{
  "modelVersion": "stellar-rates-quadratic-luna-v2",
  "reference": "Published cubic Eq. 2 integrated with explicit SI conversion; rounded Extended Data Table 2 central rates",
  "constants": {
    "atomicMassKg": 1.66053906892e-27,
    "protonMassU": 1.0072764665789,
    "deuteronMassU": 2.013553212544,
    "atomicMassEnergyKeV": 931494.10372,
    "fineStructure": 0.0072973525643,
    "boltzmannKeVPerGK": 86.17333262,
    "electronVoltJoule": 1.602176634e-19,
    "avogadro": 6.02214076e+23
  },
  "reducedMassU": 0.6714065275566293,
  "gamowEnergyKeV": 657.394504105193,
  "quadrature": {
    "method": "composite Simpson in log energy",
    "minimumKeV": 0.0001,
    "maximumKeV": 2000,
    "intervals": 2048
  },
  "comparison": [
    {
      "temperatureGK": 0.001,
      "rate": 1.37e-11,
      "low": 1.35e-11,
      "high": 1.39e-11,
      "recalculated": 1.3781390099335357e-11,
      "relativeDifference": 0.005940883163164656
    },
    {
      "temperatureGK": 0.005,
      "rate": 0.0000257,
      "low": 0.0000253,
      "high": 0.0000262,
      "recalculated": 0.000025833194649510155,
      "relativeDifference": 0.005182671187165422
    },
    {
      "temperatureGK": 0.01,
      "rate": 0.00153,
      "low": 0.00151,
      "high": 0.00156,
      "recalculated": 0.001537701548544904,
      "relativeDifference": 0.005033691859414491
    },
    {
      "temperatureGK": 0.05,
      "rate": 0.908,
      "low": 0.894,
      "high": 0.922,
      "recalculated": 0.9096320458020412,
      "relativeDifference": 0.0017974072709703304
    },
    {
      "temperatureGK": 0.1,
      "rate": 5.74,
      "low": 5.65,
      "high": 5.84,
      "recalculated": 5.7518217599752814,
      "relativeDifference": 0.0020595400653800056
    },
    {
      "temperatureGK": 0.5,
      "rate": 129,
      "low": 126,
      "high": 132,
      "recalculated": 128.90637194004296,
      "relativeDifference": -0.0007257989143956145
    },
    {
      "temperatureGK": 1,
      "rate": 363,
      "low": 352,
      "high": 374,
      "recalculated": 363.1640138790441,
      "relativeDifference": 0.0004518288678900806
    }
  ],
  "limitations": "This central-rate benchmark differs by up to 0.6% from rounded published values at low temperature. It is not an exact reproduction of their all-dataset fit or uncertainty band. Browser results use a separate fit to the 13 LUNA points.",
  "defaultFit": {
    "parameters": {
      "temperatureMK": 100,
      "maximumEnergyKeV": 263,
      "normalizationPercent": 2.4,
      "calibrationKeV": 0.3
    },
    "fit": {
      "coefficients": [
        0.1725092808042632,
        0.6483825942138779,
        0.03887075476297497
      ],
      "covariance": [
        [
          0.0003412721997214015,
          -0.0004814063311577226,
          0.00014833442853778392
        ],
        [
          -0.0004814063311577225,
          0.0007615525521042909,
          -0.00025053510715285666
        ],
        [
          0.00014833442853778392,
          -0.0002505351071528567,
          0.00008687442708962739
        ]
      ],
      "points": [
        {
          "energyKeV": 32.4,
          "sFactorEVBarn": 0.386,
          "statisticalEVBarn": 0.014,
          "systematicEVBarn": 0.01
        },
        {
          "energyKeV": 66.7,
          "sFactorEVBarn": 0.627,
          "statisticalEVBarn": 0.009,
          "systematicEVBarn": 0.016
        },
        {
          "energyKeV": 99.5,
          "sFactorEVBarn": 0.85,
          "statisticalEVBarn": 0.008,
          "systematicEVBarn": 0.021
        },
        {
          "energyKeV": 115.9,
          "sFactorEVBarn": 0.966,
          "statisticalEVBarn": 0.009,
          "systematicEVBarn": 0.024
        },
        {
          "energyKeV": 132.9,
          "sFactorEVBarn": 1.133,
          "statisticalEVBarn": 0.004,
          "systematicEVBarn": 0.031
        },
        {
          "energyKeV": 149.3,
          "sFactorEVBarn": 1.223,
          "statisticalEVBarn": 0.006,
          "systematicEVBarn": 0.031
        },
        {
          "energyKeV": 166.1,
          "sFactorEVBarn": 1.375,
          "statisticalEVBarn": 0.004,
          "systematicEVBarn": 0.036
        },
        {
          "energyKeV": 182.7,
          "sFactorEVBarn": 1.475,
          "statisticalEVBarn": 0.006,
          "systematicEVBarn": 0.037
        },
        {
          "energyKeV": 199.5,
          "sFactorEVBarn": 1.648,
          "statisticalEVBarn": 0.003,
          "systematicEVBarn": 0.043
        },
        {
          "energyKeV": 222.8,
          "sFactorEVBarn": 1.791,
          "statisticalEVBarn": 0.006,
          "systematicEVBarn": 0.045
        },
        {
          "energyKeV": 232.9,
          "sFactorEVBarn": 1.866,
          "statisticalEVBarn": 0.012,
          "systematicEVBarn": 0.051
        },
        {
          "energyKeV": 252.9,
          "sFactorEVBarn": 2.073,
          "statisticalEVBarn": 0.012,
          "systematicEVBarn": 0.052
        },
        {
          "energyKeV": 262.9,
          "sFactorEVBarn": 2.156,
          "statisticalEVBarn": 0.02,
          "systematicEVBarn": 0.054
        }
      ],
      "chiSquared": 13.68373567057805,
      "degreesOfFreedom": 10
    },
    "rate": 5.380818017601342,
    "referenceRate": 5.7518217599752814,
    "statisticalSigma": 0.1682903117104618,
    "normalizationSigma": 0.1291396324224322,
    "calibrationSigma": 0.0827421791512073,
    "totalSigma": 0.22769484378987545,
    "measuredFraction": 0.4695827916940478,
    "gamowPeakKeV": 23.023461478795923,
    "thermalEnergyKeV": 8.617333262,
    "energyQuantilesKeV": [
      16.636545571642763,
      22.63124492527895,
      27.764590670524246,
      31.276481495031554,
      35.12668706999225,
      42.31650328009367,
      54.528118597053975
    ],
    "maximumPlotKeV": 300,
    "plottedFraction": 0.9999999999989637,
    "fullIntegralArea": 0.003736360824297659
  }
}
