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838 public concepts
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- Restricted AV18 deuteron-to-nn 3P0 vector-charge overlap — At one fixed reactor kinematic point, the leading one-body isovector charge, AV18 deuteron S wave and AV18 nn 3P0 unit-incoming wave yield a reproducible radial overlap relative to a free final P wave.
- AV18 nn 3P0 leading one-body differential channel — At one frozen reactor kinematic point, an explicit S/D deuteron-to-nn 3P0 angular projection and finite-positron-mass lepton contraction turn AV18 radial states into a normalized leading-nonrelativistic vector-charge plus spatial-axial single-channel differential contribution.
- AV18 triplet P/F leading one-body fixed-point channel sum — The AV18 deuteron S/D state and nn 3P0, 3P1 and coupled 3P2-3F2 scattering states define separate leading-NR one-body differential contributions at one reactor kinematic point. Coupled incoming P/F labels and distinct J sectors are summed as orthogonal final probabilities.
- AV18 singlet S leading one-body axial fixed point — The AV18 deuteron S/D state and full-source nn 1S0 scattering state give a leading-NR one-body spatial-axial differential contribution at one reactor kinematic point.
- Full-AV18 singlet and retained triplet partial fixed-point sum — Full-source AV18 nn 1S0 and electromagnetic-inclusive 3P0, 3P1 and coupled 3P2-3F2 scattering states are combined as orthogonal leading-NR one-body final channels at one frozen antineutrino-deuteron breakup point.
- Full-AV18 nn 1D2 increment to a partial reactor fixed point — The full-source AV18 nn 1D2 singlet scattering state adds one orthogonal leading-NR one-body axial channel to the existing full-AV18 1S0 plus retained triplet P/F subset over a declared five-point kinematic grid.
- AV18 Poincare free-state normalization and boost-map diagnostic — A declared Bakamjian–Thomas embedding maps the frozen AV18 radial states to a delta-normalized relativistic two-nucleon basis and checks the external Jacobian and Wigner spin rotations at two reactor-breakup kinematic points.
- AV18 BT mass dictionary and singlet-S impulse admission gate — A declared unequal-mass pn BT spectral extension and equal-mass nn BT operator place the frozen 1S0 reactor point on one model shell, while plane-wave Fourier normalization is checked before any boosted impulse-current claim.
- AV18 singlet-S half-off-shell continuum distribution — The frozen AV18 nn 1S0 scattering wave is transformed as a delta shell plus a principal-value and i0 rescattering distribution, with its half-off-shell potential source derived from the same local AV18 radial equation.
- AV18 BT singlet-S leading-axial external-state impulse diagnostic — A two-spectator momentum-space 1S0 impulse integral combines the AV18 half-off-shell continuum distribution with BT canonical momenta, Jacobian, Wigner spins and deuteron S/D waves for the frozen leading spatial-axial current.
- AV18 BT singlet-S conditional exact Dirac-structure charged one-body current — At the frozen A point, both spectator terms are integrated through the checked AV18 1S0 continuum and BT state map with separately exported vector Dirac, Pauli, axial, and pseudoscalar free-spinor amplitudes and their complete conditional interference tensor.
- pp/pep tensor-current one-body anchor and two-body admission — The one-body axial and tensor charges share the allowed spin-isospin operator, while independent two-body currents prevent their nucleon-charge ratio from fixing the pp-to-deuteron tensor transition.
- Diproton forward tensor versus charged pp-to-deuteron selection — The leading one-body diproton spin-singlet forward isovector tensor matrix element vanishes while the charged spin/isospin pp-to-deuteron tensor transition is nonzero in the same normalized two-nucleon basis.
- Conditional pp/pep tensor-ratio mismatch from channel overlaps — Distinct pp and pep contact-to-one-body overlaps produce a calculable difference between their signed tensor-to-axial ratios under one common leading allowed current.
- Conditional pp/pep electron-contact covariance mechanism — On a common real radial-current grid, scalar pep contact reweighting changes the two-body-to-one-body overlap by an exact signed algebraic covariance.
- B16 pp/pep shared-input covariance component — Published B16-HZ logarithmic flux derivatives and input errors give a reproducible partial pp/pep covariance for thirteen common nuclear and environmental inputs under an explicit independent-input linear approximation.
