more tests

docs/lambda-k-pi/manual.ipynb

@@ -6,6 +6,33 @@
    "source": [
     "# Amplitude model with `sympy`"
    ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "In this notebook, we formulate the amplitude model for the $\\gamma p \\to K^+ \\pi^0 \\Lambda $ symbolically by adapting the model originally for the $\\gamma p \\to \\eta\\pi^0 p$ channel example as described in [Reaction and Models](reaction-model.md).\n",
+    "\n",
+    "The model we want to implement is"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "$$\n",
+    "\\begin{array}{rcl}\n",
+    "I &=& \\left|A^{12} + A^{23} + A^{31}\\right|^2 \\\\\n",
+    "A^{12} &=& \\frac{\\sum a_m Y_2^m (\\Omega_1)}{s_{12}-m^2_{a_2}+im_{a_2} \\Gamma_{a_2}} \\\\\n",
+    "A^{23} &=& \\frac{\\sum b_m Y_1^m (\\Omega_2)}{s_{23}-m^2_{\\Delta^+}+im_{\\Delta^+} \\Gamma_{\\Delta^+}} \\\\\n",
+    "A^{31} &=& \\frac{c_0}{s_{31}-m^2_{N^*}+im_{N^*} \\Gamma_{N^*}} \\,,\n",
+    "\\end{array}\n",
+    "$$\n",
+    "\n",
+    "where $1=\\eta$, $2=\\pi^0$, and $3=p$.\n",
+    "\n",
+    "where $1=K^+$, $2=\\pi^0$, and $3=\\Lambda$."
+   ]
   }
  ],
  "metadata": {