Theory
Director: U.-G. Meißner
F. Grummer, J. Haidenbauer, C. Hanhart, S. Krewald, A.Nogga, A. Wirzba,Forschungszentrum Julich, Universitat Bonn
References: → pages 15/16
NuPECC , March 15, 2013 1/ 16
Strategies for strong QCD
Methods and Results
High Performance ComputingAb initio nuclear lattice simulations
The Hoyle StateFinite Volume AnalysisEffective Field Theory
D-meson widthEta-decay
Scattering lengthsBaryon Electric Dipole Moment
PhenomenologyBaryon Resonance Analysis
QCD
EXPERIMENT: COSY, FAIRPrecision physics, EDM
NuPECC , March 15, 2013 2/ 16
Method : Lattice Simulations
Finite volume L3
Finite lattice spacing a
mq(Lattice) 6= mq
NuPECC , March 15, 2013 3/ 16
Lattice results: Binding energies tritium, Helium, Carbon
E(L) = E∞ − aL exp(−bL)
Epelbaum, Krebs, Lee, Meißner, Phys. Rev. Lett. 104 (2010) 142501Epelbaum, Krebs, Lahde, Lee, Meißner, Phys. Rev. Lett. 109 (2012) 252501
NuPECC , March 15, 2013 4/ 16
Lattice results: Hoyle state
NuPECC , March 15, 2013 5/ 16
LATTICE meets EFT: EDM
Lattice links θ-term to EDM:Guo, Meißner,JHEP1212(2012)097E. Shintani et al., PRD78(2008)
dn = (−2.9± 0.9)10−16θ0ecm
dp = (+1.1± 1.1)10−16θ0ecm
How to disentangle the θ-term from other mechanisms?J.Bsaisou, C. Hanhart, S. Liebig, U.-G. Meißner, A. Nogga, A. Wirzba,EPJA49(2013)31dD(2N ) = dn + dp − (0.54± 0.39)10−16θ e cm. (Leading order)(dominantly isospin violating, CP-odd πNN coupling.)
NuPECC , March 15, 2013 6/ 16
LATTICE meets EFT: scalar mesons in finite volumeLuscher(1986):two particles on torus→ phase shifts.V.Bernard et al., JHEP(2011),M. Doring et al., EPJA(2011):scalar mesons in finite volume.T = [1−VG]−1VG(E) =
∫d3q ω1(q)+ω2(q)
E2−(ω1(q)+ω2(q))2
G(E) = 1L3
∑q= 2π
L nω1(q)+ω2(q)
E2−(ω1(q)+ω2(q))2
poles: V (E)−1 − G(E) = 0
T(E) = [G(E)−G(E)]−1
NuPECC , March 15, 2013 7/ 16
Lattice meets EFT: moving frame
M. Doring, U.-G. Meißner, E. Oset, A. Rusetsky, EPJA48(2012)114Pion-Kaon scattering
630 640 650
0
1
2
3
δ1
/2
0 (
πK
-->
πK
) [d
eg]
700 750 8000
20
40
60
80
L=6.6 Mπ
-1
L=1.9 Mπ
-1
P = (2π/L) (0,0,1)
L=6.6 Mπ
-1
L=1.9 Mπ
-1
P = (2π/L) (0,0,1)
Level 1 Level 2
NuPECC , March 15, 2013 8/ 16
LATTICE meets EFT: width of D∗(2317)
Weinberg(1965) Scattering length:a = −2
(1−Z1+Z
)1
(2µε)12
Liuming Liu et al., PRD87(2013):
Γ(D∗s0 (23117)→ Dsπ) = (133± 22)keV.PANDA Resolution 100 keV.
0
100
200
300
Γπ
Ds [
keV
]
with
fit to lattice data
without
NuPECC , March 15, 2013 9/ 16
Chiral PT for πN and πd
a+ = ( 7.7± 3.1)× 10−3m−1π
a− = (86.1± 0.9)× 10−3m−1π
(V.Baru et al., NPA872(2011))
Improved input for Goldberger-Miyazawa-Oehme sum rule
g2c
4π=(2M
mπ
)2[(
1+mπ
Mp
)mπ
4(aπ−p−aπ+p
)−m2
π
8π2
∫dkσtotπ−p−σ
totπ+p√
k2+m2π
]gives g2
c/4π = 13.68± 0.12± 0.15 = 13.7± 0.2vs. 13.54± 0.05, NN,de Swart et al. (1998),vs. 13.75± 0.15, πN , Arndt et al. (1994).
