1 / 20

Why Regge Trajectories ?

Why Regge Trajectories ?. Alfred Tang University of Wisconsin-Milwaukee. Content. Regge Trajectories Bound State Equations QCD string model Feynman-Field Perturbative QCD Model Iso-hadron Model. Defining Regge Trajectories. Chew-Frautschi Plots. Bootstrap hypothesis

lane
Download Presentation

Why Regge Trajectories ?

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. Why Regge Trajectories? Alfred Tang University of Wisconsin-Milwaukee

  2. Content • Regge Trajectories • Bound State Equations • QCD string model • Feynman-Field Perturbative QCD Model • Iso-hadron Model

  3. Defining Regge Trajectories

  4. Chew-Frautschi Plots • Bootstrap hypothesis • Chew-Frautschi conjecture • Linearity assumed to fit data • Linearity justified by Regge pole theory

  5. Zone Test

  6. Non-linear Regge Trajectories

  7. Schrödinger Equation in p-space • Simplest example with a linear potential: s-state SE • Norbury, et al. used basis function method

  8. Nystrom-plus-correction Method • Represent (p) as a vector. • The kernel contains the Q’(y) and kinetic terms. • Solve SE as a matrix equation. • Extrapolate the eigenvalues.

  9. Regge Trajectorieswith a linear potential

  10. Regge Trajectorieswith a Cornell potential

  11. QCD String

  12. Lund String Fragmentation Model

  13. Isgur Flux-tube Model

  14. Toroidal Hadron

  15. Feynman-Field Model

  16. Global Properties

  17. Pieces of Puzzle • Regge trajectories are slightly non-linear. • Bound state equations using Nystrom-plus-correction method produces RT of increasing slopes. • Variable Np is needed for different reactions in the Feynman-Field model.

  18. n-Möbius Strip 3 2 1 1 3 2

  19. Triniton (3-Möbius Strip)

  20. Iso-hadron Model • Iso-hadrons have the same quantum numbers and symmetries but different masses. • Partons in lighter iso-hadrons carry greater fraction of the hadron’s energy and are kinematically favorable to fragment into heavier hadrons. • The concentrations of iso-hadrons vary with J. • Non-linear Regge trajectories are caused by the J dependence of iso-hadron concentrations.

More Related