- B16 pp/pep all-input linear covariance estimate — A first-order reconstruction adds nine independently sampled GS98 logarithmic abundance errors to the thirteen published nuclear and environmental input responses, yielding a 22-input pp/pep source-flux covariance estimate.
- B16-GS98 first-order five-flux covariance candidate — Seven B16-GS98 source flux responses to 22 independent model inputs are linearly propagated and projected to pp, Be7, pep, a source-flux-sum CNO coordinate and B8.
- Published B16-GS98 flux correlations projected to five source fluxes — A Borexino thesis's printed high-Z B16 eight-flux correlation matrix and B16 Table 6 rounded marginals form a fractional source covariance, projected onto pp, Be7, pep, a source-flux-sum CNO coordinate and B8.
- Isotope-resolved B16 CNO hit-weight diagnostic — Published N13, O15 and F17 source spectra and B16 radial profiles are propagated through adiabatic MSW, Born neutrino-electron scattering and an independent reconstructed Gaussian Borexino hit response.
- B16 isotope CNO hit shapes against the fitted Phase-II figure curve — Three B16-GS98 CNO neutrino spectra are propagated through MSW, Born recoil and a reconstructed Gaussian hit response, then compared on visible support with Figure 7's fitted aggregate CNO curve.
- B16 source uncertainty in unperturbed pp/pep interaction rates — The B16-GS98 22-input linear source covariance is carried through a fixed source-weighted MSW and full-recoil Born neutrino-electron rate model using the exact flux-scaling Jacobian.
- B16 radial source-profile response through MSW and Born scattering — An authenticated B16 pp or pep production profile is reweighted by a declared local emissivity perturbation, and its normalization and source-profile effects on full-recoil MSW/Born rates are separated.
- Conditional B16 temperature-weighted pp weak response — The same frozen electron weak dipole and induced charged-current terms are averaged over point-Coulomb Maxwell–Gamow pp entrance energies on authenticated B16 temperature profiles, with the physical tensor transition left as an explicit affine input.
- Conditional B16 thermal-electron pep trace — The same frozen electron weak dipole is evaluated with a Maxwell distribution of moving plane-wave incoming electrons on B16 temperatures; exact angular reduction leaves a one-dimensional allowed-current trace integral.
- Conditional B16 pep point-Coulomb electron trace — The historical Bahcall–May electron-capture kernel conditionally weights both Standard Model and frozen electron weak-dipole allowed pep traces on B16 temperature profiles.
- Published three-body Standard Model pep entrance-energy window — The published three-body Standard Model pep Gamow factor and Gauss/Yukawa S-factor fits weight the total electron-plus-proton-pair entrance energy on the fixed B16 source temperatures.
- Factorized three-body pep entrance-energy partition and electron dipole trace — A conditional Beta-distributed electron share of the published Standard Model total entrance energy is joined to the free-spinor allowed-current electron-dipole interference trace.
- Pep factorized free-spinor angular envelope — The leading allowed pep free-spinor direct dipole interference ratio decreases with electron–neutrino alignment, and its Beta-share average can change sign on the published energy-only Standard Model kernel.
- Pep free-spinor trace moments and averaging-order diagnostic — At leading allowed order the pep direct and tensor trace ratios depend on only the mean incoming electron energy and the first longitudinal electron-momentum moment under a common pre-leptonic scalar measure.
- Pep factorized entrance-energy and solar line-convention check — The three-body Standard Model entrance-energy density implies a no-recoil pep neutrino-energy proxy mean; recoil, thermal boost, Bahcall thermal shifts and an independent separable-Coulomb entrance model compare its line mapping. A fixed-kernel hyperangular tilt separates electron-share sensitivity of the dipole trace from the total-energy line centroid.
- Fixed-flux pep line energy through B16 MSW and provisional Borexino hit response — A versioned delta-line probe carries alternative pep solar-frame energies through the same fixed B16-GS98 radial MSW state, Born neutrino-electron recoil calculation, and provisional selected-hit response.
- Factorized pep source line shape through B16 MSW and provisional hit response — The published three-body scalar entrance-energy kernel is normalized at each B16-GS98 pep production radius, mapped through exact center-of-mass recoil and a leading Maxwell boost, then integrated jointly with radial MSW survival and pure-flavor Born recoil/hit kernels.
