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Arvind Kumar

Publications and source records attributed to Arvind Kumar.

At least 55 records · Page 3Linked to original sources

$D$ and $D^*$ mesons in isospin asymmetric nuclear medium

We investigate the properties of pseudoscalar $D$ and vector $D^*$ mesons in an isospin asymmetric nuclear medium using a hybrid approach that integrates the light-front quark model with the chiral SU(3) quark mean field model. The influence of isospin asymmetric nuclear medium is examined by utilizing the in-medium quark masses derived from the chiral SU(3) quark mean field model as an input in the light-front quark model to study the medium modification of $D$ mesons. We examine the impact of isospin asymmetry and baryon density at zero and finite temperature on the effective masses, weak decay constants, and distribution amplitudes of the pseudoscalar mesons $D^0$, $D^+$, $D_s$, and the vector mesons $D^{0*}$, $D^{+*}$, and $D_s^*$. Our results indicate significant medium-induced changes for pseudoscalar $D$ and vector $D^*$ mesons having $u/d$ as one of their constituent quarks, while a comparatively reduced effect is observed for mesons containing a strange quark. In contrast to temperature and isospin asymmetry, changes in the baryon density of the nuclear medium have a larger effect on different properties of $D$ and $D^*$ mesons.

hep-ph

$ϕ$ meson properties in dense resonance matter at finite temperature

The effective mass and decay width of the $ϕ$ meson in the isospin asymmetric hot and dense resonance matter are studied using the effective Lagrangian framework considering the $ϕK \bar K $ interactions at one-loop level. In addition to spin$-1/2$ octet baryons, we consider the effect of resonances $Δ^{++,+,0,-}, Σ^{*\pm,0},Ξ^{*0,-}, Ω^{-}$, on the properties of $ϕ$ meson. The in-medium effects on the $ϕ$ meson properties are simulated through the effective masses of kaons and antikaons computed using the chiral SU(3) hadronic mean field model in the presence of resonance baryons. The loop integral appearing in the computation of $ϕ$ meson self energies is regularized using the dipole form factor with a cutoff parameter. The presence of resonance baryons within the medium at finite temperature is observed to significantly modify the effective mass and decay width of $ϕ$ mesons. Examining the $ϕ$ meson masses and decay width within a dense medium is anticipated to be essential for understanding experimental results from heavy-ion collision experiments.

hep-ph

Nature's Insight: A Novel Framework and Comprehensive Analysis of Agentic Reasoning Through the Lens of Neuroscience

Autonomous AI is no longer a hard-to-reach concept, it enables the agents to move beyond executing tasks to independently addressing complex problems, adapting to change while handling the uncertainty of the environment. However, what makes the agents truly autonomous? It is agentic reasoning, that is crucial for foundation models to develop symbolic logic, statistical correlations, or large-scale pattern recognition to process information, draw inferences, and make decisions. However, it remains unclear why and how existing agentic reasoning approaches work, in comparison to biological reasoning, which instead is deeply rooted in neural mechanisms involving hierarchical cognition, multimodal integration, and dynamic interactions. In this work, we propose a novel neuroscience-inspired framework for agentic reasoning. Grounded in three neuroscience-based definitions and supported by mathematical and biological foundations, we propose a unified framework modeling reasoning from perception to action, encompassing four core types, perceptual, dimensional, logical, and interactive, inspired by distinct functional roles observed in the human brain. We apply this framework to systematically classify and analyze existing AI reasoning methods, evaluating their theoretical foundations, computational designs, and practical limitations. We also explore its implications for building more generalizable, cognitively aligned agents in physical and virtual environments. Finally, building on our framework, we outline future directions and propose new neural-inspired reasoning methods, analogous to chain-of-thought prompting. By bridging cognitive neuroscience and AI, this work offers a theoretical foundation and practical roadmap for advancing agentic reasoning in intelligent systems. The associated project can be found at: https://github.com/BioRAILab/Awesome-Neuroscience-Agent-Reasoning .

