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Low Energy (Anti)atoms for Preision

Tests of Basi Physis

D.M. Silveira, O.Pereira, M. Veloso, and ClaudioL. Cesar

Instituto deFsia

UniversidadeFederaldoRiodeJaneiro

21945-970, RiodeJaneiro,RJ,Brazil

Reeivedon23Marh,2001

Reentadvanesintehniquestomanipulateandstudy,withhighpreision,atomihydrogen,from

onehand,andsuessfultrappingshemesforpositronsandantiprotons,fromtheotherhand,have

enouragedthe pursuitofexperimentsto testCPTviolation andtheWeak EquivalenePriniple

(WEP) through the omparison of hydrogen and antihydrogen. A desription of the hydrogen

trap and laser system being built in Rio, to trap and perform high resolution spetrosopy on

old hydrogen, is presented along with a disussion on the tehniques and experimental system

beingimplementedbytheATHENAollaborationatCERNtoprodueoldantihydrogen. Anew

tehniquetomakeaoldantihydrogenbeamisproposed.

I Introdution

CPTinvarianeanbederivedfromverygeneral

prin-iplesofrelativistiquantum eldtheoriesandits

on-servationtheoremhasbeenprovedinatspae-time[1℄.

The ombined operation of harge onjugation (C),

spae reetion (P)and timereversal(T) should

rep-resentan exatsymmetry of nature. By testing CPT

invariane,oneistestingtheorretnessofthe

desrip-tionofthemirosopiworldin termsoftheexhisting

eld theory; oneis testingtheStandard Model [2℄. In

whatonernsantimatter,itpreditsthatpartilesand

antipartiles shall haveequal masses and lifetimes, as

wellasequal(but opposite)hargesandmagneti

mo-ments. For (anti)atomi systems the preditions are

that the levels' energies and lifetimes should be the

samefortheonjugatespeies. Todate,noCPT

viola-tionhasbeenexperimentallyobserved. Preisiontests

of CPT violation inlude measurements of the

dier-enebetweenthemagnetimomentsoftheeletronand

positronandthedierenebetweentheharge-to-mass

ratio of the proton and antiproton. Nevertheless, the

mostpreisetest(10 18

auray)[3℄,thoughmodel

de-pendent,omesfromtheomparisonbetweenthemass

oftheneutralkaonandantikaon (seeFig.1).

Preisionmeasurementswiththesimplestantiatom

that ould be produed at low energies would

repre-senta morevigorous,model-independenttest of CPT

invariane. Moreover, the availability of these slow

antiatoms would prompt experiments to ompare the

gravitationalaelerationsofhydrogenand

antihydro-(WEP):forgiveninitialonditions,negletingspin

ef-fets, equalbodies follow the sametrajetories [4℄. If

thisprinipledoesnothold underexperimental

veri-ation, General Relativity will have to be revised. A

diretmeasurementofthegravitationalaelerationof

hydrogen and antihydrogenwould addressan old and

renewedquestiononthepossibilityofantigravity[5℄or

aWEP breakdown[6℄, an issuethat still laks

experi-mental observation. Thehallenge is to produe

suit-ablyoldantihydrogen.

Figure1. Comparison between preisiontests of CPT

in-variane. Seetextfordisussion.

Antihydrogen is believed to have been rst

pro-dued and deteted in 1996[2℄, in a team experiment

heldatCERN'sLEAR(LowEnergyAntiprotonRing).

The basi idea is that an antiproton passing through

(2)

eletron-apositronfromtheproduedpairandformafast

mov-ingantihydrogenatom. IntheCERNexperiment,the

xenonatoms(the target)wereshotfromagas-jet

noz-zlearossthepathoftheantiprotonsastheyirulated

aroundLEAR.Antihydrogenwasdetetedthroughthe

annihilation ofthe antiatoms' positronswith the

ele-tronsofasiliontarget,withtheemissionofa

hara-teristiphotonpairdetetedbyasetofsurroundingNaI

alorimeters. Additional measurements down the line

onthestrippedantiprotonseliminateallbut

antihydro-genevents. Thoughitwasnietoobserveantihydrogen

forthersttime,verylittleouldbedoneonthestudy

of its properties as the few antiatoms produed (nine

ounts ould be assigned to antihydrogen)travelled a

fewnanoseondsbeforeannihilation. Lateron,

antihy-drogenwasproduedinlargeramountsatFermilab[7℄.

