Pub Date : 2026-01-14DOI: 10.1140/epjc/s10052-025-15277-5
G. A. Carvalho, R. V. Lobato, R. M. Marinho, M. Malheiro
We propose a unified framework for dark matter and dark energy based on the thermodynamic properties of a degenerate, relativistic Fermi gas in a higher-dimensional space-time. Extending the standard equation of state to D-dimensional space-time, we derive analytical expressions for the energy density, pressure, number density, sound velocity, and polytropic indices of a zero-temperature Fermi gas. Remarkably, we show that in the limit of vanishing Fermi momentum, the system exhibits a negative vacuum pressure and positive energy density when (D=(5+4n)), with (nin mathbb {N}). This feature provides a natural mechanism for the emergence of a cosmological constant-like component from fermionic matter in extra dimensions. In this context, dark matter arises from the bulk fermions’ rest mass energy, while dark energy emerges from their vacuum contributions. The observed cosmological vacuum energy density can be matched by fixing the compactification length scale, leading to constraints that depend on the fermion mass and the number of extra dimensions. Our results suggest that the dark sector may originate from a common fermionic source embedded in a higher-dimensional space-time, offering a novel pathway toward the unification of dark matter and dark energy.
{"title":"Unifying dark matter and dark energy as a Fermi gas in extra dimensions","authors":"G. A. Carvalho, R. V. Lobato, R. M. Marinho, M. Malheiro","doi":"10.1140/epjc/s10052-025-15277-5","DOIUrl":"10.1140/epjc/s10052-025-15277-5","url":null,"abstract":"<div><p>We propose a unified framework for dark matter and dark energy based on the thermodynamic properties of a degenerate, relativistic Fermi gas in a higher-dimensional space-time. Extending the standard equation of state to <i>D</i>-dimensional space-time, we derive analytical expressions for the energy density, pressure, number density, sound velocity, and polytropic indices of a zero-temperature Fermi gas. Remarkably, we show that in the limit of vanishing Fermi momentum, the system exhibits a negative vacuum pressure and positive energy density when <span>(D=(5+4n))</span>, with <span>(nin mathbb {N})</span>. This feature provides a natural mechanism for the emergence of a cosmological constant-like component from fermionic matter in extra dimensions. In this context, dark matter arises from the bulk fermions’ rest mass energy, while dark energy emerges from their vacuum contributions. The observed cosmological vacuum energy density can be matched by fixing the compactification length scale, leading to constraints that depend on the fermion mass and the number of extra dimensions. Our results suggest that the dark sector may originate from a common fermionic source embedded in a higher-dimensional space-time, offering a novel pathway toward the unification of dark matter and dark energy.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15277-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982534","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}
Pub Date : 2026-01-12DOI: 10.1140/epjc/s10052-025-15245-z
Jie Liang, Dong Liu, Zheng-Wen Long
Can models that are degenerate in electromagnetic observations (i.e., having identical shadows) be distinguished by their dynamical behaviors and quantum radiation properties? To address this question, this paper considers a unique charged black hole with logarithmic term corrections in NED (Mazharimousavi in Phys Lett B 841:137948, 2023, https://doi.org/10.1016/j.physletb.2023.137948, arXiv:2305.01048 [gr-qc]). It is found that for models degenerate with the shadow of a Schwarzschild black hole, although the oscillation frequencies (real parts) of their quasinormal modes (QNMs) are almost indistinguishable, their decay rates (imaginary parts) exhibit significant sensitivity. This provides the primary criterion for breaking the observational degeneracy. Furthermore, to investigate the effect of parameters, it is observed that when the parameter (zeta ) is fixed, the deviation behavior of QNM frequencies from those of the Schwarzschild black hole follows a more distinct pattern: the oscillation frequency decreases almost linearly with the increase in charge q, while the decay rate shows a stronger nonlinear dependence. In addition, the analysis of greybody factors (GFs) offers a second approach for distinction. It reveals a more complex non-monotonic behavior: in the low-frequency region, the transmittance of the Schwarzschild black hole is higher; however, above a cross frequency, the transmittance of the NED model rapidly surpasses that of the former. These results indicate that the damping time of QNMs and the precise shape of the Hawking radiation spectrum, rather than the shadow size, are more sensitive physical observables for detecting such logarithmic corrections. This study provides specific and distinguishable theoretical criteria for testing and constraining such NED models using gravitational wave astronomy and high-precision radiation observations in the future.
