{"title":"Screen chaotic motion by Shannon entropy in curved spacetimes","authors":"Wenfu Cao, Yang Huang, Hongsheng Zhang","doi":"10.1140/epjc/s10052-025-14310-x","DOIUrl":"10.1140/epjc/s10052-025-14310-x","url":null,"abstract":"<div><p>We find a novel characteristic for chaotic motion by introducing Shannon entropy for periodic orbits, quasiperiodic orbits, and chaotic orbits. We compare our approach with the previous methods including Poincaré section, Lyapunov exponent, fast Lyapunov indicator, recurrence plots (Rps), and fast Fourier transform (FFT) for orbits around black holes immersed in magnetic fields, and show that they agree with each other quite well. The approach of Shannon entropy is intuitively clear, and theoretically reasonable since it becomes larger and larger from a periodic orbit to chaotic orbit. We demonstrate that Shannon entropy can be a powerful probe to distinguish between chaotic and regular orbits in different spacetimes, and reversely may lead to a new route to define the entropy for a single orbit in phase space, and to find more fundamental relations between thermodynamics and dynamics. Furthermore, we find that the fluctuations of entropy of chaotic orbits are stronger than those of order orbits.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 5","pages":""},"PeriodicalIF":4.2,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14310-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144125811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Circular orbits and chaos bound in slow-rotating curved acoustic black holes","authors":"Balbeer Singh, Nibedita Padhi, Rashmi R. Nayak","doi":"10.1140/epjc/s10052-025-14311-w","DOIUrl":"10.1140/epjc/s10052-025-14311-w","url":null,"abstract":"<div><p>Acoustic black holes, analogs of gravitational black holes created in fluid systems, have recently been embedded within Schwarzschild spacetime using the Gross–Pitaevskii theory, leading to configurations with both event and acoustic horizons. This study examines the motion of vortices, modeled as unit-mass relativistic test particles, around a slow-rotating curved acoustic black hole. We analyse the stability of circular orbits, identifying the innermost stable circular orbit (ISCO), and investigate the chaotic dynamics of vortices perturbed from unstable circular orbits near the acoustic horizon. Using the Lyapunov exponent to quantify this chaos, we assess whether it satisfies the Maldacena–Shenker–Stanford bound <span>((lambda le 2 pi T_H))</span>, a limit established for gravitational black holes in general relativity. Our results show that, in non-extremal cases <span>((xi > 4))</span>, the Lyapunov exponent respects the bound near the horizon, while in extremal cases <span>((xi = 4))</span>, it is violated due to vanishing surface gravity. These findings highlight similarities between acoustic and gravitational black holes, advancing the analogy in the context of chaos and orbital dynamics.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 5","pages":""},"PeriodicalIF":4.2,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14311-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144125810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Neutrino mass genesis in scoto-inverse seesaw with modular (A_4)","authors":"Gourab Pathak, Pritam Das, Mrinal Kumar Das","doi":"10.1140/epjc/s10052-025-14263-1","DOIUrl":"10.1140/epjc/s10052-025-14263-1","url":null,"abstract":"<div><p>We propose a hybrid scotogenic inverse seesaw framework in which the Majorana mass term is generated at the one-loop level through the inclusion of a singlet fermion. This singlet Majorana fermion also serves as a viable thermal relic dark matter candidate due to its limited interactions with other fields. To construct the model, we adopt an <span>(A_4)</span> flavour symmetry in a modular framework, where the odd modular weight of the fields ensures their stability, and the specific modular weights of the couplings yield distinctive modular forms, leading to various phenomenological consequences. The explicit flavour structure of the mass matrices produces characteristic correlation patterns among the parameters. Furthermore, we examine several testable implications of the model, including neutrinoless double beta decay (<span>(0nu beta beta )</span>), charged lepton flavour violation (cLFV), and direct detection prospects for the dark matter candidate. These features make our model highly testable in upcoming experiments.