Physics Letters B最新文献

{"title":"Holographic study of QQQ potential in a magnetic field background","authors":"Jing Zhou ,&nbsp;Xiaoling Leng","doi":"10.1016/j.physletb.2025.139860","DOIUrl":"10.1016/j.physletb.2025.139860","url":null,"abstract":"<div><div>We study triply heavy baryons in the presence of a magnetic field background using the AdS/CFT correspondence. The force balance equation, derived from the total action of triply heavy baryons, serves as the basis for calculating the separation distance in both A and B configurations. It is found that with increasing magnetic field strength, the maximum separation distance continuously decreases. This suggests that stronger magnetic fields facilitate the dissolution of triply heavy baryons. We also find that the potential energy decreases with an increasing magnetic field, which implies that the potential energy is suppressed by the magnetic field. Besides, a comparison of potential energies in A and B configurations reveals that triply heavy baryons in the B configuration are more stable.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"869 ","pages":"Article 139860"},"PeriodicalIF":4.5,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Unfolded formulation of 4d Yang-Mills theory","authors":"Nikita Misuna","doi":"10.1016/j.physletb.2025.139882","DOIUrl":"10.1016/j.physletb.2025.139882","url":null,"abstract":"<div><div>In this note, we present a novel formulation of <span><math><mrow><mn>4</mn><mi>d</mi></mrow></math></span> pure Yang-Mills theory within the unfolded framework of Vasiliev higher-spin gravity. This formulation is first-order and exhibits manifest diffeomorphism and gauge invariance. Our approach builds upon a recently proposed unfolding method, previously applied to scalar electrodynamics. Additionally, we discuss the features of various unfolding maps defined by the unfolded equations.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"870 ","pages":"Article 139882"},"PeriodicalIF":4.5,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Scheme-independent determination of the QCD running coupling at all scales from jet observables using the principle of maximum conformality and infinite-order scale setting","authors":"Leonardo Di Giustino ,&nbsp;Stanley J. Brodsky ,&nbsp;Philip G. Ratcliffe ,&nbsp;Sheng-Quan Wang ,&nbsp;Xing-Gang Wu","doi":"10.1016/j.physletb.2025.139884","DOIUrl":"10.1016/j.physletb.2025.139884","url":null,"abstract":"&lt;div&gt;&lt;div&gt;We present a new approach to determining the strong coupling &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;Q&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, over the entire range of validity of perturbative QCD, for scales above &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mstyle&gt;&lt;mi&gt;Λ&lt;/mi&gt;&lt;/mstyle&gt;&lt;mrow&gt;&lt;mi&gt;QCD&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; and up to the Planck scale &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mo&gt;∼&lt;/mo&gt;&lt;mn&gt;1.22&lt;/mn&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;msup&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mn&gt;19&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; GeV, with the highest precision and using the data of a single experiment. In particular, we use the results obtained for the thrust (&lt;span&gt;&lt;math&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;) and &lt;span&gt;&lt;math&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-parameter (&lt;span&gt;&lt;math&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;) distributions in &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/msup&gt;&lt;msup&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; annihilation at a single annihilation energy &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/msqrt&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;M&lt;/mi&gt;&lt;mi&gt;Z&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; (i.e. at the &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mi&gt;Z&lt;/mi&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt; peak). This new method is based on the &lt;em&gt;intrinsic conformality&lt;/em&gt; (iCF) and on the Infinite-Order Scale Setting, using the Principle of Maximum Conformality (i.e. the PMC&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;), which allows a rigorous determination of the renormalization scales for the event-shape variable distributions satisfying all of the requirements of Renormalization Group Invariance, including renormalization-scheme independence and consistency with Abelian theory in