Study of resonance formation in the mass region 1400-1500 MeV through the reaction gamma gamma -> K0sK+-Pi-+
Full text
JHEP03(2007)018
Published by Ins i u e o Physics Publishing o SISSA
Recei ed: Decembe 12, 2006
Accep ed: Feb ua y 1, 2007
Published: Ma ch 6, 2007
S udy o esonance o ma ion in he mass egion
1400 −1500 MeV h ough he eac ion
γγ→K0
SK±π∓
L3 Collabo a ion
Abs ac : The K0
SK±π∓ inal s a e in wo-pho on collisions is s udied wi h he L3 de ec o
a LEP a e+e−cen e-o -mass ene gies om 183 o 209 GeV wi h an in eg a ed luminosi y
o 664.6 pb−1. The η(1475) and 1(1420) mesons a e obse ed and hei con ibu ion is
sepa a ed by measu ing he o ma ion a es as a unc ion o he pho on i uali y Q2. The
η(1475) is ound o be dominan o Q2≤0.01 GeV2and i s wo-pho on wid h is measu ed
o be 0.23 ±0.05 (s a .) ±0.05 (sys.) keV. A highe Q2, he 1(1420) is o med and decays
o K∗(892)K. The γγ coupling and o m ac o pa ame e s o his s a e a e measu ed
o be Γγγ = 3.2±0.6 (s a .) ±0.7 (sys.) keV and Λ1= 926 ±72 (s a .) ±32 (sys.) MeV,
espec i ely.
Keywo ds: e+-e- Expe imen s.
c
°SISSA 2007 h p://jhep.sissa.i /a chi e/pape s/jhep032007018 /jhep032007018.pd
JHEP03(2007)018
Con en s
1. In oduc ion 1
2. Mon e Ca lo gene a o s 3
3. E en selec ion 4
4. Resul s 4
4.1 Q2dependence 4
4.2 Global i 7
4.3 Sys ema ic unce ain ies 8
4.4 The η(1475) esonance 9
4.5 The 1(1420) esonance 10
4.6 The 1(1420)→K∗(892)K decay 11
5. Conclusion 11
1. In oduc ion
The s udy o esonance o ma ion by wo i ual pho ons is well sui ed o classi y q¯q s a es
in o SU(3) none s. Only C= +1 esonances can be o med and hei wo-pho on wid h
can be calcula ed in he amewo k o qua k models. As di ec gluon-pho on coupling is
o bidden, gluonium s a es a e supp essed and he absence o a well-es ablished esonance
in he wo-pho on mass spec um may be a signa u e o a gluon- ich pa onic s uc u e.
This Le e p esen s a s udy o esonance o ma ion by wo i ual pho ons in he e-
ac ion e+e−→e+e−γγ →e+e−K0
SK±π∓. Un agged wo-pho on collisions a e conside ed,
co esponding o cases whe e he ou going elec on and posi on ca y almos he ull beam
ene gy and a e no de ec ed. The da a used o his analysis we e collec ed wi h he L3
de ec o [1] a LEP a e+e−cen e-o -mass ene gies, √s, be ween 183 GeV and 209 GeV,
comp ising a o al in eg a ed luminosi y o 664.6 pb−1.
In he mass egion 1400 −1500 MeV, wo pseudoscala mesons (JP C = 0−+), η(1405)
and η(1475), and an axial ec o meson (JP C = 1++), 1(1420), a e obse ed in he
K0
SK±π∓ inal s a e [2]. The η(1405), obse ed in J/ψ(1S) adia i e decay and p¯p collisions
a es , also decays in o ηππ while he η(1475) decays p edominan ly o K ¯
Kπ. In a p e ious
Le e [3] we epo ed he obse a ion o he pseudoscala η(1475) and o he axial ec o
1(1420) in he K0
SK±π∓ inal s a e, bu no e idence was ound o he η(1405) ei he
in he K0
SK±π∓o in he ηπ+π− inal s a e. The η(1475) can be iden i ied as he i s
adial exci a ion o he η0[4, 5], while he η(1405) could be a gluonium candida e. The
– 1 –
JHEP03(2007)018
axial ec o 1(1420) was p e iously obse ed in wo-pho on collisions in he K¯
Kπ inal
s a e by se e al expe imen s [6 – 9]. A ecen sea ch o η(1475) →K0
SK±π∓by he CLEO
Collabo a ion in un agged wo-pho on e en s ga e a nega i e esul [10]. The same s udy
obse ed he p oduc ion o he axial ec o s 1(1285) and 1(1420) in agged wo-pho on
collisions [10].
