prospects of hyperon physics with - ictp – saifr · 2019. 3. 2. · hyperon quarks cτ [cm] α...
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![Page 1: Prospects of Hyperon Physics with - ICTP – SAIFR · 2019. 3. 2. · Hyperon Quarks cτ [cm] α Decay B.R Λ uds 7.9 +0.64* pπ-.64 Σ+ uus 2.4 -0.98 pπ0.52 Σ0 uds 2.2x10-9 - Λγ](https://reader035.vdocuments.mx/reader035/viewer/2022062609/60ffd9d652965b29ca009722/html5/thumbnails/1.jpg)
Prospects of Hyperon Physics with
Tord Johansson
Uppsala University
ICTP-SAIFR/FAIR Workshop on mass generation in QCD São Paulo 2019
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The PANDA experiment at FAIR
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Focus on Day 1 antihyperon-hyperon pair production in antiproton-proton collisions.
• What do we know from experiments today?
• What new information will PANDA provide?
• + a little bit on EM Processes
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To learn about a system you can
• Scatter on it
• Excite it
• Replace one of the building blocks
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“How are baryon structure and interaction affected by replacing light quarks by strange quarks?”
ValidityofSU(3)f,SU(6)
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• Systems with strangeness - Scale: ms ≈ 100 MeV ΛQCD ≈ 200 MeV. - Probes QCD in the confinement domain.
#6
• Systems with charm - Scale: mc ≈ 1300 MeV - Probes QCD approaching pQCD.
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Hyperons are a laboratory for strong interaction and baryon structure
Questions
Interaction
Structure
Symmetries
Hyperons as diagnostic tool
Observables
Production
Form factors
Spectroscopy
Decays
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Conven!onalstates
nng ... ssg ccg
ggg ... gg
light qq / ssf2 K K* ...
ccJ/ c cJ
qqqq ccqqssqq
nng
light qq / ssf2 K K* ...
qqqq ssq
c cDDDsD s
c c
c c
c c
Hybrids
Molecules4-quarks
1 2 3 4 5 6
0 2 4 6 8 10 12 15
s = m [GeV / c2]
pmomentum [GeV / c ]HESRRange
Strangeandcharmedhyperonsareaccessibleto
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Antiproton-proton reactions are excellent entrance channels for hyperon studies: strong int. processes high x-sec’s.
pp→YYp
p
DU
U
D
U
U
DU
S
D
S
UΛ (Σ0)
Λ (Σ0)3)
DU
U
D
U
U
S
S
Ω-
Ω-S
SS
S
p
p
p
p
DU
U
D
U
U
U
S
S
UΞ0
Ξ0S
S
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experimentalsitua>ontodaypp→YY
0,01
0,1
1
10
100
1000
1,4 1,5 1,6 1,7 1,8 1,9 2 2,1Momentum [GeV/c]
2 4 6 8 10 12 14Momentum [GeV/c]
σ [µ
b]
pp→ ΛΛ→ ΛΣ0 + c.c.→ Σ−Σ+
→ Σ0 Σ0
→ Σ+ Σ−
→ Ξ0Ξ0
→ Ξ+Ξ−
ΛcΛcΞΞ ΩΩΛΣ0 ΣΣΛΛ
σ tot
pp→ΛΛΞΞ
ThresholdregionforismappedoutbyPS185@LEAR.Handfulofeventsfrombubblechamberexpt’s,otherwisemultiplestrangeandcharmedhyperonsareterraincognita.
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0,01
0,1
1
10
100
1,4 1,5 1,6 1,7 1,8 1,9 2
p+pm ,+,
p+pm 3+, + c.c
p+pm 3+3
p+pm 3 +3
S [M
b]
Momentum [GeV/c]
P-waves already at 1 MeV above threshold. No sign of resonances near threshold. #11
Phase space increases as ε L+1/2
Excess energy = ε = s − m final∑
0
2
4
6
8
10
12
0 1 2 3 4 5 6 7
σ[µb]
ε [MeV]
pp→Λ Λ
ε 3/2
ε1/2
PLB331(94)203
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0,01
0,1
1
10
100
1000
1,4 1,5 1,6 1,7 1,8 1,9 2 2,1Momentum [GeV/c]
2 4 6 8 10 12 14Momentum [GeV/c]
σ [µ
b]
pp→ ΛΛ→ ΛΣ0 + c.c.→ Σ−Σ+
→ Σ0 Σ0
→ Σ+ Σ−
→ Ξ0Ξ0
→ Ξ+Ξ−
ΛcΛcΞΞ ΩΩΛΣ0 ΣΣΛΛ0,01
0,1
1
10
100
1,4 1,5 1,6 1,7 1,8 1,9 2
p+pm ,+,
p+pm 3+, + c.c
p+pm 3+3
p+pm 3 +3 S
[Mb]
Momentum [GeV/c]σ (pp→Σ+Σ+)≈σ (pp→Σ−Σ−)
σ (pp→Σ+Σ+)≈σ (pp→Σ−Σ−)
p
p
UU
D
UD
U
UU
S
U
S
UΣ+
Σ+
p
p
DUU
U
U
D
D
S
S
D
D
D
Σ-
Σ-
OZIruleviolation? orcoupled-channel
effect? p
p
Λ
Λ Σ-
Σ-
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0
10
20
30
40
1.771 GeV/c
p+p->,,
dS/d
7 [M
b/sr
]
0
2
4
6
1.771 GeV/c
p+p->,3 + c.c.