the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;/msub&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; limit. This new method is based on the scale-invariance of the iCF, which allows determination of &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;μ&lt;/mi&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/msub&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; at any scale &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mi&gt;μ&lt;/mi&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;, and on the Maximum Likelihood statistical approach. We propose a novel approach to determining the best-fitting range by considering all possible intervals over the entire range of bins available in the perturbative region and selecting that which returns the most-likely-lowest &lt;span&gt;&lt;math&gt;&lt;msubsup&gt;&lt;mi&gt;χ&lt;/mi&gt;&lt;mrow&gt;&lt;mi&gt;min&lt;/mi&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;/math&gt;&lt;/span&gt;. This new method is designed to eliminate the errors that arise due to selection of the bin-interval and that have been neglected in previous analyses. In particular, using data for thrust and &lt;span&gt;&lt;math&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-parameter at the &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mi&gt;Z&lt;/mi&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt; peak from ALEPH, OPAL, DELPHI and L3 experiments, we obtain the average value: &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;M&lt;/mi&gt;&lt;mi&gt;Z&lt;/mi&gt;&lt;/msub&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;msubsup&gt;&lt;mn&gt;1182&lt;/mn&gt;&lt;mrow&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;0.0007&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;0.0","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"869 ","pages":"Article 139884"},"PeriodicalIF":4.5,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Weak cosmic censorship with spinning particles in Kerr-(A)dS spacetimes","authors":"Antonia M. Frassino ,&nbsp;Jorge V. Rocha ,&nbsp;Andrea P. Sanna","doi":"10.1016/j.physletb.2025.139877","DOIUrl":"10.1016/j.physletb.2025.139877","url":null,"abstract":"<div><div>We investigate the weak cosmic censorship conjecture by analyzing the dynamics of spinning timelike particles dropped along the rotational axis of an extremal Kerr-(anti-)de Sitter black hole. This idea was first considered in a seminal paper by Wald and later by Needham but both analyses were restricted to asymptotically flat spacetimes. We generalize these studies, involving spinning particles, to rotating spacetimes with non vanishing cosmological constant. We examine whether the absorption of such particles can overspin the black hole beyond extremality, potentially leading to the formation of a naked singularity. In asymptotically de Sitter spacetime, we find that particles that are captured cannot overspin the black hole. Similar conclusions hold also with anti-de Sitter asymptotics, but the analysis is more subtle, requiring careful consideration of the point particle approximation.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"869 ","pages":"Article 139877"},"PeriodicalIF":4.5,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Thermal and baryon density modifications to the σ-boson propagator","authors":"Alejandro Ayala ,&nbsp;José Jorge Medina-Serna ,&nbsp;Isabel Domínguez ,&nbsp;Ivonne Maldonado ,&nbsp;María Elena Tejeda-Yeomans","doi":"10.1016/j.physletb.2025.139873","DOIUrl":"10.1016/j.physletb.2025.139873","url":null,"abstract":"<div><div>Motivated by the search of the way the vortical motion produced in peripheral heavy-ion collisions is transferred to the spin of hadrons in the baryon-rich zone of the reaction, we compute the <span><math><mi>σ</mi></math></span>-meson propagator at finite temperature and baryon density. This propagator encodes the properties of a medium consisting mainly of nucleons and can be used to model the main interactions between hadrons in the corona. We compute the one-loop <span><math><mi>σ</mi></math></span> self-energy in an approximation that accounts for the large nucleon mass. From the real part of the self-energy, we find the dispersion relation and show that the <span><math><mi>σ</mi></math></span>-mass receives a non-negligible thermal and baryon chemical dependent contribution. From the imaginary part, we also compute the spectral density, which we show to contain a piece coming from the branch cut associated with Landau damping. We also present approximations for the dispersion relation and the residue at the pole in the small- and large-momentum regimes and complement the calculation, providing the sum rules satisfied by the propagator. This study aims to determine one of the elements needed to compute how the vortical motion in the corona region of the reaction is transferred to the spin of <span><math><mstyle><mi>Λ</mi></mstyle></math></span> hyperons that can interact with nucleons by <span><math><mi>σ</mi></math></span>-meson exchange.