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Nuclear Theory·nucl-th

Monday·January 31, 2022

5 papers—2 primary·3 cross-listed

All5Primary2Cross-lists3
  1. 01

    [Submitted on 28 Jan 2022]

    New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics

    Takayuki Myo · Mengjiao Lyu · Hiroshi Toki · Hisashi Horiuchi · Qing Zhao · Masahiro Isaka · Hiroki Takemoto · Niu Wan

    We propose a new many-body method based on the correlation functions, in which the multiple products of the correlation functions are expanded into the many-body diagrams using the cluster expansion method and every diagram is independently optimized in the total-energy variation. We apply this idea to the tensor-optimized antisymmetrized molecular dynamics (TOAMD) using the bare nucleon-nucleon interaction and show the results of the -shell nuclei within the triple products of the correlation functions of tensor and central-types. We evaluate the effect of the independent optimization of the many-body diagrams on the solutions. It is found that the triple products provides the sizable effect in the present scheme, which results in the good reproduction of the total energy and the Hamiltonian components of nuclei with respect to the few-body calculations.

    Comments:
    12 pages, 13 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2201.11877 [pdf]
    PRC(2022)·4 citations
  2. 02

    [Submitted on 28 Jan 2022]

    Unified nuclear matter EOSs constrained by the in-medium balance in density-dependent covariant density functionals

    Cheng-Jun Xia · Bao Yuan Sun · Toshiki Maruyama · Wen-Hui Long · Ang Li

    Considering the effects of charge screening, we propose a new numerical recipe within the framework of Thomas-Fermi approximation, where the properties of nuclear matter throughout a vast density range can be obtained self-consistently. Assuming spherical and cylindrical approximations for the Wigner-Seitz cell, typical nuclear matter structures (droplet, rod, slab, tube, bubble, and uniform) are observed. We then investigate the EOSs and microscopic structures of nuclear matter with both fixed proton fractions and -equilibration, where two covariant density functionals DD-LZ1 and DD-ME2 are adopted. Despite the smaller slope of symmetry energy obtained with the functional DD-LZ1, the curvature parameter is much larger than that of DD-ME2, which is attributed to the peculiar density-dependent behavior of meson-nucleon couplings guided by the restoration of pseudo-spin symmetry around the Fermi levels in finite nuclei. Consequently, different mass-radius relations of neutron stars are predicted by the two functionals. Different microscopic structures of nonuniform nuclear matter are obtained as well, which are expected to affect various physical processes in neutron star properties and evolutions.

    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2201.12053 [pdf]
    PRC(2022)·25 citations
  3. 03

    [Submitted on 28 Jan 2022] (cross-list from hep-th)

    Euclidean thermal correlation functions in local QFT

    Peter Lowdon🇩🇪

    In this work we outline the general analytic characteristics satisfied by scalar correlation functions at finite temperature in local quantum field theory. We demonstrate that the locality of the fields in particular imposes significant constraints on the spectral structure of the theory, and that this enables the non-perturbative effects experienced by thermal particle states to be directly calculated from Euclidean correlation functions, avoiding the inverse problem.

    Comments:
    10 pages; v2: additional references and discussion added, matches published version
    Subjects:
    High Energy Physics — Theory (hep-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2201.12180 [pdf]
    PRD(2022)·13 citations
  4. 04

    [Submitted on 28 Jan 2022] (cross-list from hep-ph)

    New tool for kinematic regime estimation in semi-inclusive deep-inelastic scattering

    M. Boglione🇮🇹 · M. Diefenthaler🇺🇸 · S. Dolan🇺🇸 · L. Gamberg🇺🇸 · W. Melnitchouk🇺🇸 · D. Pitonyak🇺🇸 · A. Prokudin🇺🇸 · N. Sato🇺🇸 · Z. Scalyer🇺🇸

    We introduce a new phenomenological tool based on momentum region indicators to guide the analysis and interpretation of semi-inclusive deep-inelastic scattering measurements. The new tool, referred to as "affinity", is devised to help visualize and quantify the proximity of any experimental kinematic bin to a particular hadron production region, such as that associated with transverse momentum dependent factorization. We apply the affinity estimator to existing HERMES and COMPASS data and expected data from Jefferson Lab and the future Electron-Ion Collider. We also provide an interactive notebook based on Machine Learning for fast evaluation of affinity.

    Comments:
    31 pages, 17 plots
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    2201.12197 [pdf]
    JHEP(2022)·16 citations
  5. 05

    [Submitted on 28 Jan 2022] (cross-list from gr-qc)

    Conservative finite volume scheme for first-order viscous relativistic hydrodynamics

    Alex Pandya · Elias R. Most · Frans Pretorius

    We present the first conservative finite volume numerical scheme for the causal, stable relativistic Navier-Stokes equations developed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK). BDNK theory has arisen very recently as a promising means of incorporating entropy-generating effects (viscosity, heat conduction) into relativistic fluid models, appearing as a possible alternative to the so-called Müller-Israel-Stewart (MIS) theory successfully used to model quark-gluon plasma. The major difference between the two lies in the structure of the system of PDEs: BDNK theory only has a set of conservation laws, whereas MIS also includes a set of evolution equations for its dissipative degrees of freedom. The simpler structure of the BDNK PDEs in this respect allows for rigorous proofs of stability, causality, and hyperbolicity in full generality which have as yet been impossible for MIS. To capitalize on these advantages, we present the first fully conservative multi-dimensional fluid solver for the BDNK equations suitable for physical applications. The scheme includes a flux-conservative discretization, non-oscillatory reconstruction, and a central-upwind numerical flux, and is designed to smoothly transition to a high-resolution shock-capturing perfect fluid solver in the inviscid limit. We assess the robustness of our new method in a series of flat-spacetime tests for a conformal fluid, and provide a detailed comparison with previous approaches of Pandya & Pretorius (2021).

    Comments:
    24 pages, 9 figures; updated to match published version
    Subjects:
    General Relativity and Quantum Cosmology (gr-qc); High Energy Astrophysical Phenomena (astro-ph.HE); Nuclear Theory (nucl-th); Computational Physics (physics.comp-ph)
    arXiv:
    2201.12317 [pdf]
    PRD(2022)·45 citations

Affiliations

first authorsco-authorsvia INSPIRE