dS/d
7 [M
b/sr
]
0
0,5
1
-1 -0,5 0 0,5 1
1.922 GeV/c
p+p->3+3
dS/d
7 [M
b/sr
]
cosQcm
dσ / dΩ
10
100
1000
-1,4 -1,2 -1 -0,8 -0,6 -0,4 -0,2 0
14 MeV25 MeV39 MeV73 MeV92 MeV118 MeV141 MeV170 MeV196 MeV
ds/d
t' [ M
b/(G
eV/c
)2 ]
t' [(Gev/c)2]
ppm,,
c o sQc m > -.8
ε
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0,1
1
10
100
1000
-2 -1,5 -1 -0,5 0t’ [(GeV/c)2]
dσ/d
t’ [µ
b/(G
eV/c)
2 ]pp→ ΛΛ
1,6 GeV/c2 GeV/c6 GeV/c
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Quantity Unpolarised beamUnpolarised target
Polarised beamUnpolarised target
Unpolarised beamPolarised target
Polarised beamPolarised target
Differentialcross section
I0000 Ai000 Aojoo Aij00
Polarisaton ofscattered particle
P00μ0 Di0μ0 K0jμ0 Mijμ0
Polarisation ofrecoil particle P000ν Κi00ν D0j0μ Nij0ν
Correlation ofpolarisations
C00μν Ci0μν C0jμν Cijμν
Observables
Indices refer to the spin projection of the beam, target, scattered and recoil particles ( = 0 spin average)
I = D = DepolarisationP = Polarisation K = Polarisation transferA = Asymmetry C, M, N = Spin correlations
dσ / dΩ
256observables!!
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Symmetries
8 measurable with an unpolarised beam and target
256 40 independent observables
24 measurable with an unpolarised beam and a transversely polarised target
• Parity conservation• Charge conjugation invariance• Geometrical identities• pp→ ΛΛ
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#17
to
without polarisation filter with polarisation filter
I(cosθ p ) = N(1+αΛPΛ cosθ p )
The parity-violating weak hyperon decay gives access to spin observables.
Λ→ p +π −
Polarimeter
Spin obsrevables
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I0 = σtot
I(θ) = dσ/dΩ
Pn = Polarisation
Cij = Spin correlations
IΛΛ θ , k1, k2( ) = I0ΛΛ
64π 3
1
+Py αk1y +αk2 y( )+Cyy ααk1yk2 y( )+Cxx ααk1xk2x( )+Czz ααk1zk2z( )+Cxz αα k1xk2z + k1zk2x( )( )
⎡
⎣
⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢
⎤
⎦
⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥
Unpolarisedbeamandtarget
pp→ΛΛ→ ( pπ + )( pπ − )
x = y × z
y =pbeam × pΛpbeam × pΛ
z = pΛ
θ Λ
Λ
k1 y
zx
xzy
θp
pp
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Hyperon Quarks cτ[cm] α Decay B.R
Λ uds 7.9 +0.64* pπ- .64Σ+ uus 2.4 -0.98 pπ0 .52Σ0 uds 2.2x10-9 - Λγ ≈1.0
Σ- dds 4.4 -0.07 nπ- ≈1.0Ξ0 uss 8.7 -0.41 Λπ0 ≈1.0
Ξ- dss 4.9 -0.46 Λπ- ≈1.0
Ω- sss 2.5 0.02 ΛK- .68
Λ+c udc 6.0x10-3 -0.91 Λπ+ .01
*PDG2018
Hyperon Quarks cτ[cm] α Decay B.R
Λ uds 7.9 +0.64* pπ- .64Σ+ uus 2.4 -0.98 pπ0 .52Σ0 uds 2.2x10-9 - Λγ ≈1.0
Σ- dds 4.4 -0.07 nπ- ≈1.0Ξ0 uss 8.7 -0.41 Λπ0 ≈1.0
Ξ- dss 4.9 -0.46 Λπ- ≈1.0
Ω- sss 2.5 0.02 ΛK- .68
Λ+c udc 6.0x10-3 -0.91 Λπ+ .01
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PolarisationPS185/2 Polarization
-1
0
1 0.7555 / 3P1 0.3055P2 0.1640E-01P3 -0.6032E-01P y
-1
0
1
-1
0
1 2.990 / 3P1 0.3690P2 0.3317E-01P3 -0.3054E-01P y
-1
0
1
-1
0
1 1.872 / 3P1 0.3780P2 -0.6667E-01P3 0.1084E-01P y
-1
0
1
-1
0
1 4.430 / 3P1 0.3969P2 -0.2431E-01P3 -0.1260E-01P y
-1
0
1
-1
0
1
-1 -0.5 0 0.5 1
0.8569 / 3P1 0.6812E-01P2 0.1839P3 -0.5428E-01
cos Q*,_
P y
-1
0
1
-0.3 -0.2 -0.1 0
ta (GeV/c)2
E=0.
