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nOAI1MCaQ 8 nelilTI 2Q J0 RS OQpaT 60olC9D16 ~CeTH~ rae) Y - HlA 1lM(TOI CII

r p 55~ 3113 1f1H 71)

HlAiJTen I(toU OTAen 06loeAH eHHoro HHC lot T) 4J AepHW)( ICUCQOlolttHH

ny6Ma KoCKOC~ oanC1H

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E 1middot115middot U7

MESlIREMENT OF Nl lCLEAR EFFEcrs

IN I)EEI INELASTIC MU()N S(ATTERING

01 HETEIIIl i IITROGEN

ANI) HUN TiIHWrS

II4 UI1S 1 lllIhrlll

Su lll iltl1 1 11 llllv i I Ilttfs S

1985

~-

GBari AC Bcnvcnuti Onollin i~ GBruni TCampor csi G Heiman L Honari l rL Navarria Dipartimento d i Fisica dell t Uni ve r sita and TNFN t Anlagnn t I ltl l y

AArgento J Cvach1 K Deirers J bull l -DNowakJ LPiPmCtnte5c4 bull

1VcressS RVoss CERN GeDev~ Switzerland

NGFadeev IAGolutvin~ MYu Kn7ari nov YuTKiryush i n VGKrivokhizhin VVKukht i n WLohmann SNclIlefek PRfoimfr lASavin GISmirnov JStrac ho tJ G Sul t1nov P Todorov AGVoJolt1ko Joi n t Ins t i Cute for Nuc Ipl r Research Duhn-j

nJ 1lDnik6 RKopp U~cyer-Berkh(JuL K - tTLichl middotr R Tiflmiddotr AStaud~ CZup8n~i~ Sclion Physik der Un i vlrsit~t 1iindlPn Ft(hmiddot r 1 1~Ipubl i of GHmnny7

M Cribier J Fe 1te~sc A ~H l S7(1 in I 1 Ourmiddotll rtllt IlI r HI UI i 111 YSacquin GSmadja GVeszltmiddotrrnml 1$ ttViTtmiddotLIlU CEN s~ctay France

Deceased 2 No a[ ln~ t i tute of lhysic~ CSAV Prague I Czechoslovakia 3 On leave [rom Inatitut fUr Hoc hene rgiephysik der ADH Bcr l inshy

Zeuthen DOR 4 Now at INFN Trieste Italy $ On l euve f rom Centra 1 REselTrh lnst i tute fea Phy i cs

Budapest Hunnary 6 On leave from PK1rd Clj University and the JStcf~n TnSl itute

[jub l jana Yu~oslvvill

7 SUPIOT middotd hy BMFT

fur several year s the re has been incresing exper imenta l evi dence that the structure of a f r ee nuc l eon is different from t he on( o f a nucleon ~mbed eu in a ltuc l e us I ndications fo r this effect were f irst observed 1 in a compari son o f deep int l astic scattering da ta f r om hydrogen deuter i um and iron t a r gp r R Tllcasured by t he SLAG-MlT Jnel El-tr e x ~e r imellts A f irs l meMWreshymeot ~a~ presentc~ by [h~ EMe collabo r at ion in 1982 ~ Their experiment compared S L 1 u ctur~ func t ions measured wi th iron and deu t erium tnrgltmiddots nnd rlwy observed a s t rong dependence of l hc

tr n t h B)ormiddot ken 1 lnt rat1O (x) F )(x) on e sea varl])I I l l

bull g2M wher Q~1 is the squaled 1~-moDlntum transrer ilnd the energy transfer 01 the ~cHtered mu on to thE hadronic sys shy[em An effect has also btcn obse-tved at much loer g2 by 11 r eanalysis 3 or o1d SlAC dULJ on deep inclostic elec t r on scattering and by a dldicaterl experimenL 1 cH SLAC which invcsshytig~red tile erf~Cl for a v~riety or nucl ~ar targets I n [his paper we r eport on a cOllpAr i Son of s t ructure f unct i ons at high 02 measu r ed witll cl(ulPrium ni rloge n and iron targets in deep inela s ti~ scattering 3t the CERN SPS muon beam