NuPECC , March 15, 2013 10/ 16
Λ − Λ scattering length
0 20 40 60 80 100 120m
ΛΛ-2m
Λ [MeV]
0
0.5
1
1.5
2
2.5
3
dσ
/dm
ΛΛdΩ
[µ
b/(
sr 7
.5 M
eV
)] Yoon et al.
aΛΛ = (−1.2± 0.6) fm.A. Gasparyan, J. Haidenbauer, C. Hanhart, PRC85(2012)015204
NuPECC , March 15, 2013 11/ 16
EFT: pion vector from factor
0 1 2 3
s [GeV2]
0,01
0,1
1
10|F
V
(τ) (s
)|2
C. Hanhart, Phys. Lett. B 715, 170 (2012)
NuPECC , March 15, 2013 12/ 16
Phenomenology: Baryon resonance analysis
Julich coupled reaction chan-nels modelJLAB, ELSA, MAMI, FAIR,GLUEXD. Ronchen et al., arXiv: 1211.6998 [nucl-th]M. Doring et al., Nucl. Phys. A 851, 58 (2011)
NuPECC , March 15, 2013 13/ 16
Outlook: http://crc110.hiskp.uni-bonn.de
NuPECC , March 15, 2013 14/ 16
References
E. Epelbaum, H. Krebs, D. Lee and U.-G. Meißner, Phys. Rev. Lett. 106, 192501(2011) [arXiv:1101.2547 [nucl-th]].E. Epelbaum, H. Krebs, T. A. Lahde, D. Lee and U.-G. Meißner, Phys. Rev. Lett.109, 252501 (2012) [arXiv:1208.1328 [nucl-th]].F.-K. Guo and U.-G. Meißner, JHEP 1212, 097 (2012) [arXiv:1210.5887[hep-ph]].J. Bsaisou, C. Hanhart, S. Liebig, U.-G. Meißner, A. Nogga and A. Wirzba, Eur.Phys. J. A, 49: 31 (2013) [arXiv:1209.6306 [hep-ph]].V. Bernard, M. Lage, U. -G. Meißner and A. Rusetsky, JHEP 1101 (2011) 019[arXiv:1010.6018 [hep-lat]].M. Doring, U.-G. Meißner, E. Oset and A. Rusetsky, Eur. Phys. J. A 47, 139(2011) [arXiv:1107.3988 [hep-lat]].M. Doring, U.-G. Meißner, E. Oset and A. Rusetsky, Eur. Phys. J. A 48, 114(2012) [arXiv:1205.4838 [hep-lat]].L. Liu, K. Orginos, F.-K. Guo, C. Hanhart and U.-G. Meißner, Phys. Rev. D 87,014508 (2013) [arXiv:1208.4535 [hep-lat]].V. Baru, C. Hanhart, M. Hoferichter, B. Kubis, A. Nogga and D. R. Phillips,Nucl. Phys. A 872, 69 (2011) [arXiv:1107.5509 [nucl-th]].A. M. Gasparyan, J. Haidenbauer and C. Hanhart, Phys. Rev. C 85 (2012)015204 [arXiv:1111.0513 [nucl-th]].F.-K. Guo, B. Kubis and A. Wirzba, Phys. Rev. D 85 (2012) 014014[arXiv:1111.5949 [hep-ph]].
NuPECC , March 15, 2013 15/ 16
References
F. Stollenwerk, C. Hanhart, A. Kupsc, U.-G. Meißner and A. Wirzba, Phys. Lett.B 707 (2012) 184 [arXiv:1108.2419 [nucl-th]].C. Hanhart, Phys. Lett. B 715, 170 (2012) [arXiv:1203.6839 [hep-ph]].D. Ronchen, M. Doring, F. Huang, H. Haberzettl, J. Haidenbauer, C. Hanhart,S. Krewald and U.-G. Meißner et al., arXiv:1211.6998 [nucl-th] (EPJA, in press).H.-W. Hammer, A. Nogga and A. Schwenk, Rev. Mod. Phys. 85 (2013) 197[arXiv:1210.4273 [nucl-th]].N. Lyutorovich, V. I. Tselyaev, J. Speth, S. Krewald, F. Grummer andP. G. Reinhard, Phys. Rev. Lett. 109 (2012) 092502 [arXiv:1207.0664 [nucl-th]].CRC100: http://crc110.hiskp.uni-bonn.de
NuPECC , March 15, 2013 16/ 16