在电磁观测中简并的模型(即具有相同的阴影)可以通过它们的动力学行为和量子辐射特性来区分吗?为了解决这个问题,本文考虑了NED中具有对数项修正的唯一带电黑洞(Mazharimousavi in Phys Lett B 841:137948, 2023, https://doi.org/10.1016/j.physletb.2023.137948, arXiv:2305.01048 [gr-qc])。研究发现,对于在史瓦西黑洞阴影下简并的模型,虽然准正态模态(QNMs)的振荡频率(实部)几乎无法区分,但它们的衰减率(虚部)却表现出显著的敏感性。这提供了打破观测简并的主要标准。此外,为了研究参数的影响,我们观察到,当参数(zeta )固定时,QNM频率与史瓦西黑洞频率的偏差行为表现出更明显的模式:振荡频率随着电荷q的增加而几乎线性降低,而衰减率则表现出更强的非线性依赖性。此外,灰体因子(GFs)的分析提供了第二种区分方法。它揭示了一个更复杂的非单调行为:在低频区,史瓦西黑洞的透射率更高;然而,在交叉频率以上,NED模型的透过率迅速超过前者。这些结果表明,量子阱的阻尼时间和霍金辐射谱的精确形状,而不是阴影大小,是检测这种对数修正的更敏感的物理观测值。本研究为未来使用引力波天文学和高精度辐射观测来检验和约束这类NED模型提供了具体和可区分的理论标准。
{"title":"Quasinormal modes and greybody factors of black holes corrected by nonlinear electrodynamics","authors":"Jie Liang, Dong Liu, Zheng-Wen Long","doi":"10.1140/epjc/s10052-025-15245-z","DOIUrl":"10.1140/epjc/s10052-025-15245-z","url":null,"abstract":"<div><p>Can models that are degenerate in electromagnetic observations (i.e., having identical shadows) be distinguished by their dynamical behaviors and quantum radiation properties? To address this question, this paper considers a unique charged black hole with logarithmic term corrections in NED (Mazharimousavi in Phys Lett B 841:137948, 2023, https://doi.org/10.1016/j.physletb.2023.137948, arXiv:2305.01048 [gr-qc]). It is found that for models degenerate with the shadow of a Schwarzschild black hole, although the oscillation frequencies (real parts) of their quasinormal modes (QNMs) are almost indistinguishable, their decay rates (imaginary parts) exhibit significant sensitivity. This provides the primary criterion for breaking the observational degeneracy. Furthermore, to investigate the effect of parameters, it is observed that when the parameter <span>(zeta )</span> is fixed, the deviation behavior of QNM frequencies from those of the Schwarzschild black hole follows a more distinct pattern: the oscillation frequency decreases almost linearly with the increase in charge q, while the decay rate shows a stronger nonlinear dependence. In addition, the analysis of greybody factors (GFs) offers a second approach for distinction. It reveals a more complex non-monotonic behavior: in the low-frequency region, the transmittance of the Schwarzschild black hole is higher; however, above a cross frequency, the transmittance of the NED model rapidly surpasses that of the former. These results indicate that the damping time of QNMs and the precise shape of the Hawking radiation spectrum, rather than the shadow size, are more sensitive physical observables for detecting such logarithmic corrections. This study provides specific and distinguishable theoretical criteria for testing and constraining such NED models using gravitational wave astronomy and high-precision radiation observations in the future.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15245-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982898","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}
Pub Date : 2026-01-12DOI: 10.1140/epjc/s10052-025-15230-6
Mahendra Goray, Bijan Saha
In the framework of a spherically symmetric Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, we construct a quintessence model driven by a nonlinear, massless spinor field in an open-universe scenario. The model parameters are constrained using recent cosmological observations, including the distance modulus from type Ia supernovae (binned Pantheon sample), Hubble parameter measurements from cosmic chronometers (CC) and the Sloan Digital Sky Survey (SDSS), and baryon acoustic oscillation (BAO) data. A comprehensive Markov chain Monte Carlo (MCMC) analysis yields best-fit estimates for a relatively lower present-day Hubble constant, and the equation-of-state parameter. The best-fit theoretical predictions are compared with observational data for both the Hubble parameter and the distance modulus. Furthermore, the deceleration parameter and the statefinder pair ({r, s}) are evaluated to demonstrate the model’s effectiveness in describing the universe’s late-time acceleration. The resulting lower value of (H_{0}=66.9~text {km},text {s}^{-1},text {Mpc}^{-1}) is consistent with the Planck cosmic microwave background (CMB) measurements and suggests a possible route toward alleviating the current Hubble tension. Overall, the spinor field quintessence model with (w_{textrm{de}}=-0.814) and (Omega _{m0} = 0.264) emerges as a statistically viable and physically consistent alternative to the standard (Lambda )CDM cosmology and conventional scalar-field quintessence frameworks.