Foraomprehensivestudyofitsproperties,

antihydro-gen has to be produed with muh less speed and in

muhgreaternumbers.

This is the hallenge posed to the ATHENA

ollaboration[4℄: the prodution of antihydrogen in a

novel way so as to get very low energy antiatoms

suitable for high preision measurements. All the

in-gredients to form antihydrogen are at hand. Sine

the early 80's steady progresshas been made in

ool-ing and trapping neutral atoms; in partiular,

ultra-old gaseous samples of spin-polarized atomi

hydro-genhavebeenstudiedwithhighpreisionthrough

two-photon Doppler-free laser spetrosopy on the 1S-2S

transition[8℄. Reentadvanes in apture, oolingand

trappingof positronsand antiprotons makeitfeasible

toproposereombinationshemeswiththeaimof

form-ingoldantihydrogen.

In this paper we address some of the

experimen-tal issues involved in this researh, its urrent status

and propose a new method to generate a old

anti-hydrogen beam. In setion II we present the urrent

status of trapped hydrogen researh and our

appara-tususingthebuergasloadingtehniqueandthelaser

systemfor spetrosopy. In setion III wedisuss the

ATHENAapproahandurrentstatus onantiprotons

andpositronstrappingandreombinationshemesfor

antihydrogenprodution. SetionIVdisussesthe

inte-grationofthese aspetsand physisexperiments,

on-ludingin setionV.

II Trapped atomi hydrogen

and laser spetrosopy

Bose-Einsteinondensation (BEC)wasthemain

driv-ingforebehindresearhwitholdhydrogen,asithad

beenpreditedthatspin-polarizedhydrogenwould

re-main in atomi form down to T = 0 K[9℄. The rst

magnetitrappingofatomihydrogenwasdoneatMIT

in1987[10℄usinganevauatedellooledbya 3

He-4

He

dilutionrefrigeratorandoveredwithsuperuidhelium

withinaninhomogeneousmagnetield.Moleular

hy-drogen,frozenonthewalls,isdesorbedanddissoiated

byaRFdisharge. Theresultinghydrogenatoms an

lose energy andboune o the weakly bindinghelium

lm,ontheellwalls. Theslowatomsarethen

magnet-ially trapped throughthe interation of its magneti

dipolemomentwiththeexternalinhomogeneouseld

B.Inthepreseneofexternalelds,theatoms' energy

levelssplitintohypernelevelswhoseenergyinreaseor

derease withtheapplied eld. SineMaxwell's

equa-tionsforbidthereationofapointofeldmaximumin

asoure-freeregion,one antrapatomswhose energy

inrease with inreasing eld in a point of eld

mini-mum;atomsinsuhstatesarealled`low-eldseekers'.

ThatsameyearthegroupatMIT was abletotest

the proposal[11℄ of fored evaporative ooling

ahiev-ing temperaturesas low as 1 mK[12℄. This tehnique

eliminatesthehighenergyatoms,whihareontinuosly

beinggenerated by ollisionswithin the thermal

sam-ple. The removal of exess energy auses the sample

tothermalizeateverloweringtemperatures. Typially

onelosesoneorderofmagnitudeinatomnumberwhile

gainingtwoordersofmagnitudein thedereaseof the

temperature. A newandlargertrapwasbuilt[13℄and

theMITgroupgottotemperaturesasoldas100mK

and densities ashigh as 5 x 10 13

m 3

. Bose-Einstein

ondensationouldnotbeseeninthesystemduetothe

lakofagooddetetor. Itwastheninvestedalarge

ef-fortin developingthelaser andoptial systemfor the

detetionofthetrappedatomsusingthe1S-2S

transi-tion,tobeusedasadetetionshemeforBECandfor

theinterestofspetrosopyonthisfundamentalatom.

A few years later, in 1995, the MIT group[8℄ was

able to perform laser spetrosopy on the trapped

atoms at400Kahievingareordhigh resolutionof

2 parts in 10 12

at the time. In a reent publiation,

CesarandKleppner[14℄showedhow,inthislowenergy

regime,oneanavoidtime-of-ightbroadening,whih,

alongwiththeseond-orderDopplereet,isthe

dom-inantbroadeningmehanismoftoday'sstate-of-the-art

hydrogen atomi beam[15℄. But either asa frequeny

standardorasaportablereferenetrapforomparisons

withantihydrogen,theMITtrapistooompliatedand

ostlyto beaviableoption. Other trappingstrategies

havetobedevelopedtomakeitlessomplexandmore

reliable.