This Le e p esen s an analysis o he K0
SK±π∓ inal s a e wi h he en i e L3 s a is ics
ob ained du ing he high-ene gy LEP uns. This s a is ics is 50% highe han ha used
p e iously [3]. In o de o sepa a e he 1(1420) om he η(1475), he o ma ion o he
esonances is s udied as a unc ion o he ans e se momen um squa ed o he K0
SK±π∓
sys em, P2
T. To a good app oxima ion, P2
T=Q2, whe e Q2is he la ges i uali y o he
wo in e ac ing pho ons. P oduc ion o spin-one esonances is o bidden o eal pho ons,
acco ding o he Landau-Yang heo em [11]. The e o e, a low Q2, s a es wi h spin J6= 1
domina e. The c oss sec ion o a esonance Ro mass M, spin J, pa i y P, cha ge
conjuga ion Cand wid h Γ is:
σγγ→R= 8π(2J+ 1) ΓγγΓ
(W2−M2)2+ Γ2M2F2
JP C (Q2),(1.1)
whe e Wis he wo-pho on mass, Γγγ, he wo-pho on wid h, and F2
JP C (Q2) he squa e o
he o m ac o . Fo a spin-one esonance, 1, he γγ-coupling pa ame e is de ined [2] as
Γγγ( 1) = lim
Q2→0
M2
Q2ΓTS
γγ∗,
wi h ΓTS
γγ∗ he pa ial wid h o he ans e se-scala wo-pho on in e ac ion.
In he ollowing, he model o Re e ence [12] is used. I is based on a ha d-sca e ing
app oach [13] and desc ibes he Q2dependence o he o m ac o s as:
F2
0−+(Q2) = 1
(1 + Q2/Λ2
0)2(1.2)
and
F2
1++ (Q2) = Q2
M2µ1 + Q2
2M2¶2
(1 + Q2/Λ2
1)4,(1.3)
whe e Λ0and Λ1a e pseudoscala and axial- ec o meson o m- ac o pa ame e s, espec-
i ely. The alues o Λ0and Λ1a e expec ed o be equal o he ho mass, mρ, o ligh
mesons and o be close o he esonance mass o hea ie s a es [12]. The di e en be-
ha iou o he wo o m ac o s as a unc ion o Q2is p esen ed in igu e 1.
The same model was used o he analysis o he 1(1285) →η π+π− inal s a e and
ound o ep oduce well he Q2-dependence o esonance o ma ion [14]. In con as , he
model p oposed in Re e ence [15] and used in p e ious analyses [6, 7] wi h a o m ac o
F2
1++ (Q2) = Q2
M2µ1 + Q2
2M2¶2
(1 + Q2/m2
ρ)2(1.4)
was excluded by he da a [14].
– 2 –
JHEP03(2007)018
η(1475)
1(1420)
Q2 (GeV2)
F2(Q2)
10 -1
1
0246810
Figu e 1: Dependence on Q2o he squa e o he o m ac o s o he η(1475) (solid line) and
1(1420) (dashed line) mesons. The o m ac o pa ame e s o o mulae (1.2) and (1.3) a e chosen
as Λ0= 1470 MeV and Λ1= 1420 MeV, espec i ely.