{"title":"Observational constraints on a nonlinear spinor field quintessence model in an FLRW universe","authors":"Mahendra Goray, Bijan Saha","doi":"10.1140/epjc/s10052-025-15230-6","DOIUrl":"10.1140/epjc/s10052-025-15230-6","url":null,"abstract":"<div><p>In the framework of a spherically symmetric Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, we construct a quintessence model driven by a nonlinear, massless spinor field in an open-universe scenario. The model parameters are constrained using recent cosmological observations, including the distance modulus from type Ia supernovae (binned Pantheon sample), Hubble parameter measurements from cosmic chronometers (CC) and the Sloan Digital Sky Survey (SDSS), and baryon acoustic oscillation (BAO) data. A comprehensive Markov chain Monte Carlo (MCMC) analysis yields best-fit estimates for a relatively lower present-day Hubble constant, and the equation-of-state parameter. The best-fit theoretical predictions are compared with observational data for both the Hubble parameter and the distance modulus. Furthermore, the deceleration parameter and the statefinder pair <span>({r, s})</span> are evaluated to demonstrate the model’s effectiveness in describing the universe’s late-time acceleration. The resulting lower value of <span>(H_{0}=66.9~text {km},text {s}^{-1},text {Mpc}^{-1})</span> is consistent with the <i>Planck</i> cosmic microwave background (CMB) measurements and suggests a possible route toward alleviating the current Hubble tension. Overall, the spinor field quintessence model with <span>(w_{textrm{de}}=-0.814)</span> and <span>(Omega _{m0} = 0.264)</span> emerges as a statistically viable and physically consistent alternative to the standard <span>(Lambda )</span>CDM cosmology and conventional scalar-field quintessence frameworks.\u0000\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15230-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982891","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}
Pub Date : 2026-01-12DOI: 10.1140/epjc/s10052-025-15221-7
Angelo Di Canto, Tabea Hacheney, Gudrun Hiller, Dominik Stefan Mitzel, Stéphane Monteil, Lars Röhrig, Dominik Suelmann
We analyze the potential of rare charm decays as probes of new physics at a high-luminosity flavor facility operating at the Z pole, such as the FCC-ee or CEPC. In particular, we identify clean null-test observables in (D^0 rightarrow pi ^+ pi ^- nu bar{nu }) and in polarized (varLambda _c^+ rightarrow p ell ^+ ell ^-) decays with (ell =e, mu ). Complementarity with the LHC and HL-LHC flavor programs arises from the characteristic features of a Tera-Z environment: the capability to study missing-energy modes and charm production with significant polarization. We improve the theoretical description of (D^0 rightarrow pi ^+ pi ^- nu bar{nu }) decays and work out the phenomenology of polarization-induced null-test observables in (varLambda _c^+ rightarrow p ell ^+ ell ^-) decays. In regions of dilepton mass near the (phi ) resonance, polarization asymmetries can reach (O(5 %)) for muons and (O(14 %)) for electrons times the (varLambda _c^+) polarization. We also point out synergies between the dineutrino and the dilepton modes using the SMEFT framework of heavy new physics. Using the IDEA detector concept at FCC-ee, we find in simulation studies that dineutrino branching fractions as low as (sim 2 times 10^{-7}) can be probed, which reaches well into the parameter space of new physics, and also allows for discrimination of lepton flavor structures. Furthermore, the measurement of asymmetries in (varLambda _c^+ rightarrow p mu ^+ mu ^-) at (O(1 %)) will be possible. Similar sensitivities are expected for dielectron final states, although robust predictions will require further dedicated studies.
