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Meson Electro-/Photo-Production from QCD

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Abstract

I present the calculation of the \(\pi ^+\gamma ^\star \rightarrow \pi ^+\pi ^0\) transition amplitude from quantum chromodynamics performed by the Hadron Spectrum Collaboration. The amplitude is determined for a range of values of the photon virtuality and the final state energy. One observes a clear dynamical enhancement due to the presence of the \(\rho \) resonance. By fitting the transition amplitude and analytically continuing it onto the \(\rho \)-pole, the \(\rho \rightarrow \pi \gamma ^\star \) form factor is obtained. This exploratory calculation, performed using lattice quantum chromodynamics, constitutes the very first determination of an electroweak decay of a hadronic resonance directly from the fundamental theory of quarks and gluons. In this talk, I highlight some of the necessary steps that made this calculation possible, placing emphasis on recently developed formalism. Finally, I discuss the status and outlook of the field for the study of \(N\gamma ^\star \rightarrow N^\star \rightarrow N\pi \) transitions.

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References

  1. Briceño, R.A. et al.: Issues and Opportunities in Exotic Hadrons. arxiv:1511.06779 (2015)

  2. Swanson, E.S.: XYZ states: theory overview. In: Proceedings, 16th International Conference on Hadron Spectroscopy (Hadron 2015). arxiv:1512.04853 (2015)

  3. Prelovsek, S., Leskovec, L.: Evidence for X(3872) from DD* scattering on the lattice. Phys. Rev. Lett. 111, 192001 (2013). arxiv:1307.5172

    Article  ADS  Google Scholar 

  4. Horgan, R.R., Liu, Z., Meinel, S., Wingate, M.: Calculation of \(B^0 \rightarrow K^{*0} \mu ^+ \mu ^-\) and \(B_s^0 \rightarrow \phi \mu ^+ \mu ^-\) observables using form factors from lattice QCD. Phys. Rev. Lett. 112, 212003 (2014). arxiv:1310.3887

    Article  ADS  Google Scholar 

  5. Luscher, M.: Volume dependence of the energy spectrum in massive quantum field theories. 2. Scattering states. Commun. Math. Phys. 105, 153 (1986)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Luscher, M.: Two particle states on a torus and their relation to the scattering matrix. Nucl. Phys. B 354, 531 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  7. Rummukainen, K., Gottlieb, S.A.: Resonance scattering phase shifts on a nonrest frame lattice. Nucl. Phys. B 450, 397 (1995). arxiv:hep-lat/9503028

    Article  ADS  Google Scholar 

  8. Kim, C., Sachrajda, C., Sharpe, S.R.: Finite-volume effects for two-hadron states in moving frames. Nucl. Phys. B 727, 218 (2005). arxiv:hep-lat/0507006

    Article  ADS  Google Scholar 

  9. Christ, N.H., Kim, C., Yamazaki, T.: Finite volume corrections to the two-particle decay of states with non-zero momentum. Phys. Rev. D 72, 114506 (2005). arxiv:hep-lat/0507009

    Article  ADS  Google Scholar 

  10. Briceño, R.A., Davoudi, Z.: Moving multichannel systems in a finite volume with application to proton-proton fusion. Phys. Rev. D 88, 094507 (2013). arxiv:1204.1110

    Article  ADS  Google Scholar 

  11. Hansen, M.T., Sharpe, S.R.: Multiple-channel generalization of Lellouch-Luscher formula. Phys. Rev. D 86, 016007 (2012). arxiv:1204.0826

    Article  ADS  Google Scholar 

  12. Briceño, R.A.: Two-particle multichannel systems in a finite volume with arbitrary spin. Phys. Rev. D 89, 074507 (2014). arxiv:1401.3312

    Article  ADS  Google Scholar 

  13. Lellouch, L., Luscher, M.: Weak transition matrix elements from finite volume correlation functions. Commun. Math. Phys. 219, 31 (2001). arxiv:hep-lat/0003023

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. Lin, C.D., Martinelli, G., Sachrajda, C.T., Testa, M.: \(K\rightarrow \pi \pi \) decays in a finite volume. Nucl. Phys. B 619, 467 (2001). arxiv:hep-lat/0104006

    Article  ADS  Google Scholar 

  15. Meyer, H.B.: Photodisintegration of a bound state on the torus. arxiv:1202.6675 (2012)

  16. Briceño, R.A., Hansen, M.T.: Multichannel 0 \(\rightarrow \) 2 and 1 \(\rightarrow \) 2 transition amplitudes for arbitrary spin particles in a finite volume. Phys. Rev. D 92, 074509 (2015). arxiv:1502.04314

