{
  "visual_id": "E25-exact-finite-nuclei",
  "title": "Exact small-box controls on the correlated approximation",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20260930T183857233297Z-E35-finite-exact"
  ],
  "claim_ids": [
    "C02",
    "C06"
  ],
  "input_files": [
    {
      "path": "runs/20260930T183857233297Z-E35-finite-exact/exact-comparison.csv",
      "sha256": "f7b0e3268b6e5963a3c459f35ed470221e99945999a518596362b2babf3758dd"
    },
    {
      "path": "runs/20260930T183857233297Z-E35-finite-exact/momentum-sectors.csv",
      "sha256": "2ef72e65d4a9905868dbab1bfbc892bf548363ff940455279912a7ccb6f7f1d9"
    }
  ],
  "configurations": {
    "E35-finite-exact": {
      "parents": [
        "20260930T015504482144Z-E35-lattice-matching",
        "20260930T030807570905Z-E35-finite-CCSD"
      ],
      "L": 2,
      "A": [
        2,
        3,
        4
      ],
      "momentum_sectors": "all eight cubic-box total momenta",
      "counts": [
        [
          1,
          1
        ],
        [
          2,
          1
        ],
        [
          2,
          2
        ]
      ],
      "gA": 1.287,
      "a_inverse_MeV": 0.01,
      "exact_residual_tolerance_MeV": 5e-08,
      "local_smearing": "Sum all six directed periodic neighbors; at L=2 opposite images coincide and their weights add.",
      "A3_initial_state": "Project the largest-overlap localized determinant onto the complete exact degenerate ground eigenspace before extracting connected amplitudes.",
      "root_refinement": "Retry DIIS with memory 24, damping 0.5, SVD cutoff 1e-13 and explicitly normalized coefficients, up to 2400 iterations; original tolerance 1e-10.",
      "CCSD_initialization": "Exact ground-state C1/C2 converted to connected T1/T2 at the largest-overlap determinant; higher connected amplitudes omitted."
    }
  },
  "assumptions": {
    "E35-finite-exact": [
      "Use the same pinned finite-range A/B two-body Hamiltonian, without fitting any interaction or removing an operator.",
      "The source local-smearing distance test counts coincident opposite neighbors only once at L=2. Restore the directed-neighbor sum already used by its nonlocal smearing and the independent Fourier equations; record the original discrepancy. This changes no L>=3 result.",
      "The normalized translation basis retains fermionic permutation signs. All momentum-sector dimensions must sum to the full fixed-charge Fock dimension.",
      "Diagonalize each sector and verify Hermiticity, vector normalization and an independent residual. The reported exact ground energy is the minimum over all momenta in this finite box.",
      "An independent relative-coordinate Fourier equation controls the two-particle energy. A two-body Fock operator already contains normalized antisymmetric pair matrix elements; it has no extra combinatorial factor.",
      "CCSD starts from exact singles/doubles only as a method-error diagnostic. This uses the exact answer to initialize a nearby root; it is not independent predictive ground-state discovery.",
      "The tensor force does not conserve spin projection alone. No spin component is deleted. A separate dense eigensolve resolves the complete three-nucleon ground eigenspace, then its spectral projector selects a reference-aligned vector without changing the exact energy or the Hamiltonian.",
      "Restore the complete source Fock field as in the prior audit. No three-body force or NO2B truncation occurs, so a converged CCSD difference is a state/representation approximation within this finite Hamiltonian.",
      "Independently construct T1+T2 as a full Fock-space operator and evaluate exp(-T) H exp(T). Its reference energy and single/double projected residuals must verify the source CC equations before attributing a difference to state truncation.",
      "A small periodic box does not predict physical tritium/helium binding, bound omitted correlations in larger boxes, or establish a thermodynamic phase or a field history."