Thp BCD1S muon spectromete r which has been cmr10y cd fOT tillS mllltgtu r ement is extcnsive l y dcc ri bed eJsewhc r e ~ To colle(t the datn repor t ed here we hi1V~ used a sligh t ly modir i ed cOIlCi middot guration thich is shown in f ip l TIle appnra t ufoi consists of ) 40 m l ong magne t ized iron t o r nid which is subdivided in 8 modu - I ps 3nd instrumented wi t h s (in t i ll at i on tr igger cou n t ~rR a nd mu l ti wire proportionnl chambers The cen tral bores o f the first five modules conta in target vessels (inte r nal tl laq~e l s) whi ch can be filted wit h l iquid deuterium or nitrogen Two e x ternal t argets in front of [h() magnet f ol l olJed hy 3 set of ~PC with th r e c-coor d inote readou[1 (x [ (nd t he acce~tonce of the spectroshymeter t o small annles ie to smalJ~ r Q and x than llre aCCesshysible with t he intc~nnl targets

The modulari ty of thi s apparatus and the extendpd targe t structure al l ow data to be tak e n wi t h d i[ f ~T~n t t arge t metprials s i multaneous l y thus minim i z i ng sys t ematic e rrors f r om unce rshytainties on ~lIergy cal ib rations of incoming and scnttC r cd moons on de t ec t or e f ficiencies and f r om t he r elat ive norma l ization Also v a ria t ions of t he spectromete r acceptance along the beam d i r e c t ion a r e small f o r muo ns i nter act in g i n t he i n te rnal t arshyge t s The t arget vesse l o f t h$ t hi r d module was t he re f or e reshy

~~j~ C j f~ ~ A

1

~-

GBari AC Bcnvcnuti Onollin i~ GBruni TCampor csi G Heiman L Honari l rL Navarria Dipartimento d i Fisica dell t Uni ve r sita and TNFN t Anlagnn t I ltl l y

AArgento J Cvach1 K Deirers J bull l -DNowakJ LPiPmCtnte5c4 bull

1VcressS RVoss CERN GeDev~ Switzerland

NGFadeev IAGolutvin~ MYu Kn7ari nov YuTKiryush i n VGKrivokhizhin VVKukht i n WLohmann SNclIlefek PRfoimfr lASavin GISmirnov JStrac ho tJ G Sul t1nov P Todorov AGVoJolt1ko Joi n t Ins t i Cute for Nuc Ipl r Research Duhn-j

nJ 1lDnik6 RKopp U~cyer-Berkh(JuL K - tTLichl middotr R Tiflmiddotr AStaud~ CZup8n~i~ Sclion Physik der Un i vlrsit~t 1iindlPn Ft(hmiddot r 1 1~Ipubl i of GHmnny7

M Cribier J Fe 1te~sc A ~H l S7(1 in I 1 Ourmiddotll rtllt IlI r HI UI i 111 YSacquin GSmadja GVeszltmiddotrrnml 1$ ttViTtmiddotLIlU CEN s~ctay France

Deceased 2 No a[ ln~ t i tute of lhysic~ CSAV Prague I Czechoslovakia 3 On leave [rom Inatitut fUr Hoc hene rgiephysik der ADH Bcr l inshy

Zeuthen DOR 4 Now at INFN Trieste Italy $ On l euve f rom Centra 1 REselTrh lnst i tute fea Phy i cs

Budapest Hunnary 6 On leave from PK1rd Clj University and the JStcf~n TnSl itute

[jub l jana Yu~oslvvill

7 SUPIOT middotd hy BMFT

fur several year s the re has been incresing exper imenta l evi dence that the structure of a f r ee nuc l eon is different from t he on( o f a nucleon ~mbed eu in a ltuc l e us I ndications fo r this effect were f irst observed 1 in a compari son o f deep int l astic scattering da ta f r om hydrogen deuter i um and iron t a r gp r R Tllcasured by t he SLAG-MlT Jnel El-tr e x ~e r imellts A f irs l meMWreshymeot ~a~ presentc~ by [h~ EMe collabo r at ion in 1982 ~ Their experiment compared S L 1 u ctur~ func t ions measured wi th iron and deu t erium tnrgltmiddots nnd rlwy observed a s t rong dependence of l hc

tr n t h B)ormiddot ken 1 lnt rat1O (x) F )(x) on e sea varl])I I l l

bull g2M wher Q~1 is the squaled 1~-moDlntum transrer ilnd the energy transfer 01 the ~cHtered mu on to thE hadronic sys shy[em An effect has also btcn obse-tved at much loer g2 by 11 r eanalysis 3 or o1d SlAC dULJ on deep inclostic elec t r on scattering and by a dldicaterl experimenL 1 cH SLAC which invcsshytig~red tile erf~Cl for a v~riety or nucl ~ar targets I n [his paper we r eport on a cOllpAr i Son of s t ructure f unct i ons at high 02 measu r ed witll cl(ulPrium ni rloge n and iron targets in deep inela s ti~ scattering 3t the CERN SPS muon beam

