Chandan Kumar Mondal
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View article: Structure of lightest nuclei in the visible Universe
Structure of lightest nuclei in the visible Universe Open
The simplest atomic nucleus, deuteron, provides key insights into the strong nuclear interactions among quarks and gluons that shape the visible universe. We present the first attempt to calculate the internal structure of the deuteron by …
View article: $ϕ$-meson spectroscopy and diffractive production using two Schrödinger like equations on the light-front
$ϕ$-meson spectroscopy and diffractive production using two Schrödinger like equations on the light-front Open
We show that the holographic Schrödinger equation of light-front chiral QCD, together with the 't Hooft equation of (1+1)-dimensional QCD in the large $N_c$ limit, can simultaneously describe the $ϕ$-meson mass spectroscopy as well as diff…
View article: Strange mesons with one dynamical gluon: A light-front approach
Strange mesons with one dynamical gluon: A light-front approach Open
We obtain the mass spectra of strange mesons using a light-front quantized Hamiltonian with Quantum Chromodynamics (QCD) input, incorporating quark-antiquark and quark-antiquark-gluon Fock components, along with a three-dimensional confine…
View article: Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach
Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach Open
Within the Basis Light-Front Quantization framework, we systematically investigate the subleading twist (twist-3) transverse-momentum-dependent parton distribution functions (TMDs) of the proton beyond the Wandzura-Wilczek (WW) approximati…
View article: Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach
Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach Open
Within the Basis Light-Front Quantization framework, we systematically investigate the subleading twist (twist-3) transverse-momentum-dependent parton distribution functions (TMDs) of the proton beyond the Wandzura-Wilczek (WW) approximati…
View article: Azimuthal spin asymmetries in pion-polarized proton induced Drell-Yan process at COMPASS using holographic light-front QCD
Azimuthal spin asymmetries in pion-polarized proton induced Drell-Yan process at COMPASS using holographic light-front QCD Open
We compute all the leading-twist azimuthal spin asymmetries in the pion-proton induced Drell-Yan process. These spin asymmetries arise from convolutions of the leading-twist transverse-momentum-dependent parton distributions (TMDs) of both…
View article: $ρ$-meson spectroscopy and diffractive production using the holographic light-front Schrödinger equation and the 't Hooft equation
$ρ$-meson spectroscopy and diffractive production using the holographic light-front Schrödinger equation and the 't Hooft equation Open
We determine the mass spectroscopy and light-front wave functions (LFWFs) of the $ρ$-meson by solving the holographic Schrödinger equation of light-front chiral QCD along with the 't Hooft equation of (1+1)-dimensional QCD in the large $N_…
View article: Twist-3 Generalized Parton Distribution for the Proton from Basis Light-Front Quantization
Twist-3 Generalized Parton Distribution for the Proton from Basis Light-Front Quantization Open
We investigate the twist-3 generalized parton distributions (GPDs) for the valence quarks of the proton within the basis light-front quantization (BLFQ) framework. We first solve for the mass spectra and light-front waved functions (LFWFs)…
View article: Predicting $\sin(2ϕ-ϕ_{s})$ azimuthal asymmetry in pion-proton induced Drell-Yan process using holographic light-front QCD
Predicting $\sin(2ϕ-ϕ_{s})$ azimuthal asymmetry in pion-proton induced Drell-Yan process using holographic light-front QCD Open
We compute the $\sin(2ϕ-ϕ_{s})$ azimuthal asymmetry in the pion-nucleon induced Drell-Yan process within transverse momentum dependent factorization. We employ the holographic light-front pion wave functions to calculate its leading-twist …
View article: Generalized parton distributions of gluon in proton: a light-front quantization approach
Generalized parton distributions of gluon in proton: a light-front quantization approach Open
We solve for the gluon generalized parton distributions (GPDs) inside the proton, focusing specifically on leading twist chiral-even GPDs. We obtain and employ the light-front wavefunctions (LFWFs) of the proton from a light-front quantize…
View article: Gluon distributions in the proton in a light-front spectator model
Gluon distributions in the proton in a light-front spectator model Open
We formulate a light-front spectator model for the proton incorporating the gluonic degree of freedom. In this model, at high energy scattering of the proton, the active parton is a gluon and the rest is viewed as a spin-$\frac{1}{2}$ spec…
View article: Transverse momentum structure of strange and charmed baryons: a light-front Hamiltonian approach
Transverse momentum structure of strange and charmed baryons: a light-front Hamiltonian approach Open
Under the basis light-front quantization framework, we investigate the leading-twist transverse-momentum-dependent parton distribution functions (TMDs) for $Λ$ and $Λ_c$ baryons, the spin-1/2 composite systems consisting of two light quark…
View article: Scalar curvature estimation of Generalized Ricci-Yamabe solitons
Scalar curvature estimation of Generalized Ricci-Yamabe solitons Open
This paper is concerned with the study of generalized gradient Ricci-Yamabe solitons. We characterize the compact generalized gradient Ricci-Yamabe soliton and find certain conditions under which the scalar curvature becomes constant. The …
View article: m-quasi Einstein manifolds with subharmonic potential
m-quasi Einstein manifolds with subharmonic potential Open
