Simona Malace University of South Carolina

Transcription

1 Simoa Malace Uiversity of South Carolia i collaboratio with Y. Kah, W. Melitchouk, S.A. Kulagi, C. Keppel MENU010, May 31 Jue 4, 010 Williamsburg, VA

2 Outlie New metho : etract from uclear Applicatio of metho to smooth curves Y. Kah, W. Melitchouk, S.A. Kulagi, Phys. Rev. C 79, Applicatio of metho to ata resoace regio + Quark- Haro Duality i structure fuctio S.P. Malace, Y. Kah, W. Melitchouk, C. Keppel, Phys. Rev. Lett o Applicatio of metho to ata: a lot of techical etails S.P. Malace, Y. Kah, W. Melitchouk, i preparatio

3 Etractio of from Nuclear New metho : employs iterative proceure of solvig itegral covolutio equatios Y. Kah, W. Melitchouk, S.A. Kulagi, Phys. Rev. C 79, Impulse Approimatio virtual photo scatters icoheretly from iiviual ucleos Beyo IA: SI ot aresse i preset aalysis A M / M A N / A N, Q y f0 y,, y Q uclear N p, light-coe mometum ucleo istributio of ucleos i ucleus smearig fuctio 1 4M Applicatio to Deuterium Q

4 Smearig uctio for Smearig fuctio evaluate i the weak biig approimatio, icluig fiite-q correctios S.A. Kulagi a R. Petti, Nucl. Phys. A 765, Y. Kah, W. Melitchouk, S.A. Kulagi, Phys. Rev. C 79, M Q

5 Etractio Metho M M p p off p y y f y, ~, ~ ~,, We ee from: p off QE ~ ~ Aitive etractio metho: solve equatio iteratively, 1, y f y y f ormalizatio of smearig fuctio fiite with of smearig fuctio M M y y f y, ~ perturbatio M M y y f y, ~ iitial guess Y. Kah, W. Melitchouk, S.A. Kulagi, Phys. Rev. C 79,

6 Applicatio of Metho to Smooth Curves Mootoic curves: p a iput from MRST; is simulate usig the fiite-q smearig fuctio Aitive metho applie with iitial guess 0 = 0 Q =10 GeV Y. Kah, W. Melitchouk, S.A. Kulagi, Phys. Rev. C 79, ast covergece: etracte 1 almost iistiguishable from iput after oly 1 iteratio smearig fuctio sharply peake arou y = 1

7 Applicatio of Metho to Smooth Curves Curves with resoat structures: iput from MAID Aitive metho applie with iitial guess 0 = 0 Q =1 GeV Y. Kah, W. Melitchouk, S.A. Kulagi, Phys. Rev. C 79, After 1 or iteratios: resoat peaks clearly visible; after 5 iteratios etracte result very close to true result

8 Applicatio of Metho to Smooth Curves Essetial to take ito accout Q effects i the smearig fuctio Aitive metho 0 = 0: a Q -epeet smearig fuctio Aitive metho 0 = 0: Q -iepeet smearig fuctio Q =1 GeV Y. Kah, W. Melitchouk, S.A. Kulagi, Phys. Rev. C 79, After 10 iteratios: etractio with Q -epeet smearig fuctio coverges to the iput; etractio with Q -iepeet smearig fuctio oes ot

9 Applicatio of Metho to Data Use proto a eutero ata at fie Q matche kiematics ~ QE off shell ~ p ata ata Data: SLAC at Q = 0.6, 0.9, 1.7,.4 GeV + ata from Jlab Hall C E at Q = 4.5, 5, 5.5, 6., 6.4 GeV Data take at fie agle a ruig mometum of scattere electro => ruig a Q Bi-ceterig at cross sectio level usig ifferet moels => ata at fie Q S.P. Malace, Y. Kah, W. Melitchouk, C. Keppel, Phys. Rev. Lett quasielastic peak sample

10 Applicatio of Metho to Data moel ~ QE off shell ~ p ata ata moel QE cotributio etracte from ata usig moel form factors + same smearig fuctio as for etractio Off-shell correctios: upper limit from moel ~1.5%; we subtract ½ of moel preictio a assig 100% ucertaity to correctio => cotributes < % to total ucertaity o S.P. Malace, Y. Kah, W. Melitchouk, C. Keppel, Phys. Rev. Lett

11 Applicatio of Metho to Data etractio: iitial guess 0 = p ; umber of iteratios = i resoace regio: 3 resoat ehacemets fall with Q at ~ rate as for p recostructe from p ata a etractio ~ ata after iteratios S.P. Malace, Y. Kah, W. Melitchouk, C. Keppel, Phys. Rev. Lett

12 Applicatio of Metho to Data recostructe from p ata a etractio ~ ata after iteratios or all Q stuie: recostructe i agreemet with ata withi eperimetal ucertaities Agreemet betwee recostructe a ata slightly worses at the very large > 0.9 S.P. Malace, Y. Kah, W. Melitchouk, i preparatio

13 Applicatio of Metho to Data Stuy epeece of result o umber of iteratios: compare etractios with a 3 iteratios it. it. 3 / Small chage i betwee iteratio a 3 Etracte chages to brig recostructe closer to ata; small iffereces betwee it. a 3 ata reco./ ata reco., it.= reco., it.=3 it. it. 3 / S.P. Malace, Y. Kah, W. Melitchouk, i preparatio

14 Applicatio of Metho to Data Stuy epeece of result o iitial guess 0 : compare etracte with ifferet iputs for iitial guess: 0 = p vs 0 = p / After iteratios: oly 6% of all ata lay outsie a rage Eercise cautio with umber of iteratios: irregularities i ata especially euterium result i icrease scattere i with icreasig umber of iteratios S.P. Malace, Y. Kah, W. Melitchouk, i preparatio 0 p 0 p [ / ] / it. i it. j /

15 Quark-Haro Duality i the Neutro Structure uctio Compariso: ata to ALEKHIN PD fits with W > 3.4 GeV M m, ata, Q M m, param, Q W : GeV a 3 r RES regios: agreemet withi 15-0%, o average 1 st RES regio: agreemet worses at the highest Q correspos to the largest W : GeV W : GeV globally remarkable agreemet: withi 10% S.P. Malace, Y. Kah, W. Melitchouk, C. Keppel, Phys. Rev. Lett

16 Quark-Haro Duality Establishe i p from Q ~ 1 to Q ~ 7 GeV Now ackowlege i ata QCD Alekhi proto eutro S.P. Malace et al., Phys. Rev. C S.P. Malace, Y. Kah, W. Melitchouk, C. Keppel, Phys. Rev. Lett. 104, Cofirmatio of uality i both proto a eutro => pheomeo ot accietal but a geeral property of ucleo structure fuctios => use it to access the large- regio

17 m /p Ratio of eutro to proto trucate momets: compare ata to ALEKHIN a MSTW M M p, Q, Q m S.P. Malace, Y. Kah, W. Melitchouk, C. Keppel, Phys. Rev. Lett

18 Summary We etracte from proto a eutero i resoace regio Quark-Haro Duality i the Neutro Structure uctio: comparisos of trucate momets from ata to those from QCD globally W < 4 GeV remarkable agreemet: withi 10% locally: W : GeV a 3 r W : GeV RES regios, agreemet withi 15-0%, o average; 1 st W : GeV RES regio, agreemet worses at the highest Q correspos to the largest Cofirmatio of uality i the eutro alreay cofirme for proto => pheomeo is a geeral property of structure fuctios Ca be use to access the large- regio Detaile iscussio of etractio metho applicatio to ata i upcomig paper