Thp BCD1S muon spectromete r which has been cmr10y cd fOT tillS mllltgtu r ement is extcnsive l y dcc ri bed eJsewhc r e ~ To colle(t the datn repor t ed here we hi1V~ used a sligh t ly modir i ed cOIlCi middot guration thich is shown in f ip l TIle appnra t ufoi consists of ) 40 m l ong magne t ized iron t o r nid which is subdivided in 8 modu - I ps 3nd instrumented wi t h s (in t i ll at i on tr igger cou n t ~rR a nd mu l ti wire proportionnl chambers The cen tral bores o f the first five modules conta in target vessels (inte r nal tl laq~e l s) whi ch can be filted wit h l iquid deuterium or nitrogen Two e x ternal t argets in front of [h() magnet f ol l olJed hy 3 set of ~PC with th r e c-coor d inote readou[1 (x [ (nd t he acce~tonce of the spectroshymeter t o small annles ie to smalJ~ r Q and x than llre aCCesshysible with t he intc~nnl targets

The modulari ty of thi s apparatus and the extendpd targe t structure al l ow data to be tak e n wi t h d i[ f ~T~n t t arge t metprials s i multaneous l y thus minim i z i ng sys t ematic e rrors f r om unce rshytainties on ~lIergy cal ib rations of incoming and scnttC r cd moons on de t ec t or e f ficiencies and f r om t he r elat ive norma l ization Also v a ria t ions of t he spectromete r acceptance along the beam d i r e c t ion a r e small f o r muo ns i nter act in g i n t he i n te rnal t arshyge t s The t arget vesse l o f t h$ t hi r d module was t he re f or e reshy

~~j~ C j f~ ~ A

1

pl1C~J by l 75 cm long iron rarget this Len~Lh m]~C h(s thmiddot luminos i ty uf the deuterium ta r get and minimizes the jn f hl~nce of ene r gy loss and the mutual contllmination of data samolcs from d iffe r ent ta r ge l ml t erials du~ to tlh vertex resolut i on o f the spect rom~ter

The data was recordeJ wi th a beam of 280 ieV posic1vC mll~lns and wi th comb inat i ons of D - Pc -D2 and N-ffl - N2 targers middoto r background subtraction data Wtiamp alsc c1kcon loJi Lh N~ - emptyshyN~ empty- rO-etnp~y and all ~nlp t yU target The typica l hf81n int nsity was 1 10 mu ons PlIf 2 slC SPS bu [st and thL t otal integratld heilJD flux aUoul1t~ to 1 lJ8middot 10 1~ muons

VtJTttX c uts tcre appl iEd which I im i [ the conramination llf th e D2 llnd ~2 clal a samples by events f rom thco Fe target to

1 47 and 031 respcct i vra ] y The -i nverse c(ln t o1miniltion L)i F~ dara by D~ ev entFi is nepligibl~ The- background from larget 01111 inte r actions was ~ubtrll(ted [rClm [he D2 and N~ dlt (1 2t resp 03) DlL O wa s correcL~t1 fo r ] cc~llLHlCt and rC-w shyl u tion of Lhc spcccromtteT hy il del1ii letl t-1onte-Clirlu s i mulation of lh~ rxfhrimcnt Til l ~xpe ri mental cross sect i oll El wtre conv(gtlshyted to qtnJcturc f unctions F2(x rI) assumin~ a constant value

R = OJ- lOTmiddot 0 6 where L a nd T are th~ absorpt ion cross scc tlOnti Cor longitud inal 3nd transver se polar i zed v irtual pho-