  17. Briceño, R.A., Hansen, M.T., Walker-Loud, A.: Multichannel 1 \(\rightarrow \) 2 transition amplitudes in a finite volume. Phys. Rev. D 91, 034501 (2015). arxiv:1406.5965

  18. Briceño, R.A., Hansen, M.T.: Relativistic, model-independent, multichannel \(2\rightarrow 2\) transition amplitudes in a finite volume. arxiv:1509.08507 (2015)

  19. Meyer, H.B.: Lattice QCD and the timelike pion form factor. Phys. Rev. Lett. 107, 072002 (2011). arxiv:1105.1892

    Article  ADS  Google Scholar 

  20. Feng, X., Aoki, S., Hashimoto, S., Kaneko, T.: Timelike pion form factor in lattice QCD. arxiv:1412.6319 (2014)

  21. Bulava, J., Horz, B., Fahy, B., Juge, K.J., Morningstar, C., Wong, C.H.: Pion-pion scattering and the timelike pion form factor from \(N_{\rm f} = 2+1\) lattice QCD simulations using the stochastic LapH method. In: Proceedings, 33rd International Symposium on Lattice Field Theory (Lattice 2015). arxiv:1511.02351 (2015)

  22. Briceño, R.A., Dudek, J.J., Edwards, E.G., Shultz, C.J., Thomas, C.E., Wilson, D.J.: The \(\pi \pi \rightarrow \pi \gamma ^\star \) amplitude and the resonant \(\rho \rightarrow \pi \gamma ^\star \) transition from lattice QCD. arXiv:1604.03530 (2016)

  23. Briceño, R.A., Dudek, J.J., Edwards, R.G., Shultz, C.J., Thomas, C.E., Wilson, D.J.: The resonant \(\pi ^+\gamma \rightarrow \pi ^+\pi ^0\) amplitude from quantum chromodynamics. Phys. Rev. Lett. 115, 242001 (2015). arxiv:1507.06622

  24. Hansen, M.T.: Extracting three-body observables from finite-volume quantities. In: Proceedings, 33rd International Symposium on Lattice Field Theory (Lattice 2015). arxiv:1511.04737 (2015)

  25. Briceño, R.A.: Few-body physics. PoS LATTICE2014, 008 (2015). arxiv:1411.6944

    Google Scholar 

  26. Briceño, R.A., Davoudi, Z., Luu, T.C.: Nuclear reactions from lattice QCD. J. Phys. G 42, 023101 (2015d). arxiv:1406.5673

    Article  ADS  Google Scholar 

  27. Prelovsek, S.: Hadron Spectroscopy. PoS LATTICE2014, 015 (2014). arxiv:1411.0405

    Google Scholar 

  28. Mohler, D.: Review of lattice studies of resonances. PoS LATTICE2012, 003 (2012). arxiv:1211.6163

    Google Scholar 

  29. Dudek, J.J., Edwards, R.G., Thomas, C.E.: Energy dependence of the \({\rho }\) resonance in \({\pi }{\pi }\) elastic scattering from lattice QCD. Phys. Rev. D 87, 034505 (2013). arxiv:1212.0830

    Article  ADS  Google Scholar 

  30. Lang, C., Mohler, D., Prelovsek, S., Vidmar, M.: Coupled channel analysis of the rho meson decay in lattice QCD. Phys. Rev. D 84, 054503 (2011). arxiv:1105.5636

    Article  ADS  Google Scholar 

  31. Lang, C.B., Leskovec, L., Mohler, D., Prelovsek, S., Woloshyn, R.M.: Ds mesons with DK and D*K scattering near threshold. Phys. Rev. D 90, 034510 (2014). arxiv:1403.8103

    Article  ADS  Google Scholar 

  32. Feng, X., Jansen, K., Renner, D.B.: Resonance parameters of the rho-Meson from lattice QCD. Phys. Rev. D 83, 094505 (2011). arxiv:1011.5288

    Article  ADS  Google Scholar 

  33. Wilson, D.J., Briceño, R.A., Dudek, J.J., Edwards, R.G., Thomas, C.E.: Coupled \(\pi \pi , K\bar{K}\) scattering in \(P\)-wave and the \(\rho \) resonance from lattice QCD. Phys. Rev. D 92, 094502 (2015). arxiv:1507.02599

