{
  "visual_id": "E33-atomic-mass",
  "title": "Finite nuclear motion shifts atomic capture thresholds",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20260930T210506521193Z-E29-atomic-mass",
    "20260930T200800704743Z-E29-atomic-capture"
  ],
  "claim_ids": [
    "C02",
    "C10"
  ],
  "input_files": [
    {
      "path": "runs/20260930T210506521193Z-E29-atomic-mass/inverse-mass-scan.csv",
      "sha256": "77e2b10b97deef639dd9b3a7e73b03ee73163a02d1c3c1bb07897235b60c4fd1"
    },
    {
      "path": "runs/20260930T210506521193Z-E29-atomic-mass/ordinary-atomic-reference.csv",
      "sha256": "a7b0e695f6a1c1aa1c2221dbc31e844dc08e5239cb87e4e3329361843759e44c"
    },
    {
      "path": "runs/20260930T210506521193Z-E29-atomic-mass/exclusive-ground-recoil.csv",
      "sha256": "7f6681981d44354bd58d7db58070911f692d775d9bab3ffe377ae31952c59d27"
    },
    {
      "path": "runs/20260930T210506521193Z-E29-atomic-mass/nuclear-mass-thresholds.csv",
      "sha256": "b11139c0248d9cc07073c43c7c5b6c0033a555bb2615971d504e5dae78178f5e"
    },
    {
      "path": "runs/20260930T210506521193Z-E29-atomic-mass/results.json",
      "sha256": "f465fb4e990f15e9d0d47e408a53b4fb7034d1e702bdde6015eec4e24bf0a22a"
    },
    {
      "path": "runs/20260930T200800704743Z-E29-atomic-capture/results.json",
      "sha256": "8a4699d0e43f04d6d8388f88e5e86536851213ee1a63f72ebf7aed54578ab119"
    }
  ],
  "configurations": {
    "E29-atomic-mass": {
      "parents": [
        "20260930T200800704743Z-E29-atomic-capture",
        "20260930T005525250915Z-E29-trinucleon-weak"
      ],
      "orders": [
        4,
        6,
        8,
        10
      ],
      "exponent_a0m1": 2.0,
      "metric_cutoff": 1e-13,
      "codata_nuclear_electron_mass_ratios": {
        "helion": 5495.88527984,
        "alpha particle": 7294.29954171,
        "triton": 5496.92153551
      },
      "inverse_mass_scan": [
        0.0,
        1.6666666666666667e-05,
        3.3333333333333335e-05,
        5e-05,
        6.666666666666667e-05,
        8.333333333333334e-05,
        0.0001,
        0.00011666666666666667,
        0.00013333333333333334,
        0.00015000000000000001,
        0.0001666666666666667,
        0.00018333333333333334,
        0.0002,
        0.00021666666666666668,
        0.00023333333333333333,
        0.00025,
        0.0002666666666666667,
        0.00028333333333333335,
        0.00030000000000000003,
        0.0003166666666666667,
        0.0003333333333333334,
        0.00035,
        0.00036666666666666667,
        0.00038333333333333334,
        0.0004,
        0.0004166666666666667,
        0.00043333333333333337,
        0.00045000000000000004,
        0.00046666666666666666,
        0.00048333333333333334,
        0.0005
      ],
      "neutrino_momenta_MeV": [
        0.0,
        0.01,
        0.1,
        1.0,
        5.0,
        10.0
      ]
    },
    "E29-atomic-capture": {
      "parent": "20260930T005525250915Z-E29-trinucleon-weak",
      "superseded_spectral_run": "20260930T195330723458Z-E29-atomic-capture",
      "orders": [
        2,
        4,
        6,
        8,
        10
      ],
      "exponent_a0m1": 2.0,
      "metric_cutoff": 1e-13,
      "radial_controls_step_outer_a0": [
        [
          0.04,
          50.0
        ],
        [
          0.02,
          50.0
        ],
        [
          0.02,
          70.0
        ]
      ],
      "temperatures_eV": [
        0.3,
        0.3640970941848195,
        0.4418889799794311,
        0.5363016452093493,
        0.650886235424207,
        0.7899526232095004,
        0.9587315155141826,
        1.163571196340407,
        1.412176304882321,
        1.7138976302810296,
        2.080083823051903,
        2.5245082521134945,
        3.0638870628004047,
        3.7185079215869634,
        4.5129930965101535,
        5.477225575051659,
        6.6474730535702875,
        8.06775207492277,
        9.791483623609764,
        11.883502450381874,
        14.422495703074075,
        17.503962587941057,
        21.24380638329711,
        25.78269391194466,
        31.291346445318972,
        37.97696104623705,
        46.09100387635,
        55.938668598134264,
        67.89035563049437,
        82.39560402745663,
        100.0
      ],
      "helium_nuclei_cm3": [
        100000000.0,
        100000000000.0,
        100000000000000.0
      ],
      "spectator_model": "analytic S-wave Coulomb bound and continuum measure",
      "bound_state_cutoffs": [
        400,
        800,
        1600
      ],
      "continuum_quadrature_points": [
        128,
        256,
        512
      ],
      "bound_overlap_quadrature_points": [
        64,
        128
      ],
      "selected_bound_cutoff": 1600,
      "selected_continuum_points": 512
    }
  },