2. Mon e Ca lo gene a o s
Two Mon e Ca lo gene a o s a e used in his s udy o desc ibe wo-pho on esonance
o ma ion: EGPC [16] and GaGaRes [17].
The EGPC Mon e Ca lo desc ibes he wo-pho on p ocess as he p oduc o he lu-
minosi y unc ion o ans e se pho ons [18] and he esonance p oduc ion c oss sec ion.
I is used o une e en selec ion c i e ia and calcula e selec ion e iciencies. The de-
cay dis ibu ions o he esonance a e gene a ed acco ding o Lo en z in a ian phase-
space. Abou 105Mon e Ca lo e en s a e gene a ed o each o h ee esonance masses:
1.41 GeV,1.44 GeV and 1.48 GeV. Only one alue o he e+e−cen e -o -mass ene gy is gen-
e a ed, √s= 189 GeV, since de ec o e iciencies and Q2dis ibu ions a e ound o ha e
a e y weak dependence on √s o he ene gy ange in es iga ed. The e en s a e passed
h ough he L3 de ec o simula ion based on he GEANT [19] and GEISHA [20] p og ams.
Time-dependen de ec o e iciencies, as moni o ed du ing he da a- aking pe iod, a e also
simula ed.
The GaGaRes gene a o , which calcula es a ma ix elemen o he p ocess e+e−→
e+e−R, desc ibes he Q2dependence o esonance o ma ion acco ding o he o m ac o s
gi en in o mulae (1.2) and (1.3). I is used o compa e he expe imen al c oss sec ions
– 3 –
JHEP03(2007)018
wi h he expec a ions and o ex ac he esonance pa ame e s Γγγ(η), Γγγ( 1), Λ0and Λ1.
3. E en selec ion
The e en s a e collec ed by wo cha ged- ack igge s. The i s igge [21] equi es a
leas wo wide-angle acks, back- o-back wi hin ±41◦in he plane ans e se o he beam.
The second igge [22] is based on an a i icial neu al ne wo k which was ained o selec
low-mul iplici y e en s while ejec ing beam-gas and beam-wall backg ound.
The p ocedu e o selec e+e−→e+e−K0
SK±π∓e en s is simila o ha used in he
p e ious analysis [3]. E en s a e selec ed by equi ing ou cha ged pa icles in he cen al
acke associa ed o wo e ices: wo acks associa ed o he e+e−in e ac ion poin , and
a pai o acks coming om a seconda y e ex, co esponding o K0
Sdecay in o π+π−.
The acks mus ha e mo e han 9 hi s and he numbe o hi s mus be g ea e han 60%
o ha expec ed om he ack leng h. The seconda y e ex mus be a leas 2 mm away
om he e+e−in e ac ion poin in he plane ans e se o he beam. The mass o he
π+π−sys em, shown in igu e 2a, mus be in he ange 470 −520 MeV.
The K±and π∓ acks a e iden i ied by he dE/dxmeasu emen s shown in igu e 2b.
Fo each pai o pa icles, a join χ2is calcula ed o he hypo heses π+π−, K+K−o K±π∓.
The iden i ica ion equi es a con idence le el (CL) g ea e han 5% o he hypo hesis K±π∓
while he cha ge-conjuga e hypo hesis, K∓π±, mus ha e a CL<3%, in o de esol e he
K−πambigui y. The hypo heses π+π−and K+K−mus ha e a CL<10%. Since he
4πbackg ound is highe a low Q2, he con idence le el o dE/dxiden i ica ion o he
hypo hesis π+π−is lowe ed o 0.1% o Q2<0.12 GeV2. Fo Q2>0.4 GeV2, he dE/dx
pe o mance deg ades, bu he backg ound is lowe , he e o e e en s a e accep ed i hey
sa is y one o he ollowing equi emen s: he same dE/dxc i e ia as o he 0.12 < Q2<
0.4 GeV2 ange; all acks ha e a leas 20 hi s; he seconda y e ex is a leas 4 mm away
in he ans e se plane om he e+e−in e ac ion poin .
