arXiv subjects

Manisha Kumari

Publications and source records attributed to Manisha Kumari.

12 recordsLinked to original sources

arXiv2026

Structural Classification of a Graph with Independence Number Five

The independence polynomial of a simple graph $G$ is given by $ I_G(z) = i_0 + i_1 z + i_2 z^2 + \cdots + i_\alpha z^\alpha $, where $ i_\alpha $ denotes the size of a maximum independent set, also called the independence number of the graph. The independence polynomial has the notable feature of being essentially closed under graph composition (lexicographic product). In this paper, we determine the independence polynomials of size five. For a disconnected graph $G$, we exploit the fact that $I_G(z)$ factors as the product of the independence polynomials of the connected components of $G$. Furthermore, we classify all independence polynomials that can occur for such a disconnected graph $G$ and, by examining their component structures, we characterize the disconnected configurations that may arise.

math.CO↗

arXiv2026

Results on the postsingular set of compositions of transcendental entire functions

In this paper, we study the dynamics of commuting transcendental entire functions $f$ and $g$, where $g=af^p+b$ with $a,b\in\mathbb{C}$, $p\in\mathbb{N}$, and $a\neq 0,1$. We examine how singular values and postsingular sets behave under composition. Within this framework, we show that if one of the functions is postsingularly finite (respectively, postsingularly bounded, hyperbolic), then the other function also has this property, and so do their compositions. As an application, we derive several results concerning transcendental semigroups, including situations in which Eremenko's conjecture is satisfied.

math.DS↗

arXiv2026

Equality of the dynamical sets of two commuting transcendental entire functions

In this paper, we study the dynamics of commuting transcendental entire functions $f$ and $g$, where $g$ is of the form $af^p + b$ with $a,b \in \C$, $p \in \N$, and $a \neq 0,1$. We establish that the escaping sets, filled Julia sets, and bungee sets of $f$ and $g$ all coincide. As an immediate consequence, we obtain in particular that the Julia sets of $f$ and $g$ are identical. Our theorem extends the 1998 result of Poon and Yang. Furthermore, following Wang and Yang, we consider a non-constant polynomial $Q$ and permutable entire functions $f$ and $g$ satisfying the relation $Q(g)=aQ(f)+b$, where $a(\neq 0,1), b \in \C$. In this more general setting, we also prove that the escaping sets, the filled Julia sets, and the bungee sets of $f$ and $g$ are equal.

math.DS↗

arXiv2026

Radial Oscillations and Stability of Neutron Stars with Antikaon Condensates

Radial oscillations provide a direct probe of the stability and compressibility of neutron stars and are highly sensitive to the equation of state of dense matter. In this work, we investigate the impact of antikaon condensates on the radial oscillation properties of neutron stars. We model neutron star matter using equations of state with a wide range of stiffness. For this purpose, both non-linear and density-dependent relativistic mean-field frameworks are employed to develop equations of state that are consistent with current astrophysical constraints. We further consider the emergence of antikaon condensates ($K^-$ and $\bar{K}^0$) in the stellar core, which modifies the pressure--energy density relation of dense matter. We find that the nature of the transition from nuclear matter to the condensed phase is sensitive to the antikaon optical potential depth and underlying equation of state. We compute the fundamental and higher-order radial oscillation modes for neutron stars containing antikaon condensates over a range of antikaon optical potential depths. Our results demonstrate that the antikaon optical potential depth plays a decisive role in governing the systematic shifts observed in the radial oscillation frequencies, while also significantly reducing the stability limits and maximum masses of neutron stars. These imprints of antikaon condensation on radial oscillation spectra provide a promising avenue for future multi-messenger observations and high-frequency gravitational-wave searches to directly probe and constrain the internal composition and equation of state of neutron stars.

nucl-th↗

arXiv2026

Enhanced sensitivity to the $H \to Z\gamma \to \ell^+\ell^-\gamma$ decay at the LHC using machine learning and novel kinematic observables