Do ~ N~ ~ tons f2txQ- ) lind Fp (x Q-) I~re eval u~Hed ampl2parllt~ly

for lvents from intcrnal Inti txterna l t argets for hich the arshyCtplance of t he spectrometer is very dil tcTCnt in the kinemashyti cal r egion o f over l ap the strl cture functi ons are in ngreeshymrnt within s lat i sticnl prrors and we re combined for the subseshyqUtlt ilnLlly~ i s For t he Ft -Dl) cnmparison only data r ecorded simultaneously wcore us ed to evalullte Lhe- F1 r atio Th~ i r on dilt 1 was ~orr cted for th~ non-isottlttr i ty of [iGFt assuming d ntutTOnprlltOn stru ctuTE funct i on rH io lt~l r~ J - O7Sx No cor-rectiCt1s were app l ied fot the Fermi mo i on o f nu( l eons insidp tIle nucleus

Point-lO-poi nt systematic errors a rise ma i nly (rom the OTshyrection~ for sp(ctr(ltTh~ter rt-soution which dpend on th~ vari shya t ion o( the deep in~lastic c r oss section with the kinemHic ~ariablps and on the t ~rgct ~t~rial They wpre estim3l~d by varying slightly the rlsponse of til pound appn r atus degin the simul ashyion of the tpeltrometer rC501uc i nn and are m()~t important for the data at x ~ On Other effects cmiddotonsidered include smal l un crtainlies on t he energy tOSl and multiple Sltlltttring in [ he di[Cere nt ti1r~t ollllltCrills and different multiplicities of hlt1dronic showe r feed-through which can effect the reconscructiun of the scattered muon track Fo r thE N~ - DJ data comparison where lhe data was laken a t d ipoundleren t t1mcS e rror s a1to a cshycoun t [or t he r eproducibility of t he beam ~nc r gy calibration

laquo 6 10- ) of the spec t romoter gnecic fie l d laquo 210 ) and or detector cfficienci~s Fo r lhe r e - I)t compari son whereshytracks from di f ferent tilrgc t s ~1e iiKlIntlIlum o111lt11yzcd in IJirrshyr ent parts of the spectr Qmerer (fig I) t he effect of sma I I variations of thpound magnetic fie l d a lnng lh heam d i r cctiLIO (hDo lt 310-3 ) is also included in thp e rro r estimate

Residual errors on t he re la tive luminosity calibration of the Nc- D) r cs p fo- D~ comparisons ore due to 01 small h~Rm l eakage t rom the t ) r g(J t caused by beam divergence and truJ t tin 1 scattering t o uncertilin [ ies on the densities of th(O 1 i quid t J rget a nti It til t- orfPctlons for mutual con tamina tions of datt r m d irrfgtr(gtT1t tir~pt materials Additlona l ulI(~noli n t iot un the N DQ r H ic) h i ch ar i se from dlilutime Iornmiddot(l inn c tn t he bbll1l cll untin~~ Iec e found t o be 5ma l lt~r than O )Z W~ tlwrcmiddotshyforl cstimnte the sys t emlt i c uncer t a i ntv on tllC rli d tivl lurdshy

nosity cal~brat~on to ~ S for bo~h lht N2-O ~In~ ~-Di s tr 1Clurto [unItaon ral1 0 As an Inderendent v(T1flt~at l on oil comp1re lh f fVEn t so1mp l f9 from t he f~ targeL h i e ll orc rfoCOrshydcd simul t 1neouflly with both tlw N2 and D2 datil This (on5shytrain~ lhl lrror on t111 NJD ogt n1ativp l um1nt-gtity tr he ~ml -l~rlhdnl) - shy

bull N t D ~ The s t ruc t ure functton Tatlo Po (1 Q ) F2 tQ 1 1S

shown in fig2 i n bir5 of J and ft2 1n agreement with carl ilr expe r im n t ~ 0-4 no ~ign iticant O dependence is oseTved within the lii tltilit i ral accuracy of the da t a the carrc ilppt jtmiddotf

bull l l d Q1 0 the r IFJ - r 1tHl We therefore Ll ver Jge the ata over 3ssirning to Lach dat] point a wei ght equal tl the JllVe r Se

square of iu r e11tivc Crr(lT the mean values a rc presented In

b i n Lof 1 i11 Fi~ 1nd lil T1ble- The FI rfD2 rotio i s SholTl ill F i gJri lnd (omparcd In [Ii( EMf data which cover r1 si shymi lar ranRt in Q ~ 1 bull Over the x range btch i s cotmlon to bOlh dI) scts wc observc agrlement between the two experishyments There i s 0150 good agreement with the data o f ref on

re lgt I h 1o 0 1amp (h In tis ranKt- of l are apprOXImate y equa D)

t l Flmiddot (I~ (vn ii we tak~ into ~CCOUtlt a p~~~ibt~ depenshydlnc of r~middot 0 10 (HI the lIucltar opight A 1