Oneofthemostimportantparametersofamagneti

trap is itsdepth, the dierene betweenthe potential

(or the eld) on the edge and on the bottom of the

trap. Despite the amazing development of

superon-dutorsandpermanentmagnetstehnology,itremains

a hallenge to reate traps deeper than 3-4 T, whih

(3)

like hydrogen. It is lear that the atoms that are to

be trapped must undergosome kindof pre-oolingso

that itsenergyisloweredtoapointwherethegaseous

sampleanbeonnedbythemagnetitrap. Thishas

beenmadebasially byeither oftwotehniques: laser

ooling { whih works ne for alaline atoms with a

simpleshemeofenergylevelsandlaser-friendly,easily

aessible transitions { or thermalization with a thin

superuidliquid 4

Helm,whihiswellsuitedonlyfor

hydrogen. Despitehugeeorts inextending therange

of appliability of optial tehniques, most of the

ele-mentsoftheperioditable(aswellasmoleules)remain

untouhablebythosetehniques.

A. Buergas loading

Buer gas loading of magneti traps is an

alter-nativetehnique that proved to be widely appliable.

Proposed[16℄ and demonstrated[17℄ by John Doyle's

groupatHarvard,itwasemployedtomagnetiallytrap

largeamountsofmoleules[18℄,aresultneverahieved

before. The basi idea is to ool the gaseous sample

through elasti ollisions with the old buer gas in

the regime of large Knudsen's number, i.e., the mean

free path muh shorter thanthe elldimensions. The

buergas{typially 3

Heor 4

Hewhihhavereasonably

highvapourpressureinthesub-kelvinregion{is

main-tained in aryogeni ellat temperatures below 1 K.

In Doyle's trap this temperature is obtained through

a thermal link between the experimental ell and the

mixing hamberofadilutionrefrigerator.

AtomsanbeintroduedintotheellbyeitheraRF

dishargethatdesorbsatomsfrozenontheellwallsor

bylaser ablationof asolidlump. Forhydrogen, alow

temperature RF pulsed disharge would be preferred,

sinethe moleularhydrogensnowisspaed thorough

theellwalls. Atomiuxesof10 12

s 1

and

tempera-turesnogreaterthan10 3

Karetypialvaluesforsuh

disharges. The buer gas serves the purpose of

re-duing the atoms' kineti energy while keeping them

awayfromtheellwallswhere theywouldstik. Sine

the tehnique relies only on elasti ollisions and not

onyli optialtransitionsitisof generalappliation

and an be employed to trap large amounts of more

than70%oftheatoms (thosewith 1

B

), aswell

as moleules. Its eÆienydependsontheratioofthe

magneti energy depth to the sample's initial loading

temperature.

Althoughthedilutionrefrigeratorallowstheellto

bekeptattemperaturesaslowas100mK,itis

expen-sive, fairly large and it is not an user-friendly

equip-ment. Pumping on liquid 4

He one anreah beyond

thesuperuidtransitionat2.2K,or-point. Atypial

1 K pot ryostat regulates its temperature at 1.3 K,

where the vapour pressureis enoughto alloweÆient

theheatonduted bythesuperuidfrom hotterareas

and for ooling the ell. Estimating the eÆieny of

buergasloadingin a1 Kpot environmentonends

alowerperformanethanwiththedilutionrefrigerator

butstilladequatefortheseondphaseoftheATHENA

experiment, where thetrapped hydrogen will serveas

areferene for spetrosopi omparison with the

an-tihydrogen. Theadded benetsof the 1K pot are in

ost,omplexityand turnaroundtime.

B.The apparatus in Rio

InRio weare setting upan apparatus witha 1K

pot to perform buer gas loadingand magneti

trap-ping of paramagneti atomi and moleular speies {

inluding atomi hydrogen { with the aim of further

ooling the trapped samples through fored

evapora-tive ooling[11℄. The ell and the 1 K pot are

on-tainedinsidethemagnetitraponsistingofaspherial

quadrupoletype: twosuperondutingNbTioilsinan

anti-Helmholtzarrangement. Field is zeroat thetrap

enter and rises in all diretions; the trap enter is a

3Dmagnetield minimumandit'saroundthis point

thattheatoms remaintrapped. Themagnet askisa

titaniumsinglepiee,designedtowithstandthebrutal

repulsionfores ofapair of100A opposing oils,and

itisompletelyimmersed in liquidhelium. Thewhole

experiment(ell,1Kpot,superondutingmagnet,

liq-uidheliumreservoir)isontainedinaspeiallydesigned

ryostatasdepitedin Fig.II. It features aliquid

ni-trogenreservoir{toreduethermalondution tothe

liquidhelium{andahighlyonduting,lowemissivity

metallishield thermallyanhoredat 77K,to protet

theheliumenvironmentfromthe300Kblak-body

ra-diation. Optialaesstotheellisthroughaseriesof

optialwindows.