  34. Wilson, D.J., Dudek, J.J., Edwards, R.G., Thomas, C.E.: Resonances in coupled \(\pi K, \eta K\) scattering from lattice QCD. Phys. Rev. D 91, 054008 (2015). arxiv:1411.2004

  35. Dudek, J.J., Edwards, R.G., Thomas, C.E., Wilson, D.J.: Resonances in coupled \(\pi K -\eta K\) scattering from quantum chromodynamics. Hadron Spectr. Phys. Rev. Lett. 113, 182001 (2014). arxiv:1406.4158

    Article  ADS  Google Scholar 

  36. Bolton, D.R., Briceño, R.A., Wilson, D.J.: Connecting physical resonant amplitudes and lattice QCD. arxiv:1507.07928 (2015)

  37. Protopopescu, S., Alston-Garnjost, M., Barbaro-Galtieri, A., Flatte, S.M., Friedman, J., et al.: Pi pi partial wave analysis from reactions pi+ p —> pi+ pi- Delta++ and pi+ p —> K+ K- Delta++ at 7.1-GeV/c. Phys. Rev. D 7, 1279 (1973)

    Article  ADS  Google Scholar 

  38. Estabrooks, P., Martin, A.D.: pi pi phase shift analysis below the K anti-K threshold. Nucl. Phys. B 79, 301 (1974)

    Article  ADS  Google Scholar 

  39. Shultz, C.J., Dudek, J.J., Edwards, R.G.: Excited meson radiative transitions from lattice QCD using variationally optimized operators. Phys. Rev. D 91, 114501 (2015). arxiv:1501.07457

    Article  ADS  Google Scholar 

  40. Richards, D.: \(N^*\) resonances in lattice QCD from (mostly) low to (sometimes) high virtualities. In: ECT* Workshop on Nucleon Resonances: from Photoproduction to High Photon Virtualities, Trento, Italy, 12–16 October 2015 (2016). https://inspirehep.net/record/1444997/files/arXiv:1604.02988.pdf

  41. Huston, J., Berg, D., Chandlee, C., Cihangir, S., Collick, B., et al.: Measurement of the resonance parameters and radiative width of the \(\rho ^+\). Phys. Rev. D 33, 3199 (1986)

    Article  ADS  Google Scholar 

  42. Capraro, L., Levy, P., Querrou, M., Van Hecke, B., Verbeken, M., et al.: The \(\rho \) radiative decay width: a measurement at 200-GeV. Nucl. Phys. B 288, 659 (1987)

    Article  ADS  Google Scholar 

  43. Hansen, M.T., Sharpe, S.R.: Relativistic, model-independent, three-particle quantization condition. Phys. Rev. D 90, 116003 (2014). arxiv:1408.5933

    Article  ADS  Google Scholar 

  44. Hansen, M.T., Sharpe, S.R.: Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude. Phys. Rev. D 92, 114509 (2015). arxiv:1504.04248

    Article  ADS  Google Scholar 

  45. Polejaeva, K., Rusetsky, A.: Three particles in a finite volume. Eur. Phys. J. A 48, 67 (2012). arxiv:1203.1241

    Article  ADS  Google Scholar 

  46. Briceño, R.A., Davoudi, Z.: Three-particle scattering amplitudes from a finite volume formalism. Phys. Rev. D 87, 094507 (2012). arxiv:1212.3398

    Article  ADS  Google Scholar 

  47. Lang, C.B., Verduci, V.: Scattering in the \(\pi \)N negative parity channel in lattice QCD. Phys. Rev. D 87, 054502 (2013). arxiv:1212.5055

    Article  ADS  Google Scholar 

  48. Detmold, W., Nicholson, A.: Low energy scattering phase shifts for meson-baryon systems. arxiv:1511.02275 (2015)

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Authors and Affiliations

  1. Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, VA, 23606, USA

    Raúl A. Briceño

  2. Department of Physics, Old Dominion University, Norfolk, VA, 23529, USA

    Raúl A. Briceño

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  1. Raúl A. Briceño
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Correspondence to Raúl A. Briceño.

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This article belongs to the special issue “Nucleon Resonances”.

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Briceño, R.A. Meson Electro-/Photo-Production from QCD. Few-Body Syst 57, 893–900 (2016). https://doi.org/10.1007/s00601-016-1124-y

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