1 / 28

Radiative meson transitions in the quark model

Radiative meson transitions in the quark model. Olga Lakhina University of Pittsburgh. Research Advisor Eric Swanson. Typically used approximations. Impulse approximation. Typically used approximations. Impulse approximation. quark. quark. +. antiquark. antiquark.

ciara
Download Presentation

Radiative meson transitions in the quark model

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Radiative meson transitions in the quark model Olga Lakhina University of Pittsburgh Research Advisor Eric Swanson

  2. Typically used approximations • Impulse approximation

  3. Typically used approximations • Impulse approximation quark quark + antiquark antiquark

  4. Typically used approximations • Impulse approximation • Using SHO meson wave functions

  5. Typically used approximations • Impulse approximation • Using SHO meson wave functions Gaussian r r Coulomb+linear

  6. Typically used approximations • Impulse approximation • Using SHO meson wave functions • Dipole (long wave-length) approximation

  7. Typically used approximations • Impulse approximation • Using SHO meson wave functions • Dipole (long wave-length) approximation The momentum of the photon: (no recoil) In reality

  8. Typically used approximations • Impulse approximation • Using SHO meson wave functions • Dipole (long wave-length) approximation • Non-relativistic approximation

  9. Typically used approximations • Impulse approximation • Using SHO meson wave functions • Dipole (long wave-length) approximation • Non-relativistic approximation Not true (especially for the light quarks)

  10. Typically used approximations • Impulse approximation • Using SHO meson wave functions • Dipole (long wave-length) approximation • Non-relativistic approximation • Applied to only light or heavy quark sector

  11. Motivation • Perform the detailed study of meson radiative transitions • Use realistic wave functions • Relativistic corrections / effects • Higher order diagrams (beyond the impulse approximation) • Bound state formalism

  12. Our method • Hamiltonian : • Electromagnetic interaction:

  13. Non-relativistic approximation • Hamiltonian: • Electromagnetic interaction:

  14. Results for cc mesons

  15. Results for light mesons

  16. Higher order diagrams Nonrelativistic approximation of Hamiltonian: + other terms model:

  17. Higher order diagrams

  18. VMD model diagram We have to sum over the intermediate states

  19. Second order diagram This diagram does not contribute if we don’t sum over the intermediate states

  20. Second order diagram + = 0 These diagrams cancel for cc mesons

  21. Second order diagram

  22. Effects of higher order diagrams (GeV-1/2)

  23. Cornell model + - order neglected

  24. END

  25. Potential energy of quark interaction in a meson V(r) Linear dependence Coulomb dependence r

  26. where Decay rate:

  27. Vector meson dominance model • Quark model

More Related