At LHC energies, the Drell--Yan ($Z/\gamma^{*}$) processes have a substantially large cross section. Their di-lepton ($\ell^+\ell^-$) final state contributes significantly to many resonant signal regions, making them one of the dominant backgrounds in numerous physics analyses. The study focuses on improving the discrimination and suppression of the $Z/\gamma^{*} \rightarrow \ell^{+}\ell^{-}$ background from the $H \rightarrow Z\gamma \rightarrow \ell^{+}\ell^{-}\gamma$ signal at $\sqrt{s}=13~\text{TeV}$ by leveraging Monte Carlo simulated data. The analysis introduces physics-motivated correlated observables derived from the two-dimensional $(P_{\mathrm{Higgs}}, \theta_{Z\gamma})$ plane. These observables encode differences in angular and momentum information to enhance signal--background separation while maintaining high signal efficiency. We present a multivariate analysis (MVA) employing a Boosted Decision Tree (XGBoost) classifier. By incorporating additional physics-motivated correlated observables, the classifier achieves measurable improvements in performance. A significant increase in the area under the ROC curve (AUC) is observed in both the electron and muon channels, demonstrating the effectiveness of the expanded feature set. Further, optimised background rejection using $(P_{\mathrm{Higgs}}, \theta_{Z\gamma})$ plane increases the signal-to-background ratio to 2.1\% and 3.4\% for the electron and muon channel respectively near the Higgs mass. This work demonstrates that combining kinematic correlations with interpretable multivariate techniques leads to improved sensitivity and robust background rejection. The approach is flexible and can be readily applied to a wide range of analyses, including rare Higgs decays, resonant searches, and studies beyond the Standard Model.

hep-ph↗

arXiv2025

On Dynamics of the Bungee set and the Filled Julia set of a Transcendental Semigroup

We have introduced the notion of the bungee set and the filled Julia set of a transcendental semigroup using Fatou-Julia theory. Numerous results of the bungee set of a single transcendental entire function have been generalized to a transcendental semigroup. For a transcendental semigroup having no oscillatory wandering domain, we provide some conditions for the containment of the bungee set inside the Julia set. The filled Julia set has also been explored in the context of a transcendental semigroup, and some of its properties are discussed. We have also explored some new features of the escaping set of a transcendental semigroup. The bungee set of a conjugate semigroup and an abelian transcendental semigroup has also been investigated.

math.DS↗

arXiv2025

Carbon Nitride: Physical properties and Applications

Graphitic carbon nitride has emerged as a versatile, metal-free semiconductor with applications spanning over broad range of domains encompassing energy storage, environmental remediation and sensing. Despite significant progress in recent years, there remains a lack of comprehensive discussion on the graphitic carbon nitride's evolving role in next-generation technologies and the engineering strategies needed to overcome existing challenges. In this review article, the critical assessment of the physicochemical properties of graphitic carbon nitride which holds potential to enable its function across diverse applications has been elucidated. Current advances in doping, heterojunction formation and composite engineering that enhances its catalytic and electronic performance has been summarized. The article also presents future research directions to unlock the full potential of graphitic carbon nitride as a useful material in sustainable and intelligent systems.

cond-mat.mtrl-sci↗

arXiv2025

Strange quark stars in modified vector MIT bag model: role of $\rho$ and $\phi$ mesons

In the present work, we study the properties of strange quark stars (SQSs) using the vector MIT bag model with modification in vector channels. Unlike recent studies which only consider interactions through $\omega$ mesons, we analyze the possibility of $\rho$ and $\phi$ vector channels. We consider two types of higher order non-linear self-interaction terms for the vector mesons. With these modifications, we computed the equation of state (EoS) and mass-radius of strange stars for different values of vector coupling strength. Considerations of $\rho$ and $\phi$ vector mesons along with $\omega$, as well as an increase in the strength of vector coupling $g_v$, enhance the mass and radius of SQSs. For two kind of non-linear self-interactions of vector mesons considered in the present calculations, we observe the SQSs with maximum mass $2.48$ and $2.42 M_{\odot}$ for the vector coupling $g_v = 3$. Corresponding radii of these SQSs are found to be $12.27$ and $12.18$ km, respectively. We also calculate the tidal deformability parameter $\Lambda$, the Love number $k_2$ and the gravitational redshift of SQSs. The tidal deformability parameter $\Lambda$ is observed to increase with $g_v$, with appreciable effect for low mass stars.