我们分析了在Z极运行的高亮度风味设施(如FCC-ee或CEPC)中作为新物理探测的罕见魅力衰减的潜力。特别地,我们在 (D^0 rightarrow pi ^+ pi ^- nu bar{nu }) 在极化中 (varLambda _c^+ rightarrow p ell ^+ ell ^-) 与 (ell =e, mu )。与大型强子对撞机和hl -大型强子对撞机项目的互补性来自于Tera-Z环境的特征:能够研究缺失能量模式和具有显著极化的魅力产生。我们改进了的理论描述 (D^0 rightarrow pi ^+ pi ^- nu bar{nu }) 研究偏振诱导零检验观测值的衰减现象 (varLambda _c^+ rightarrow p ell ^+ ell ^-) 衰变。在双轻子质量附近的区域 (phi ) 共振、极化均可达到不对称 (O(5 %)) 对于μ子和 (O(14 %)) 对于电子乘以 (varLambda _c^+) 两极分化。我们还使用重新物理的SMEFT框架指出了双轻子模式和双中微子模式之间的协同作用。使用FCC-ee的IDEA探测器概念,我们在模拟研究中发现,中微子分支分数低至 (sim 2 times 10^{-7}) 可以探测,它深入到新物理的参数空间,也允许轻子风味结构的区分。此外,不对称的测量 (varLambda _c^+ rightarrow p mu ^+ mu ^-) 在 (O(1 %)) 将是可能的。类似的灵敏度预计也适用于介电子最终态,尽管可靠的预测需要进一步的专门研究。
{"title":"New opportunities for rare charm from (Zrightarrow cbar{c}) decays","authors":"Angelo Di Canto, Tabea Hacheney, Gudrun Hiller, Dominik Stefan Mitzel, Stéphane Monteil, Lars Röhrig, Dominik Suelmann","doi":"10.1140/epjc/s10052-025-15221-7","DOIUrl":"10.1140/epjc/s10052-025-15221-7","url":null,"abstract":"<div><p>We analyze the potential of rare charm decays as probes of new physics at a high-luminosity flavor facility operating at the <i>Z</i> pole, such as the FCC-ee or CEPC. In particular, we identify clean null-test observables in <span>(D^0 rightarrow pi ^+ pi ^- nu bar{nu })</span> and in polarized <span>(varLambda _c^+ rightarrow p ell ^+ ell ^-)</span> decays with <span>(ell =e, mu )</span>. Complementarity with the LHC and HL-LHC flavor programs arises from the characteristic features of a Tera-<i>Z</i> environment: the capability to study missing-energy modes and charm production with significant polarization. We improve the theoretical description of <span>(D^0 rightarrow pi ^+ pi ^- nu bar{nu })</span> decays and work out the phenomenology of polarization-induced null-test observables in <span>(varLambda _c^+ rightarrow p ell ^+ ell ^-)</span> decays. In regions of dilepton mass near the <span>(phi )</span> resonance, polarization asymmetries can reach <span>(O(5 %))</span> for muons and <span>(O(14 %))</span> for electrons times the <span>(varLambda _c^+)</span> polarization. We also point out synergies between the dineutrino and the dilepton modes using the SMEFT framework of heavy new physics. Using the IDEA detector concept at FCC-ee, we find in simulation studies that dineutrino branching fractions as low as <span>(sim 2 times 10^{-7})</span> can be probed, which reaches well into the parameter space of new physics, and also allows for discrimination of lepton flavor structures. Furthermore, the measurement of asymmetries in <span>(varLambda _c^+ rightarrow p mu ^+ mu ^-)</span> at <span>(O(1 %))</span> will be possible. Similar sensitivities are expected for dielectron final states, although robust predictions will require further dedicated studies.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15221-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982887","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}
Pub Date : 2026-01-08DOI: 10.1140/epjc/s10052-025-15214-6
Tayyab Naseer, M. Sharif, Javeria Javid, Omer A. Magzoub, M. Abdalla