E en s wi h candida e pho ons a e ejec ed. An elec omagne ic clus e , wi h ene gy
g ea e han 100 MeV, is conside ed as a candida e pho on i i is sepa a ed om all acks
by mo e han 0.2 adians. E en s wi h a second K0
Scandida e a e also ejec ed.
This selec ion esul s in 820 e en s wi h a K0
SK±π∓e ec i e mass below 2.7 GeV and
Q2in he ange 0 −7 GeV2.
4. Resul s
4.1 Q2dependence
Fo he ollowing analysis, he da a is subdi ided in o i e Q2 anges lis ed in he i s
column o able 1. The co esponding K0
SK±π∓e ec i e mass spec a o he i e Q2
anges a e p esen ed in igu e 3. A clea peak be ween 1.35 GeV and 1.55 GeV is p esen
in each sub-sample. A high Q2- alues, ano he peak, which we associa e wi h he 1(1285)
meson, is also seen.
Each mass spec um o igu e 3 is i ed wi h a Gaussian unc ion o e a backg ound
unc ion o he o m (W−1.16)2exp(p1+p2W2), whe e Wis he K0
SK±π∓mass and
– 4 –
JHEP03(2007)018
0
500
1000
1500
0.45 0.5 0.55
M(π+π−) (GeV)
E en s / 4 MeV
a) L3
Momen um (GeV)
dE / dx (a bi a y uni s)
L3
b)
K candida es
π candida es
0
1
2
3
4
0 0.25 0.5 0.75 1 1.25
Figu e 2: a) Spec um o he π+π−mass be o e any o he selec ion cu . The a ows indica e he
K0
Scandida e window. b) The dE/dxdis ibu ion o cha ged pa icles a he e+e−in e ac ion
e ex.
Q2 ange ²T R (%) ²[ 1(1420)] (%) ²[η(1475)] (%) E en s M(MeV) σ(MeV)
0−0.01 92 ±2 0.51 ±0.03 0.53 ±0.03 43 ±9 1464 ±12 54 ±10
0.01 −0.12 94 ±2 0.49 ±0.05 0.45 ±0.05 40 ±9 1462 ±16 63 ±20
0.12 −0.4 91 ±2 0.82 ±0.10 0.79 ±0.09 32 ±7 1426 ±9 32 ±8
0.4−0.9 83 ±2 1.19 ±0.15 1.25 ±0.15 45 ±9 1453 ±9 42 ±9
0.9−7 67 ±5 1.92 ±0.24 1.78 ±0.22 33 ±10 1431 ±19 32 ±10
Table 1: Resul s o a Gaussian i o he peaks o he mass spec a o igu e 3. Fo each Q2 ange
he igge e iciency, ²T R, he o e all e iciency o he esonances, ², he numbe o e en s, he mass,
M, and he wid h, σ, o he Gaussian peak a e p esen ed. All unce ain ies a e s a is ical only.
– 5 –
JHEP03(2007)018
0
10
20
1 1.5 2 2.5 0
10
20
1 1.5 2 2.5
0
10
20
1 1.5 2 2.5 0
10
20
1 1.5 2 2.5
M(K0
S
K±π ) (GeV)
E en s / 40 MeV
±
L3 Da a
Fi
Bkgd
b)
d)
a)
c)
e)
0
10
20
1 1.5 2 2.5
Figu e 3: The K0
SK±π∓e ec i e mass spec a o i e Q2bins: a) 0 −0.01 GeV2; b) 0.01 −
0.12 GeV2; c) 0.12 −0.4 GeV2; d) 0.4−0.9 GeV2; e) 0.9−7 GeV2. Fi s o a Gaussian unc ion
o e a Q2-dependen backg ound a e supe imposed on he da a. Fo spec a wi h Q2>0.12 GeV2,
an addi ional Gaussian unc ion, ep esen ing he 1(1285), is added wi h ixed mass and wid h:
M= 1282 MeV and σ= 20 MeV.
