Bhattacharyya, D P

Roychowdhury, R K

Sarkar, Kalpana

IACS Institutional Repository

Indian J . Phye 5 0 , 800-S ()2  (1076)New scaling variable at ISR energies for p 4 p — inclusive reactionsK aLPANA S aHKaTI, 1 .^ P . ■RHATTACIIAKYYA, P  K . KOYOIlOWmiUTlY* AND D B a shfnflirtn A ft social ion. for the Cnltrration of f^ cience, Jadavpw, (7a/t'?//(a-700032 {Pecp.ived 12 Fp^ brnanj 197U)Tho iiujlusiA^ o (;rosM section for p \-p I'ciictiojis ut TSRcjK^ J'^ ics can bit rcpj’csontcd liy a single scaling variable of tJic form ‘tj - 2y>2’“it;/lu{-‘'7 .s",j) lor low pr ft is I'oimd tjiat at large*, p^ and not too small X tlio cxpi r^imcntal data can also bo roprosontod by the same variable.1. IntroductionThe* gemcral preipe-rtie'S of iiiclnsive reactions, such as scaling, the^  exponential t!ut-off in the', transverse^  raomenitiiin pr^ , tJie de'pcmde'Uce^  eif multiplicity v^ith eme.rgy is eif ijitore’st to many pliysicists in the* field of high energy particles p]i,ysics Tlu* mae’liine exporimenits ol‘ CETIN Group (Capiluiipi el al 197'^ ) pjovide inclusive*, speuitrum of e;]iargeul particles at ISB energy range — 23 3 — 53 GteA^  TJni.v gave^  data at moderate spectral region of pr. in the range* 0 2-1 2 Ge^ V/c Moreover, Cottrell d al (1975) provieic tJie data at /^s — 52 5 G(‘\'^  lor interval 1 3-4.7 GeV/c They suggest that the Lorentz invariant cross section at fixed angle can bo approximated by _d VE d^p =  K  cxp(—5^ 2*)and the^  slope of the distribution decreases monotojiically with iucreiasing angle) from . B - 4  9d=0.1 for 10 2" lei .B 3 4_J 0 1 for (?-= 20 8"Tn the* pre‘,se*nt mve s^tigatiou we shall study tlie) scaling pre)pertj(*s eil the* [nteu’ese'.oting Storage Ring data for inclusive reaction p-\ p —► 7^  ^+ X  in a wide range of value) of py and x by using a single scaling variable2. R esults and RtsoussionPigure*s 1 and 2 sho\v the Lorejit/, invariant cross sectmn data plotted against ')} — 2^ 7i2r/ln(s/.9f,), w]io3‘e s'o -- 1 GroV ajid x is IJie usual 3^ Vyman vaj*iabk* (Capiluppi d al 1974 and Ceottrcll al al 1975) in the) center of mass energy range of preiton — 23-53 and 52 5 GeV, respedtively. It is found that the inclusive cross section for j?A-p —> -'rX reactions tor 0 075 ^  .r ^  0 3 and 0 2 ^  /iy ^  1 5Azad C^ nllego,+ Permanent Calcutta-700013.Addrc.ys : Department of Mathematics?, Moulana860N ew  scaling variable at IS R  energies eic> 861G i r V / r ,  t l i o  f iS R  d a t .H  o f  O a ,p i l\ i j )p i  t i  aJ  ( 1 9 7 4 )  f o l l o w  t l i o  r o l a t i o j i  ( s o l i d  c\ irv (^  l u  fiffiu’o 1). ■ ( 1 )wJioro A -=■- 168 7 (mb/GoVa/o^ ), a ^113,9 and h 683 4 in tJuj intio’val 0 003Tho I'lwont (liila o) Cottroll (it tii (1975) ivl i:onlor ol' inasH onorgy j-ango) \/s := 52 5 GoV follow a powor law of the following: formill tJio n i g i o n  1 9 <  y>y, A 7 GoV/c a n d  .r 0,25 -0 50 f o r  0  ^ ^  y 0 .1Fig. 1. Tho cross socUon datn for i } - \ -p  ^  v ^ -Y x  roaohion.s,fi^ fT]ii{fil.9Q)E  —  VH 71 2 p r “ c/ln{s/iio)liave heon plottod from tho work of Capiluppi et al (J974;). Solid lino shows tho fit from oq (1). Expenmonial data :\/a =  23.3 GeV A for x 0.16, 4  ^~ ^ -3:-■ 30.6 GoV n for a: — 0,16, | for a; =  0 3;V« =  44 6 GoV y for x = 0.076, f  for a; = 0 1.6,  ^=r-. 0 3;V« =  63.0 GeV O for a: = 0.075, ^  for w =  0.J5, O re = 0.3.8 6 2 P. Neogy and A, Neogy_Fjgir,ros I amisJiow iluit t]Lo (^ xpcriincmtal (M’o.ss soot ion data at diffmmt iiKiideiit ((11(^ 1 "i(‘s (ollow t]u- nniv(‘i,sal omvo.s and satisfy th(‘ scaling hcJiavionr at dirrnJ’(-iit ('ii(^ rgi(‘s Such scaling jwopoi’ty of tJic data is tAndi'Ut for small ])rp also wliicli snggnsl.s an (exponential nalui'(‘ ajid at luglun' momcnitnm tJu' powcj' law l)(‘]iavi(mr is pr('dojnjnant.I'*]". 2. Tho crosH Rortion data for p-Vp 1-x juniMinun, lufj ^  .'>’/1ti('»/*‘o) at ('ontor nf inaHH ciiorpy — r»:t CloV,Data : O C(d-t,rell el ol (1975) for a -- 0.25-0.50.plottc'd as afimrlions ot3. ConclttstonTJio prcswit formalism .suggests th.at tl\(^  single param(‘ter 7; — 2^ 3T’‘^ a:/ln{.s7.s’ )^ can explain tl\r' sc.aling pi'operti(>s of tlio TnterstMiting Storage. Eing data for in* elusive reaction jj f jo —> 7t' \-X in a surprisingly wide range ol value of fp  and X,R e v e r e n o h sCapilappi T‘ ., Giacomolli C., Tlosai A . M & Vaunini 0, 1974 N ueh P h ys. B70, 1.Coltrcl E. el al 1975 Phys. 55B, 341,

New Scaling Variable at ISR Energies For P+P→ π ++ X Inclusive Reactions

http://arxiv.iacs.res.in:8080/jspui/bitstream/10821/4593/1/New%20Scaling%20Variable%20at%20ISR%20Energies_Kalpana%20Sarkar.pdf

New Scaling Variable at ISR Energies For P+P→ π ++ X Inclusive Reactions

Abstract

Similar works

Full text

Available Versions

IACS Institutional Repository