Buer-gasloaded,magnetiallytrappedatomi

hy-drogen is also very interesting from the metrology

point-of-view.Besidesbuildingasystemfordiret

om-parisonofthe1S-2Stransitioninhydrogenand

antihy-drogen,weplan tobuildanothersystemto beusedas

anoptialfrequenystandardbasedonthissame

tran-sition. Todate,themostpreiseoptialfrequeny

mea-surementwasmadeinhydrogenatomibeamsthrough

phase-oherent omparison to a old Cs atomi

foun-tainlok[15℄. Thetrappedhydrogen-basedsystemhas

potential for muh higher resolution than the atomi

beam-basedspetrometeratGarhing.

Magnetitrappingandforedevaporativeoolingof

atomispeies otherthanhydrogenoralaline-metal

-as well as moleules - are also being pursued in our

laboratory. Ourrstattempts shallemployhigh

mag-netimomentspeies,likeeuropium. Formostspeies,

(4)

ap-pulsed Nd:YAG laser soure. After loading and

trap-ping, foredevaporativeoolingshall be performed to

redue the sample's temperature from 1 Kto the K

range. Wearespeiallyinterestedinsympathetiev

ap-oration, whereoolingof onespeies forwhih

evapo-ration works ne leadsto oolingof another

(simulta-neouslytrapped)speieswhihisnotsuitedfor

evapo-ration.

Figure2. Depition ofthe 1Kryostat. See text for

dis-ussion.

C. The laser systemfor spetrosopy

Atomi hydrogen has proved to be a great

labo-ratory for tests of the most basi theories of Physis.

Reentspetrosopimeasurementsonthe1S-2S

tran-sitionhashadimpliationsonthemeasurementofthe

Lamb shift[19℄ and on orretions to QED[20℄. This

transition is aessed with laser radiation at 243 nm

whih anbe produed by frequeny doublingfrom a

dye laser at 486 nm as is done at MIT and will be

pursuedatATHENA,orbyfrequenyquadrupliating

fromaTi:saphirelaser,asweareimplementinginRio.

Thehoieforthislasersystemwasditatedbythe

needofexibilitytoaessdierentatomiand

mole-ularspeiesin ourownexperimental program. It

on-sists of a omerial (Coherent, In.) Argon Ion laser

whose output of up to 28 W is used to pump a

Co-herent899-21Titanium:saphirelaserwhihhasits

fre-quenydoubledtwie. TheTi:saphirelaserosilatesin

therange of700nm to 1100nm. Typialpeak power

at 15 W of pump power is 0.6 W, CW single mode,

at 972nm. For therst doublingstage weemployan

externalenhanementavityand aKNbO

3

rystal, as

shematially shownin Fig.3. PotassiumNiobate has

optial transparenyrangingfrom 400to 4500nm. It

presentsthelargestnon-linearoeÆientsofall

omer-iallyavailable inorganimaterial (d

31

=-15.8 pm/V,

d

32

=-18.3pm/V)and,withitsnegativebiaxial

stru-ture,issuitableforawidevarietyoftemperature-tuned

type I non-ritial phase-mathing (NCPM) and type

II,angle tuned, phase-mathing ongurations. It

es-beyondtheNd:YAGwavelength(1.064mm). Wewere

already generating blue light while sanning the

av-ityandwewilltryanewproposedmethodtolokthe

doublingavity[21℄(seeFig.3) afterthelaser's

\intra-avityassembly"isrepairedatthemanufaturer. This

laser systemwill serve for studying other atomi and

moleularspeiesaswell.

5) 2VF

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Figure 3. Shematis of the rst optial frequeny

dou-blingavity,showingtheloksheme. Therystalatuseis

KNbO

3 .