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 5","pages":""},"PeriodicalIF":4.2,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14263-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144125812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finsler–modified Randers cosmological models in Einstein field theory","authors":"P. K. Dwivedi, C. K. Mishra, Sachin Kumar","doi":"10.1140/epjc/s10052-025-14268-w","DOIUrl":"10.1140/epjc/s10052-025-14268-w","url":null,"abstract":"<div><p>In this research article, we have considered the Finsler–Modified Randers Cosmological model (FMRCM) with Cosmological constant <span>(Lambda )</span> for generalized Finsler–Randers space time, to investigate the solutions of this model in Einstein theory of cosmology in different variations of energy conditions. Also, we have analyzed the role of cosmological constant <span>(Lambda )</span> in various scenarios, exploring its impact on both accelerating and decelerating phases of cosmic expansion.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 5","pages":""},"PeriodicalIF":4.2,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14268-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Scalar fully-charm and bottom tetraquarks under extreme temperatures","authors":"A. Aydın, H. Sundu, J. Y. Süngü, E. Veli Veliev","doi":"10.1140/epjc/s10052-025-14090-4","DOIUrl":"10.1140/epjc/s10052-025-14090-4","url":null,"abstract":"<div><p>Temperature-dependences of masses and current couplings of the ground state of the fully heavy tetraquarks <span>(T_{4c})</span> and <span>(T_{4b})</span>, composed of charm (c) and bottom (b) quarks and antiquarks with spin-parities <span>(J^{PC} = 0^{++})</span> are evaluated in the diquark–antidiquark picture using Thermal QCDSR including vacuum condensates up to dimension four. The calculated values for <span>(ccbar{c}bar{c})</span> and <span>(bbbar{b}bar{b})</span> tetraquark states at <span>(T=0)</span> align well with the experimental data on the broad structures. Based on the numerical analyses around the critical temperature, the mass of the <span>(T_{4c})</span> state decreases by <span>(8%)</span> compared to its vacuum state, while for its b partner, this percentage is approximately <span>(3.3%)</span>. For the decay constants, the reductions are approximately <span>(71%)</span> and <span>(66.6%)</span>, respectively. The precise exploration of tetraquark states awaits future scrutiny in upcoming experiments, including Belle II, Super-B, PANDA, and LHCb.\u0000\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 5","pages":""},"PeriodicalIF":4.2,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14090-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144125849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Parameter constraints and cosmographic analysis of Barrow agegraphic and new Barrow agegraphic dark energy models","authors":"Anamika Kotal, Sayani Maity, Ujjal Debnath, Anirudh Pradhan","doi":"10.1140/epjc/s10052-025-14294-8","DOIUrl":"10.1140/epjc/s10052-025-14294-8","url":null,"abstract":"<div><p>This research focuses on examining a non-flat Friedmann–Robertson–Walker (FRW) cosmological model of the universe incorporating both dark matter and dark energy. Two intriguing dark energy models, Barrow agegraphic dark energy (BADE) and new Barrow agegraphic dark energy (NBADE), which were introduced in accordance with the holographic principle incorporating Barrow entropy, have been selected to play the role of dark energy. Using datasets from cosmic chronometers and baryon acoustic oscillations, we utilized the Markov Chain Monte Carlo (MCMC) technique to constrain the parameters of our model. This enables us to make several possible comparisons between these novel models of dark energy and the <span>(Lambda )</span>CDM models. Here, we explore cosmological parameters, including the equation of state(EoS) parameter, jerk parameter, deceleration parameter, and cosmological planes such as the <span>(q-r)</span> plane, <span>(omega _d - omega '_d)</span> for different values of the model parameters by considering both the presence and absence of mutual interactions of the dark sector of the universe. In addition, we examined the thermal stability and the Swampland criteria of our constructed models. Additionally, we analyze the energy conditions and find that NEC and DEC are fulfilled, but SEC is broken, indicating model stability and supporting the current acceleration of the universe. In order to give a more precise explanation of the origin of cosmic structures, we lastly conduct a linear perturbation analysis to examine the growth in matter density perturbations.