This study applies the concept of a complexity factor, originally formulated for static spherically symmetric spacetimes, to a system containing a charged fluid. The analysis commences by formulating the Einstein field equations for the anisotropic fluid and subsequently evaluating two distinct mass functions. The scalar ({Y}_{TF}) is selected as the complexity factor under Herrera’s formalism due to the incorporation of the key factors for dynamical complexity, which are pressure anisotropy and energy density inhomogeneity. Furthermore, the field equations are solved by imposing several constraints, one of them being the requirement of vanishing complexity. Using two different expressions for the radial metric potential, we obtain two independent solutions. We then determine the unknowns in these models by applying the junction conditions with the Reissner–Nordström metric as the exterior spacetime. Multiple stellar candidates’ observational data is assumed to check the acceptability of the obtained solutions graphically. It is concluded that both the suggested models depict stable and physically viable fluid configurations. These findings ultimately show that how well the vanishing complexity requirement behave in achieving feasible charged anisotropic fluid solutions.
{"title":"Modeling theoretical charged compact stellar structures under zero complexity factor constraint in Einstein’s gravity scenario","authors":"Tayyab Naseer, M. Sharif, Javeria Javid, Omer A. Magzoub, M. Abdalla","doi":"10.1140/epjc/s10052-025-15214-6","DOIUrl":"10.1140/epjc/s10052-025-15214-6","url":null,"abstract":"<div><p>This study applies the concept of a complexity factor, originally formulated for static spherically symmetric spacetimes, to a system containing a charged fluid. The analysis commences by formulating the Einstein field equations for the anisotropic fluid and subsequently evaluating two distinct mass functions. The scalar <span>({Y}_{TF})</span> is selected as the complexity factor under Herrera’s formalism due to the incorporation of the key factors for dynamical complexity, which are pressure anisotropy and energy density inhomogeneity. Furthermore, the field equations are solved by imposing several constraints, one of them being the requirement of vanishing complexity. Using two different expressions for the radial metric potential, we obtain two independent solutions. We then determine the unknowns in these models by applying the junction conditions with the Reissner–Nordström metric as the exterior spacetime. Multiple stellar candidates’ observational data is assumed to check the acceptability of the obtained solutions graphically. It is concluded that both the suggested models depict stable and physically viable fluid configurations. These findings ultimately show that how well the vanishing complexity requirement behave in achieving feasible charged anisotropic fluid solutions.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15214-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930695","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}
Pub Date : 2026-01-08DOI: 10.1140/epjc/s10052-025-15196-5
R. Casadio, C. Noberto Souza, R. da Rocha
Quasinormal modes for bosonic (scalar, electromagnetic, and axial gravitational) and fermionic field perturbations, radiated from black holes that carry quantum gravitational corrections at third order in the curvature to the Schwarzschild solution, are scrutinized from the propagation of analog transonic sound waves across a de Laval nozzle. The thermodynamic variables, the nozzle geometry, the Mach number, and the thrust coefficient are computed as functions of the parameter driving the effective action for quantum gravity containing a dimension-six local operator beyond general relativity. The quasinormal modes for quantum gravitational corrected analog black holes are also determined for higher overtones, yielding a more precise description of the quantum-corrected ringdown process and the gravitational waveform way before the fundamental mode sets in.