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"869 ","pages":"Article 139873"},"PeriodicalIF":4.5,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Electron-positron scattering at finite temperature in Podolsky electrodynamics","authors":"D.S. Cabral,&nbsp;L.A.S. Evangelista,&nbsp;L.H.A.R. Ferreira,&nbsp;A.F. Santos","doi":"10.1016/j.physletb.2025.139874","DOIUrl":"10.1016/j.physletb.2025.139874","url":null,"abstract":"<div><div>The electron-positron annihilation process is investigated within the framework of Podolsky’s generalized electrodynamics at finite temperature. In this theory, a higher-derivative term modifies the photonic kinetic sector, introducing a massive mode while preserving gauge invariance. Thermal effects are incorporated using the real-time Thermo Field Dynamics formalism. The total cross section is calculated, and the individual contributions of the Podolsky parameter and thermal effects are analyzed to highlight their influence on the scattering process.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"869 ","pages":"Article 139874"},"PeriodicalIF":4.5,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Curvature corrections to Starobinsky inflation can explain the ACT results","authors":"Andrea Addazi ,&nbsp;Yermek Aldabergenov ,&nbsp;Sergei V. Ketov","doi":"10.1016/j.physletb.2025.139883","DOIUrl":"10.1016/j.physletb.2025.139883","url":null,"abstract":"<div><div>We investigate the impact of curvature corrections to Starobinsky inflation in light of the latest observational results from the Atacama Cosmology Telescope (ACT). While the pure Starobinsky model remains a compelling candidate for cosmic inflation, we explore how the higher-order curvature terms <span><math><msup><mi>R</mi><mn>3</mn></msup></math></span>, <span><math><msup><mi>R</mi><mn>4</mn></msup></math></span> and <span><math><msup><mi>R</mi><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msup></math></span> modify the inflationary predictions. Using the scalar-tensor formulation of <span><math><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>)</mo></mrow></math></span> gravity, we derive the effective scalar potentials and compute the resulting scalar tilt <span><math><msub><mi>n</mi><mi>s</mi></msub></math></span>, its running index <span><math><msub><mi>α</mi><mi>s</mi></msub></math></span> and the tensor-to-scalar ratio <span><math><mi>r</mi></math></span>. We show that those curvature corrections can shift the predictions to align better with the ACT data, thus providing a possible resolution to a minor discrepancy between the standard Starobinsky model and ACT observations. Our findings suggest that the modified Starobinsky models with the higher-order curvature terms offer a viable pathway to reconciling inflationary predictions with precision cosmological measurements. At the same time, measuring or constraining primordial tensor modes can help to discriminate between these corrections.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"869 ","pages":"Article 139883"},"PeriodicalIF":4.5,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Investigating the inclusive D0 photoproduction in ultraperipheral PbPb collisions at the Large Hadron Collider","authors":"Victor P. Gonçalves ,&nbsp;Luana Santana ,&nbsp;Wolfgang Schäfer","doi":"10.1016/j.physletb.2025.139859","DOIUrl":"10.1016/j.physletb.2025.139859","url":null,"abstract":"<div><div>The inclusive <span><math><msup><mi>D</mi><mn>0</mn></msup></math></span> photoproduction in <span><math><mrow><mi>P</mi><mi>b</mi><mi>P</mi><mi>b</mi></mrow></math></span> collisions at the center - of - mass energies of the Large Hadron Collider (LHC) is investigated considering the color dipole <span><math><mi>S</mi></math></span> - matrix approach. The analytical expressions for the differential distributions are derived in the impact parameter and transverse momentum spaces and predictions for the rapidity and transverse momentum distributions are presented considering three distinct models for the unintegrated gluon distribution of the nuclear target. In particular, we compare the predictions derived assuming a linear dynamics, with and without the inclusion of nuclear effects, with those obtained by solving the running coupling Balitsky - Kovchegov equation. A comparison of these predictions with the recent (preliminary) CMS data is also performed. Our results indicate that a detailed analysis of this observable will be very useful to improve our understanding of the strong interaction theory at high energies and in a nuclear medium.