mumbai, India, Dec , 2000 Dec. 20, 2000

2 - 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

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4 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)

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

6 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.

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

8 Convolution

9 Parametrization of nuclear parton distributions without relying on models!

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

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14 7 parameters for 309 data points

15 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

16 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; (1998) 38; 111 (1998) 150. Evolution programs could be obtained upon request. See

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18 Analysis results

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21 Obtained F2A/F2D

22 2 contributions * next figs *

23 Example of 2 contributions

24 Weight functions wi(x,A)

25 Errors in the weight functions

26 Obtained parton distributions

27 Summary


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