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Neutrinos exist in one of three types or ‘flavours’—electron, muon and tau neutrinos—and oscillate from one flavour to another when propagating through space. This phenomena is one of the few that cannot be described using the standard model of particle physics (reviewed in ref.  1 ), and so its experimental study can provide new insight into the nature of our Universe (reviewed in ref.  2 ). Neutrinos oscillate as a function of their propagation distance ( L ) divided by their energy ( E ). Therefore, experiments extract oscillation parameters by measuring their energy distribution at different locations. As accelerator-based oscillation experiments cannot directly measure E , the interpretation of these experiments relies heavily on phenomenological models of neutrino–nucleus interactions to infer E . Here we exploit the similarity of electron–nucleus and neutrino–nucleus interactions, and use electron scattering data with known beam energies to test energy reconstruction methods and interaction models. We find that even in simple interactions where no pions are detected, only a small fraction of events reconstruct to the correct incident energy. More importantly, widely used interaction models reproduce the reconstructed energy distribution only qualitatively and the quality of the reproduction varies strongly with beam energy. This shows both the need and the pathway to improve current models to meet the requirements of next-generation, high-precision experiments such as Hyper-Kamiokande (Japan) 3 and DUNE (USA) 4 . Electron scattering measurements are shown to reproduce only qualitatively state-of-the-art lepton–nucleus energy reconstruction models, indicating that improvements to these particle-interaction models are required to ensure the accuracy of future high-precision neutrino oscillation experiments.

The atomic nucleus is composed of two different kinds of fermions: protons and neutrons. If the protons and neutrons did not interact, the Pauli exclusion principle would force the majority of fermions (usually neutrons) to have a higher average momentum. Our high-energy electron-scattering measurements using 12C, 27Al, 56Fe, and 208Pb targets show that even in heavy, neutron-rich nuclei, short-range interactions between the fermions form correlated high-momentum neutron-proton pairs. Thus, in neutron-rich nuclei, protons have a greater probability than neutrons to have momentum greater than the Fermi momentum. This finding has implications ranging from nuclear few-body systems to neutron stars and may also be observable experimentally in two-spin–state, ultracold atomic gas systems.

The strong nuclear interaction between nucleons (protons and neutrons) is the effective force that holds the atomic nucleus together. This force stems from fundamental interactions between quarks and gluons (the constituents of nucleons) that are described by the equations of quantum chromodynamics. However, as these equations cannot be solved directly, nuclear interactions are described using simplified models, which are well constrained at typical inter-nucleon distances 1 – 5 but not at shorter distances. This limits our ability to describe high-density nuclear matter such as that in the cores of neutron stars 6 . Here we use high-energy electron scattering measurements that isolate nucleon pairs in short-distance, high-momentum configurations 7 – 9 , accessing a kinematical regime that has not been previously explored by experiments, corresponding to relative momenta between the pair above 400 megaelectronvolts per c ( c , speed of light in vacuum). As the relative momentum between two nucleons increases and their separation thereby decreases, we observe a transition from a spin-dependent tensor force to a predominantly spin-independent scalar force. These results demonstrate the usefulness of using such measurements to study the nuclear interaction at short distances and also support the use of point-like nucleon models with two- and three-body effective interactions to describe nuclear systems up to densities several times higher than the central density of the nucleus. High-energy electron scattering that can isolate pairs of nucleons in high-momentum configurations reveals a transition to spin-independent scalar forces at small separation distances, supporting the use of point-like nucleon models to describe dense nuclear systems.

Neutrinos exist in one of three types or ‘flavours’—electron, muon and tau neutrinos—and oscillate from one flavour to another when propagating through space. This phenomena is one of the few that cannot be described using the standard model of particle physics (reviewed in ref. 1), and so its experimental study can provide new insight into the nature of our Universe (reviewed in ref. 2). Neutrinos oscillate as a function of their propagation distance (L) divided by their energy (E). Therefore, experiments extract oscillation parameters by measuring their energy distribution at different locations. As accelerator-based oscillation experiments cannot directly measure E, the interpretation of these experiments relies heavily on phenomenological models of neutrino–nucleus interactions to infer E. Here we exploit the similarity of electron–nucleus and neutrino–nucleus interactions, and use electron scattering data with known beam energies to test energy reconstruction methods and interaction models. We find that even in simple interactions where no pions are detected, only a small fraction of events reconstruct to the correct incident energy. More importantly, widely used interaction models reproduce the reconstructed energy distribution only qualitatively and the quality of the reproduction varies strongly with beam energy. Finally, this shows both the need and the pathway to improve current models to meet the requirements of next-generation, high-precision experiments such as Hyper-Kamiokande (Japan)3 and DUNE (USA)4.

The double-spin-polarization observable $${\\mathbb {E}}$$ E for $$\\vec {\\gamma }\\vec {p}\\rightarrow p\\pi ^0$$ γ → p → → p π 0 has been measured with the CEBAF Large Acceptance Spectrometer (CLAS) at photon beam energies $$E_\\gamma $$ E γ from 0.367 to $$2.173~\\textrm{GeV}$$ 2.173 GeV (corresponding to center-of-mass energies from 1.240 to $$2.200~\\textrm{GeV}$$ 2.200 GeV ) for pion center-of-mass angles, $$\\cos \\theta _{\\pi ^0}^{c.m.}$$ cos θ π 0 c . m . , between $$-$$ - 0.86 and 0.82. These new CLAS measurements cover a broader energy range and have smaller uncertainties compared to previous CBELSA data and provide an important independent check on systematics. These measurements are compared to predictions as well as new global fits from The George Washington University, Mainz, and Bonn-Gatchina groups. Their inclusion in multipole analyses will allow us to refine our understanding of the single-pion production contribution to the Gerasimov-Drell-Hearn sum rule and improve the determination of resonance properties, which will be presented in a future publication.

