Interactive Nuclear Physics Calculations - Distorted Wave Born Approximation
example_alpha_Sm148_elastic.clj when that binding is commented out).
Energy ranges and channel partial waves L are on each tab: Phase Shifts, R-Matrices, and Potentials (E + L). Cross-Sections, Elastic, and Inelastic use lab energies on those tabs only (no L for σ or dσ).
Potentials vs r do not depend on E or L; this grid is used for the same Numerov/phase run as the other two tabs below.
Total cross section uses the same E grid; the sum over L in the model uses a fixed default set (0–5) in the server — not edited here.
Computes single-channel elastic scattering for a chosen projectile + target, using the Woods–Saxon parameters above
as the effective optical potential for that system.
Default preset matches α + ¹⁴⁸Sm at Elab = 50 MeV (real [65, 7.5, 0.67] MeV/fm + imaginary volume WS W₀ = 30 MeV via *elastic-imag-ws-params*).
Elastic dσ sums nuclear partial waves L = 0 … Lmax (default 41). Large Lmax with a strong real well plus Coulomb can inflate fN numerically (e.g. p+¹⁶O dσ/σRuth ≫ 10³); use V0=R0=0 to verify ratio ≡ 1.
Real Woods-Saxon (V₀, R₀, a₀) from main parameters. Optional complex (optical) Woods-Saxon for absorption:
Ratio uses point Rutherford in the CM frame. Sanity: Coulomb-only (V0=R0=0, a0>0) ⇒ ratio 1. With the tutorial well (V0=40), raising “Max L” can explode dσ/σRuth at some angles—raise L only if you need a more converged forward nuclear term.
Like the Transfer tab, use two boxes on the left for reaction setup and on the right for entrance vs exit optical potentials. Uncheck “same exit optical” to set different distorting wells for the excited channel. Real V₀, R₀, a₀ at the entrance mirror the global sliders (below); calculation radius is shared.
Distorted wave χi and macroscopic form factor dV/dr use this Woods–Saxon.
Use the boxes below for transfer kinematics, separate entrance/exit bound wells (schematic zero-range), optional different imaginary parameters (echoed by the API), and radial mesh. ℓ denotes orbital multipoles in the reduced Tℓ coupling.
L_values; multipole ℓ, not Lα
Woods–Saxon for the initial overlap orbit.
Echoed in API; schematic path is still real kinematics only.
Default curve (on load / when you change target or reaction type): 16O(p,d)15O at 20 MeV lab. For ¹⁶O + (d,p), the preset is ZR **¹⁶O(d,p)** (mb/sr, CM). Use Calculate for a full scan with current energies and mesh.
Data Points
Energy Range (MeV)
Angular Momenta
Calculation Time