I T Tlw r 1 F 112 rati o (Fig 3h) s hows a behaviour similar to

2 2

t h a t of rJr e f~ lor x gt02 but JiLh a les pronounced I deppndence

o

1 til l(1w r-girw the N~ 1deg2 dat3 dlVLalesbull

[rOlf [hI I in~Hr dto1cTease (lbservEd a t higher x llnd i s compashytible o1rh no flUCmiddotlAf fffeCf at all 1nclud ing the c6cima t e of systemHie uClctrtaintie6 we find that t he probabili ty of the data pointS in t he range 008 x 020 llt be compatible with J straight line extrdpolatinn -of t he data for 020lt J lt 070

3 2

--

--

~ C~

~ o

M

gt

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ltj

t-

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M

C-shy

u

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~

Jl

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j I f

~ t =1

J

a ~LmiddotIImiddot ~

~g _---- gt

~

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~ ---f~= ~ ~~ - ~ ~

shy

0 ~ -shy~ E 1~ 3ii~ __ _

r u ~ n

~ bulli C

~ ~ i-l

II -_-- i~ shy U

c f~ ~ -

~ ltgt p - j~ [~u ~ J OJ

bull U

R~ U yen

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iJdCo I gt- shybullu 1

( see t he Tahle ) is mrli l c r t han 1 For x gt o t hese da t a is in agreemen t lith the ca rbon da t a from ref 4 measu r ed at much 10Je r g2

In conclusion Nf hlVEI presented a f i rst measurement o( the ni t r ogendeuterium s tructure function r at i o which is c ompatible wi th unity for x lt 0 3 and dccraases Li near l y f or highe r values nf 1 Our meils urcment wi th i ron and deu lerium targets over the kinemiltic r ange 02 x 07 cunfi rms the meas urement of the

J - shyEC - with improv(d ~YS l tmAllc accuracy Both wi t h N2 and Fe targets 110 Q2 dependtnce of th e st r ucture function r a t io s is observed over tile (n ti rtl- kinemat i c range of t he experiment

h N 0222 ~O~M o C 555 8CoS ss~ u cicici cicidooo

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0 00000 000h ~ ~

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I bull

l ~~~~~~ o 1S DIIDDO Abull~ddcido bullo shy

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ll

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i 1

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008 lt It lt0 12 121

N toJI--+H-- -- -- - shys ~ o

0 06I

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~ - 0 toI _-+tbH+i+ -- shy-

1

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J +-+tH----- --shy

0025 lt lt0 10

--tU+t+J~ --shy~ s - - o

Io 1

r

H

1Z OJ0ltxlt050 0 50 -lt1( lt060

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--l+~+- --shy

030 ltI lt 010

--ftfhn +-+- shylshy

1

060 ltx lt 0 70

- -~ 10

081t~Hlflfit -- fit 11(ttl C bull fllilii-I 06

20 50 100 20 50 100 20 50 100 200

01 IGtVJ

2 (1)2 Fig 2 The s ilUctwe J W1Ct~on mt~o 2 bull r 111 bi~8 at bull and Q P lrly tatisticaZ errors are shoun

5

gt Boll i ni D I a Ilucllnst r Meth 1983 204 p33) ncnv~null AC et al NucIInstrNoth 1934 226 p330) F~ F~12