    ]
  },
  "plotted_values": {
    "path": "E25-exact-finite-nuclei-data.json",
    "sha256": "d4c3521813c6ba819cc02d447dca3990ec8a05cb9e00fa35dd29debee640b7ac"
  },
  "caption": "Exact fixed-charge Fock calculations for two, three and four nucleons use the same finite-range A/B forces in an L=2 periodic box. Coincident periodic neighbors carry both directed weights, matching the independent Fourier operators. Fermionic translation signs are retained and all eight total-momentum sectors partition the full Hilbert space. The exact two-particle energy also agrees with the independent Fourier solver. The CCSD comparison is initialized using exact connected singles/doubles as a local method diagnostic, not an independent search for the ground state. Complete Wick fields and converged amplitude residuals are checked. An independent full-space evaluation of exp(-T) H exp(T) verifies the energy and singles/doubles equations without using the source diagram contractions. There is no three-body force or NO2B approximation here. The differences characterize the accepted local roots and references in this small box; they are not uncertainty bounds for the larger nuclei or volumes.",
  "alt_text": "The plot separates finite-box CCSD approximation error from numerical eigensolver error and checks that the exact lowest state lies in the zero-momentum sector.",
  "generator": "src/metastable/public_report.py",
  "generator_sha256": "9e263878b7237d781a41d94693004412279b5cfa808ccd6e335b7b07269910d4",
  "generator_dependencies_sha256": {
    "src/metastable/render.py": "ff4837be5102588b6614aeb2b7880b10c0a0c20a155e2eb7b409014a47a3de01",
    "src/metastable/spin_report.py": "dd5c64c5c658938948672a7dc767aa02c34dde012c3fc4aedfc3642f88796847",
    "src/metastable/continuation_report.py": "f9bbce6d0e201a9f55c826d6e9c47ab901e51a71b4a1f962b52eb08a63ba5fe9",
    "src/metastable/refinement_report.py": "4539c0ec814603105ab3a2b5cc82ce291c0151113b5bd3916cdc235aadb9bfb0",
    "src/metastable/atomic_mass_report.py": "46dd1cdb56a5a02cafe001a1f6a7fb201e149461850df41e012f77a580c3694b",
    "src/metastable/closure_report.py": "b34a03a9e0058eed65722df542dbb92691dd138787e2078b43ee9f18e221f75c",
    "src/metastable/october_report.py": "f93e7f89e43165d8d25e2184b9b32e6e21c3e1ffe66020d35944f263aaecb726",
    "src/metastable/october_followup_report.py": "925d905ff3bddf97a7ace2f68a4a28e7dfea2238c4f81d891dda2a9e70c6d4f6",
    "src/metastable/october_dynamics_report.py": "6b8d84c0ce0d78f52d064c68697f0d9c885cdc736e215b54eba46821dbe59a33",
    "src/metastable/october_calibration_report.py": "f714ef7ccfaa26e847c6135054f53528b3ff1d7096e7d113cffeea333e77e3d2",
    "src/metastable/october_interface_report.py": "2fc8826a33c952d7898154f84830748c26842c9a165d14aa7b7fb9721fac00bd",
    "src/metastable/october_checkpoint8_report.py": "f3b54f23510b9bfeffc5ff04e6df54e967228f43ba25a15e12e34f898cdfe0af",
    "src/metastable/october_checkpoint9_report.py": "4bd987aac59964ccb4768a95e0cb6f7d1fdccbeffe9483860da7b431f2224ae4",
    "src/metastable/october_checkpoint10_report.py": "9da673d773b63298e041914447ffd97065c1cf2b8966c90fc4ebcbee25a0ed63",
    "src/metastable/october_checkpoint11_report.py": "5f01064f02f4c76d0059d348a763b285c92c3677e6cb0ba0bbf7faa1a4b98248",
    "src/metastable/october_checkpoint12_report.py": "46022030652e3a1e274dfd27b36dfab25d90a97fde439b1da44d6f1fdc5140b5",
    "src/metastable/october_checkpoint13_report.py": "997c59be3af1b6b7be95fd4314e0f3b98c562629901a639572284045a65980c2",
    "src/metastable/october_checkpoint14_report.py": "d84de7d8516d8a4d8e21b5f9f279476f3035f719c1c8ab03b7ac1e44bf822240",
    "src/metastable/october_checkpoint15_report.py": "1f6e17b9549dc31fbb58ba578c4d8ed8e219b4ad30810df0a9d7d2d00e63efdc",
    "src/metastable/october_checkpoint16_report.py": "74cb8aac45d1d5ce0e6eb6678e9b6cdf98cd46fd6e264a513b612ab763fcd034",
    "src/metastable/october_checkpoint17_report.py": "9daceb74e91f6f8db0f7d89929226d46c464c284d06d0694f525fecf0c736bf6",
    "src/metastable/october_checkpoint18_report.py": "f33f88e316cae93af87cef75d8df41ce82970c8f8bc466dd7a094a92c5f00f8b",
    "src/metastable/october_checkpoint19_report.py": "ce2250507145354b6478cafaaff98c2b8ae2795c3c309f0d903a920365a77090",
    "src/metastable/october_checkpoint20_report.py": "e2ea0a8a374036254008cf6de8f10352dfb2585c4ccb18c1e850c017e6128294",
    "src/metastable/october_checkpoint21_report.py": "596b873676167227b2c92d358fcdbc0614908a5a9daad1da6227b81fce203eec",
    "src/metastable/publication_files.py": "e68bd0ee4e849a72fa828f0cfcf34cb6b1b9f2a8bbdbb3d51085054915039607"
  },
  "command": "python run.py full public-report",
  "output_sha256": {
    "svg": "f294e6792315fe416c6185ba18f2d24cff8f182356a9e6022d908f8a680e7a4e",
    "png": "d94adc8e7747902bbbc678b7dd59156db9c768b75573d11f5aa8d2c67b6bdd1e"
  }
}