Siegfried Krewald (IKP und IAS, Uni Bonn): Theory - NuPECC

TheoryDirector: U.-G. MeißnerF. Grümmer, J. Haidenbauer, C. Hanhart, S. Krewald, A.Nogga, A. Wirzba,Forschungszentrum Jülich, Universität BonnReferences: → pages 15/16NuPECC , March 15, 2013 1/ 16

Strategies for strong QCDMethods and ResultsQCDHigh Performance ComputingAb initio nuclear lattice simulationsThe Hoyle StateFinite Volume AnalysisEffective Field TheoryD-meson widthEta-decayScattering lengthsBaryon Electric Dipole MomentPhenomenologyBaryon Resonance AnalysisEXPERIMENT: COSY, FAIRPrecision physics, EDMNuPECC , March 15, 2013 2/ 16

Method : Lattice SimulationsFinite volume L 3Finite lattice spacing am q(Lattice) ≠ m qNuPECC , March 15, 2013 3/ 16

Lattice results: Binding energies tritium, Helium, CarbonE(L) = E ∞ − a L exp(−bL)Epelbaum, Krebs, Lee, Meißner, Phys. Rev. Lett. 104 (2010) 142501Epelbaum, Krebs, Lähde, Lee, Meißner, Phys. Rev. Lett. 109 (2012) 252501NuPECC , March 15, 2013 4/ 16

Lattice results: Hoyle stateNuPECC , March 15, 2013 5/ 16

LATTICE meets EFT: EDMLattice links θ-term to EDM:Guo, Meißner,JHEP1212(2012)097E. Shintani et al., PRD78(2008)d n = (−2.9 ± 0.9)10 −16 θ 0ecmd p = (+1.1 ± 1.1)10 −16 θ 0ecmHow to disentangle the θ-term from other mechanisms?J.Bsaisou, C. Hanhart, S. Liebig, U.-G. Meißner, A. Nogga, A. Wirzba,EPJA49(2013)31d D (2N ) = d n + d p − (0.54 ± 0.39)10 −16 θ e cm. (Leading order)(dominantly isospin violating, CP-odd πNN coupling.)NuPECC , March 15, 2013 6/ 16

LATTICE meets EFT: scalar mesons in finite volumeLüscher(1986):two particles on torus→ phase shifts.V.Bernard et al., JHEP(2011),M. Döring et al., EPJA(2011):scalar mesons in finite volume.T = [1 − VG] −1 VG(E) = ∫ d 3 ωq 1 (q)+ω 2 (q)E 2 −(ω 1 (q)+ω 2 (q)) 2˜G(E) = 1L 3 ∑q= 2π L n ω 1 (q)+ω 2 (q)E 2 −(ω 1 (q)+ω 2 (q)) 2poles: V (E) −1 − ˜G(E) = 0T(E) = [˜G(E) − G(E)] −1NuPECC , March 15, 2013 7/ 16

Lattice meets EFT: moving frameM. Döring, U.-G. Meißner, E. Oset, A. Rusetsky, EPJA48(2012)114Pion-Kaon scatteringLevel 1 Level 23P = (2π/L) (0,0,1)L=1.9 M π-180P = (2π/L) (0,0,1)L=1.9 M π-1δ 1/20(πK --> πK) [deg]21L=6.6 M π-16040200630 640 6500L=6.6 M π-1700 750 800NuPECC , March 15, 2013 8/ 16

LATTICE meets EFT: width of D ∗ (2317)Weinberg(1965) Scattering length:a = −2 ( )1−Z 11+Z(2µɛ) 1 2Liuming Liu et al., PRD87(2013):Γ(D ∗ s 0(23117) → D sπ) = (133 ± 22)keV.PANDA Resolution 100 keV.300without withfit to lattice dataΓ πDs[keV]2001000NuPECC , March 15, 2013 9/ 16

Chiral PT for πN and πda + = ( 7.7 ± 3.1) × 10 −3 mπ−1a − = (86.1 ± 0.9) × 10 −3 mπ−1(V.Baru et al., NPA872(2011))Improved input for Goldberger-Miyazawa-Oehme sum rulegc2 ( ) 2M 2[( ) ∫4π = 1+ mπ mπ ( maπm π M p 4− p−a π p) 2+ −π8π 2gives g 2 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).dk σtot π − p −σtot π + p√k2 +m 2 πNuPECC , March 15, 2013 10/ 16]

Λ − Λ scattering lengthdσ/dm ΛΛdΩ [µb/(sr 7.5 MeV)]32.521.510.5Yoon et al.00 20 40 60 80 100 120m ΛΛ-2m Λ[MeV]a ΛΛ = (−1.2 ± 0.6) fm.A. Gasparyan, J. Haidenbauer, C. Hanhart, PRC85(2012)015204NuPECC , March 15, 2013 11/ 16

EFT: pion vector from factor10|F V(τ)(s)|210,10,010 1 2 3s [GeV 2 ]C. Hanhart, Phys. Lett. B 715, 170 (2012)NuPECC , March 15, 2013 12/ 16

Phenomenology: Baryon resonance analysisJülich coupled reaction channelsmodelJLAB, ELSA, MAMI, FAIR,GLUEXD. Rönchen et al., arXiv: 1211.6998 [nucl-th]M. Döring et al., Nucl. Phys. A 851, 58 (2011)NuPECC , March 15, 2013 13/ 16

Outlook: http://crc110.hiskp.uni-bonn.deNuPECC , March 15, 2013 14/ 16

ReferencesE. 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. Lähde, 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. Döring, U.-G. Meißner, E. Oset and A. Rusetsky, Eur. Phys. J. A 47, 139(2011) [arXiv:1107.3988 [hep-lat]].M. Döring, 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

ReferencesF. 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. Rönchen, M. Döring, 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. Grümmer andP. G. Reinhard, Phys. Rev. Lett. 109 (2012) 092502 [arXiv:1207.0664 [nucl-th]].CRC100: http://crc110.hiskp.uni-bonn.deNuPECC , March 15, 2013 16/ 16