57 M
eV
1681
Eve
nts
E=1.
71 M
eV
1335
Eve
nts
E=2.
71 M
eV
1062
Eve
nts
E=3.
95 M
eV
905
Even
ts
E=12
.85
MeV
1023
Eve
nts
Interference between different partial waves
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t' [(GeV/c) ]2
Exesss e
nergy [M
eV]
Pola
risat
ion
t' [(GeV/c) ]2
Pola
risat
ion
E = 14 MeV
E = 25 MeV
E = 39 MeV
E = 73 MeV
E = 92 MeV
E = 118 MeV
E = 141 MeV
E = 170 MeV
E = 196 MeV
pp→ΛΛ
Polarisation
Interference between different partial waves
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DU
U
D
U
U
S
S
Ω-
Ω-S
SS
S
p
p
p
p
DU
U
D
U
U
DU
S
D
S
UΛ (Σ0)
Λ (Σ0)3)
p
K+
p Λ
Λ⇔
p
K+
p Ξ0
Ξ0K0
⇔
K+ K0Ω-
Ω-
K+
p
p
⇔
p
p
DU
U
D
U
U
U
S
S
UΞ0
Ξ0S
S
Constituentquarkvs.mesonexchangemodel
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Both “Quark Inspired” and Meson Exchange models give reasonable FIT to data
p
p
• •• •
• •
• •• •
• •
• •• •
••
• •••
• • p
K+
p Both approaches must include ISI and FSI. ISI: not well know FSI: unknown Much freedom in fitting the optical potential describing the FSI
Phys. Rep 368 (2002) 119 and refs. therein
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Spin correlations
-0.5
0
0.5
1
1.5
0 50 100 150 200
ppm,,
Sing
let F
ract
ion
Excess energy [MeV]
S = 0
S = 1Stat.
pp→ Σ0Λ + c.c.
The expectation value of the spin-singlet operator, “Singlet Fraction (FS)”:
= 1 if singlet, = 0 if triplet, = 1/4 if uncorrelated.
FS =1−!σ1 ⋅!σ 2( )
4=
1+Cxx −Cyy +Czz( )4
-pairsareproducedwithparallelspin.ΛΛ (ss)t' [(GeV/c) ]2-1.5 -1 -0.5 0
C
1
0
-1
C
1
0
-1
C
1
0
-1
C
1
0
-1
ll
nn
mm
ml
Cxx
Cyy
Czz
Cxz
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Two gluon exchange: 3P0+ vertex
p
p
DU
U
D
U
U
DU
S
D
S
UΛ
Λ3)
p
p
DU
U
D
U
U
DU
S
D
S
UΛ
Λ3)
The -pair is produced with parallel spinΛΛ
ΛΛ• The spin of the Λ is essentially carried by the strange quark
the parallel spins are related to the production mechanism
One gluon exchange: 3S1- vertex
p
p
DU
U
D
U
U
DU
S
D
S
UΛ
Λ3)
triplet spinΛΛ
p
K+,K+*
p Λ
ΛK + ,K2
+*
K2*
ΔℓIncluding exchange involvesa = 2 transition (spin-flip)
triplet spinΛΛ
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φ = angle between the normal of the scattering plane and target polarisation
I pp θ ,φ, k1, k2( ) = I0ΛΛ
64π 3
1
+ Py αk1y +αk2 y( )+ C00 yy ααk1yk2 y( )+ C00xx ααk1xk2x( )+ C00zz ααk1zk2z( )+ C00xz αα k1xk2z + k1zk2x( )( )+ A00 y0 P
T cosφ +ααPTk1yk2 y cosφ( )+ K0 yy0 αPTk1y cosφ( )+ D0 y0 y αPTk2 y cosφ( )+ K0xx0 αPTk1x sinφ( )+ K0xz0 αPTk1z sinφ( )+ D0x0x αPTk2x sinφ( )+ D0x0z αP
Tk2z sinφ( )+ C0 yxx ααPT k1xk2x cosφ − k1zk2z( )( )+ C0 yxz ααP
Tk1xk2z cosφ( )+ C0 yzx ααPTk1zk2x cosφ( ) + C0xxy ααPTk1xk2 y sinφ( )+ C0xzy ααPTk1zk2 y sinφ( )+ C0xyx ααPTk1yk2x sinφ( )+ C0xyz ααP
Tk1yk2z sinφ( )
⎡
⎣
⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢
⎤
⎦
⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥
Unpolarisedbeamandtransverselypolarisedtarget
D0y0y : polarisation transfer from p to ΛK0yy0 : polarisation transfer from p to Λ
θ Λ
Λ
k1 y
zx
xzy
θp
pp
φ
ˆpp
PT y
z
x
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PRL 89 (2002) 212302-1
PS185/3: p!p→ ΛΛ @ 1637 MeV / c
KnnKyy = Spin transfer !p→Λ
Dnn
"Quark-Gluon model"
Meson exchange
Intri
nsic
stran
gene
ssPo
larise
d gu
onsDyy = Spin transfer !p→Λ
Practically no spin transfer from proton to Λ.Spin transfer from proton to ?Λ
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The spin structure of the transition matrix contains 16 complex amplitudes in terms of spin operators and momentum vectors.
