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        "rendered": "<div data-elementor-type=\"wp-post\" data-elementor-id=\"1248\" class=\"elementor elementor-1248\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-28cfd2ce elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"28cfd2ce\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-456d649b\" data-id=\"456d649b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-aa081ee elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"aa081ee\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;sticky&quot;:&quot;top&quot;,&quot;sticky_on&quot;:[&quot;desktop&quot;],&quot;sticky_parent&quot;:&quot;yes&quot;,&quot;sticky_offset&quot;:0,&quot;sticky_effects_offset&quot;:0,&quot;sticky_anchor_link_offset&quot;:0}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-f2b34b2\" data-id=\"f2b34b2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-176c981 elementor-button-info elementor-align-left elementor-widget elementor-widget-button\" data-id=\"176c981\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;none&quot;}\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-size-lg\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">1<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-78e111d\" data-id=\"78e111d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-69ec01dc elementor-widget elementor-widget-text-editor\" data-id=\"69ec01dc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Working Area<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-33c42500 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"33c42500\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-3497a69 elementor-widget elementor-widget-spacer\" data-id=\"3497a69\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-43f524f elementor-widget elementor-widget-heading\" data-id=\"43f524f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">What Working Area 1 does<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dfb09a1 elementor-widget elementor-widget-text-editor\" data-id=\"dfb09a1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>The interior of a neutron star is expected to exceed several saturation densities. Most of the relevant densities are not accessible to laboratory experiments, while theoretically they are challenging to describe consistently. It is simply not yet known what are the relevant degrees of freedom to describe properly the interior of a neutron star and there are, today, several open scenarios. To address this challenge, PIs of Work Area 1 propose new ways to constrain the properties of dense nuclear matter on both the theory and experiment sides.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8c94d3a elementor-widget elementor-widget-image\" data-id=\"8c94d3a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"768\" height=\"498\" src=\"https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/NS_CutView-768x498-1.webp\" class=\"attachment-full size-full wp-image-11386\" alt=\"\" srcset=\"https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/NS_CutView-768x498-1.webp 768w, https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/NS_CutView-768x498-1-300x195.webp 300w, https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/NS_CutView-768x498-1-18x12.webp 18w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Reference of the figure: H. Heiselberg, arXiv:astro-ph\/0201465v2 16 Feb 2022<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-22194e6 elementor-widget elementor-widget-text-editor\" data-id=\"22194e6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>On one hand, we will extend our current theoretical description of the properties of nuclear matter in several directions: isospin asymmetry, finite temperature, phase transitions towards a quark-gluon plasma, strangeness as a possible degree of freedom and dynamical properties at the cross-road of the two Collaborative Research Centers of our universities CRC 1245 and CRC-TR 211. Short-range correlations in neutron-rich nuclei all be investigated as a possible new method to probe high densities.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e7a8dd1 elementor-widget elementor-widget-image\" data-id=\"e7a8dd1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"768\" height=\"524\" src=\"https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/FRG_plot-768x524-1.webp\" class=\"attachment-full size-full wp-image-11387\" alt=\"\" srcset=\"https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/FRG_plot-768x524-1.webp 768w, https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/FRG_plot-768x524-1-300x205.webp 300w, https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/FRG_plot-768x524-1-18x12.webp 18w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Reference of the figure: M. Leonhardt et al., Physical Review Letters 125, 142502 (2020) @(2021) by the American Physical Society<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-005b6e6 elementor-widget elementor-widget-text-editor\" data-id=\"005b6e6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>A recent achievement is the description of the equation of state (EOS) of symmetric nuclear matter based on quantum chromodynamics (QCD) with asymptotic behaviour consistent with chiral effective field theory (ChEFT) at low density and perturbative QCD at high densities, using the Functional Renormalization Group (FRG) method. This work predicts a maximum of the speed of sound at about 10 saturation densities. Such a maximum could be connected to the existence of phase transition in the interior of neutron stars. Although in active debate in the scientific community the occurrence of a QGP in the core of neutron stars could be considered more probable than exceptional.<\/p><p>Not only a transition from nucleonic to quark matter but also the appearance of strange quarks and hyperons inside neutron stars is expected to occur at large densities. Some of the equations of state shown here do contain strangeness as a degree of freedom, and lead to a different behaviour. This is also a point of debate today. The in-medium lambda-sigma conversion is expected to be of key importance, while very little is known experimental to constrain such a scenario at intermediate densities.