1.16 GeV is he edge o he mass spec um. Fo he spec a abo e Q2>0.12 GeV2,
an addi ional Gaussian unc ion, ep esen ing he 1(1285), is added wi h a ixed mass,
M= 1282 MeV [2], and a ixed wid h co esponding o he expe imen al mass esolu ion,
σ= 20 MeV.
The peak yield o each Q2- ange is p esen ed in able 1 oge he wi h he mass and
wid h ob ained by he i . Table 1 also p esen s he igge e iciencies. These a e e alua ed
by using he da a hemsel es compa ing he a es o wo independen igge s. The selec ion
e iciencies a e also lis ed in he able. They a e de e mined as he a io o selec ed o
gene a ed Mon e Ca lo e en s in he mass ange a ound he esonance peak. The e iciencies
a e es ima ed o each Q2in e al. The igge e iciency dec eases a highe Q2due o he
back- o-back equi emen imposed on he acks. In con as , he geome ical accep ance
– 6 –
JHEP03(2007)018
Q2 (GeV2)
E en s
L3
a)
Da a
η(1475)
1(1420)
0
25
50
75
100
10 -3 10 -2 10 -1 1
Q2 (GeV2)
E en s / ∆Q2 (1/GeV2)
L3
b)
Da a
Global i
η(1475)
1(1420)
1
10
10 2
10 3
10 4
10 -3 10 -2 10 -1 1
Figu e 4: a) Numbe o e en s ob ained by he Gaussian i p esen ed in able 1 and igu e 3
compa ed o Mon e Ca lo p edic ions in p esence o a single esonance, ei he he η(1475) (do ed-
dashed line) o he 1(1420) (dashed line). b) Numbe o e en s pe ∆Q2 ange obse ed in da a,
oge he wi h he esul s a global i (solid line) including wo con ibu ions: 1(1420) (dashed line)
and η(1475) (do ed-dashed line). In bo h igu es he unce ain ies a e s a is ical only.
o he de ec o inc eases wi h inc easing Q2.
The numbe s o e en s in he peak a e compa ed in igu e 4a o he expec a ions o
he GaGaRes Mon e Ca lo o he o ma ion o a single pseudoscala meson, η(1475), o
a single axial- ec o meson, 1(1420). A χ2compa ison o he i e bins o his his og am
gi es a con idence le el o 3×10−4 o he 1(1420) hypo hesis and 6×10−9 o he η(1475)
hypo hesis. The e o e he da a canno be desc ibed by a single pseudoscala o axial- ec o
meson: bo h s a es mus be included in a i o he mass spec a. In addi ion, he e is no
e idence ha also he o ma ion o η(1405) o 1(1510) mus be included, consis en wi h
a gluon- ich pa onic s uc u e o hese s a es.
4.2 Global i
The i e K0
SK±π∓mass spec a a e i ed simul aneously wi h a binned maximum-
likelihood me hod, using a mass bin o 5 MeV,1in he hypo hesis o he p esence o bo h
pseudoscala and axial- ec o esonances. The ela i e yield o he esonances as a unc-
ion o Q2is ixed acco ding o he GaGaRes p og am. Each esonance is desc ibed by he
con olu ion o a B ei -Wigne unc ion wi h a Gaussian esolu ion unc ion es ima ed by
Mon e Ca lo. The esolu ion is o he o de o σ= 20 MeV.
The ee pa ame e s o he i a e: he mass o each esonance; he η(1475) wid h; he
Λ1pa ame e o he 1(1420) o m ac o and he o e all no malisa ion o each esonance.
The 1(1420) wid h is ixed o he wo ld a e age alue, Γ = 55 MeV [2]. I his pa ame e
is le ee he i becomes uns able. The Λ0pa ame e o he η(1475) o m ac o canno
1The bin wid h was a ied be ween 2 MeV and 6 MeV and no signi ican di e ence in he esul s was
obse ed.