6 Bullini D et al Phy bull Letl 1981 104M p403 ltgt 9 cent o [MC E~IC Aub~lt JJ et a1 PhysetL 1982 121ft p A7 11

7 Sacquin Y Proc XrXth Recontre d~ Moriancl (Ed by Tranbull Th [pempnl f Thanh V~n) La P-lgne Savoip France 1984 v01 2 p 6S9 10 Bodt-k A Proc Xlth ltConC on Neut rino Physics and ASlrC shy- - - -+shy

phyics (Cd by KK lcinkecht and EA Pachas) Nordshykltchen near Dortmund 1984 pn4J0 9 Rock S E Proc XXl Tnt ConE on High Energy Phys i eg (Ed hv ANever nd E Wieczorek) Leipzig 19~1 vo l l p220 f 10 8 - Savin 1 i SmirnovGt PhytLett 1981 1458 p438 shy

a _ shy

b) o SLAC 10D- 12

- bull This (xpenmpnl FIF D

shy

II

e __+ ~+ j gt- - - - shyI t shy- -I - I if l bull bull

091- 1 9 f

degT I I

0 02 o~ 0 6 08

d da X bullhgbullL Q- - av9Ja(l9 ta fol 8tnltture fmot~otl of bull OnZy otariaticaZ 6l1O18 Q(~ shoom POJ 88tOMcttilt eJshyOJS eet Table 1 rmd r efa (esppctiVlIly

a ) futa [0( r bull D~ ed h e l~ ~ fJ I ~ J H)~l-ar to e v re8u D

b) Data f N u bull

~~ Fz (or1pmV j t( 1 TJ8uta of SliC expelinBfl pound139 -1 for carxn~

RFfERENCES

I Smndja G Proe 1981 l nt Symp 011 topton and PIt on Intershyactions at High Enprgi~~ (Ed hy WPfeil) Ronn r(~8lj

2 EMC Aubert J 1 ~[ A1 IhY5Lnt 1983 1238 0275 J Bod~k A et al PhysRevLetr 1983 50 p 1431

Sodek A el at Phy bullbull RevLett 198) 51 p~14 4 Ar nold RG ot 1 PhysRev Lelt 1984 52 r727 SLICshy

PIJB-3 257

6

Rec~ivcd by on

Publishin~ De pdrlmcnt October 2 1 1985

7

gt Boll i ni D I a Ilucllnst r Meth 1983 204 p33) ncnv~null AC et al NucIInstrNoth 1934 226 p330) F~ F~12

6 Bullini D et al Phy bull Letl 1981 104M p403 ltgt 9 cent o [MC E~IC Aub~lt JJ et a1 PhysetL 1982 121ft p A7 11

7 Sacquin Y Proc XrXth Recontre d~ Moriancl (Ed by Tranbull Th [pempnl f Thanh V~n) La P-lgne Savoip France 1984 v01 2 p 6S9 10 Bodt-k A Proc Xlth ltConC on Neut rino Physics and ASlrC shy- - - -+shy

phyics (Cd by KK lcinkecht and EA Pachas) Nordshykltchen near Dortmund 1984 pn4J0 9 Rock S E Proc XXl Tnt ConE on High Energy Phys i eg (Ed hv ANever nd E Wieczorek) Leipzig 19~1 vo l l p220 f 10 8 - Savin 1 i SmirnovGt PhytLett 1981 1458 p438 shy

a _ shy

b) o SLAC 10D- 12

- bull This (xpenmpnl FIF D

shy

II

e __+ ~+ j gt- - - - shyI t shy- -I - I if l bull bull

091- 1 9 f

degT I I

0 02 o~ 0 6 08

d da X bullhgbullL Q- - av9Ja(l9 ta fol 8tnltture fmot~otl of bull OnZy otariaticaZ 6l1O18 Q(~ shoom POJ 88tOMcttilt eJshyOJS eet Table 1 rmd r efa (esppctiVlIly

a ) futa [0( r bull D~ ed h e l~ ~ fJ I ~ J H)~l-ar to e v re8u D

b) Data f N u bull

~~ Fz (or1pmV j t( 1 TJ8uta of SliC expelinBfl pound139 -1 for carxn~

RFfERENCES

I Smndja G Proe 1981 l nt Symp 011 topton and PIt on Intershyactions at High Enprgi~~ (Ed hy WPfeil) Ronn r(~8lj

2 EMC Aubert J 1 ~[ A1 IhY5Lnt 1983 1238 0275 J Bod~k A et al PhysRevLetr 1983 50 p 1431

Sodek A el at Phy bullbull RevLett 198) 51 p~14 4 Ar nold RG ot 1 PhysRev Lelt 1984 52 r727 SLICshy

PIJB-3 257

6

Rec~ivcd by on

Publishin~ De pdrlmcnt October 2 1 1985

7