The unusually long lifetime of the metastable 2S

level (122ms) makesit possible,at leasttheoretially,

for oneto measure the 1S-2Senergydierene with a

10 18

auray, provided the (anti)atomsare trapped

andold. Theexitationofthe1S-2Stransitionis

per-formed by two-photon absorption. The 2S state an

be quenhed by a small eletri eld whih auses a

mixing with the 2P state resulting in the emission of

aLyman

photon,whih istypiallydetetedina

mi-rohannel plate followed by an amplifying stage and

ountingsystem. Fortheantihydrogenoneanuse

dif-ferent shemes relying on the annihilation signal. As

proposed byP. Boweand J. Hangst[22℄ oneould use

photoionizationoftheexitedatomandeletrially

re-etbaktheantipartileswhilelettingthenon-exited

antiatomsgostraightontoanannihilationwall. Or,in

the ase of trapped antihydrogen, the Lyman

deay

alsoleads,sometimes,toahangeofspinstate,ausing

theatoms to be expelledfrom thetrapand the

anihi-lationsignaltobeseen,asproposedbyoneofus[23℄.

III Towards old antihydrogen

In the last years researhers working at aelerators

have sueded in developing new methods for

manip-ulating antipartiles. Antiprotons and positrons have

beenaptured,slowedandstoredforlongtimesin

ele-tromagneti traps; tehniques for reating antimatter

beams were also devised. Some of these methods are

(5)

InCERN'sLEAR,antiprotonshavebeenaptured

and ooledto meV energiesby suitablemethods. The

same shemes are used with CERN's new antiproton

mahine, the Antiproton Deelerator (AD). The

An-tiproton Deelerator (AD) started delivering

antipro-tons to the experiment by mid of 2000. Soon after

the ATHENA team reported apture of antiprotons.

After being slowed down in a beam ounter, the

an-tiprotons passafoildegraderwith adjustableeetive

thikness(asplitSiphotodiode-forrefereneand

en-teringofthebeam)andenter theappropriatePenning

trap, whih had been previously lled with eletrons.

Asantiprotonsosillatebakandforthinthetrapthey

loosetheirenergythroughCoulombollisionswiththe

eletron loud. This apture proess an be repeated

severaltimeswithoutlosingtrapped antiprotons, thus

enhaning thetotal numberof antiprotons to beused

intheexperiment. Withthedumpsignalfromthetrap

thefoilthiknessouldbevariedforoptimization. The

vauum onditions in this rst run of ATHENA was

not in agreat shapeand thelifetime ofthe

antiparti-les are diretlyaetedby anihilationwiththe

bak-ground gas. Typiallythesample ouldlast for hours

inaidealvauumonditions. Intheexperimental

on-dition shownthe sample lifetime wasredued to 10s.

Obviously this an be improved and one of the

ma-jor fators is the temperature of the old nose of the

experiment whih was high and this problem is being

addressedforthe2001run.

A seond important step towards the goals of

ATHENA is the prodution of slow positrons. These

low energy positrons (kineti energies in the MeV

range) are available in a ontrolled way either from

radioative soures or from pair prodution from

bremsstrahlung. Their energies an be further

re-dued uponpenetrationinto amoderator. Lowenergy

positronsarereadilyslowedtothethermallevelanda

frationofitisspontaneouslyemittedinvauumeither

as free positrons oras positronium. Positron

aumu-lation forATHENAhasbeenahievedbytheSwansea

group with the newly built positron aumulator

fol-lowingadesignbyC.Surko'sgroupatU.C.SanDiego.

This design uses a 22

Na soure onto whih surfaeis

deposited a thin layer of solid neon (moderation

eÆ-ienies as high as 10 3

), at ryogeni temperatures.

This system providesthe best demonstrated soureof

thermal positrons. After thesoure and following the

magneti eld lines the positrons enounter dierent

regionswithavaryingpressureofN

2

servingasa

ther-malizingbuergasandasadissipationmehanismfor

loading the positron Penning trap. After initial

trap-ping,buergaspressureisreduedtoallowlongstorage

times. As atypial value ahieved in 2000, an exess

of 4x10 6

positrons were trapped. The positrons

ou-tothewallandtheyquiklythermalizewith thewalls

temperature. Thissystemwill beimprovedbyoveran

order of magnitude this year mainly by the use of a

strongersoure.

