arXiv subjects

Narmin Nasibova

Publications and source records attributed to Narmin Nasibova.

6 recordsLinked to original sources

arXiv2026

Bound State Solutions of the Relativistic Finite-difference Equation for the Ring-shaped Quesne Oscillator Potential

We solve exactly the relativistic finite-difference equation for the quantum three-dimensional ring-shaped Quesne oscillator potential. Our investigation is based on a finite-difference version of relativistic quantum mechanics. So-called relativistic configurational r-space is a key concept here. We show that the radial wavefunctions and angular wavefunctions are expressed through the continuous dual Hahn polynomials and Jacobi polynomials, respectively. A discrete energy spectrum has been found. The radial wave functions and energy spectrum have the correct nonrelativistic limit. We also build a dynamical symmetry group SU (1, 1) for the radial part of the equation of motion, which allows us to find the energy spectrum purely algebraically.

quant-ph↗

arXiv2025

Pion Phenomenology from the Thermal Soft-Wall Model of Holographic QCD

Within the framework of the thermal soft-wall model of AdS/QCD, we investigate phenomenological properties of pions at finite temperature. This includes the electromagnetic (EM) form factor $F_π(Q^{2}, T)$, the thermal mass $M_π(T)$, charge radius $r_π(T)$, the generalized parton distribution (GPD) $H_π(x, Q^{2}, T)$, the charge density $ρ_π(b, T)$ of the pion, the pion-nucleon coupling constant $g_{πNN}(T)$, and pion-$Δ$ baryon coupling constant $g_{πΔΔ}(T)$ coupling constant at finite temperature. The thermal pion form factor is extrapolated from the zero-temperature case. Subsequently, the GPD is obtained at finite temperature from this form factor. The above-mentioned quantities were analyzed using a thermal dilaton field in the five-dimensional AdS action. Moreover, we determine the theoretical expression for the temperature-dependent pion-nucleon coupling constant, and the pion-$Δ$ baryon coupling constant using thermal profile functions of the nucleon, $Δ$ baryon and the pion. Our results show that the values of these quantities decrease with increasing temperature and vanish near the critical temperature $T_c$; except for the pion radius, which diverges at $T_c$. Our results reproduce expected features of low-energy hadron dynamics, thus validating the phenomenological utility of the thermal soft-wall model.

hep-ph↗

arXiv2023

Axial-vector form factor of nucleons at finite temperature from the AdS/QCD soft-wall model

The axial-vector form factor of the nucleons is studied at a finite temperature using the holographic soft-wall model with the thermal dilaton field. We use the bulk interaction action known from the zero temperature case and apply the profile functions of fields thermalized by the interaction with the thermal dilaton field. The dependence of the axial form factor on the square of the transferred momentum and the temperature is plotted for the ground and excited states of the nucleons.

hep-ph↗

arXiv2023

Isospin symmetry of $ω$ meson in the soft-wall model of holographic QCD at finite temperature

Coupling constants of $ρ$- and $ω$- meson-nucleon are related with each other by isospin relation. In present work, it is aimed at studying the violation (if it exists) of isospin symmetry of the $ω$-meson and to study the temperature dependence of $ω$-meson-nucleon-delta and $ω$-meson-delta coupling constants using the soft-wall model of holographic QCD. Firstly, the coupling constants are obtained by applying the profile functions of the vector and fermion fields to the model at a finite temperature. The interaction Lagrangian is written, including the minimum and magnetic interactions of vector and fermion fields which is defined in the bulk of the 5-dimensional AdS space-time. Secondly, the temperature dependence of the coupling constants $g_{ωN N}(T)$, $g_{ωΔΔ}(T)$ and $g_{ωN Δ}(T)$ has been plotted. Comparing $g_{ωN N}(T)$ with the coupling constant $g_{ρNN}(T)$, it obtained that the isospin symmetry of the omega meson is not violated at the finite temperature. It is also observed that the coupling constants of the $ω$ vector meson with baryons decreases with increasing temperature, and this coupling constant becomes zero near the Hawking phase transition temperature.

hep-ph↗

arXiv2022

Meson-$Δ$ and meson-nucleon-$Δ$ transition coupling constants in the soft-wall model of holographic QCD at finite temperature

In this paper, minimal coupling constants of meson-$Δ$ baryon and meson-nucleon to $Δ$ baryon transition have been investigated in the AdS/QCD soft-wall model at finite temperature limits. Initially, the right and left profile functions of $Δ$ baryons have been calculated using the Rarita-Schwinger field in this model. After this, coupling constants have been written by taking into account the profile functions of thermal hadrons according to the zero-temperature case. Then, the temperature dependence graphs are plotted for strong couplings $g_{ρΔΔ}(T)$, $g_{a_{1} ΔΔ}(T)$ and $g_{ρN Δ}(T)$. As a result, it has been observed by an increase in the temperature, values of the minimal coupling constants decreased and approached zero nearby Hawking temperature.

hep-ph↗

arXiv2021

Temperature dependence of $ρ$ meson-nucleon coupling constant from the AdS/QCD soft-wall model

We investigate the dependence of the $ρ$ meson-nucleon coupling constant on the temperature of the medium using the soft-wall model of AdS/QCD. The finite temperature profile functions for the vector and fermion fields are applied to the model having a thermal dilaton field. The interaction Lagrangian in the bulk between these fields is written as in zero temperature case and includes minimal- and magnetic-type interactions. The temperature dependence of the $g_{ρNN}(T)$ coupling constant and its terms are plotted. We observe that the coupling constant and its separate terms become zero at the medium temperature near the Hawking temperature of phase transition.

hep-ph↗