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 5","pages":""},"PeriodicalIF":4.2,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14294-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Reconstruction and identification of pairs of collimated (tau )-leptons decaying hadronically using (sqrt{s}=13) TeV pp collision data with the ATLAS detector","authors":"ATLAS Collaboration","doi":"10.1140/epjc/s10052-025-14075-3","DOIUrl":"10.1140/epjc/s10052-025-14075-3","url":null,"abstract":"<div><p>This paper describes an algorithm for reconstructing and identifying a highly collimated hadronically decaying <span>(tau )</span>-lepton pair with low transverse momentum. When two <span>(tau )</span>-leptons are highly collimated, their visible decay products might overlap, degrading the reconstruction performance for each of the <span>(tau )</span>-leptons. A dedicated treatment attempting to tag the <span>(tau )</span>-lepton pair as a single object is required. The reconstruction algorithm is based on a large radius jet and its associated two leading subjets, and the identification uses a boosted decision tree to discriminate between signatures from <span>(tau ^+tau ^-)</span> systems and those arising from QCD jets. The efficiency of the identification algorithm is measured in <span>(Zgamma )</span> events using proton–proton collision data at <span>(sqrt{s}=13)</span> TeV collected by the ATLAS experiment at the Large Hadron Collider between 2015 and 2018, corresponding to an integrated luminosity of <span>(139,text{ fb}^{-1})</span>. The resulting data-to-simulation scale factors are close to unity with uncertainties ranging from 26 to 37%. \u0000\u0000\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 5","pages":""},"PeriodicalIF":4.2,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14075-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Off-diagonal deformations of regular Schwarzschild black holes and general relativistic G. Perelman thermodynamics","authors":"Sergiu I. Vacaru, Elşen Veli Veliev","doi":"10.1140/epjc/s10052-025-14271-1","DOIUrl":"10.1140/epjc/s10052-025-14271-1","url":null,"abstract":"<div><p>We construct new classes of solutions describing generic off-diagonal deformations of regular Schwarzschild black holes (BHs) in general relativity (GR). Examples of such (primary) diagonal metrics reducing the Einstein equations to integrable systems of nonlinear ordinary differential equations were studied in a recent work by Casadio et al. (Phys Rev D 111:064036, 2025). We develop and apply our anholonomic frame and connection deformations method, which allows us to generate new classes of target off-diagonal solutions. Ansatz that reduces the gravitational field equations to systems of (exactly or parametric) integrable systems of nonlinear partial differential equations are used. We find and analyze certain families of deformed regular BHs containing an off-diagonal de Sitter condensate encoding solitonic vacuum configurations, with possible deformations of horizons and/or gravitational polarizations of constants. We emphasize that general off-diagonal solutions do not involve certain hypersurface or holographic configurations. This means that the Bekenstein–Hawking thermodynamic paradigm is not applicable for characterizing the physical properties of such target regular solutions. We argue that the concept of G. Perelman’s entropy and relativistic geometric flow thermodynamics is more appropriate. Using nonlinear symmetries involving effective cosmological constants, we show how to compute thermodynamic variables for various classes of physically essential solutions in GR.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 5","pages":""},"PeriodicalIF":4.2,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14271-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Measurements of (psi (2S)) and (chi _{c1}(3872)) production within fully reconstructed jets","authors":"LHCb Collaboration","doi":"10.1140/epjc/s10052-025-13852-4","DOIUrl":"10.1140/epjc/s10052-025-13852-4","url":null,"abstract":"<div><p>This paper presents the first measurement of <span>(psi {(2S)})</span> and <span>(chi _{c1}(3872))</span> meson production within fully reconstructed jets. Each quarkonium state (tag) is reconstructed via its decay to the <span>({{J hspace{-1.66656pt}/hspace{-1.111pt}psi }} )</span>(<span>(rightarrow )</span> <span>(mu ^+mu ^-)</span>)<span>(pi ^+pi ^-)</span> final state in the forward region using proton-proton collision data collected by the LHCb experiment at the center-of-mass-energy of <span>(13text {TeV} )</span> in 2016, corresponding to an integrated luminosity of <span>(1.64,text {,fb} ^{-1} )</span>. The fragmentation function, presented as the ratio of the quarkonium-tag transverse momentum to the full jet transverse momentum (<span>(p_{textrm{T}} (text {tag})/p_{textrm{T}} (text {jet}))</span>), is measured differentially in <span>(p_{textrm{T}} (text {jet}))</span> and <span>(p_{textrm{T}} (text {tag}))</span> bins. The distributions are separated into promptly produced quarkonia from proton-proton collisions and quarkonia produced from displaced <i>b</i>-hadron decays. While the displaced quarkonia fragmentation functions are in general well described by parton-shower predictions, the prompt quarkonium distributions differ significantly from fixed-order non-relativistic QCD (NRQCD) predictions followed by a QCD parton shower. \u0000\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 5","pages":""},"PeriodicalIF":4.2,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-13852-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}