Parity conservation and charge conjugation invariance brings this down tosix complex amplitudes
Mpp→ΛΛ = 12
(a + b)+ (a − b)!σ1 ⋅ y ⋅
!σ2 ⋅ y
+ (c + d )!σ1 ⋅ x ⋅
!σ2 ⋅ x
+ (c − d )!σ1 ⋅ z ⋅
!σ2 ⋅ z
+ e!σ1 +
!σ2( ) ⋅ y( )
+ g!σ1 ⋅ x ⋅
!σ2 ⋅ z+
!σ1 ⋅ z ⋅
!σ2 ⋅ x( )
⎡
⎣
⎢⎢⎢⎢⎢⎢⎢
⎤
⎦
⎥⎥⎥⎥⎥⎥⎥
The complex matrix parameters a, b, c, d, e, g are functions of the polar scattering angle and contains the dynamics of the interaction.
Transition matrix
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24 measured observables relate to 11 real parameters + one arbitrary phase of the scattering matrix.
The knowledge of thescattering matrix can beused to extract unmeasuredobservables!
More observables thanunknowns
The complete scatteringmatrix can be determined!
I0 = 12a
2+ b
2+ c
2+ d
2+ e
2+ g
2 I0C00 yy = 1
2a
2− b
2− c
2+ d
2+ e
2+ g
2 I0D0 y0 y = 1
2a
2+ b
2− c
2+ d
2+ e
2− g
2 I0K0 yy0 = 1
2a
2− b
2+ c
2− d
2+ e
2− g
2 I0P000 y = I0P00 y0 = Re a*e( )− Im d*g( )I0A0 y00 = I0C0 yyy = Re a*e( )+ Im d*g( )I0C00xz = I0C00zx = Re a*g( )+ Im d*e( )I0C0 yxx = − I0C0 yzz = Re d*e( )+ Im a*g( )I0C00xx = Re a*d + b*c( )+ Im e*g( )I0C00zz = Re −a*d + b*c( )− Im e*g( )I0C0 yzx = Re e*g( )+ Im −a*d + b*c( )I0C0 yxz = Re e*g( )+ Im −a*d − b*c( )I0D0x0x = Re a*b+ c*d( )I0C0xyz = Im −a*b+ c*d( )I0K0xx0 = Re a*c + b*d( )I0C0xzy = Im −a*c + b*d( )I0C0xyx = Re b*e( )− Im c*g( )I0D0x0z = Re c*g( )+ Im b*e( )I0K0xz0 = Re b*g( )+ Im c*e( )I0C0xxy = Re c*e( )− Im b*g( )
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C0lmn
C0lnm
Cmmon Cmlmm
Cmlml Cll00
C0zxy
C0zyx
Cxx0y Cxzxx
Cxzxz Czz00
Extracted unmeasured spin observables
PRC 76 (2006) 015206
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e.g. 12→ 1
2+ 0 Ξ→ Λπ → ( pπ ),Λc( )
I θΛ( ) = 1+αΞPΞ cosθΛ
Ξrestframe:
θ
Λy
zxθ
pp
px
ˆ
ˆp
py
pz
Multiple strange hyperons => sequential decays
α = 2ReS*PS 2 + P 2
β = 2ImS*PS 2 + P 2
γ =S 2 − P 2
S 2 + P 2
α 2 + β 2 + γ 2 = 1
⎛
⎝
⎜⎜⎜⎜⎜⎜⎜⎜⎜
⎞
⎠
⎟⎟⎟⎟⎟⎟⎟⎟⎟
Λrestframe:px = py × pz
py =yΞ × pΛyΞ × pΛ
pz = pΛ
I θ p,x( ) = 1− π4αΛγ ΞPΞ cosθ p,x = 1− π
4αΛγ ΞPΞ px
I θ p,y( ) = 1+ π4αΛβΞPΞ cosθ p,y = 1+ π
4αΛβΞPΞ py
I θ p,z( ) = 1+αΛαΞ cosθ p,z = 1+αΛαΞ pz
Asymmetryparameters.
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CPviolation•Hasneverbeenobservedforbaryons.