<\/p><p>In the work area 1 of ELEMENTS, we will further develop the ChEFT and FRG frameworks both rooted into QCD and study the appearance of QGP, strangeness and pion condensates at large densities. Since the appearance of strangeness lack constrains on the lambda-nucleon interactions, we propose a proof of concept experiment to study them in hypernuclei. These theoretical inputs, together with astrophysical observations, will lead to a new generation of EOS.<\/p><p>Beyond the EOS, we will also study the dynamical properties of QCD matter with different methods, namely perturbative QCD and the FRG framework. The FRG allows to compute real-time quantities which will give us access to transport coefficients. The calculated quantities, viscosity and neutrino emissivity, will be benchmarked to the results from heavy-ion collision measurements performed in work area 2, and constrain the dynamics and cooling of NS systems.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8f2e003 elementor-widget elementor-widget-image\" data-id=\"8f2e003\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"1024\" height=\"618\" src=\"https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/PDF_StellarRadii-1024x618-1.webp\" class=\"attachment-full size-full wp-image-11388\" alt=\"\" srcset=\"https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/PDF_StellarRadii-1024x618-1.webp 1024w, https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/PDF_StellarRadii-1024x618-1-300x181.webp 300w, https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/PDF_StellarRadii-1024x618-1-768x464.webp 768w, https:\/\/elements.science\/wp-content\/uploads\/2023\/07\/PDF_StellarRadii-1024x618-1-18x12.webp 18w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Reference of the figure: E. R. Most et al., Physical Review Letters 120, 261103 (2018) @(2021) by the American Physical Society<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ef1d2c2 elementor-widget elementor-widget-text-editor\" data-id=\"ef1d2c2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Probability distribution functions (PDF) showing the relation between the radius (in km) and mass of neutron stars (in solar masses Msun) computed with different EOS families contained at low density with chiral EFT equations of state. This work carried by PIs of ELEMENTS illustrates the very significant impact of EOS on the\u00a0description\u00a0of neutron stars. On the left without phase transition, on the right with a phase transition, constrained by different astrophysical observations: the tidal deformability (<span id=\"MathJax-Element-1-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"mstyle\"><span id=\"MathJax-Span-4\" class=\"mrow\"><span id=\"MathJax-Span-5\" class=\"texatom\"><span id=\"MathJax-Span-6\" class=\"mrow\"><span id=\"MathJax-Span-7\" class=\"munderover\"><span id=\"MathJax-Span-8\" class=\"mi\">\u039b<\/span><span id=\"MathJax-Span-9\" class=\"mo\">\u02dc<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)\u00a0 and the maximum mass observed (M<sub>TOV<\/sub>).<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-7f7e53c9 sticky-column\" data-id=\"7f7e53c9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-263a838 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"263a838\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;sticky&quot;:&quot;top&quot;,&quot;sticky_on&quot;:[&quot;desktop&quot;],&quot;sticky_offset&quot;:15,&quot;sticky_parent&quot;:&quot;yes&quot;,&quot;sticky_effects_offset&quot;:0,&quot;sticky_anchor_link_offset&quot;:0}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-309210c\" data-id=\"309210c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4cfec70 elementor-widget elementor-widget-spacer\" data-id=\"4cfec70\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-52636cc elementor-widget elementor-widget-text-editor\" data-id=\"52636cc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>From microscopic dynamics to the EOS of dense nuclear matter<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-584395d elementor-widget elementor-widget-text-editor\" data-id=\"584395d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div>In this Working Area ELEMENTS will achieve a comprehensive understanding of the nuclear EOS relevant to NSs based on QCD calculations. This includes constraints from ab-initio calculations at nuclear densities and beyond (Braun, Schwenk), including degrees of freedom beyond nucleons and pions (Elfner), constraints from QCD (Moore, Philipsen, Rischke) and modelling of QCD at intermediate densities, as well as constraints from short-range correlations in nuclear experiments (Aumann, Obertelli) and HICs (Galatyuk, Stroth). The novel understanding of the properties of the EOS will complement the astronomical and GW measurements of NS radii (Rezzolla, Schwenk).<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bf64581 elementor-widget elementor-widget-text-editor\" data-id=\"bf64581\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div><p>Working Area 1 Representative: <a class=\"ek-link\" href=\"https:\/\/elements.science\/principal-investigators\/alexandre-obertelli\/\" rel=\"noopener\">Alexandre Obertelli<\/a><\/p><p>Working Area 1 Deputy Representative: <a href=\"https:\/\/elements.science\/team\/principal-investigator\/owe-philipsen\/\">Owe Philipsen<\/a><\/p><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-432af3f elementor-widget elementor-widget-text-editor\" data-id=\"432af3f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div><p><em>Principal Investigators: T. Aumann, J. Braun, H. Elfner, T. Galatyuk, G. Moore, A. Obertelli, O. Philipsen, L. Rezzolla, D. Rischke, A. Schwenk, J. Stroth<\/em><\/p><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>",
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