diff --git a/nucleons.jl b/nucleons.jl index 0b0248d..271684c 100644 --- a/nucleons.jl +++ b/nucleons.jl @@ -16,7 +16,7 @@ const r_reg = 1E-8 # fm # regulator for the centrifugal term f2(r) = -M+Φ0(r)-W0(r)-(p-0.5)*2B0(r)-p*A0(r) is a function of r in MeV (see optimized_dirac_potentials()), r is the radius in fm. Reference: P. Giuliani, K. Godbey, E. Bonilla, F. Viens, and J. Piekarewicz, Frontiers in Physics 10, (2023)" -function dirac!(du, u, (κ, E, f1, f2), r) +function dirac!(du::Vector{Float64}, u::Vector{Float64}, (κ, E, f1, f2), r::Float64) # TODO: Static typing (g, f) = u @inbounds du[1] = -(κ/(r + r_reg)) * g + (E + f1(r)) * f / ħc @inbounds du[2] = (κ/(r + r_reg)) * f - (E + f2(r)) * g / ħc @@ -25,7 +25,7 @@ end "Get the potentials f1 and f2 that goes into the Dirac equation, defined as f1(r) = M-Φ0(r)-W0(r)-(p-0.5)*2B0(r)-p*A0(r), f2(r) = -M+Φ0(r)-W0(r)-(p-0.5)*2B0(r)-p*A0(r)." -function optimized_dirac_potentials(p, s::system) +function optimized_dirac_potentials(p::Bool, s::system) M = p ? M_p : M_n f1s = zero_array(s) @@ -44,7 +44,7 @@ end divs is the number of mesh divisions so solution would be returned as a 2×(1+divs) matrix, shooting method divides the interval into two partitions at r_max/2, ensuring convergence at both r=0 and r=r_max, the other parameters are the same from dirac!(...)." -function solveNucleonWf(κ, p, E, s::system; shooting=true, normalize=true, algo=Tsit5()) +function solveNucleonWf(κ, p::Bool, E, s::system; shooting=true, normalize=true, algo=Tsit5()) (f1, f2) = optimized_dirac_potentials(p, s) if shooting @@ -81,7 +81,7 @@ end "Returns a function that solves the Dirac equation and returns g(r=r_max) where r_max is the outer boundary in fm, the other parameters are the same from dirac!(...)." -function boundaryValueFunc(κ, p, s::system; dtype=Float64, algo=Tsit5()) +function boundaryValueFunc(κ, p::Bool, s::system; dtype=Float64, algo=Tsit5()) prob = ODEProblem(dirac!, convert.(dtype, [0, 1]), (0, s.r_max)) (f1, f2) = optimized_dirac_potentials(p, s) func(E) = solve(prob, algo, p=(κ, E, f1, f2), saveat=[s.r_max], save_idxs=[1])[1, 1] @@ -91,7 +91,7 @@ end "Find all bound energies between E_min (=850.0) and E_max (=938.0) where tol_digits determines the precision for root finding and the threshold for identifying duplicates, the other parameters are the same from dirac!(...)." -function findEs(κ, p, s::system, E_min=850.0, E_max=938.0, tol_digits=5) +function findEs(κ, p::Bool, s::system, E_min=850.0, E_max=938.0, tol_digits=5) func = boundaryValueFunc(κ, p, s) Es = find_all_zeros(func, E_min, E_max; partitions=20, tol=1/10^tol_digits) return unique(E -> round(E; digits=tol_digits), Es) @@ -99,7 +99,7 @@ end "Find all orbitals and return two lists containing κ values and corresponding energies for a single species where the other parameters are defined above" -function findAllOrbitals(p, s::system, E_min=850.0, E_max=938.0) +function findAllOrbitals(p::Bool, s::system, E_min=850.0, E_max=938.0) κs = Int[] Es = Float64[] # start from κ=-1 and go both up and down @@ -140,7 +140,7 @@ l_κ(κ::Int) = abs(κ) - (κ < 0) # since true = 1 and false = 0 "Calculate scalar and vector densities of a nucleon species on [0,r_max] divided into (divs+1) points and returns them as vectors (ρ_s, ρ_v) where the arrays κs, Es, occs tabulate the energies and occupation numbers corresponding to each κ, the other parameters are defined above" -function calculateNucleonDensity(κs, Es, occs, p, s::system) +function calculateNucleonDensity(κs, Es, occs, p::Bool, s::system) ρr2 = zeros(2, s.divs + 1) # ρ×r² values for (κ, E, occ) in zip(κs, Es, occs) @@ -161,7 +161,7 @@ end "Solve the Dirac equation and calculate scalar and vector densities of a nucleon species where the other parameters are defined above" -function solveNucleonDensity(p, s::system, E_min=850.0, E_max=938.0) +function solveNucleonDensity(p::Bool, s::system, E_min=850.0, E_max=938.0) κs, Es = findAllOrbitals(p, s, E_min, E_max) occs = fillNucleons(Z_or_N(s, p), κs, Es) return calculateNucleonDensity(κs, Es, occs, p, s)