  "assumptions": {
    "E29-atomic-mass": [
      "Solve the complete nonrelativistic point-Coulomb helium Hamiltonian after exact removal of center-of-mass motion: H=H_infinity+(p1+p2)^2/(2M). Ordinary electron mass and alpha are fixed.",
      "Nuclear masses in hypothetical cases use the frozen triton/He3 binding energies without refitting. Those nn-only perturbations are not a field-matched model. The ordinary nuclear mass discrepancy remains.",
      "CODATA helion/alpha/triton masses supply separate ordinary atomic reference cases; they do not replace masses in the nuclear-model trajectories.",
      "Zero-neutrino-momentum ground-spectator overlaps and channel thresholds are computed with consistent parent and daughter reduced masses. No finite-box spectrum supplies a threshold.",
      "Exclusive ground-spectator recoil form factors and exact two-body neutrino kinematics are isolated diagnostics. They omit weak recoil currents, relativistic atomic corrections and the boosted excited/continuum spectator sum, so no corrected inclusive lifetime is claimed.",
      "Basis, quadrature, exponent and metric controls estimate numerical sensitivity, not a physical precision error budget. Relativistic/QED, finite-size and hyperfine corrections remain absent."
    ],
    "E29-atomic-capture": [
      "Ordinary alpha and electron mass; independently frozen nuclear masses and one-body Fermi/GT strengths. An nn-only interaction perturbation is not a field-matched theory.",
      "Variational, explicitly correlated nonrelativistic helium ground state. Infinite nuclear mass, point Coulomb, no fitted atomic or nuclear contact density.",
      "Neutral capture uses the correlated coalescence wavefunction projected onto analytic hydrogenic ns and delta(k)-normalized Coulomb continuum functions. Endpoint-aware continuum quadrature uses a terminating Laplace/Pfaff polynomial; no finite box supplies the physical threshold or bound/continuum partition.",
      "Keep n<=1600 bound states in rates, without renormalizing the omitted positive Rydberg tail. Independent continuum completeness and n400/800/1600 refinements expose the remaining tail; bound total probability is radial norm minus the continuum integral.",
      "Finite-box spectra and their large-Q inclusive rates remain explicitly diagnostic. Their bound fractions, near-threshold rates and high-energy moments are not certified by inclusive rate convergence.",
      "Hydrogenic capture is analytic. Statistical unpolarized nuclear/electron spins; hyperfine-selective or polarized ion populations are outside this rate.",
      "Nuclear allowed approximation, neutron-lifetime normalization, no recoil, radiative, screening, finite-size or higher-order current correction. Numerical convergence is not a precision lifetime error budget.",
      "Ideal ground-state Saha equilibrium describes initial ion populations, not an evolved reacting plasma. Bare-ion continuum capture is calculated separately; free-electron capture on neutral/singly ionized atoms needs screened/exchange continuum states and is not silently included.",
      "The local nuclear Hamiltonian does not reproduce the small empirical tritium beta Q at every regulator. Its reversed ordinary-phase decay at R=2 or 2.5 fm is a model discrepancy, not observed helium instability."
    ]
  },
  "plotted_values": {
    "path": "E33-atomic-mass-data.json",
    "sha256": "48f701206f13e7e1c3d68f2bcae6c84d6804da286eafee3a92f95ad5dbc2d33e"
  },
  "caption": "The complete nonrelativistic center-of-mass kinetic operator is included in the correlated helium Hamiltonian. The independent finite-mass helium-4 energy, normal-mass scaling, positive nuclear kinetic operator, Hellmann\u2013Feynman response and basis controls pass. For ordinary helium-3 and tritium masses, neutral ground-channel capture shifts down by about 12.69 meV. A translational recoil boost changes the exclusive spectator 1s overlap; it can populate other bound and continuum angular momenta, which are not summed here. Crosses show sampled momenta without interpolation; filled dots retain the independently frozen hypothetical nuclear masses and their emitted neutrino momentum. No inclusive recoil-corrected rate, atomic QED precision or empirical helium instability is claimed.",
  "alt_text": "Finite nuclear mass raises helium electronic energy and reduces its contact density. Atomic capture thresholds shift down by roughly ten to fifteen millielectronvolts. Higher neutrino momentum suppresses the exclusive ground-spectator overlap.",
  "generator": "src/metastable/public_report.py",
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  "command": "python run.py full public-report",
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