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Nuclear Theory·nucl-th

Tuesday·February 27, 2024

13 papers—8 primary·5 cross-listed

All13Primary8Cross-lists5
  1. 09

    Toward extracting the scattering phase shift from integrated correlation functions II: a relativistic lattice field theory model

    Peng Guo🇺🇸

    In present work, a relativistic relation that connects the difference of interacting and non-interacting integrated two-particle correlation functions in finite volume to infinite volume scattering phase shift through an integral is derived. We show that the difference of integrated finite volume correlation functions converge rapidly to its infinite volume limit as the size of periodic box is increased. The fast convergence of our proposed formalism is illustrated by analytic solutions of a contact interaction model, the perturbation theory calculation, and also Monte Carlo simulation of a complex lattice field theory model.

    ↳ hep-lathep-phnucl-thPRD(2024)·8 citations
  2. 10

    Four-gluon vertex in collinear kinematics

    A. C. Aguilar🇧🇷 · M. N. Ferreira🇪🇸 · J. Papavassiliou🇪🇸 · L. R. Santos🇧🇷

    To date, the four-gluon vertex is the least explored component of the QCD Lagrangian, mainly due to the vast proliferation of Lorentz and color structures required for its description. In this work we present a nonperturbative study of this vertex, based on the one-loop dressed Schwinger-Dyson equation obtained from the 4PI effective action. A vast simplification is brought about by resorting to ``collinear'' kinematics, where all momenta are parallel to each other, and by appealing to the charge conjugation symmetry in order to eliminate certain color structures. Out of the fifteen form factors that comprise the transversely-projected version of this vertex, two are singled out and studied in detail; the one associated with the classical tensorial structure is moderately suppressed in the infrared regime, while the other diverges logarithmically at the origin. Quite interestingly, both form factors display the property known as ``planar degeneracy'' at a rather high level of accuracy. With these results we construct an effective charge that quantifies the strength of the four-gluon interaction, and compare it with other vertex-derived charges from the gauge sector of QCD.

    ↳ hep-phhep-lathep-thnucl-thEPJC(2024)·13 citations
  3. 11

    Cumulant Green's function methods for molecules

    Pierre-François Loos · Antoine Marie · Abdallah Ammar

    The cumulant expansion of the Green's function is a computationally efficient beyond- approach renowned for its significant enhancement of satellite features in materials. In contrast to the ubiquitous approximation of many-body perturbation theory, \textit{ab initio} cumulant expansions performed on top of (+C) have demonstrated the capability to handle multi-particle processes by incorporating higher-order correlation effects or vertex corrections, yielding better agreements between experiment and theory for satellite structures. While widely employed in condensed matter physics, very few applications of +C have been published on molecular systems. Here, we assess the performance of this scheme on a series of 10-electron molecular systems (\ce{Ne}, \ce{HF}, \ce{H2O}, \ce{NH3}, and \ce{CH4}) where full configuration interaction estimates of the outer-valence quasiparticle and satellite energies are available.

    ↳ physics.chem-phcond-mat.mtrl-scicond-mat.str-elnucl-th0 citations
  4. 12

    Exact relations between the conductivities and their connection to the chemical composition of QCD matter

    Jan A. Fotakis🇩🇪 · Jakob E. Lohr🇩🇪 · Carsten Greiner🇩🇪

    We present exact relations between the diffusion coefficients or conductivities, , of strongly-interacting matter. We show that once the diagonal entries are known in two different charge representations, the off-diagonal coefficients are functions of the diagonal entries once isospin symmetry applies. As an important example, we infer the conductivities on the basis of available calculations from lattice quantum chromodynamics (LQCD) and argue that these computations suffer under the approximations made to achieve them. Further, we argue that the representation of the conductivities w.r.t. to the conserved quark-flavors may deliver more insight into the chemical composition of strongly-interacting matter.

    ↳ hep-phnucl-thPRC(2024)·3 citations
  5. 13

    Medium-induced photon bremsstrahlung in neutrino-nucleus, antineutrino-nucleus, and electron-nucleus scattering from multiple QED interactions

    Oleksandr Tomalak🇺🇸 · Ivan Vitev🇺🇸

    Interactions of charged leptons with nuclei and the naive tree-level kinematics of these processes are affected by radiation of photons induced by the QED nuclear medium. We evaluate cross-section modifications at leading orders of the number of correlated interactions inside the nucleus, known as the opacity expansion. We derive results for soft and collinear types of the bremsstrahlung at the first three orders in opacity and generalize them to higher orders. We present the leading in opacity energy spectra of soft and collinear photons and radiative energy loss inside the nucleus for experiments with lepton kinematics in the GeV energy range. At leading power of the Glauber soft-collinear effective field theory, the soft radiation is further resummed to all orders both in opacity and in the electromagnetic coupling constant. We find that the soft and collinear medium-induced radiation is vacuumlike, and additional corrections are power suppressed. Despite the negligible modification to the induced photon spectra, the nuclear medium-induced radiation sizably affects the broadening of charged leptons in the direction orthogonal to their propagation.

    ↳ hep-phhep-exnucl-exnucl-thPRD(2024)·8 citations

Affiliations

first authorsco-authorsvia INSPIRE