{"title":"Quantum gravitational corrections at third-order curvature, acoustic analog black holes and their quasinormal modes","authors":"R. Casadio, C. Noberto Souza, R. da Rocha","doi":"10.1140/epjc/s10052-025-15196-5","DOIUrl":"10.1140/epjc/s10052-025-15196-5","url":null,"abstract":"<div><p>Quasinormal modes for bosonic (scalar, electromagnetic, and axial gravitational) and fermionic field perturbations, radiated from black holes that carry quantum gravitational corrections at third order in the curvature to the Schwarzschild solution, are scrutinized from the propagation of analog transonic sound waves across a de Laval nozzle. The thermodynamic variables, the nozzle geometry, the Mach number, and the thrust coefficient are computed as functions of the parameter driving the effective action for quantum gravity containing a dimension-six local operator beyond general relativity. The quasinormal modes for quantum gravitational corrected analog black holes are also determined for higher overtones, yielding a more precise description of the quantum-corrected ringdown process and the gravitational waveform way before the fundamental mode sets in.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15196-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930658","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}
Pub Date : 2026-01-07DOI: 10.1140/epjc/s10052-025-15145-2
M. Asadnezhad, M. Bigdeli
We study the structure of neutron stars within the framework of minimal dilatonic gravity (MDG), a scalar–tensor theory related to Brans–Dicke gravity with ( omega = 0 ). Using three realistic unified equations of state (EOSs), LOCV1804, LOCV1811, and LOCV1815, enabling us to investigate the sensitivity of MDG predictions to the stiffness of dense matter, we analyze stellar configurations for different values of the dilaton field mass ( m_{Phi } ). Our results show that a dilaton halo forms around the neutron star, contributing significantly to the total mass. The halo mass fraction reaches 20–30% in neutron stars with masses greater than ( 2M_{odot } ), leading to total masses that exceed those predicted by General Relativity. These results are consistent with mass measurements from recent gravitational wave and NICER (Neutron Star Interior Composition Explorer) observations. We also find that smaller dilaton field masses yield more massive neutron star–halo systems. For high-density stars, the dilaton pressure becomes negative at the center and behaves like dark energy, modifying the radial profile of the dilaton field.
我们在最小扩张引力(MDG)的框架内研究中子星的结构,MDG是一个与Brans-Dicke引力相关的标量张量理论 ( omega = 0 )。利用LOCV1804、LOCV1811和LOCV1815三个现实的统一状态方程(eos),研究了MDG预测对致密物质刚度的敏感性,分析了不同膨胀场质量值下的恒星构型 ( m_{Phi } )。我们的结果表明,在中子星周围形成了一个膨胀晕,对总质量有很大的贡献。光晕质量分数达到20-30% in neutron stars with masses greater than ( 2M_{odot } ), leading to total masses that exceed those predicted by General Relativity. These results are consistent with mass measurements from recent gravitational wave and NICER (Neutron Star Interior Composition Explorer) observations. We also find that smaller dilaton field masses yield more massive neutron star–halo systems. For high-density stars, the dilaton pressure becomes negative at the center and behaves like dark energy, modifying the radial profile of the dilaton field.