•CPviolationparameters:
•CPinvariance:and.α =α β = β
•TheprocessissuitablefortestsofCPinvariance(clean).pp→YY
A = Γα + ΓαΓα − Γα
!α +αα −α
B = Γβ + ΓβΓβ − Γβ
!β + ββ − β
B ' = Γβ + ΓβΓα − Γα
!β + βα −α
PDG:0.006±0.021αΛ(0.0±5.1±4.4)x10-4αΞαΛ
PS185tot:0.006±0.014≈200000events
High statistics with !!
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W. Ikegami Andersson
Simulations @ 1.64 GeV/c 100k events
pp→ΛΛ
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ProspectsDay1luminosity
Momentum[GeV/c]
Reaction σ[μb] Efficiency[%] Rate£=1031cm-2s-1
1.64 64 10 ≈30s-1
4 ≈40 30 ≈30s-1
4 ≈2 20 ≈1.5s-1
12 (2x10-3) 30 (≈4h-1)12 (0.1x10-3) 35 (≈2day-1)pp→Λc
−Λc+
pp→Ω+Ω−
pp→Ξ+Ξ−
pp→ΛΣ0pp→ΛΛ 😊
😊😊
😐?
Firstsimulationsshowthatthesechannelscanbereconstructedessentiallyfreeofbackground.
Gainof100withaninclusivemeasurement
😐
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• The weak hyperon decay gives access to polarisation and spin correlations. Access to spin degrees of freedom in strange (charm) quark-pair creation. Many observables
PWA of the data to extract relevant quantum numbers high discriminating power between models (hadron vs. quark-gluon based)
CP-violation tests: , A-parameter , B-parameter
pp→ΛΛpp→ΞΞ
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Hyperon Structure
Transitions Form Factors accessible from Dalitz decays, e. g. Σ0, Λ(1520).
🙁 Small predicted BR’s (10-3 - 10-6). (No data exist)
🙂 Large hyperon production cross sections.
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Electromagnetic Form Factors provide the most direct access to the spatial charge and magnetisation distributions.
B(p2 )
e (k1)
*(q)
e+ (k2 )
B(p2 )
B(p2 )B(p1 )
e (k1) e (k2)
*(q)
spacelike timelikeRe (q2 )
Im (q2 )
Data regionUnphysical region
Time-like regionEMFFs are complex
Space-like regionEMFFs are real
Data regione+e BBe B e B
sth = (2M )2 sphy = (2MB )2
−q2 =Q2 q2
Dispersion relations
This is given fot a hadron with spin S by 2S+1 Form Factors.
pp→ e+e−π 0
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B(p2 )
B(p1 )e (k1)
e (k2)
*(q)
EM vertex well known
Baryon vertex
Baryon vertex matrix element: Γµ = F1B(q2 )γ µ + κ
2MB
F2B(q2 )iσ µνqν
The Dirac (F1(q2)) and Pauli (F2(q2)) EMFF’s is related to the charge (GE) and magnetization (GM) (Sachs) EMFF’s via the relations:
GE 0( ) = ZGM (0) = Z +κ = µB
GE = F1 −τF2 ; τ= q2
4MB2
GM = F1 + F2 #38
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#39
The Space-Like Sachs FF´s correspond to the Fourier transformations of the charge and magnetic spatial distributions in the Breit frame ( ). (The situation is more complicated.)
q = (0, !q)
The Space-Like EEMFF is obtained from elastic electron scattering in terms of and (Rosenbluth separation) as:GE
2 GM2
dσdΩ
= dσdΩ
⎛⎝⎜
⎞⎠⎟ Mott
EeEbeam
11+τ GE
2 + τεGM2⎛
⎝⎜⎞⎠⎟;τ = Q2
4Mp2
ε = 11+2(1+τ )tan2θe /2
= virtual photon polarisation
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#40
The linear dependence on τ in ε makes it possible to define a reduced cross section as
σ red =ε(1+τ )
τEe
Ebeam
dσdΩ
/ dσdΩ
⎛⎝⎜
⎞⎠⎟ Mott
= GM2 + ε
τGE
2
=> σred is expected to have linear dependence on ε at a given Q2 with a slope proportional to to and with the intercept . GE
2 GM2
difficult to measure at high Q2GE
2
GE2 and are extracted from fits to the
data from measurements of the cross section at a given Q2 at different energies (ε).
GM2
#40
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#41
Bartosetal.NP219-220(2011)166
]2t [GeV-5 0 5 10 15
|p E|G
-210
-110
1
10
210
]2t [GeV-5 0 5 10 15
|p M
|G
-210
-110
1
10
210
310
SLTL
KellyPRC66(2002)065203
Proton EMFF
GE and GM are analytical functions of q2
- low q2 probes the size of the baryon - high q2 tests perturbative QCD
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#42
dσd cosθ
= α 2βC4q2 GM
2 1+ cos2θ( )+ 1τGE
2 sin2θ⎛⎝⎜
⎞⎠⎟ ;
τ = q2
4mB2 , β = 1−1/τ , C = Coulomb factor = y/(1-e− y ), y = πα / β
The differential cross section at one energy is sufficient to extract the modulii of |GE| and |GM| 😊.