q-bio.NC

Valence quark properties of charged kaons in symmetric nuclear matter

We calculate the leading twist valence quark transverse momentum parton distribution functions (TMDs) and generalized parton distributions (GPDs) of the charged kaons in an isospin symmetric nuclear matter at zero temperature by employing the light-cone quark model. The medium modifications of the unpolarized TMDs and GPDs have been carried out by taking inputs from the chiral SU($3$) quark mean field model. The electromagnetic form factors (EMFFs) and charge radii have been calculated from the unpolarized GPDs for both the vacuum and in-medium cases. We have also calculated the variation of average transverse and longitudinal momenta for the active quark at high baryonic density. These results are found to be in good agreement with the available experimental data as well as with other model predictions.

hep-ph

Impact of isospin asymmetric nuclear medium on pseudoscalar and vector $B$ mesons

In this study, using the light-front quark model, we examine how an isospin asymmetric nuclear medium affects the properties of pseudoscalar ($B^+, B^0$) and vector ($B^{\ast+}, B^{\ast0}$) mesons under different temperature values and degrees of isospin asymmetry. To simulate the in-medium modifications of the constituent quark masses, we employ the chiral SU(3) quark mean field model. Our analysis focuses on evaluating the effective masses, weak decay constants, and distribution amplitudes (DAs) of $B$ mesons in isospin-asymmetric nuclear matter. The calculated vacuum values of the $B$ meson masses and decay constants show good agreement with existing experimental data, validating our approach to study the medium effects within the same framework.

nucl-th

Magnetic moments of $\frac{1}{2}^-$ baryon resonances in hot and dense strange hadronic matter

This work primarily focusses on determining the magnetic moments of $\frac{1}{2}^-$ baryon resonances in the presence of hot and dense hadronic matter. In the chiral $SU(3)$ quark mean field model approach, we have essentially accounted for the effects on in-medium scalar meson fields to investigate the impact of high densities on the in-medium baryon masses and their constituent quarks. In light of chiral constituent quark model $χ$CQM, we have calculated the magnetic moments of $\frac{1}{2}^-$ baryon resonances and scrutinized the effects due to its internal constituents: the valence quarks, sea quarks and the orbital moment of sea quarks. Furthermore, we have investigated the effective baryonic magnetic moments for the finite magnitudes of isospin asymmetry and strangeness fraction.

hep-ph

Transition magnetic moments for $Δ\rightarrow p$ transition in asymmetric nuclear matter

In the present work we calculate the transition magnetic moments for the radiative decays of $Δ$ baryon to proton $(Δ\rightarrow p)$ in isospin asymmetric nuclear medium at finite temperature using chiral SU(3) quark mean field model. Within the framework of chiral SU(3) mean field model, the properties of baryons in asymmetric medium are modified through the exchange of scalar fields $(σ, ζ, δ)$ and vector fields $(ω, ρ)$. The isospin asymmetry of medium is taken into account via scalar-isovector field $δ$ and vector iso-vector field $ρ$. We calculate the in-medium masses of quarks, proton and $Δ$ baryon in asymmetric matter within the chiral SU(3) quark mean field model and use these as input in the chiral constituent quark ($χ$CQM) model to calculate the in-medium transition magnetic moments for $(Δ\rightarrow p)$ transition for different values of isospin asymmetry of hot and dense medium. For calculating the magnetic moments of baryons, contributions of valence quarks, quark sea and orbital angular momentum of quark sea are considered in these calculations.

nucl-th

A study of bound states of $η, η^{'}, D^{0}$, $\bar{D^{0}}$, $B^{0}$, $\bar{B^{0}}$, $\bar{K^{0}}$ and $ϕ$ mesons with light and heavy nuclei within chiral SU(3) model