The third major stepin the ATHENA

experimen-tal sheme is the transferof the oldpositrons to the

reombination trapnext to the antiproton trap. This

isahievedbyaneletrikikonthepositronsandthe

simultaneousopenningofavauumvalveandthe

puls-ingofthe\transfermagnet". Whiletherewasasignal

learlyindiatingthetransferofthepositronstothe

an-tiprotonregion,withaneÆieny ofabout25%,there

wasnoattempt toretrap thesepartiles. This proess

isbeingpursuednowatCERN.

Afourth majoringredientis theantipartile

anihi-lation detetor. Built with a onentri layer of 192

CsIrystals whose sintilation signals aredeteted by

aphotodiode, andtwolayersof Si-stripdetetors, this

detetor assembly, with its integrated eletronis an

workatliquidNitrogentemperatureandisableof

pro-viding vertex reonstrution for an anihilation event

with 100m radial resolution and 0.7 mm axial

reso-lution. This detetion system should provide the

ex-perimentwith anunambiguosantihydrogendetetion.

The detetor has been fully alibrated and no major

improvementisrequiredforthisyear'srun.

The major milestone eagerly pursued by the

ATHENAexperimentinthenextyearsistheformation

of low-energyantihydrogen. There are a few shemes

whih an be pursued for this reombination and we

still don't know of all the details on their outome.

Whateverreombinationmethodisused,itmustyielda

suÆientnumberofantiatomsforspetrosopy,

prefer-ablyatlowtemperatures(T>1Kshould beavoided

sine this would require prohibitevely high magneti

well depths). These atoms should also be produed

inthegroundstateorinalow-lyingexitedstateand

the whole proess should happen within a short time

period.

ThebasiideafromtheATHENAteamistoshoot

theantiprotonsinaontrollablefashiononthepositron

loudin suh awaythat they would stopin the

mid-dle of it(see Fig. III) . They would then drift slowly

throughthepositron loud, in anon-trapped

ongu-ration,untiltheyreombine orsapeand arereyled

bak to the antiproton trap. This proedure ould,

in priniple, be repeated many times. This method

will ertainly ensure the mixing of the two speies at

the lowest possible relative veloities therefore

garan-teeingthebestpossiblereombinationratefora

spon-taneousreombinationproess. Toformaboundstate

ofpositronandantiprotonstartingfromfreepartiles,

momentumandenergybalanerequiresthepreseneof

(6)

e +

+p!H+h ; (1)

There are a few unknowns in this sheme whih

will be studied experimentally. The rst is how

ef-iently an one yle bak the antiprotons and

eÆ-iently keep them old. The seond is how muh of

themagnetronmotionfrom thepositronloudwillget

transferedto the antiprotons and therefore get

trans-feredto theformedantihydrogen. Inpriniple,the

ro-tating energy of the positron plasma is muh larger

than its quoted temperature. If all this energy gets

transferred intokinetienergyofthereombined

anti-hydrogenthehaneofeverapturingenoughofthese

inamagnetitrapisminimal,duetothelowmagneti

energy. On the other hand, if a very small fration,

ornone,of this energyis transfered,theantihydrogen

willomeoutofthepositronloudinalldiretionsbut

withsmallenergy. Thisisnotanidealsituationforany

imaginableexperimentthatwillhavetorelyonlong

in-terationtimesandgooddetetionolletioneÆieny.

A muh better situation would be to have an atomi

beam. In viewof this desirewe haveproposed a

sim-pleshemetogenerateanantiatomibeamaswenow

explain.

A. Formingan atomibeam

With manyentimeters of trapdimensionwehave

enoughspaetoallowthepositronloudtotravelwith

aonstantspeed whiletheantiprotonsare oming

to-wards it. The mostprobablesituation for

reombina-tionwillbewhentheantiprotonsareatrestinthe

mov-ingpositronloudframe. Onetheneutralantiatomis

formeditisnotdraggedbythepositronsanymore.The

positrons are eletrially stopped upstream while the

antihydrogen mayontinuetravellingasaoldatomi

beam. One the non-reombined antiprotons are

re-apturedbakatitsoriginaltraptheproedureanbe

repeated again. One ouldexpet, therefore,a pulsed

atomibeamoperation. Ifoneonsidersa10Kenergy

atomi beamfor alaserexitation experiment,for

ex-ample,thetypialspeedrequiredforthepositronloud

andtheoutgoingantihydrogenatomsisabout400m/s.

If the whole proess is to last a few miliseonds, the

spaerequiredforthepositronloudtomoveisabout

halfameter. Theontrolledmovementofthepositron

loud ould bemade adiabatially by the use of

mul-tipleeletrodesand theontroleletronis istrivialto

buildsineitisaslowsystem.