The main objective of this paper is to investigate the m-quasi Einstein manifold when the potential function becomes subharmonic. In this article, it is proved that an m-quasi Einstein manifold satisfying some integral conditions with vani…
View article: Pion spectroscopy and dynamics using the holographic light-front Schrödinger equation and the 't Hooft equation
Pion spectroscopy and dynamics using the holographic light-front Schrödinger equation and the 't Hooft equation Open
We show that the holographic Schrödinger equation of light-front chiral QCD, together with the 't Hooft equation of (1+1)-dimensional QCD in the large $N_c$ limit, can simultaneously describe pion spectroscopy as well as the pion decay con…
View article: Basis light-front quantization approach to $Λ$ and $Λ_c$ and their isospin triplet baryons
Basis light-front quantization approach to $Λ$ and $Λ_c$ and their isospin triplet baryons Open
We obtain the masses, the electromagnetic properties, and the parton distribution functions (PDFs) of $Λ$, $Λ_c$, and their isospin triplet baryons, i.e, $Σ^0$, $Σ^+$, $Σ^-$ and $Σ_c^0$, $Σ_c^+$, $Σ_c^{++}$ from a light-front effective Ham…
View article: Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model
Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model Open
We obtain the leading twist T-odd quark transverse momentum dependent parton distribution functions (TMDs) of the proton, namely the Sivers function, $f_{1T}^{\perp q}(x,p_\perp^2)$, and the Boer-Mulders function, $h_1^{\perp q}(x,p_\perp^…
View article: Diameter estimation of $(m,ρ)$-quasi Einstein manifolds
Diameter estimation of $(m,ρ)$-quasi Einstein manifolds Open
This paper aims to study the $(m,ρ)$-quasi Einstein manifold. This article shows that a complete and connected Riemannian manifold under certain conditions becomes compact. Also, we have determined an upper bound of the diameter for such a…
View article: Proton gravitational form factors and mechanical properties in a light-front quark-diquark model
Proton gravitational form factors and mechanical properties in a light-front quark-diquark model Open
We present our recent calculation of the gravitational form factors (GFFs) of proton using the light-front quark-diquark model constructed by the soft-wall AdS/QCD. We extract the four quark GFFs by calculating the matrix elements of the s…
View article: Splitting theorem of Gradient $ρ$-Einstein solitons
Splitting theorem of Gradient $ρ$-Einstein solitons Open
In this paper, we have proved a weighted Laplacian comparison of distance function for manifolds with Bakry-\'Emery curvature bounded from below. Next, we have shown that a gradient $\rho$-Einstein soliton with a bounded integral condition…
View article: Hadron structure from basis light-front quantization
Hadron structure from basis light-front quantization Open
We present our recent progress in applying basis light-front quantization approach to investigate the structure of the light mesons and the nucleon.
View article: Valence quark distributions of light mesons in light-cone quark model
Valence quark distributions of light mesons in light-cone quark model Open
In order to investigate the tomographical structure of light pseudoscalar mesons, particularly, pion and kaon, we study the valence quark distribution function (PDF) and the generalized parton distributions (GPDs) using light-cone quark mo…
View article: Some properties of geodesic $(alpha,E)$-preinvex functions on Riemannian manifolds
Some properties of geodesic $(alpha,E)$-preinvex functions on Riemannian manifolds Open
In this article, we have introduced the concept of textit{geodesic $(alpha,E)$-invex set} and by using this concept the notion of textit{geodesic $(alpha,E)$-preinvex functions} and textit{geodesic $(alpha,E)$-invex functions} are develope…
View article: Compact gradient $$\rho$$-Einstein soliton is isometric to the Euclidean sphere
Compact gradient $$\rho$$-Einstein soliton is isometric to the Euclidean sphere Open
View article: Diameter estimation of gradient $\rho$-Einstein solitons
Diameter estimation of gradient $\rho$-Einstein solitons Open
Our aim in this article is to give a lower bound of the diameter of a compact\ngradient $\\rho$-Einstein soliton satisfying some given conditions. We have also\ndeduced some conditions of the gradient $\\rho$-Einstein soliton with bounded\…
View article: $m$-quasi Einstein manifolds with convex potential
$m$-quasi Einstein manifolds with convex potential Open
The main objective of this paper is to investigate the $m$-quasi Einstein manifold when the potential function becomes convex. In this article, it is proved that an $m$-quasi Einstein manifold satisfying some integral conditions with vanis…
View article: Existence of finite global norm of potential vector field in a Ricci soliton
Existence of finite global norm of potential vector field in a Ricci soliton Open
In this article, we investigate global norm of potential vector field in Ricci soliton. In particular, we have deduced certain conditions so that the potential vector field has finite global norm in expanding Ricci soliton. We have also sh…
View article: Isometry theorem of gradient Shrinking Ricci solitons
Isometry theorem of gradient Shrinking Ricci solitons Open
View article: On Ricci solitons whose potential is convex
On Ricci solitons whose potential is convex Open
View article: Compact gradient $ρ$-Einstein soliton is isometric to the Euclidean sphere
Compact gradient $ρ$-Einstein soliton is isometric to the Euclidean sphere Open
In this paper we have investigated some aspects of gradient $ρ$-Einstein Ricci soliton in a complete Riemannian manifold. First, we have proved that the compact gradient $ρ$-Einstein soliton is isometric to the Euclidean sphere by showing …