In the present work we explore the possibilities of the formation of bound states of neutral pseudoscalar mesons $η, η^{'}, D^{0}$, $\bar{D^{0}}, B^{0}, \bar{B^{0}}$ and $\bar{K^{0}}$ and the vector meson $ϕ$, with the nuclei $^{12}$C, $^{16}$O, $^{40}$Ca and $^{208}$Pb, calculating their binding energy and absorption decay width. To calculate the optical potentials of these mesons in different nuclei under study, we shall use the chiral SU(3) hadronic mean field model, in which the properties of nucleons in the medium are modified through the scalar isoscalar fields $σ$ and $ζ$ and the scalar-isovector field $δ$. The scalar-isovector field $δ$ account for the finite isospin asymmetry of different nuclei having asymmetry in number of protons and neutrons. The binding energy and absorption decay width of mesons are calculated for the ground state and some of possible excited states of the nuclei. In the chiral SU(3) model, the mesons $ η, D^{0}$, $\bar{D^{0}}, B^{0}, \bar{B^{0}}$ and $\bar{K^{0}}$ are observed to have significant negative mass shift upto nuclear saturation density which lead to the possibility of the bound states at least for ground states and some of excited states in case of heavy nuclei. For the pseudoscalar singlet $η^{'}$ and the vector meson $ϕ$ the mass shift obtained are found to be small and bound states are not formed. The present calculations are compared with different studies available in the field and will be useful in understanding the outcomes from different experimental facilities focusing on this area of research.

nucl-th

Secrecy Analysis of Energy-Harvesting Backscatter Communications with Tag Selection in Nakagami-m Fading

Backscatter communication is an energy-efficient technique that enables sustainable wireless connectivity with a minimal environmental impact. In this paper, the secrecy performance of practical non-linear energy-harvesting backscatter communications with various tag selection schemes is analyzed in Nakagami-m fading channels. We consider four tag selection schemes: sub-optimal, minimal eaves-dropping, optimal, and random tag selection. Closed-form expressions for secrecy outage probability (SOP) and intercept probability (IP) are derived for each scheme, along with asymptotic expressions to provide deeper insights. The impact of system and fading parameters on SOP and IP is investigated, and simulation results are presented to validate the accuracy of the analytical expressions.

cs.IT

Modern nuclear and astrophysical constraints of dense matter in a renormalized chiral approach

We explore the Quantum Chromodynamics (QCD) phase diagram's complexities, including quark deconfinement transitions, liquid-gas phase changes, and critical points, using the chiral mean-field (CMF) model that is able to capture all these features. We introduce a vector meson renormalization within the CMF framework, enabling precise adjustments of meson masses and coupling strengths related to vector meson interactions. Performing a new fit to the deconfinement potential, we are able to replicate recent lattice QCD results, low energy nuclear physics properties, neutron star observational data, and key phase diagram features as per modern constraints. This approach enhances our understanding of vector mesons' roles in mediating nuclear interactions and their impact on the equation of state, contributing to a more comprehensive understanding of the QCD phase diagram and its implications for nuclear and astrophysical phenomena.

nucl-th

Interacting mesons as degrees of freedom in a chiral model

We study the equation of state of hot and dense hadronic matter using an extended Chiral Mean Field (CMF) model framework where the addition is the inclusion of interactions of thermally excited mesons. This is implemented by calculating the in-medium masses of pseudoscalar and vector mesons, obtained through the explicit chiral symmetry-breaking and vector interaction terms in the Lagrangian, respectively, prior to applying the mean-field approximation. As a result, the in-medium meson contributions generate a feedback term to the CMF's equations of motion, which then modifies the equation of state. With this improvement, we quantify the effect on the equation of state of strongly interacting matter through comparisons with state-of-the-art lattice QCD results and other hadronic models like the Hadron Resonance Gas model. We find that the results of the updated hadronic CMF model with an improved meson description (mCMF) provide a better agreement with lattice-QCD data for thermodynamic state variables across a wide range of temperatures and baryon chemical potentials.

