Annals of Physics最新文献

英文中文

Dirac equation with space contributions embedded in a quantum-corrected gravitational field

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-17 DOI: 10.1016/j.aop.2025.170033

M. Baradaran , L.M. Nieto , S. Zarrinkamar

The Dirac equation is considered with the recently proposed generalized gravitational interaction (Kepler or Coulomb), which includes post-Newtonian (relativistic) and quantum corrections to the classical potential. The general idea in choosing the metric is that the spacetime contributions are contained in an external potential or in an electromagnetic potential which can be considered as a good basis for future studies of quantum physics in space. The forms considered for the scalar potential and the so-called vector (magnetic) potential, can be viewed as the multipole expansion of these terms and therefore the approach includes a simultaneous study of multipole expansions to both fields. We also comment on the special case of the problem with merely a relativistic correction in terms of Heun functions. The impossibility of solving our equation for the quantum-corrected Coulomb terms using known exact or quasi-exact nonperturbative analytical techniques is discussed, and finally the Bethe-ansatz approach is proposed to overcome this challenging problem.

引用次数: 0

Kink solutions in nonlocal scalar field theory models

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-17 DOI: 10.1016/j.aop.2025.170028

I. Andrade , R. Menezes , A.Yu. Petrov , P.J. Porfírio

In this paper, we study in detail various solutions, especially kink ones, in different nonlocal scalar field theories, whose kinetic term is described by an arbitrary non-polynomial analytic function of the d’Alembertian operator, and the potential is chosen either to be quadratic or to allow for the kink-like solution. Using the perturbative method, we find corrections of first and second orders in the nonlocality parameter around local solutions for several form factors and generate analytic expressions for the energy density up to the first order in this parameter. Additionally, we also address an inverse problem, that is, we reconstruct the potential corresponding to the given solution obtaining restrictions for the form factor.

引用次数: 0

A note on stability of neutron star and cosmological constant

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-17 DOI: 10.1016/j.aop.2025.170029

Naveen K. Singh , Gopal Kashyap

We derive the equation for pressure within a neutron star while incorporating a nonzero cosmological constant (

Λ

). We then examine the equilibrium configurations of neutron stars in the presence of

Λ

and extend the stability theorem for stellar structures to such cases. Our analysis confirms that the equilibrium theorem remains valid even when a cosmological constant is introduced. To explore the astrophysical implications, we numerically solve the stellar structure equations for various equations of state (EOS) and analyze the resulting mass–radius (

M

R

) relations. While the observed value of

Λ

has a negligible impact on neutron star properties, we find that for

Λ \geq 1 0^{- 11} m^{- 2}

, significant deviations in the mass and radius of neutron stars arise. This result is consistent with previous studies, highlighting the sensitivity of compact object structure to nonzero

Λ

values.

{"title":"A note on stability of neutron star and cosmological constant","authors":"Naveen K. Singh , Gopal Kashyap","doi":"10.1016/j.aop.2025.170029","DOIUrl":"10.1016/j.aop.2025.170029","url":null,"abstract":"<div><div>We derive the equation for pressure within a neutron star while incorporating a nonzero cosmological constant (<span><math><mi>Λ</mi></math></span>). We then examine the equilibrium configurations of neutron stars in the presence of <span><math><mi>Λ</mi></math></span> and extend the stability theorem for stellar structures to such cases. Our analysis confirms that the equilibrium theorem remains valid even when a cosmological constant is introduced. To explore the astrophysical implications, we numerically solve the stellar structure equations for various equations of state (EOS) and analyze the resulting mass–radius (<span><math><mi>M</mi></math></span>-<span><math><mi>R</mi></math></span>) relations. While the observed value of <span><math><mi>Λ</mi></math></span> has a negligible impact on neutron star properties, we find that for <span><math><mrow><mi>Λ</mi><mo>≥</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>11</mn></mrow></msup><mspace></mspace><msup><mrow><mtext>m</mtext></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow></math></span>, significant deviations in the mass and radius of neutron stars arise. This result is consistent with previous studies, highlighting the sensitivity of compact object structure to nonzero <span><math><mi>Λ</mi></math></span> values.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170029"},"PeriodicalIF":3.0,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143850168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}

引用次数: 0

Do anomalies break the momentum routing invariance?