– 7 –
JHEP03(2007)018
S a e E en s M(MeV) Γ (MeV) ΓγγBR(K¯
Kπ) (keV) Λ (MeV)
1(1420) 133 ±23 1434 ±5±5 ixed o 55 3.2±0.6±0.7 926 ±72 ±31
η(1475) 74 ±16 1469 ±14 ±13 67 ±18 ±7 0.23 ±0.05 ±0.05 ixed o 1470
Table 2: Resul s o a global i o he mass spec a o igu e 5. The numbe o e en s, he mass, M,
and he wid h, Γ, o he 1(1420) and η(1475) B ei -Wigne unc ions a e gi en. The wo-pho on
wid h o he wo-pho on coupling pa ame e , Γγγ, imes he b anching a io o he decay o K ¯
Kπ,
BR(K¯
Kπ), a e ex ac ed om he c oss sec ions, es ima ed wi h he GaGaRes p og am om he
i ed numbe o e en s and he e iciencies o he esonances. The o m ac o pa ame e , Λ, is also
lis ed. The i s unce ain y is s a is ical, he second sys ema ic.
M(η(1475)) Γ(η(1475)) Γγγ (η(1475)) M( 1(1420)) Γγγ ( 1(1420)) Λ( 1(1420))
BR(K ¯
Kπ) BR(K ¯
Kπ)
M(η(1475)) 1
Γ(η(1475)) −0.20 1
Γγγ (η(1475))BR(K ¯
Kπ) 0.09 −0.42 1
M( 1(1420)) −0.06 −0.11 −0.02 1
Γγγ ( 1(1420))BR(K ¯
Kπ) 0.38 −0.21 0.11 0.08 1
Λ( 1(1420)) −0.28 0.20 −0.20 −0.04 −0.69 1
Table 3: Co ela ion coe icien s o he ee pa ame e s o he global i shown in igu e 5.
be de e mined as mos o he η(1475) da a is in a single bin. I is ixed o he heo e ical
alue 1470 MeV [12].
As in he p e ious i a Q2-dependen backg ound is used. The pa ame e s p1and p2
o he backg ound a e de e mined sepa a ely in each Q2in e al and he 1(1285) is added
o he backg ound unc ion in he high Q2in e als.
The esul s o he i a e gi en in able 2 and p esen ed in igu es 4b and 5. The
p oduc ion c oss sec ion is calcula ed om he numbe o e en s, he e iciency and he
luminosi y. The wo-pho on wid h is hen ex ac ed by compa ing his c oss sec ion o
ha es ima ed by he GaGaRes p og am. The co ela ion coe icien s o he pa ame e s
o in e es a e gi en in able 3. A χ2compa ison o his i o he i e bins p esen ed in
igu e 4b gi es a con idence le el o 22%. The o al numbe o e en s in he 1(1285) peak
is ound o be 19.8±4.4. The limi ed s a is ics and he unce ain ies o he e iciency
co ec ions a h eshold p e en u he in es iga ion o he o ma ion o his esonance.
4.3 Sys ema ic unce ain ies
Di e en sou ces o sys ema ic unce ain ies on he η(1475) and 1(1420) pa ame e s a e
conside ed, as lis ed in able 4. They a e es ima ed by a ying he selec ion cu s, he ixed
pa ame e s o he i and aking in o accoun he unce ain ies on he o al e iciencies:
•The K0
Smass window, shown by he a ows in igu e 2a, is ex ended o 465−525 MeV
and na owed o 475 −515 MeV.
•The cu on he dis ance, in he ans e se plane, o he K0
Sdecay e ex om he
in e ac ion poin is a ied o 3 mm o Q2<0.4 GeV2and o 4 mm o highe Q2.