nucl-th

Effect of nuclear medium on the spatial distribution of pions

We calculate the valence quark generalized parton distributions (GPDs) of the lightest pseudoscalar meson, pion, in an isospin asymmetric nuclear matter at zero temperature by employing a light-cone quark model. The medium modifications in the unpolarized GPDs have been incorporated by taking inputs from the chiral SU($3$) quark mean field model. The electromagnetic form factors (EMFFs) and charge radii have been calculated for both the vacuum and in-medium cases. These results are found to be in agreement with the available experimental data and other model predictions.

hep-ph

Finite size effects on the transport coefficients of strongly interacting QCD matter

The role of finite volume effects on the various transport coefficients of strongly interacting quark matter is analyzed in the Polyakov chiral SU(3) quark mean field model (PCQMF) at finite temperatures and chemical potentials incorporating fermionic vacuum term. Using a non-zero lower momentum cutoff and two different forms of the Polyakov loop potentials with quark back reaction, we study the following viscous properties: specific shear viscosity ($η/s$), normalized bulk viscosity ($ζ_b/s$), and conductivity properties: electrical conductivity ($σ_{el}/T$), thermal conductivity ($κ/T^2$). Along with this, some essential thermodynamic quantities in the context of transport properties, such as the square of the speed of sound ($c_s^2$) and the specific heat ($c_v$) at a constant volume, are computed. Finite size effects are applied to the vacuum term and its influence on the effective quark masses, thermodynamic quantities, and transport coefficients is studied. The temperature dependence of the transport coefficients is obtained through the kinetic theory approach with the relaxation time approximation. The size of the system has been found to have significant effects on all transport coefficients. We find that all the transport coefficients increase as the size of the system is reduced. We have also studied the specific sound channel $(η+3ζ_b/4)/s$ and the bulk-to-shear viscosity ratio $ζ_b/η$. The effect of finite size is found to be more prominent in the transition region and vanishes at high $T$. The transition temperature $T_χ$ is found to decrease as the system size (characterized by $R$) decreases. At finite chemical potentials, $T_χ$ is shifted to lower values compared to the case of the vanishing chemical potential.

hep-ph

Resurgence number and convex body associated to pairs of graded families of ideals

We discuss how to understand the asymptotic resurgence number of a pair of graded families of ideals from combinatorial data of their associated convex bodies. When the families consist of monomial ideals, the convex bodies being considered are the Newton-Okounkov bodies of the families. When ideals in the second family are classical invariant ideals, for instance, determinantal ideals or ideals of Pfaffians, these convex bodies are constructed from the associated Rees packages.

math.AC

Impact of nonextensivity on the transport coefficients of strongly interacting QCD matter

Tsallis nonextensive statistics is applied to study the transport coefficients of strongly interacting matter within the Polyakov chiral SU(3) quark mean field model (PCQMF). Nonextensivity is introduced within the PCQMF model through a dimensionless $q$ parameter to examine the viscous properties such as shear viscosity ($η$), bulk viscosity ($ζ_b$), and conductive properties, including electrical conductivity ($σ_{el}$) and thermal conductivity ($κ$). Additionally, some key thermodynamic quantities relevant to the transport coefficients, like the speed of sound ($c_{sq}^2$) and specific heat at constant volume ($c_{vq}$), are calculated. The temperature dependence of the transport coefficients is explored through a kinetic theory approach with the relaxation time approximation. The results are compared to the extensive case where $q$ approaches 1. The nonextensive $q$ parameter is found to have a significant effect on all transport coefficients. We find that the nonextensive behaviour of the medium enhances both specific shear viscosity $η/s_q$ as well as conductive coefficients $σ_{el}/T$ and $κ/T^2$. In contrast, the normalised bulk viscosity $ζ_b/s_q$ is found to decrease as the nonextensivity of the medium increases. We have also studied the transport coefficients for finite values of chemical potentials. The magnitude of $η$, $σ_{el}$, and $κ$ increases at lower temperatures while $ζ$ is found to decrease for systems with non-zero chemical potential.

hep-ph

Charmonium production in hot magnetized hyperonic matter -- effects of baryonic Dirac sea and pseudoscalar-vector meson mixing