The double-spin-polarization observable ${\\mathbb {E}}$ for $\\vec {\\gamma }\\vec {p} \\rightarrow p \\pi ^0$ has been measured with the CEBAF Large Acceptance Spectrometer (CLAS) at photon beam energies $E_γ$ from 0.367 to $\\mathrm{2.173}$ $\\mathrm{GeV}$ (corresponding to center-of-mass energies from 1.240 to $\\mathrm{2.200}$ $\\mathrm{GeV}$) for pion center-of-mass angles, $\\mathrm{cosθ}_{π^0}^{c.m.}$, between — 0.86 and 0.82. These new CLAS measurements cover a broader energy range and have smaller uncertainties compared to previous CBELSA data and provide an important independent check on systematics. These measurements are compared to predictions as well as new global fits from The George Washington University, Mainz, and Bonn-Gatchina groups. Their inclusion in multipole analyses will allow us to refine our understanding of the single-pion production contribution to the Gerasimov-Drell-Hearn sum rule and improve the determination of resonance properties, which will be presented in a future publication.

Various purine β-L-2′,3′-dideoxynucleoside analogues with both sugar and base modifications including β-L-ddG, β-L-ddl, β-L-ddA, 2′-azido-β-L-araddA, 2′-amino-β-L-araddA, 2′,5′-anhydro-β-L-araddA, 2′-azido-β-L-ddA, 2′-amino-β-L-ddA, 2′-fluoro-β-L-ddA, 3′-azido-β-L-ddA, 3′-amino-β-L-ddA, 3′-fluoro-β-L-ddA, 2,6-diamino-β-L-2′,3′-dideoxyfuranosylpurine, 6-cyclopropylamino-β-L-ddA, 2′-azido-6-N-triphenylphosphine-β-L-araddA, 2-amino-6-methylamino-β-L-2′,3′-dideoxyfuranosylpurine, 2-amino-6-cyclopropylamino-β-L-2′,3′-dideoxyfuranosylpurine, 2-amino-6-cyclopentylamino-β-L-2′,3′-dideoxyfuranosylpurine, 2′,3′-didehydro-β-L-ddA and 2′,3′-didehydro-6-N-triphenyl phosphine-β-L-ddA were synthesized and evaluated as potential inhibitors of hepatitis B virus (HBV) replication in HBV DNA-transfected human hepatoblastoma-derived Hep-G2 cells (2.2.15 cells). β-L-ddA, 2′-azido-β-L-ddA, 3′-azido-β-L-ddA, 2″,3′-didehydro-β-L-ddA (β-L-D4A) and a modified base of β-L-D4A, inhibited HBV replication in vitro. β-L-D4A was the more potent and selective antiHBV agent with a 50% effective concentration value of 0.1 μM and a selectivity index of 1800. On the basis of this finding, studies are in progress to synthesize new purine derivatives with the β-L unnatural configuration which hopefully will lead to identifying additional potent and highly selective anti-HBV agents.

The double-spin-polarization observable $\\mathbb{E}$ for $\\vec{\\gamma}\\vec{p}\\to p\\pi^0$ has been measured with the CEBAF Large Acceptance Spectrometer (CLAS) at photon beam energies $E_\\gamma$ from 0.367 to $2.173~\\mathrm{GeV}$ (corresponding to center-of-mass energies from 1.240 to $2.200~\\mathrm{GeV}$) for pion center-of-mass angles, $\\cos\\theta_{\\pi^0}^{c.m.}$, between -0.86 and 0.82. These new CLAS measurements cover a broader energy range and have smaller uncertainties compared to previous CBELSA data and provide an important independent check on systematics. These measurements are compared to predictions as well as new global fits from The George Washington University, Mainz, and Bonn-Gatchina groups. Their inclusion in multipole analyses will refine our understanding of the single-pion production contribution to the Gerasimov-Drell-Hearn sum rule and improve the determination of resonance properties.

Tiles of a hierarchical tiling system are coloured with given colours. The resulting system implements colour symmetries and prescribed frequencies and is itself a hierarchical system whose prototile types admit an elegant description. The frequencies of occurrence of colours is interpreted using the unique trace on the C*-algebra of the given tiling system and the trace on the C*-algebra of the coloured tiling system.

The double-spin-polarization observable E for γ → p → → p π 0 has been measured with the CEBAF Large Acceptance Spectrometer (CLAS) at photon beam energies E γ from 0.367 to 2.173 GeV (corresponding to center-of-mass energies from 1.240 to 2.200 GeV ) for pion center-of-mass angles, cos θ π 0 c . m . , between - 0.86 and 0.82. These new CLAS measurements cover a broader energy range and have smaller uncertainties compared to previous CBELSA data and provide an important independent check on systematics. These measurements are compared to predictions as well as new global fits from The George Washington University, Mainz, and Bonn-Gatchina groups. Their inclusion in multipole analyses will allow us to refine our understanding of the single-pion production contribution to the Gerasimov-Drell-Hearn sum rule and improve the determination of resonance properties, which will be presented in a future publication.