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Nuclear Theory·nucl-th

Wednesday·February 5, 2025

4 papers—2 primary·2 cross-listed

All4Primary2Cross-lists2
  1. 03

    [Submitted on 4 Feb 2025] (cross-list from physics.chem-ph)

    Excited States of the Uniform Electron Gas

    Pierre-François Loos

    The uniform electron gas (UEG) is a cornerstone of density-functional theory (DFT) and the foundation of the local-density approximation (LDA), one of the most successful approximations in DFT. In this work, we extend the concept of UEG by introducing excited-state UEGs, systems characterized by a gap at the Fermi surface created by the excitation of electrons near the Fermi level. We report closed-form expressions of the reduced kinetic and exchange energies of these excited-state UEGs as functions of the density and the gap. Additionally, we derive the leading term of the correlation energy in the high-density limit. By incorporating an additional variable representing the degree of excitation into the UEG paradigm, the present work introduces a new framework for constructing local and semi-local state-specific functionals for excited states.

    Comments:
    7 pages, 4 figures
    Subjects:
    physics.chem-ph (physics.chem-ph); cond-mat.mtrl-sci (cond-mat.mtrl-sci); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th)
    arXiv:
    2502.02378 [pdf]
    J.Chem.Phys.(2025)·0 citations
  2. 04

    [Submitted on 4 Feb 2025] (cross-list from hep-ph)

    Neutrino Induced Charged Current Coherent Pion Production for Constraining the Muon Neutrino Flux at DUNE

    Mun Jung Jung🇺🇸 · Vishvas Pandey🇺🇸 · Gray Putnam🇺🇸 · David W. Schmitz🇺🇸

    We study neutrino induced charge current coherent pion production () as a tool for constraining the neutrino flux at the Deep Underground Neutrino Experiment (DUNE). The neutrino energy and flavor in the process can be directly reconstructed from the outgoing particles, making it especially useful to specifically constrain the muon neutrino component of the total flux. The cross section of this process can be obtained using the Adler relation with the -Ar elastic scattering cross section, taken either from external data or, as we explore, from a simultaneous measurement in the DUNE near detector. We develop a procedure that leverages events to fit for the neutrino flux while simultaneously accounting for relevant effects in the cross section. We project that this method has the statistical power to constrain the uncertainty on the normalization of the flux at its peak to a few percent. This study demonstrates the potential utility of a flux constraint, though further work will be needed to determine the range of validity and precision of the Adler relation upon which it relies, as well as to measure the -Ar elastic scattering cross section to the requisite precision. We discuss the experimental and phenomenological developments necessary to unlock the process as a "standard candle'' for neutrino experiments.

    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
    arXiv:
    2502.02576 [pdf]
    PRD(2026)·2 citations

Affiliations

first authorsco-authorsvia INSPIRE