– 8 –
JHEP03(2007)018
17 INFN Sezione di Fi enze and Uni e si y o Flo ence, I-50125 Flo ence, I aly
18 Eu opean Labo a o y o Pa icle Physics, CERN, CH-1211 Gene a 23, Swi ze land
19 Wo ld Labo a o y, FBLJA P ojec , CH-1211 Gene a 23, Swi ze land
20 Uni e si y o Gene a, CH-1211 Gene a 4, Swi ze land
21 Uni e si y o Hambu g, D-22761 Hambu g, Ge many
22 Chinese Uni e si y o Science and Technology, USTC, He ei, Anhui 230 029, China4
23 Uni e si y o Lausanne, CH-1015 Lausanne, Swi ze land
24 Ins i u de Physique Nucl´eai e de Lyon, IN2P3-CNRS,Uni e si ´e Claude Be na d, F-69622
Villeu banne, F ance
25 Cen o de In es igaciones Ene g´e icas, Medioambien ales y Tecnol´ogicas, CIEMAT, E-28040
Mad id, Spain[
26 Flo ida Ins i u e o Technology, Melbou ne, FL 32901, USA
27 INFN-Sezione di Milano, I-20133 Milan, I aly
28 Ins i u e o Theo e ical and Expe imen al Physics, ITEP, Moscow, Russia
29 INFN-Sezione di Napoli and Uni e si y o Naples, I-80125 Naples, I aly
30 Depa men o Physics, Uni e si y o Cyp us, Nicosia, Cyp us
31 Radboud Uni e si y and NIKHEF, NL-6525 ED Nijmegen, The Ne he lands
32 Cali o nia Ins i u e o Technology, Pasadena, CA 91125, USA
33 INFN-Sezione di Pe ugia and Uni e si `a Degli S udi di Pe ugia, I-06100 Pe ugia, I aly
34 Nuclea Physics Ins i u e, S . Pe e sbu g, Russia
35 Ca negie Mellon Uni e si y, Pi sbu gh, PA 15213, USA
36 INFN-Sezione di Napoli and Uni e si y o Po enza, I-85100 Po enza, I aly
37 P ince on Uni e si y, P ince on, NJ 08544, USA
38 Uni e si y o Cali o na, Ri e side, CA 92521, USA
39 INFN-Sezione di Roma and Uni e si y o Rome, “La Sapienza”, I-00185 Rome, I aly
40 Uni e si y and INFN, Sale no, I-84100 Sale no, I aly
41 Uni e si y o Cali o nia, San Diego, CA 92093, USA
42 Bulga ian Academy o Sciences, Cen al Lab. o Mecha onics and Ins umen a ion, BU-1113 So ia,
Bulga ia
43 The Cen e o High Ene gy Physics, Kyungpook Na ional Uni e si y, 702-701 Taegu, Republic o
Ko ea
44 Na ional Cen al Uni e si y, Chung-Li, Taiwan, China
45 Depa men o Physics, Na ional Tsing Hua Uni e si y, Taiwan, China
46 Pu due Uni e si y, Wes La aye e, IN 47907, USA
47 Paul Sche e Ins i u , PSI, CH-5232 Villigen, Swi ze land
48 DESY, D-15738 Zeu hen, Ge many
49 Eidgen¨ossische Technische Hochschule, ETH Z¨u ich, CH-8093 Z¨u ich, Swi ze land
§Suppo ed by he Ge man Bundesminis e ium ¨u Bildung, Wissenscha , Fo schung und
Technologie.
‡Suppo ed by he Hunga ian OTKA und unde con ac numbe s T019181, F023259 and T037350.
¶Also suppo ed by he Hunga ian OTKA und unde con ac numbe T026178.
[Suppo ed also by he Comisi´on In e minis e ial de Ciencia y Tecnolog´ıa.
]Also suppo ed by CONICET and Uni e sidad Nacional de La Pla a, CC 67, 1900 La Pla a,
A gen ina.
4Suppo ed by he Na ional Na u al Science Founda ion o China.
†Deceased.
– 15 –
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