The Time-Like differential cross section in the one-photon exchange picture is given by:
Increasingly difficult to measure |GE| as q2 increases due to the 1/τ term .
The total cross section is often rewritten as an effective form factor:
σ tot =4πα 2βC
3q2 GM2 +
GE2
2τ⎡
⎣⎢⎢
⎤
⎦⎥⎥⇔ Geff = σ tot
4πα 2βC / 3q2⎛⎝⎜
⎞⎠⎟
12
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!43
PRL 114 (2015) 232301
|GE|=|GM|
e+e− ↔ pp
Phys. Rev. Lett. 114,232301 (2015)
BaBar 2013 Data
Structures seen in BaBar data
• Interference effect from rescattering processes in the final states.
Phys. Rev. Lett. 114,232301 (2015)
• Independent resonant structures Phys. Rev. D 92, 034018 (2015)
World data on the time-like (effective) proton form factor
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World data on the time-like proton form factor ratio R=|GE|/|GM|
@ BaBar (SLAC): data collection over wide energy range
@ PS 170 (LEAR): data collection at low energies
Data from BaBar & LEAR show different trends
@ BESIII: Measurement at different energies Uncertainties comparable to previous
experiments
@ CMD-3 (VEPP2000 collider, BINP): Energy scan Uncertainty comparable to the existing
data
BaBar: Phys. Rev. D88 072009 LEAR: Nucl.Phys.J., B411:3-32. 1994 BESIII: arXiv:1504.02680. 2015 CMD-3: arXiv:1507.08013v2 (2015)
e+e− → pp
e+e− → ppγ
pp→ e+e−
s =1− 2 GeV
!44
]2 [(GeV/c)2q4 6 810 12
R
0
0.5
1
1.5
2
2.5
3
BaBar
LEAR
FENICE+DM2
E835BESIII
CMD-3
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]2 [(GeV/c)2q4 6 810 12
R
0
0.5
1
1.5
2
2.5
3
BaBar
LEAR
FENICE+DM2
E835BESIII
CMD-3
World data on the time-like proton form factor ratio R=|GE|/|GM|
@ BaBar (SLAC): data collection over wide energy range
@ PS 170 (LEAR): data collection at low energies
Data from BaBar & LEAR show different trends
@ BESIII: Measurement at different energies Uncertainties comparable to previous
experiments
@ CMD-3 (VEPP2000 collider, BINP): Energy scan Uncertaincy comparable to the
measurement by BaBar
BaBar: Phys. Rev. D88 072009 LEAR: Nucl.Phys.J., B411:3-32. 1994 BESIII: arXiv:1504.02680. 2015 CMD-3: arXiv:1507.08013v2 (2015)
e+e− → pp
e+e− → ppγ
pp→ e+e−
s =1− 2 GeVPANDA: Measurement over wide
range of q2 with high precision
!45
More data needed with high precision! • Test of the theory, also at high q2
• Data with high statistics increase the precision of Form Factors
• Existing data were obtained with electron channels
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]2)c [(GeV/2q4 6 8 10 12 14
R
0
0.5
1
1.5
2
2.5
3BaBarLEARFENICE+DM2E835BESIIICMD-3PANDA Electrons IPANDA Electrons II
q2 [(GeV/c)2] 5.4 – 14
∆R/R 3.3 % - 57%
Feasibility studies: time-like proton form factors @ PANDA The results
Precision on R=1, L= 2 fb-1
!46
pp→ e+e−
cosθ ≤ 0.8
Efficiency corrected events
]2[(GeV/c)2q5 10 15 20 25 30
|M
|G
-310
-210
-110
BabarE835FenicePS170E760
DM1DM2BES
CLEO
PANDASim
|GM| can be measured up to q2 ≈ 30 (GeV/c)2
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]2 [(GeV/c)2q4 6 810 12
R
0
0.5
1
1.5
2
2.5
3BaBarLEARFENICE+DM2E835BESIIICMD-3PANDA sim muon Phase-3
Feasibility studies: time-like proton form factors @ PANDA The results
pp→ µ+µ−
!47
q2 [(GeV/c)2] 5.1 – 8.2
∆R/R 5.0 % - 37%
Precision on R=1, L= 2 fb-1
Δσ/σ: 4.1% - 4.9% Δ|Geff|/|Geff|: 2.03% - 2.44%
Systematic uncertainties - Luminosity measurement: ΔL/L~4% - Choice of cuts - Choice of histogram bin width
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Feasibility studies: time-like proton form factors @ PANDA Phases 1,2,3
!48
]2 [(GeV/c)2q4 6 8 10 12 14
R
0
0.5
1
1.5
2
2.5BaBarLEAR
E835
FENICE+DM2
BESIII
CMD-3
R=|GE|/|GM|
PANDA P1,2
PANDA P3
BESIII
Phase-1,2 (L=1031 cm-2 s-1)
pbarp à e+e- @1.5 GeV/c ~ 220 /day pbarp à e+e- @3.3 GeV/c ~ 10/day ∆R/R: 4-26%, Δ|Geff|/|Geff|: 2.5% (stat.+syst.)