hep-ph↗

arXiv2024

Dynamics of Hot QCD Matter 2024 -- Hard Probes

The hot and dense QCD matter, known as the Quark-Gluon Plasma (QGP), is explored through heavy-ion collision experiments at the LHC and RHIC. Jets and heavy flavors, produced from the initial hard scattering, are used as hard probes to study the properties of the QGP. Recent experimental observations on jet quenching and heavy-flavor suppression have strengthened our understanding, allowing for fine-tuning of theoretical models in hard probes. The second conference, HOT QCD Matter 2024, was organized to bring the community together for discussions on key topics in the field. This article comprises 15 sections, each addressing various aspects of hard probes in relativistic heavy-ion collisions, offering a snapshot of current experimental observations and theoretical advancements. The article begins with a discussion on memory effects in the quantum evolution of quarkonia in the quark-gluon plasma, followed by an experimental review, new insights on jet quenching at RHIC and LHC, and concludes with a machine learning approach to heavy flavor production at the Large Hadron Collider.

nucl-ex↗

arXiv2023

Piezo-resistive pressure sensor based on CVD-grown ZnO nanowires on Polyethylene Tetrathalate substrate

Recent developments in the domain of electronic materials and devices have attracted the interest of researchers toward flexible and printable electronic components like organic transistors, printable electrodes and sensors. Zinc Oxide (ZnO) nanowires (NWs) possess a number of excellent properties like high mobility, large exciton binding energy and the direct-band gap in addition to large piezoelectric coefficients. Here, we report on flexible piezo-resistive sensor based on Indium tin oxide (ITO)-coated Polyethylene tetrathalate (PET) substrate. The device shows sensitivity in terms of change in resistance from 100 Ω to 2.4 KΩ at an applied potential of 5V upon bending from flat to 95 degrees. The 1-D nanowire flexible device in its flat state shows saturated output current. We observed ten folds enhanced variation as compared to previous reports. Improved sensitivity was observed in our experiments due to fewer defects in CVD-grown NWs as compared to others where hydrothermally grown nanowires were used. The methodology of device fabrication reported here requires less time and enables efficient devices for the realization of flexible and wearable technology.

physics.ins-det↗

arXiv2022

$η$ meson in strange magnetized matter

The in-medium properties of $η$ mesons are studied in hot and dense isospin asymmetric strange magnetized matter using the chiral SU(3) hadronic mean-field model. The scalar and vector density of baryons are expressed in terms of thermal distribution functions at finite temperature and magnetic field and have dependence on the scalar fields $σ$, $ζ$, and $δ$ through the effective mass of baryons and the dependence on the vector fields $ω, ρ$, and $ϕ$ through the effective chemical potential. The properties of $η$ mesons get modified in a hot and dense magnetized environment through the medium-modified nucleons and hyperons. The negative mass shift obtained gives rise to optical potential, which is attractive in the medium and suggests a possibility of $η$-mesic bound states formation. The addition of hyperons in the medium enhances the attractive interactions and causes an increased negative mass shift for $η$ mesons.

hep-ph↗

arXiv2020

Quark Matter within Polyakov Chiral SU(3) Quark Mean Field Model at Finite Temperature

Thermodynamical properties of asymmetric strange quark matter using the Polyakov Chiral $\text{SU(3)}$ quark mean field (PCQMF) model at finite temperature and chemical potential have been investigated. Within the PCQMF model, the properties of quark matter are calculated through the scalar fields $σ$, $ζ$, $δ$ and $χ$, the vector fields $ω$, $ρ$ and $ϕ$ and the Polyakov loop fields $Φ$ and $\barΦ$. The isospin splitting of constituent quark masses is observed at large isospin asymmetry. The effect of temperature and strangeness fraction on energy per baryon and equation of state is found to be appreciable in quark matter. The effect of the Polyakov loop dynamics on several thermodynamical bulk quantities such as energy density, entropy density, and trace anomaly is presented and compared with recent lattice QCD results.

hep-ph↗