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-15 DOI: 10.1016/j.aop.2025.170025

A.R. Vieira

The diagrammatic computation of anomalies is usually associated with the breaking of the momentum routing invariance. This is because the momentum routing is usually chosen to fulfill the desired Ward identity. In the case of the chiral anomaly, the momentum routing is chosen in order to fulfill the gauge Ward identity and break the chiral Ward identity. Although the chiral anomaly is physical because it is associated with the pion decay into two photons, this does not necessarily mean that the momentum routing invariance is broken because the momentum routing was chosen in the computation of the anomaly. The reciprocal is not true, i.e. anomalies do not imply in momentum routing invariance breaking. In this work, we show that if gauge invariance is assumed, the chiral and the scale anomalies are independent of the momentum routing chosen and as a result they are momentum routing invariant. This idea is applied to a QED with non-minimal CPT and Lorentz violation, where momentum routing invariance is used to find out what symmetry is broken in the Ward identities.

引用次数: 0

Understanding curvature–matter interaction in viable f(R) dark energy models: A dynamical analysis approach

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-15 DOI: 10.1016/j.aop.2025.170036

Anirban Chatterjee, Yungui Gong

We employ a linear stability analysis approach to explore the dynamics of matter and curvature-driven dark energy interactions within the framework of two types of viable

f (R)

gravity models. The interaction is modeled via a source term in the continuity equations,

Q = α {\tilde{ρ}}_{m} (\frac{3 H^{3}}{κ^{2} ρ_{curv}} + \frac{κ^{2}}{3 H} ρ_{curv})

. Our results reveal significant modifications to the fixed points and their stability criteria compared to traditional

f (R)

gravity analyses without matter–curvature coupling. We identify constraints on model and coupling parameters necessary for critical point stability, illustrating how the interaction influences cosmic dynamics within specific parameter ranges. The findings are consistent with observed cosmic evolution, supporting stable late-time acceleration. Moreover, we highlight the coupling parameter’s potential role in addressing the cosmic coincidence problem.

{"title":"Understanding curvature–matter interaction in viable f(R) dark energy models: A dynamical analysis approach","authors":"Anirban Chatterjee, Yungui Gong","doi":"10.1016/j.aop.2025.170036","DOIUrl":"10.1016/j.aop.2025.170036","url":null,"abstract":"<div><div>We employ a linear stability analysis approach to explore the dynamics of matter and curvature-driven dark energy interactions within the framework of two types of viable <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity models. The interaction is modeled via a source term in the continuity equations, <span><math><mrow><mi>Q</mi><mo>=</mo><mi>α</mi><msub><mrow><mover><mrow><mi>ρ</mi></mrow><mrow><mo>̃</mo></mrow></mover></mrow><mrow><mi>m</mi></mrow></msub><mrow><mo>(</mo><mrow><mfrac><mrow><mn>3</mn><msup><mrow><mi>H</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow><mrow><msup><mrow><mi>κ</mi></mrow><mrow><mn>2</mn></mrow></msup><msub><mrow><mi>ρ</mi></mrow><mrow><mi>curv</mi></mrow></msub></mrow></mfrac><mo>+</mo><mfrac><mrow><msup><mrow><mi>κ</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><mn>3</mn><mi>H</mi></mrow></mfrac><msub><mrow><mi>ρ</mi></mrow><mrow><mi>curv</mi></mrow></msub></mrow><mo>)</mo></mrow></mrow></math></span>. Our results reveal significant modifications to the fixed points and their stability criteria compared to traditional <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity analyses without matter–curvature coupling. We identify constraints on model and coupling parameters necessary for critical point stability, illustrating how the interaction influences cosmic dynamics within specific parameter ranges. The findings are consistent with observed cosmic evolution, supporting stable late-time acceleration. Moreover, we highlight the coupling parameter’s potential role in addressing the cosmic coincidence problem.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170036"},"PeriodicalIF":3.0,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}

引用次数: 0

A generalized Plebański-Demiański metric for non-vacuum stationary axisymmetric type D spacetime

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-15 DOI: 10.1016/j.aop.2025.170030

Hiroaki Nakajima , Ya Guo , Wenbin Lin

We study an stationary axisymmetric type D metric with the additional condition such that two real null tetrads are geodesic and shearfree, but without the vacuum or electrovacuum condition, neither asymptotic flatness assumption. We show that by choosing the coordinates appropriately, we obtain a generalization of the Plebański-Demiański (PD) metric. We also confirm how this metric naturally reduces to the original PD one by requiring the electrovacuum condition.

