Using the IBA on Titan

Nuclear Model Codes at Yale Computer name: Titan Connecting to SSH: Quick connect Host name: titan.physics.yale.edu User name: phy664 Port Number 22 Password: nuclear_codes cd phintm pico filename.in (ctrl x, yes, return) runphintm filename (w/o extension) pico filename.out (ctrl x, return)

Sph. Deformed Lets first do the three symmetries. Okey, dokey?

Relation of IBA Hamiltonian to Group Structure

R 4/2 N = 10 Now some calculations for real nuclei

Lets do some together Pick a nucleus, any collective nucleus 152-Gd (N=10) 186-W (N=11) Data 0+ 0 keV 0 keV R 4/2 = 2.19  ~  ~ 0.7 R 0/2 =  ~  ~ -0.7 For N = 10 and  = MeV  = 4 x 0.02 x 10 [ (1 –  )/  ]  = 0.8 x [0.6 /0.4] ~ 1.2 MeV  = 0.8 x [0.3/0.7] ~ 0.33 MeV At the end, need to normalize energies to first J = 2 state. For now just look at energy ratios. These parameters are starting points.

Mapping the Entire Triangle with a minimum of data Mapping the Entire Triangle with a minimum of data 2 parameters 2-D surface  H = ε n d -  Q  Q Parameters: ,  (within Q) varies from 0 to infinity  /ε

Spanning the Triangle H = c [ ζ ( 1 – ζ ) nd 4NB Q χ ·Q χ - ] ζ χ U(5) ζ = 0 O(6) ζ = 1, χ = 0 SU(3) 2γ+2γ ζ = 1, χ = -1.32