Ifsuhabeamanbemade,afewimediate

exper-imentsome to mind. First weould easilystudy the

angular dispersionof the beam just by looking at the

anihilationsignalatafarawaywallloselysurrounded

positronloudandthelengthoftime,onewillertainly

beabletoestimateprettywelltheenergydistribution

of theformed antihydrogen. Thirdly,knowingthe

en-ergydistribution oneaneasily onsiderthefeasibility

of performing laser spetrosopy on the 1S-2S, using

thephotoionizationmethodmentionedabove. Finally,

oneanalsoattempttolookforantigravitybythe

de-viation oftheloudfrom thetrajetorythatwouldbe

initiallyfollowedbythepositronsandantiprotonsalong

the magneti eld lines, by simply turning o the

re-etion eletripotential.

Figure4. Oneofthepossiblereombinationshemestobe

usedfortheformationofantihydrogen.

IV Physis with old

antihydro-gen

As pointed out in the introdution, the main goal of

theATHENAexperimentis totestCPTinvarianeas

preisely as possible. This will be possible at a level

of parts in 10 10

as soon asATHENA sueds in

pro-duing a old atomi beam at the energy onditions

disussed aboveand withtheexitation anddetetion

ofafewhundredantiatoms. Higherpreisionisforseen

in phaseII,when theplan is to trapthe old

antihy-drogen. Lateron,aoolingshemewillbepursued.

Antihydrogenatoms produedatlowtemperatures

are very interestingfor gravitational tests. The

mea-surement of the gravitationalproperties of

antihydro-gen is a diret test of the Weak Equivalene

Prin-iple (WEP), the ornerstone of General Relativity.

The most stringent WEP test to date was performed

by omparing the aelerations of dierent types of

matter[24℄, with a preision of 1part in 10 11

, but no

direttestofWEPhaseverbeenperformedusing

anti-matter. Afamousexperiment[6℄hasmeasureddiretly

the gravitational aeleration of eletrons, but its

re-sults were found to be inonlusive beause harged

partiles are very sensitive to stray eletri elds. It

hasbeensuggested[5℄thatantimattermaybehave

dif-ferentlyfrom matter in agravitationaleld. A diret

test of WEP on antipartiles is of fundamental

rele-vane, and antihydrogen is the ideal andidate: not

only is it neutral but also muh more massive than

positrons.Thereareurrentlysomeproposalsfor

(7)

an-that, if any of these experiments should everbe

per-formed, it will not be as preise as CPT tests.

Nev-ertheless, it is of fundamental importane to observe

whether antimatterfalls downwith thesame

aelera-tion asmatterorwith adierent aelerationoreven

if antimatter is repelled from ordinary matter; in this

latterase,oneouldtalkaboutantigravity.

V Conlusion

In this paper we presented our ontributions to the

ATHENA experiment, whih has been running for

aboutoneyear. Thisollaborationisaimedat

produ-ingantihydrogenatlowenergiessuitableforhigh

prei-siontestsofCPTinvariane. Testswillrelyonthe

om-parisonbetweenthe1S-2S transition in hydrogenand

antihydrogen,studiedthroughDoppler-freelaser

spe-trosopy. Wealsodesribedtheideaofusingthebuer

gastehniqueforloadinghydrogenintomagnetitraps

usingasimple 4

He-pumpedsystem. Thissystemis

un-derimplementationinRio,inordertomakeaportable

referenehydrogentrapforomparisonwith

antihydro-gen. Theoretialimpliationsoftheexperimentinlude

notonlyCPTviolation{atestoftheStandardModel

{ but alsodiret tests of thegravitationalouplingto

antimatter,atestoftheWeakEquivalenePriniple,a

ornerstoneofGeneralRelativity.

JusthowwellwillATHENAdointhisomparison,

is too early a question. Nature and our sienti

re-soures should still have muh to sayaboutthis very

hallengingandinterestingexperiment!

Aknowledgements

Thisresearh wasin partsupported byCNPqand

PRONEX(Brazilian agenies), andphysisdisussions

with the MIT ultraold hydrogen group, J. Doyle at

Harvard, and with ATHENA ollaboration members

arethankfullyaknowledged.

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Imagem

Figure 1. Comparison between preision tests of CPT in-
Figure 3. Shematis of the rst optial frequeny dou-
Figure 4. One of the possible reombination shemes to be

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