pbarp à µ+µ- @1.5 GeV/c ~ 170/day
∆R/R: 21%, Δ|Geff|/|Geff|: 2.5% (stat.+syst.)
pbarp à e+e-π0 @1.5 GeV/c ~ 3,5k/day
• NO competition for first muon pair study • Also first access to unphysical region
pp→ e+e−
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!49
Hard exclusive processes at PANDA - Generalised Distribution Amplitudes (GDAs) - Transverse Momentum dependent Distributions (TDAs) - Generalised Parton Distributions (GPDs) - Drell-Yan processes - More details on time-like form factors
see uploaded talk on EMP by Frank Maas
Time-Like EMFF:s @ PANDA Day 1 - First measurement with muons in the final state - Consistency checks with e+e- - TL EMFF:s (|GE|/GM| )over a large range of q2
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#50
• Time-Like FF’s are complex due to inelasticity:
Δφ = the relative phase between GE and GM.
Three observables determine the Time-Like Form Factors.
Re GE (q2 )GM* (q2 )⎡⎣ ⎤⎦ = GE (q2 ) GM (q2 ) cosΔφ
Im GE (q2 )GM* (q2 )⎡⎣ ⎤⎦ = GE (q2 ) GM (q2 ) sinΔφ
- A relative phase between GE and GM gives polarisation effects on the final state even if the initial state is unpolarised.
The polarisation arises from an 3S1-3D1 interference.
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e+e− → ΛΛ
A complete determination of the Λ Time-Like Form Factor!
Py = −sin2θ Im GEGM
*⎡⎣ ⎤⎦ / τ
GE2sin2θ( ) / τ + GM
21+ cos2θ( )
= − sin2θ sinΔφ / τRsin2θ + 1+ cos2θ( ) / R
; R =GEGM
Czx = −sin2θ Re GEGM
*⎡⎣ ⎤⎦ / τ
GE2sin2θ( ) / τ + GM
21+ cos2θ( )
= − sin2θ cosΔφ / τRsin2θ + 1+ cos2θ( ) / R
=> gives modulus of the phase φ
=> gives the sign of the phase φ Nuov. Cim. A109(96)241
#51
e+
θΛ
Λ
e-
k1 y
zx
xzy
θp
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#52
AmultivariateparameterisationhavebeenderivedbyG.Fäldt&A.Kupsc*tomakemaximumuseofexclusivedata:
F0 (ξ ) = 1F1(ξ ) = sin2θ sinθ1 sinθ2 cosφ1 cosφ2 + cos2θ cosθ1 cosθ2
F2 (ξ ) = sinθ cosθ sinθ1 cosθ2 cosφ1 + cosθ1 sinθ2 cosφ2( )F3(ξ ) = sinθ cosθ sinθ1 sinφ1
F4 (ξ ) = sinθ cosθ sinθ2 sinφ2
F5 (ξ ) = cos2θF6 (ξ ) = cosθ1 cosθ2 − sin2θ sinθ1 sinθ2 sinφ1 sinφ2
*PLB772(2017)16
W ξ( ) = F0 ξ( )+ηF5 ξ( ) + 1−η2 sin(ΔΦ) αΛF3 ξ( )+αΛF4 ξ( )( ) +αΛαΛ F1 ξ( )+ 1−η2 cos(ΔΦ)F2 ξ( )+ηF6 ξ( )( ); ξ = (θ ,θ1,φ1,θ2 ,φ2 ), η = τ − R2
τ + R2
•AllowsforanunbinnedMLfit.😊
#52
e+e− → ΛΛ
• Noneedforacceptancecorrections.😊😊 (exceptforanoverallnormalisationfactor)
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#53
The formalism of Fäldt & Kupsc has been applied to BESIII data on
e+e− → γ * → J /ψ →ΛΛ
Λθcos-1 -0.5 0 0.5 1
Num
ber o
f Eve
nts
0
0.05
0.1
0.15
0.2610×
(a)
PRD 95 (2017) 052003
dΓd cosθ
∝1+ηψ cos2θ
ηψ = 0.469 ± 0.026
BF = (19.43± 0.03) ⋅10−4
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#54
e+e− → Λ→ pπ −( ) Λ→ pπ +( ) e+e− → Λ→ pπ −( ) Λ→ nπ 0( )
420593events,399bkg 47009events,66bkg
SimultaneousglobalunbinnedmaximumloglikelihoodfittothetwodatasetsfromthePDF:
whereCisthenormalisationobtainedfromW weightedsumphasespaceMCeventsafterdetectorreconstruction.
