From 20e6b5ba8473a5e1e15af8e95ff0ac47a21be578 Mon Sep 17 00:00:00 2001
From: Nuwan Yapa <yapanuwan@gmail.com>
Date: Fri, 31 Jan 2025 13:47:45 -0500
Subject: [PATCH] All units sorted out (works but unstable)

---
 mesons.jl | 22 ++++++++++------------
 1 file changed, 10 insertions(+), 12 deletions(-)

diff --git a/mesons.jl b/mesons.jl
index f0a4602..f0cd7a6 100644
--- a/mesons.jl
+++ b/mesons.jl
@@ -12,10 +12,10 @@ const g2_s = 110.349189097820 # dimensionless
 const g2_v = 187.694676506801 # dimensionless
 const g2_ρ = 192.927428365698 # dimensionless
 const g2_γ = 0.091701236 # dimensionless # equal to 4πα
-const κ = 3.260178893447
-const λ = -0.003551486718 # LambdaSS
-const ζ = 0.023499504053 # LambdaVV
-const Λv = 0.043376933644 # LambdaVR
+const κ = 3.260178893447 # MeV
+const λ = -0.003551486718 # dimensionless # LambdaSS
+const ζ = 0.023499504053 # dimensionless # LambdaVV
+const Λv = 0.043376933644 # dimensionless # LambdaVR
 
 const r_reg = 1E-9 # fm # regulator for Green's functions
 
@@ -25,13 +25,13 @@ greensFunctionKG(m, r, rp) = -1 / (m * (r + r_reg) * (rp + r_reg)) * sinh(m * mi
 "Green's function for Poisson's equation in natural units"
 greensFunctionP(r, rp) = -1 / (max(r, rp) + r_reg)
 
-"Solve the Klein-Gordon equation (or Poisson's equation when m=0) for a given a source function (as an array) where
+"Solve the Klein-Gordon equation (or Poisson's equation when m=0) and return an array in MeV for a source array given in fm⁻³ where
     m is the mass of the meson in MeV/c2,
     r_max is the r-cutoff in fm."
 function solveKG(m, source, r_max)
     Δr = r_max / (length(source) - 1)
     rs = range(0, r_max; length=length(source))
-    int_measure = Δr .* rs .^ 2
+    int_measure = ħc .* Δr .* rs .^ 2
 
     greensFunction = m == 0 ? greensFunctionP : (r, rp) -> greensFunctionKG(m / ħc, r, rp)
     greenMat = greensFunction.(rs, transpose(rs))
@@ -52,17 +52,15 @@ function solveMesonWfs(ρ_sp, ρ_vp, ρ_sn, ρ_vn, r_max, divs, iterations=3; in
     (src_Φ0, src_W0, src_B0, src_A0) = (zeros(1 + divs) for _ in 1:4)
 
     # A0 doesn't need iterations
-    @. src_A0 = -g2_γ * ρ_vp * ħc
+    @. src_A0 = -g2_γ * ρ_vp
     A0 .= solveKG(m_γ, src_A0, r_max)
 
     for _ in 1:iterations
-        @. src_Φ0 = g2_s * ((κ/2) * (Φ0/ħc)^2 + (λ/6) * (Φ0/ħc)^3) - g2_s * ħc * (ρ_sp + ρ_sn)
+        @. src_Φ0 = g2_s * ((κ/ħc)/2 * (Φ0/ħc)^2 + (λ/6) * (Φ0/ħc)^3) - g2_s * (ρ_sp + ρ_sn)
+        @. src_W0 = g2_v * ((ζ/6) * (W0/ħc)^3 + 2Λv * (B0/ħc)^2 * (W0/ħc)) - g2_v * (ρ_vp + ρ_vn)
+        @. src_B0 = 2Λv * g2_ρ * (W0/ħc)^2 * (B0/ħc) - g2_ρ/4 * (ρ_vp - ρ_vn)
         Φ0 .= solveKG(m_s, src_Φ0, r_max)
-
-        @. src_W0 = g2_v * ħc * ((ζ/6) * (W0/ħc)^3 + 2Λv * (B0/ħc)^2 * (W0/ħc)) - g2_v * (ρ_vp + ρ_vn) * ħc
         W0 .= solveKG(m_ω, src_W0, r_max)
-
-        @. src_B0 = 2Λv * g2_ρ * W0^2 * B0 / ħc^2 - (g2_ρ / 4) * (ρ_vp - ρ_vn) * ħc
         B0 .= solveKG(m_ρ, src_B0, r_max)
     end