An isospin-dependent global elastic nucleon-nucleus potential

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Presentation transcript:

An isospin-dependent global elastic nucleon-nucleus potential … in an exotic beam context Theoretical overview of the potential Comparison to other potentials Asymmetry term analysis – charge exchange DREB 2009 - FSU Stephen Weppner Eckerd College Testing notes

Motivations A desire to build a potential for the present Building a completely phenemological potential A desire to build a potential for the present and future exotic beam accelerators -- include non-spherical -- concentrate on lighter nuclei -- consistent across chains of isotopes One which will complement and augment my earlier microscopic work an re-examination of the traditional terms Stephen Weppner Eckerd College DREB 2009 - FSU

Makeup of the phenemological potential A Woods-Saxon Basis Each parameter in the Woods-Saxon basis is fit to a quadratic or cubic polynomial Complete separation of the “E” and “A” variables No additional theory: no added coulomb corrections or dispersion relationships A standard format: terms include: volume, surface, spin orbit, and coulomb Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

The complete volume term Real: Imaginary: Stephen Weppner Eckerd College DREB 2009 - FSU

Computational Aspects Fit over 500 different experiments The searching space was often over 20 dimensions The fit tried to find a minimum in the weighted 2 parameter space Run on a parallel Linux cluster, each run took ~80 computational hours Stephen Weppner Eckerd College DREB 2009 - FSU

J. Koning and J. P. Delaroche, Nucl. Phys. A 713, 231 (2003) D. G. Madland arXiv:nucl-th/9702035v1 (1997) S. P. Weppner et. al. Phys. Rev. C80, 034608 (2009) Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

My try at the polarized proton RIKEN experiment … Stephen Weppner Eckerd College DREB 2009 - FSU

Optical Potential Calculator A Java Applet which calculates the elastic observables and also produces the potential parameters Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

The complete volume term Real: Imaginary: Stephen Weppner Eckerd College DREB 2009 - FSU

Asymmetry and Charge Exchange (N-Z) Terms Fermi and Gamow-Teller Sum rules lead to (N-Z) factors on the isospin dependent terms Volume integrals of the NN asymmetry piece have a long history as input to calculate charge exchange cross sections Spin Dependent - Gamow-Teller Resonances Spin Independent - Fermi Resonances Osterfeld, Reviews of Modern Physics 64, 490 (1992) Stephen Weppner Eckerd College DREB 2009 - FSU

Target  [mb] 40Ca 514 42Ca 432 44Ca 282 46Ca 61 48Ca unphys Target Neutron scattering at 135 MeV - total reaction cross section Target  [mb] 40Ca 514 42Ca 432 44Ca 282 46Ca 61 48Ca unphys Target  [mb] 16O 269 18O 168 20O 44 22O unphys 24O Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU

Neutron scattering difference : 40Ar – 40Ca Energy Model Real Vol. Int. Diff Imag. Vol. Int. Diff. Elastic CS React CS Total CS MeV MeV fm3 mb KD 3.1 0.0 14 -28 -14 50 MD 32.7 -36 -9 -45 WP 10.8 8.0 +68 -51 +17 5.5 -19 -4 -23 150 39.7 -106 -5 -111 -0.8 21.5 +188 -287 -99 Stephen Weppner Eckerd College DREB 2009 - FSU

Conclusions Development of a new global optical potential It has the apparatus for systematic analysis of the “traditional” terms Future steps: A better term for anti-symmetry Inclusion of charge-exchange constraints Stephen Weppner Eckerd College DREB 2009 - FSU

Stephen Weppner Eckerd College DREB 2009 - FSU