C ηψ ,ΔΦ,αΛ ,α p ,n( )W ξi ,ηψ ,ΔΦ,αΛ ,α p ,n( )
W ξ( ) = F0 ξ( )+ηF5 ξ( ) + 1−η2 sin(ΔΦ) αΛF3 ξ( )+αΛ p ,n
F4 ξ( )( ) +αΛαΛ p ,n
F1 ξ( )+ 1−η2 cos(ΔΦ)F2 ξ( )+ηF6 ξ( )( ); ξ = (θ ,θ1,φ1,θ2 ,φ2 ), η = τ − R2
τ + R2
dσ /dΩPolarisation
Spin correlation
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#55
ΔΦ=42.3o±0.6o±0.5oFit results
𝑒𝑒+𝑒𝑒− → (Λ → 𝑝𝑝π−)(Λ → 𝑝π+) 𝑒𝑒+𝑒𝑒− → (Λ → 𝑝𝑝π−)(Λ → 𝑛𝑛π0)
CP asymmetry:𝐴𝐴𝐶𝐶𝐶𝐶 =
𝛼𝛼− + 𝛼𝛼+𝛼𝛼− − 𝛼𝛼+
ηψ
α− =αΛ→pπ −
α+ =αΛ→pπ +
α0 =αΛ→nπ 0
arXiv:1808.08917
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#56#56
ΔΦ=42.3o±0.6o±0.5oFit results
𝑒𝑒+𝑒𝑒− → (Λ → 𝑝𝑝π−)(Λ → 𝑝π+) 𝑒𝑒+𝑒𝑒− → (Λ → 𝑝𝑝π−)(Λ → 𝑛𝑛π0)
CP asymmetry:𝐴𝐴𝐶𝐶𝐶𝐶 =
𝛼𝛼− + 𝛼𝛼+𝛼𝛼− − 𝛼𝛼+
ηψ
First:Phasemeasurementbetweendecayasymmetryparameter
GMψ and GE
ψ
α0
#56
αΛ→pπ − decayparameterismeasuredtobe
(17±3)%largerthanthePDGvalue(>5σ)
ImprovedupperlimitonACP
deviates3σfromisospinsymmetrypredictionα0 /α+
PRELIMINARY
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αΛ→pπ − decayparameterismeasuredtobe
(17±3)%largerthanthePDGvalue(>5σ)
All published data on Λ and Σ0 polarisation must be renormalised!
Decay asymmetry parameters of heavier hyperons must also be renormalised since most of them are determined via the product αΛαY! PDG!!
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- Levelorderingofthebaryonspectranotunderstood.- Morestatespredictedthanobserved“missingresonances”(ortheotherwayaround).- Effectivedegreesoffreedom?- Dynamicallygeneratedbaryonresonances?- TestingLatticeQCD
Understandingbaryonspectra⇔UnderstandingstrongQCDSpectroscopy
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PDG2018
OctetΞ*partnersofN*?
DecupletΞ*andΩ*partnersof∆*?
Ξ*,Ω*:terraincognita
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PDG2018:
PDG2018
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Antiproton-proton reactions are excellent entrance channels for hyperon spectroscopy studies:
pp→Y *Y ,Y *Y *
-StronginteractionprocessesHighcrosssections.
-Baryonnumber=0Noproductionofextrakaonsneeded.Lowenergythreshold.
-SamepatterninYandchannelsConsistency.Y
Y*Y* accessible for masses up to 2740 MeV/c2, i.e . .Ξc*Ξc*
- NoproductionofadditionalkaonsrequiredThresholdreduced
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Feasibility study of pp→Ξ+Ξ*− (1820)
- SimplifiedPANDA MC framework - pbeam = 4.6 GeV/c - σ = 1 µb assumed + Day 1 luminosity
- Results: • ≈ 15000 reconstructed exclusive events/day • Low background
J. Pütz, FAIRNESS 2016
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ProspectsDay1luminosity
Momentum[GeV/c]
Reaction σ[μb] Efficiency[%] Rate£=1031cm-2s-1
1.64 64 10 ≈30s-1
4 ≈40 30 ≈30s-1
4 ≈2 20 ≈1.5s-1
12 (2x10-3) 30 (≈4h-1)12 (0.1x10-3) 35 (≈2day-1)pp→Λc
−Λc+
pp→Ω+Ω−
pp→Ξ+Ξ−
pp→ΛΣ0pp→ΛΛ
Crosssectionsforexcitedhyperonsareexpectedtobeofthesameorderofmagnitude.
😊😊😊
😐?
Firstsimulationsshowthatthesechannelscanbereconstructedfreeofbackground.
Gainof100withaninclusivemeasurement
😐
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Conven!onalstates
nng ... ssg ccg
ggg ... gg
light qq / ssf2 K K* ...
ccJ/ c cJ
qqqq ccqqssqq
nng
light qq / ssf2 K K* ...
qqqq ssq
c cDDDsD s
c c
c c
c c
Hybrids
Molecules4-quarks
1 2 3 4 5 6
0 2 4 6 8 10 12 15
s = m [GeV / c2]
pmomentum [GeV / c ]HESRRange
LEAR
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aregood!!ProspectsofHyperonPhysics
(andEMPhysics)withfromDay1
areverygood!