引用次数: 0

n-dimensional Weyl conformal tensor in a four-index gravitational field theory

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-13 DOI: 10.1016/j.aop.2025.170026

Frédéric Moulin

The Weyl conformal tensor is the traceless component of the Riemann tensor and therefore, as is known, the information it contains does not appear explicitly in Einstein’s equation. Following a rigorous mathematical treatment based on the variational principle, we will suggest that there exists a four-index gravitational field equation linearly containing the Weyl tensor closely related to a tidal gravitational field tensor whose components will be calculated. The new degrees of freedom, introduced via the n-dimensional Weyl tensor, will therefore clearly appear as additional constraints on the metric and we will demonstrate, among other things, that the cosmological constant appears as a natural solution of the four-index theory in the form of an integration constant which therefore does not need to be introduced ad hoc into a Lagrangian.

引用次数: 0

A constraint-preserving neural network approach for mean-field games equilibria

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-12 DOI: 10.1016/j.aop.2025.170027

Jinwei Liu , Lu Ren , Wang Yao , Xiao Zhang

Neural network-based methods have demonstrated effectiveness in solving high-dimensional Mean-Field Games (MFG) equilibria, yet ensuring mathematically consistent density-coupled evolution remains a major challenge. This paper proposes the NF-MKV Net, a neural network approach that integrates process-regularized normalizing flow (NF) with state-policy-connected time-series neural networks to solve MKV FBSDEs and their associated fixed-point formulations of MFG equilibria. The method first reformulates MFG equilibria as MKV FBSDEs, embedding density evolution into the equation coefficients within a probabilistic framework. Neural networks are then employed to approximate value functions and their gradients. To enforce volumetric invariance and temporal continuity, NF architectures impose loss constraints on each density transfer function. Theoretical analysis establishes the algorithm’s validity, while numerical experiments across various scenarios including traffic flow, crowd motion, and obstacle avoidance, demonstrate its capability in maintaining density consistency and temporal smoothness.

引用次数: 0

Stellar structure and stability in f(R) gravity: An analysis with the Karmarkar condition f(R)引力下的恒星结构和稳定性：利用卡尔马卡条件的分析

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-11 DOI: 10.1016/j.aop.2025.170032

Daud Ahmad, Um-e-Hafsa Asif, Maham Ilyas

We derive the EFEs for

f (R)

gravity within a spherically symmetric static spacetime, which allows us to determine the radial pressure, density and tangential pressure, as well as the stress–energy tensor for anisotropic compact stellar objects. The metric coefficients of the spherically symmetric static spacetime are determined using the Karmarkar condition (a constraint on the Riemann curvature tensor) specifically for the Carroll-Duvvuri-Trodden (CDT) model. The unknown metric coefficients are computed by applying matching conditions that compare the interior and exterior geometric solutions at the border of the stellar objects. These unknowns are expressed in terms of the mass and radius of the compact star being studied. Using these formulations, we analyze compact stars for their density and pressure evolution, TOV equations, EoS, sound speed and anisotropy factor. If these conditions are satisfied, a compact star is considered to be in a stable configuration. We have established the stability criteria for three compact stars with known observational data. This framework offers insights into the equilibrium and structural properties of compact stars under

f (R)

gravity. It can also be extended to analyze the stability properties of other compact stars in modified gravity theories.

我们推导了球对称静态时空中 f(R) 引力的 EFEs，从而可以确定各向异性紧凑恒星天体的径向压力、密度和切向压力以及应力能量张量。球形对称静态时空的度量系数是利用专门针对卡罗尔-杜维里-特罗登（CDT）模型的卡尔马卡条件（黎曼曲率张量的约束条件）确定的。未知度量系数是通过比较恒星天体边界的内部和外部几何解的匹配条件计算出来的。这些未知系数用所研究的紧凑恒星的质量和半径表示。利用这些公式，我们可以分析紧凑型恒星的密度和压力演变、TOV 方程、EoS、声速和各向异性因子。如果这些条件得到满足，则认为紧凑星处于稳定构型。我们利用已知的观测数据为三颗紧凑型恒星建立了稳定标准。这个框架提供了在f(R)引力作用下紧凑星的平衡和结构特性的见解。它还可以扩展到分析修正引力理论中其他紧凑星的稳定特性。