{"title":"Neutron stars in minimal dilatonic gravity","authors":"M. Asadnezhad, M. Bigdeli","doi":"10.1140/epjc/s10052-025-15145-2","DOIUrl":"10.1140/epjc/s10052-025-15145-2","url":null,"abstract":"<div><p>We study the structure of neutron stars within the framework of minimal dilatonic gravity (MDG), a scalar–tensor theory related to Brans–Dicke gravity with <span>( omega = 0 )</span>. Using three realistic unified equations of state (EOSs), LOCV1804, LOCV1811, and LOCV1815, enabling us to investigate the sensitivity of MDG predictions to the stiffness of dense matter, we analyze stellar configurations for different values of the dilaton field mass <span>( m_{Phi } )</span>. Our results show that a dilaton halo forms around the neutron star, contributing significantly to the total mass. The halo mass fraction reaches 20–30% in neutron stars with masses greater than <span>( 2M_{odot } )</span>, leading to total masses that exceed those predicted by General Relativity. These results are consistent with mass measurements from recent gravitational wave and NICER (Neutron Star Interior Composition Explorer) observations. We also find that smaller dilaton field masses yield more massive neutron star–halo systems. For high-density stars, the dilaton pressure becomes negative at the center and behaves like dark energy, modifying the radial profile of the dilaton field.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15145-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145929832","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}
Pub Date : 2026-01-07DOI: 10.1140/epjc/s10052-025-15212-8
Hongbin Zhang, Yanyue Gao, Baocheng Zhang
With the advancements in clock timing technology, increasingly smaller time differences can be distinguished. Therefore, it is critical to investigate the fractional frequency shift of clocks at different locations on Earth. In this paper, we study it systematically under the influence of a subtle lunar tidal potential based on a new method. Our calculations in the geocentric Fermi frame show that when two clocks are located at the same latitude, the longitude difference changes the fractional frequency shift between them. A similar phenomenon occurs when there is a difference in latitude between two clocks on the ground at the same longitude. Interestingly, when the Moon’s longitude changes, the phase and amplitude of the lunar tidal fractional frequency shift between two clocks with the same longitude difference will change, while the change in the Moon’s latitude only affects the amplitude of the fractional frequency shift of these two clocks. Our results provide useful information for the calibration and synchronization of clocks on Earth.
{"title":"The influence of lunar tidal potential on clock frequencies at different positions on Earth","authors":"Hongbin Zhang, Yanyue Gao, Baocheng Zhang","doi":"10.1140/epjc/s10052-025-15212-8","DOIUrl":"10.1140/epjc/s10052-025-15212-8","url":null,"abstract":"<div><p>With the advancements in clock timing technology, increasingly smaller time differences can be distinguished. Therefore, it is critical to investigate the fractional frequency shift of clocks at different locations on Earth. In this paper, we study it systematically under the influence of a subtle lunar tidal potential based on a new method. Our calculations in the geocentric Fermi frame show that when two clocks are located at the same latitude, the longitude difference changes the fractional frequency shift between them. A similar phenomenon occurs when there is a difference in latitude between two clocks on the ground at the same longitude. Interestingly, when the Moon’s longitude changes, the phase and amplitude of the lunar tidal fractional frequency shift between two clocks with the same longitude difference will change, while the change in the Moon’s latitude only affects the amplitude of the fractional frequency shift of these two clocks. Our results provide useful information for the calibration and synchronization of clocks on Earth.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15212-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930596","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}
Pub Date : 2026-01-07DOI: 10.1140/epjc/s10052-025-15224-4
Jin-Li Zhang