- Pep scalar-kernel neutrino q-squared phase-space reweight — Holding the published 2013 Gauss nuclear overlap and three-body entrance kernel fixed, replace only its explicit no-recoil neutrino q-squared factor with exact center-of-mass two-body q-squared, then fold the renormalized line shape through the fixed B16 detector model.
- Open Gaussian three-body pep Standard Model radial reconstruction — A versioned K=0 Gaussian hyperradial pep/deuteron overlap attempt shows that the reconstructed Standard Model S_pep shape depends on the continuum Coulomb-matching radius.
- Reported pep phase shifts locate a nonasymptotic near Coulomb match — Under a declared real-Coulomb-G inference, the two reported Gaussian three-body phase magnitudes select approximately the same 22 fm radius; that phase-selected radius predicts a near-match Standard Model S-pep shape close to the separately printed polynomial.
- Far-normalized Gaussian pep state and same-state electron gradient — The printed Gaussian K=0 radial equation has a numerically stable far Coulomb Wronskian amplitude. The finite-phase scalar contact and one signed electron-envelope gradient component are evaluated on that identical far-normalized state.
- Integrated pep spatial envelope Ward orbit on a far-normalized state — The finite-phase two-contact electron-envelope spatial momentum shifts under a pure U(1) gauge orbit, while its required photon contact restores the same covariant value on the far-normalized Gaussian K=0 pep state.
- Counterfactual Gaussian pep nuclear-tail cutoff sensitivity — A versioned Numerov scan replaces the published Gaussian nuclear potential by a hard-cutoff variant at fixed radii, exposing how its hyperradial tail changes the normalized Standard Model pep energy shape.
- K=0 pep capture-point electron-gradient angular selection — The published isotropic K=0 pep state and contact Jacobi map make the incoming electron's spatial gradient parallel to the proton-separation direction, whose leading allowed S-wave angular moment vanishes.
- Finite-neutrino-phase K=0 pep electron-gradient kernel — Restoring the outgoing-neutrino phase at the two proton contact points turns the isotropic electron-gradient angular zero into a j1 recoil kernel on the same Gaussian K=0 radial state.
- Signed two-contact K=0 pep electron-envelope momentum — An explicit outgoing-neutrino Fourier phase and incoming-electron momentum operator give a signed longitudinal electron-envelope insertion; direct two-contact quadrature closes against the j1 reduction.
- Conditional K=0 pep recoil insertion in charged spin trace — A factorized stationary electron spinor and K=0 scalar envelope place the signed longitudinal momentum into the free on-shell EOM-reduced charged trace, producing a checked minus-one-third substitution slope.
- Direct charged-Pauli pep contact-state response without an electron EOM — The charged field-strength vertex defines a local allowed-GT interference functional of the electron contact spin-density shape and the covariant nuclear-current transfer, without imposing a free-electron equation of motion.
- Joint pep electron and covariant current-gradient interference interface — A direct-Pauli charged-current trace consumes the same-state joint electron spinor, GT current and covariant current-gradient densities; a free factorized substitution recovers the earlier local contact trace.
- Coherent pep SM and Pauli contact-amplitude ordering — Spatial contact cells within one pep transition add coherently in both Standard Model and charged-Pauli amplitudes before their joint density and interference are formed; orthogonal external channels add afterward.
- Explicit coherent Gaussian pep scalar-gradient quadrature — On the far-normalized 6-keV Gaussian K0 scalar state with a stationary electron spinor and constant allowed GT current, 3500 radial-shell amplitudes are coherently integrated before the charged-Pauli interference trace is formed.
- Pep source Fourier-phase orientation on one Gaussian contact state — The existing exp(-i k_nu z) scalar contact phase is the spatial part of the declared outgoing-lepton exp(+i q_mu x^mu) mode in metric (+---); reversing only that spatial phase leaves the scalar overlap even and reverses its envelope-gradient momentum.
- Direct charged-Pauli pep scalar-envelope gradient trace — On one stationary-electron Gaussian K0 scalar contact state, the original charged-Pauli tensor has trace ratio -q0+2qz/3; covariant spatial integration by parts makes its conditional gradient shift -2p_env/3.
- Charged pep LEFT derivative electromagnetic contact — The published electromagnetic covariant derivative fixes a minus-e A_mu electron-photon contact in the charged lepton bilinear, and that contact cancels the local U(1) phase-gradient shift.
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