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Nuclear Symmetry Energy and Coulomb Effects Study

Explore the correlation between symmetry energy and Coulomb energy in nuclear physics with various empirical fits, including a third-order polynomial approach. Understand how these components influence mirror nuclei behavior and experimental BCS analysis.

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Nuclear Symmetry Energy and Coulomb Effects Study

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  1. Ian Bentley University of Notre Dame

  2. Wigner Energy • E. Wigner’s work in the 1930’s indicated that the symmetry energy will proportional to T(T+X), where X=4, based on the supermultiplet formalism. • More recently, work by Jänecke et al. has determined that X is typically 1 but in the region A>80 near N=Z, X is 4. • We’ve done a different fit with a third order polynomial term, and found a few regions with different X values.

  3. Semi-Empirical Mass Formula Strong Energy Coulomb Energy Mirror Nuclei, have roughly the same Strong Components. Therefore, around N=Z one can fit the Coulomb Energy. LBNL Isotopes Project Nuclear Data Dissemination Home Page. Retrieved March 11, 2002, from http://ie.lbl.gov/toi.html

  4. Experimental Analysis

  5. Reconciling the BCS A) Using the two BCS self consistency equations one can solve for expectation value of the pure pairing Hamiltonian. B) Compare the energy levels with those from diagonalizing an exact pairing Hamiltonian in matrix form. • Example: • 3protons • 3 neutrons • in 3 levels

  6. Also (particle, photon) cross sections

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