We investigate the medium modifications of the masses of pseudoscalar open charm ($D$ and $\bar D$) mesons and the charmonium state ($ψ(3770)$) in hot isospin asymmetric strange hadronic medium in the presence of an external magnetic field within a chiral effective model. The in-medium partial decay widths of $ψ(3770)$ to $D\bar D$ mesons are computed from the in-medium masses of the initial and final state mesons. These are computed using two light quark pair creation models - (I) the $^3P_0$ model and (II) a field theoretical (FT) model of composite hadrons with quark (and antiquark) constituents. The production cross-sections of $ψ(3770)$, arising from scattering of the $D$ and $\bar D$ mesons, are computed from the relativistic Breit-Wigner spectral function expressed in terms of the in-medium masses and the decay widths of the charmonium state. The effects of the magnetic field are considered due to the Dirac sea (DS) of the baryons, the mixing of the pseudoscalar and vector meson (PV mixing) and the Landau level contributions for the charged hadrons. The production cross-sections of $ψ(3770)$ arising due to scattering of $D^+D^-(D^0\bar{D}^0)$ mesons in the hot magnetized strange hadronic matter are observed to have distinct peak positions, when the magnetic field is large, due to the mass difference of the transverse and longitudinal components of $ψ(3770)$, arising from PV mixing. These can have observable consequences on the dilepton spectra and the production of the charm mesons in ultra-relativistic peripheral heavy ion collision experiments, where the produced magnetic field is huge.

hep-ph

Effect of Asymmetric Nuclear Medium on the Valence Quark Structure of the Kaons

The role of asymmetric nuclear medium on the properties of kaon is investigated at zero and finite temperature employing a hybrid approach integrating the light cone quark model (LCQM) and the chiral SU(3) quark mean field (CQMF) model. The in-medium quark masses are calculated within the CQMF model and are used as inputs to study the medium modifications in the kaon properties. In particular, we have analysed the impact of baryonic density, isospin asymmetry and temperature on the weak decay constant, distribution amplitudes (DAs) and parton quark distributions (PDFs) of valence quark structure of kaons. The effects of isospin asymmetry on the kaon doublet $K =\left(\begin{array}{c} K^{+} \\ K^{0} \end{array} \right)$ and antikaon doublet $\bar{K}$= ($K^-, \bar{K}^0$) are also studied. In order to compare with future experiments, we have also evolved the in-medium DAs and PDFs of kaons to $Q^2=16$ GeV$^2$. As compared to the temperature and isospin asymmetry, change in baryonic density of the nuclear medium makes more significant changes to the DAs and PDFs of kaons.

hep-ph

Certain squarefree levels of reducible modular mod$\,\ell$ Galois representations

Let $k \ge 2$ be an even integer, $ \ell \ge \max\{5, k-1\} $ be a prime, and $N$ be a squarefree positive integer. It is known that if the $\rm{mod}\,\ell$ Galois representation $\overlineρ_f$ associated with a newform $f$ of weight $k$, level $N$, and trivial nebentypus is reducible, then $\overlineρ_f \simeq 1 \oplus \overlineχ_\ell^{k-1}$, up to semisimplification, where $\overlineχ_\ell^{}$ is the $\rm{mod}\,\ell$ cyclotomic character. In this paper, we determine the necessary and sufficient conditions under which the $\rm{mod}\,\ell$ representation $1 \oplus \overlineχ_\ell^{k-1}$ arises from a newform of weight $k$, level $N$ with exactly two prime factors with specified Atkin-Lehner eigenvalues. Specifically, this proves a conjecture of Billerey and Menares when $N$ is a product of two primes under some mild assumption. As an application, we show that for any $\ell\ge 5$ and $k=2$ or $\ell+1$, there exist a large class of distinct primes $p$ and $q$ such that the $\rm{mod}\,\ell$ representation $1 \oplus \overlineχ_\ell^{k-1}$ arises from a newform of weight $k$ and level $pq$ with explicit Atkin-Lehner eigenvalues.

math.NT