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Magnetic Polarizability of Hadrons from Dynamical Configurations

Magnetic Polarizability of Hadrons from Dynamical Configurations. Scott Moerschbacher The George Washington University Lattice 2008, July 14. Outline of Talk. Magnetic Polarizability Physics Lattice Calculation Results of Simulations Future Possibilities. Classical Polarizability.

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Magnetic Polarizability of Hadrons from Dynamical Configurations

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  1. Magnetic Polarizability of Hadrons from Dynamical Configurations Scott Moerschbacher The George Washington University Lattice 2008, July 14

  2. Outline of Talk • Magnetic Polarizability Physics • Lattice Calculation • Results of Simulations • Future Possibilities

  3. Classical Polarizability • The polarizability is the proportionality constant between the induced dipole moment and the field.

  4. Lattice Approach • CP-PACS Dynamical Configurations: Simulation Parameters

  5. Lattice Approach • Nucleon interpolating fields • Correlation Functions

  6. Background Field Method • Introduce the magnetic field as a phase onto the lattice links Covariant Derivative:

  7. Linear vs. exponential • Do we linear-ize??

  8. Extraction of Polarizability • Expand the mass shift as a polynomial in the field:

  9. Lat 16—EMass Shifts—Linear

  10. Lat 16—EMass Shifts—Linear

  11. Lat 16—EMass Shifts—Exp

  12. Lat 16—EMass Shifts—Exp

  13. Lat 12—Polarizabilty—Exp

  14. Lat 12—Polarizabilty—Linear

  15. Lat 16—Polarizabilty—Linear

  16. Lat 16—Polarizabilty—Exp

  17. Conclusions… • What have we learned?? • a=0.2 is too coarse • Perhaps the field should be introduced as an exponential phase…

  18. What next?? • Better statistics • Introduce the field at the point of configuration generation • And of coarse.. Smaller spacings and quark masses..

  19. Extra Slides… • Extra Slides… • Extra Slides… • Extra Slides…

  20. Lat 16—Polarizabilty—Exp

  21. Proton Polarizability--Linear

  22. Mass Shifts--Exponential

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