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Nuclear Theory·nucl-th

Tuesday·March 21, 2023

14 papers—9 primary·5 cross-listed

All14Primary9Cross-lists5
  1. 10

    [Submitted on 19 Mar 2023] (cross-list from hep-ph)

    QCD Phase Diagrams via QHD and MIT-Based Models

    Carline Biesdorf🇧🇷 · Debora P. Menezes🇧🇷 · Luiz L. Lopes🇧🇷

    In this paper the QCD phase diagram is obtained by the crossing of two effective models: the MIT bag based models are used to describe quark matter and QHD type models to describe hadronic matter, being the use of the former something new to this kind of approach and the latter used with improved parameterizations as compared with previous calculations. We use the Gibbs' conditions to establish the crossing points of the pressure in function of the chemical potential obtained in both phases. We first analyze two-flavour symmetric matter constrained to both the freeze-out and the liquid-gas phase transition at the hadronic phase. Later we analyse the results for -stable and charge neutral stellar matter and compare two different prescriptions: one that assumes flavour conservation, so that the quark phase is completely determined from the hadronic phase, a prescription never applied to finite temperatures before, and the other based on the Maxwell construction, where the quark phase is also -stable. At the end, we compute the latent heat to find a signature of the critical end point.

    Comments:
    15 pages, 7 figures
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2303.10734 [pdf]
    Braz.J.Phys.(2023)·7 citations
  2. 11

    [Submitted on 20 Mar 2023] (cross-list from hep-ph)

    Reconstruction of baryon number distributions

    Chuang Huang🇨🇳 · Yang-yang Tan🇨🇳 · Rui Wen🇨🇳 · Shi Yin🇨🇳 · Wei-jie Fu🇨🇳

    The maximum entropy method (MEM) and the Gaussian process (GP) regression, which are both well-suited for the treatment of inverse problems, are used to reconstruct net-baryon number distributions based on a finite number of cumulants of the distribution. Baryon number distributions across the chiral phase transition are reconstructed. It is found that with the increase of the order of cumulants, distribution in the long tails, i.e., far away from the central number, would become more and more important. We also reconstruct the distribution function based on the experimentally measured cumulants at the collision energy GeV. Given the sizable error of the fourth-order cumulant measured in experiments, the calculation of MEM shows that with the increasing fourth-order cumulant, there is another peak in the distribution function developed in the region of large baryon number. This unnaturalness observed in the reconstructed distribution function might in turn be used to constrain the cumulants measured in experiments.

    Comments:
    11 pages, 8 figures, 2 tables
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2303.10869 [pdf]
    CPC(2023)·4 citations
  3. 12

    [Submitted on 20 Mar 2023] (cross-list from hep-th)

    Taming Dyson-Schwinger equations with null states

    Wenliang Li🇨🇳

    In quantum field theory, the Dyson-Schwinger equations are an infinite set of coupled equations relating -point Green's functions in a self-consistent manner. They have found important applications in non-perturbative studies, ranging from quantum chromodynamics and hadron physics to strongly correlated electron systems. However, they are notoriously formidable to solve. One of the main problems is that a finite truncation of the infinite system is underdetermined. Recently, Bender et al. [Phys. Rev. Lett. 130, 101602 (2023)] proposed to make use of the large- asymptotic behaviors and successfully obtained accurate results in spacetime. At higher , it seems more difficult to deduce the large- behaviors. In this paper, we propose another avenue in light of the null bootstrap. The underdetermined system is solved by imposing the null state condition. This approach can be extended to more readily. As concrete examples, we show that the cases of and indeed converge to the exact results for several Hermitian and non-Hermitian theories of the type, including the complex solutions.

    Comments:
    v3: 5 pages, 2 figures, typos corrected, references added, Introduction extended
    Subjects:
    High Energy Physics — Theory (hep-th); High Energy Physics — Phenomenology (hep-ph); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
    arXiv:
    2303.10978 [pdf]
    PRL(2023)·16 citations
  4. 13

    [Submitted on 20 Mar 2023] (cross-list from astro-ph.HE)

    Revealing the strength of three-nucleon interactions with the Einstein Telescope

    Henrik Rose🇩🇪 · Nina Kunert🇩🇪 · Tim Dietrich🇩🇪 · Peter T. H. Pang🇳🇱 · Rory Smith🇺🇸 · Chris Van Den Broeck🇳🇱 · Stefano Gandolfi🇺🇸 · Ingo Tews🇺🇸

    Three-nucleon forces are crucial for the accurate description of nuclear systems, including dense matter probed in neutron stars. We explore nuclear Hamiltonians that reproduce two-nucleon scattering data and properties of light nuclei, but differ in the three-nucleon interactions among neutrons. While no significantly improved constraints can be obtained from current astrophysical data, we show that observations of neutron star mergers by next-generation detectors like the proposed Einstein Telescope could provide strong evidence to distinguish between these Hamiltonians.

    Subjects:
    High Energy Astrophysical Phenomena (astro-ph.HE); General Relativity and Quantum Cosmology (gr-qc); Nuclear Theory (nucl-th)
    arXiv:
    2303.11201 [pdf]
    PRC(2023)·22 citations
  5. 14

    [Submitted on 20 Mar 2023] (cross-list from astro-ph.SR)

    On excess entropy and latent heat in crystallizing white dwarfs

    D. A. Baiko

    Based on the linear mixing approach, we calculate the latent heat for crystallizing fully-ionized C/O and O/Ne mixtures in white dwarf (WD) cores for two different parametrizations of the corrections to the linear-mixing energies and with account of ion quantum effects. We report noticeable composition-dependent deviations of the excess entropy in both directions from the standard value of 0.77 per ion. Within the same framework, we evaluate the excess entropy and released or absorbed heat accompanying the exsolution process in solidified WD layers. The inclusion of this effect is shown to be important for reliable interpretation of WD cooling data. We also analyze the latent heat of crystallizing eutectic C/Ne mixture, where we find a qualitative dependence of both the phase diagram and the latent heat behaviour on ion quantum effects. This may be important for the model with Ne distillation in cooling C/O/Ne WD proposed as a solution for the ultramassive WD multi-Gyr cooling anomaly. Astrophysical implications of our findings for crystallizing WD are discussed.

    Comments:
    5 pages, 2 figures. Letter to MNRAS, in press
    Subjects:
    Solar and Stellar Astrophysics (astro-ph.SR); High Energy Astrophysical Phenomena (astro-ph.HE); Nuclear Theory (nucl-th)
    arXiv:
    2303.11311 [pdf]
    MNRAS(2023)·0 citations

Affiliations

first authorsco-authorsvia INSPIRE