An array of the kaon twist-two, three, four generalised transverse momentum dependent parton distributions (GTMDs) has been investigated within the framework of covariant and confining Dyson–Schwinger equations using contact interaction. GTMDs are of great significance as they encompass information regarding both the generalised parton distributions (GPDs) and the transverse momentum dependent parton distributions (TMDs), thus being considered as the parent distribution. From GTMDs, we can derive the twist-two, three, four GPDs and TMDs. GPDs are obtained through the integration of (varvec{k}_{perp }) from GTMDs, with a focus on the twist-two GPDs. The first Mellin moments of GPDs yield the form factors of local currents. The second Mellin moments of vector GPDs are related to gravitational form factors. The Wigner distribution can be obtained from a Fourier transform in the transverse space of the GTMDs at skewedness parameter (xi =0.) The Wigner distributions of an unpolarized, longitudinally polarized, and transversely polarized quark inside the kaon have been calculated. Through the three twist-two Wigner distributions, we study the dynamical spin effects of the quarks inside kaon to reveal its multidimensional structure. The spin-orbit correlations between a hadron and a quark can be explained based on the phase-space average of Wigner distributions. We investigate the correlation between the longitudinal spin and orbital angular momentum of valence quarks within the pion and kaon. Our findings reveal that (C_z^{u,K}=-0.336,)(C_z^{s,K}=0.242,) and (C_z^{u,pi }=-0.374.) The parton distribution function in impact parameter space can be derived from the Wigner distribution. The study focuses on the light-front transverse-spin distributions (rho _u^1left( varvec{b}_{bot },varvec{s}_{perp }right) ) and (rho _u^2left( varvec{b}_{bot },varvec{s}_{perp }right) ,) which exhibit distortions, and we calculate their average shift. This comprehensive analysis will enhance our understanding of the parton distribution picture of kaons. While there have been a few theoretical studies investigating the GTMDs in experiments, no experimental data is currently available. The results of our model calculation offer qualitative insights into these distributions.
{"title":"Kaon GTMDs in the Dyson–Schwinger equations using contact interaction","authors":"Jin-Li Zhang","doi":"10.1140/epjc/s10052-025-15224-4","DOIUrl":"10.1140/epjc/s10052-025-15224-4","url":null,"abstract":"<div><p>An array of the kaon twist-two, three, four generalised transverse momentum dependent parton distributions (GTMDs) has been investigated within the framework of covariant and confining Dyson–Schwinger equations using contact interaction. GTMDs are of great significance as they encompass information regarding both the generalised parton distributions (GPDs) and the transverse momentum dependent parton distributions (TMDs), thus being considered as the parent distribution. From GTMDs, we can derive the twist-two, three, four GPDs and TMDs. GPDs are obtained through the integration of <span>(varvec{k}_{perp })</span> from GTMDs, with a focus on the twist-two GPDs. The first Mellin moments of GPDs yield the form factors of local currents. The second Mellin moments of vector GPDs are related to gravitational form factors. The Wigner distribution can be obtained from a Fourier transform in the transverse space of the GTMDs at skewedness parameter <span>(xi =0.)</span> The Wigner distributions of an unpolarized, longitudinally polarized, and transversely polarized quark inside the kaon have been calculated. Through the three twist-two Wigner distributions, we study the dynamical spin effects of the quarks inside kaon to reveal its multidimensional structure. The spin-orbit correlations between a hadron and a quark can be explained based on the phase-space average of Wigner distributions. We investigate the correlation between the longitudinal spin and orbital angular momentum of valence quarks within the pion and kaon. Our findings reveal that <span>(C_z^{u,K}=-0.336,)</span> <span>(C_z^{s,K}=0.242,)</span> and <span>(C_z^{u,pi }=-0.374.)</span> The parton distribution function in impact parameter space can be derived from the Wigner distribution. The study focuses on the light-front transverse-spin distributions <span>(rho _u^1left( varvec{b}_{bot },varvec{s}_{perp }right) )</span> and <span>(rho _u^2left( varvec{b}_{bot },varvec{s}_{perp }right) ,)</span> which exhibit distortions, and we calculate their average shift. This comprehensive analysis will enhance our understanding of the parton distribution picture of kaons. While there have been a few theoretical studies investigating the GTMDs in experiments, no experimental data is currently available. The results of our model calculation offer qualitative insights into these distributions.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15224-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930598","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}