{"title":"Stellar structure and stability in f(R) gravity: An analysis with the Karmarkar condition","authors":"Daud Ahmad, Um-e-Hafsa Asif, Maham Ilyas","doi":"10.1016/j.aop.2025.170032","DOIUrl":"10.1016/j.aop.2025.170032","url":null,"abstract":"<div><div>We derive the EFEs for <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity within a spherically symmetric static spacetime, which allows us to determine the radial pressure, density and tangential pressure, as well as the stress–energy tensor for anisotropic compact stellar objects. The metric coefficients of the spherically symmetric static spacetime are determined using the Karmarkar condition (a constraint on the Riemann curvature tensor) specifically for the Carroll-Duvvuri-Trodden (CDT) model. The unknown metric coefficients are computed by applying matching conditions that compare the interior and exterior geometric solutions at the border of the stellar objects. These unknowns are expressed in terms of the mass and radius of the compact star being studied. Using these formulations, we analyze compact stars for their density and pressure evolution, TOV equations, EoS, sound speed and anisotropy factor. If these conditions are satisfied, a compact star is considered to be in a stable configuration. We have established the stability criteria for three compact stars with known observational data. This framework offers insights into the equilibrium and structural properties of compact stars under <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity. It can also be extended to analyze the stability properties of other compact stars in modified gravity theories.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170032"},"PeriodicalIF":3.0,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143825676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}

引用次数: 0

Varying Newton gravitational “constant” cosmology

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2025-04-07 DOI: 10.1016/j.aop.2025.170014

Clovis Jacinto de Matos , Nicolas Lori

We demonstrate that quantum random fluctuations of Newton’s “constant”,

G

, are required to allow the vacuum to radiate Hawking radiation when it is disturbed by a mass, whether it be a black hole or not. We deduce, from Heisenberg uncertainty principle, the maximum quantum fluctuation amplitude of an energy-dependent Newton gravitational “Constant”

G

. This allows us to deduce a cosmic law for the variation of

G

as a function of the cosmological redshift. Consequences for the Friedman–Lemaître–Robertson–Walker (FLRW) Model of the Universe are explored and the physical nature of the Dark Matter (DM) components of the cosmological fluid is revealed. It is also argued that oscillations of

G

in black holes are a new physical mechanism for the emission of Gravitational Waves (GWs). Thus, conversion of part of the black hole rest mass into GW energy, through this mechanism, should occur in all black holes present in Active Galactic Nuclei (AGN) accounting for their luminosity and for the Stochastic Gravitational Wave Background (SGWB) recently detected by Timing Pulsar Array (TPA) teams. The presented data analysis obtains the result that fluctuations of Newton “constant”

G

allow for explaining several Cosmology experimental results, such as: Hubble Tension, DM density, and fire wall paradox.

{"title":"Varying Newton gravitational “constant” cosmology","authors":"Clovis Jacinto de Matos , Nicolas Lori","doi":"10.1016/j.aop.2025.170014","DOIUrl":"10.1016/j.aop.2025.170014","url":null,"abstract":"<div><div>We demonstrate that quantum random fluctuations of Newton’s “constant”, <span><math><mi>G</mi></math></span>, are required to allow the vacuum to radiate Hawking radiation when it is disturbed by a mass, whether it be a black hole or not. We deduce, from Heisenberg uncertainty principle, the maximum quantum fluctuation amplitude of an energy-dependent Newton gravitational “Constant” <span><math><mi>G</mi></math></span>. This allows us to deduce a cosmic law for the variation of <span><math><mi>G</mi></math></span> as a function of the cosmological redshift. Consequences for the Friedman–Lemaître–Robertson–Walker (FLRW) Model of the Universe are explored and the physical nature of the Dark Matter (DM) components of the cosmological fluid is revealed. It is also argued that oscillations of <span><math><mi>G</mi></math></span> in black holes are a new physical mechanism for the emission of Gravitational Waves (GWs). Thus, conversion of part of the black hole rest mass into GW energy, through this mechanism, should occur in all black holes present in Active Galactic Nuclei (AGN) accounting for their luminosity and for the Stochastic Gravitational Wave Background (SGWB) recently detected by Timing Pulsar Array (TPA) teams. The presented data analysis obtains the result that fluctuations of Newton “constant” <span><math><mi>G</mi></math></span> allow for explaining several Cosmology experimental results, such as: Hubble Tension, DM density, and fire wall paradox.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170014"},"PeriodicalIF":3.0,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}

引用次数: 0

下一页尾页

类型

全部化学•材料生命科学医学物理工程技术环境•农林材料科学地球科学法学管理学化学环境科学与生态学计算机科学教育学经济学农林科学人文科学生物学数学物理与天体物理心理学综合性期刊其他工业工程理学历史学农学文学信息工程

数据库

全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley

期刊

Annals of Physics

全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.

﹀