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"869 ","pages":"Article 139859"},"PeriodicalIF":4.5,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Imaging the charge distributions of flavor-symmetric and -asymmetric mesons","authors":"Yin-Zhen Xu ,&nbsp;Adnan Bashir ,&nbsp;Khépani Raya ,&nbsp;José Rodríguez-Quintero ,&nbsp;Jorge Segovia","doi":"10.1016/j.physletb.2025.139864","DOIUrl":"10.1016/j.physletb.2025.139864","url":null,"abstract":"<div><div>We investigate the internal structure of a comprehensive set of pseudoscalar and vector mesons, including both flavor-symmetric and flavor-asymmetric systems, by reconstructing their charge distributions from electromagnetic form factors. To achieve this, we employ a Maximum Entropy Method optimized for charge distributions, utilizing previously published form factor data obtained within the Dyson–Schwingers and Bethe–Salpeter equations framework. Furthermore, we calculate the average distance between the valence quark and antiquark that constitute the meson, interpreting it as an estimate for both the meson’s spatial size and the typical range of quark motion. Our results reveal that this distance for the lightest quarkonia is approximately five times larger than that for the heaviest. Moreover, due to spin effects, vector mesons exhibit sizes that are 5–15 % larger than their pseudoscalar counterparts.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"869 ","pages":"Article 139864"},"PeriodicalIF":4.5,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Deceleration parameter as a unifying criterion for FRW cosmological models at critical points","authors":"Amin Salehi","doi":"10.1016/j.physletb.2025.139876","DOIUrl":"10.1016/j.physletb.2025.139876","url":null,"abstract":"<div><div>The critical points of dynamical system equations are key in understanding the time evolution of the relevant model-universe. They provide information which help us to rule out those cosmological models which are not able to correctly describe the evolution of the universe from unstable epochs of its early-time to stable points in the distance future. Having the conventional <span><math><mrow><mfrac><mover><mi>H</mi><mo>˙</mo></mover><msup><mi>H</mi><mn>2</mn></msup></mfrac><mo>=</mo><mi>ϵ</mi><mrow><mo>(</mo><msub><mi>ζ</mi><mn>1</mn></msub><mo>,</mo><msub><mi>ζ</mi><mn>2</mn></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mi>ζ</mi><mi>k</mi></msub><mo>)</mo></mrow></mrow></math></span> where <span><math><mrow><mo>(</mo><msub><mi>ζ</mi><mn>1</mn></msub><mo>,</mo><msub><mi>ζ</mi><mn>2</mn></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mi>ζ</mi><mi>k</mi></msub><mo>)</mo></mrow></math></span> are dynamical-system variables, here, we show that it is only the deceleration parameter that is important for FRW cosmological models at the level of the critical points. Meaning that, if the deceleration parameter <span><math><msub><mi>q</mi><mi>c</mi></msub></math></span> is known at any critical point of the universe, then other cosmographic parameters (which are related to high derivatives of scale factor <span><math><mi>a</mi></math></span>) will be determined automatically in terms of the deceleration parameter as having <span><math><mrow><mfrac><mn>1</mn><msup><mi>H</mi><mi>n</mi></msup></mfrac><mfrac><mn>1</mn><mi>a</mi></mfrac><mfrac><mrow><msup><mi>d</mi><mi>n</mi></msup><mrow><mo>(</mo><mi>a</mi><mo>)</mo></mrow></mrow><mrow><mi>d</mi><msup><mi>t</mi><mi>n</mi></msup></mrow></mfrac><mo>=</mo><msubsup><mo>∏</mo><mrow><mi>j</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></msubsup><mo>(</mo><mrow><mo>(</mo><mn>2</mn><mo>−</mo><mi>j</mi><mo>)</mo></mrow><mo>+</mo><mrow><mo>(</mo><mn>1</mn><mo>−</mo><mi>j</mi><mo>)</mo></mrow><msub><mi>q</mi><mi>c</mi></msub><mo>)</mo></mrow></math></span>. This indicates that any critical point of FRW models can be fully described in terms of the deceleration parameter alone when other cosmographic parameters (in relation to higher derivatives of <span><math><mi>a</mi></math></span>) are obtained as polynomial functions of <span><math><msub><mi>q</mi><mi>c</mi></msub></math></span>, which hints at a sort of universality in the cosmic evolution for these epochs.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"869 ","pages":"Article 139876"},"PeriodicalIF":4.5,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}