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Halil Mutuk

Publications and source records attributed to Halil Mutuk.

34 records · Page 2Linked to original sources
arXiv2022

Magnetic moments of spin--1/2 triply-heavy baryons: A study of Light-cone QCD and Quark-diquark model

In this study, the magnetic moments of the spin-1/2 triply-heavy baryons have been calculated using both light-cone QCD sum rules and Quark-diquark model. Theoretical investigations on magnetic moments of the triply-heavy baryons, are crucial as their results can help us better understand their internal structure and the dynamics of the QCD as the theory of the strong interaction. We compare the results extracted for the magnetic moment with the existing theoretical predictions. It is seen that the obtained magnetic moment values are quite compatible with the results in the literature.

hep-ph↗
arXiv2021

The Status of $Ξ_{cc}^{++}$ Baryon: investigating quark-diquark model

Inspired by the discovery of the doubly-charmed and doubly-charged $Ξ_{cc}^{++}$ baryon, in this present work, we investigate spin-1/2 and spin-3/2 mass spectra and magnetic moments of $ccu$ baryon in quark-diquark model with a nonrelativistic potential. In the quark-diquark picture, the three-body problem of the $ccu$ baryon is reduced to the two-body bound state problem. We obtained ground and radially excited mass spectra and magnetic moments of the ground state. Ground state mass spectra agree well with the results in the literature, especially with lattice QCD computations. Predictions for the magnetic moment are compatible with the literature. According to our results, $cu$ diquark clustering in the $Ξ_{cc}^{++}$ baryon is more favorable than the $cc$ diquark clustering.

hep-ph↗
arXiv2021

Quasinormal modes of dS and AdS Black Holes: Feedforward neural network method

In this paper, we show how the quasinormal modes (QNMs) arise from the perturbations of massive scalar fields propagating in the curved background by using the artificial neural networks. To this end, we architect a special algorithm for the feedforward neural network method (FNNM) to compute the QNMs complying with the certain types of boundary conditions. To test the reliability of the method, we consider two black hole spacetimes whose QNMs are well-known: $4D$ pure de Sitter (dS) and five-dimensional Schwarzschild anti-de Sitter (AdS) black holes. Using the FNNM, the QNMs of are computed numerically. It is shown that the obtained QNMs via the FNNM are in good agreement with their former QNM results resulting from the other methods. Therefore, our method of finding the QNMs can be used for other curved spacetimes that obey the same boundary conditions.

gr-qc↗
arXiv2021

Nonrelativistic Treatment of Fully-Heavy Tetraquarks as Diquark-Antidiquark States

The goal of the present work is to obtain a reliable estimate of the masses of the ground and radially excited states of fully-heavy tetraquark systems. In order to do this, we use a nonrelativistic model of tetraquarks which are assumed to be compact and consist of diquark-antidiquark pairs. This nonrelativistic model is composed of Hulthen potential, a linear confining potential and spin-spin interaction. We computed ground, first, and second radially excited $cc\bar{c}\bar{c}$ and $bb\bar{b}\bar{b}$ tetraquark masses. It was found that predicted masses of ground states of $cc\bar{c}\bar{c}$ and $bb\bar{b}\bar{b}$ tetraquarks are significantly higher than the thresholds of the fall-apart decays to the lowest allowed two-meson states. These states should be broad and are thus difficult to observe experimentally. First radially excited states are considerably lower than their corresponding (2S-2S) two-meson thresholds. We hope that our study may be helpful to the experimental search for ground and excited $cc\bar{c}\bar{c}$ and $bb\bar{b}\bar{b}$ tetraquark states.

hep-ph↗
arXiv2021

Monte-Carlo Based QCD Sum Rules Analysis of $X_0(2900)$ and $X_1(2900)$

Motivated by the very recent discovery of fully open-flavor exotic states $X_0(2900)$ and $X_1(2900)$ by the LHCb Collaboration, we study possible interpretations of these exotic states by QCD Sum Rules method. We have calculated mass and decay constant by traditional QCD Sum Rules analysis and Monte-Carlo based analysis. $X_0(2900)$ and $X_1(2900)$ are studied in molecular and diquark-antidiquark tetraquark pictures, respectively. Obtained mass results agree well with the masses observed in the experiment. We also made a Monte-Carlo based analysis within QCD Sum Rules for the mass and decay constant distributions to investigate the possible assignments for the structures of $X_0(2900)$ and $X_1(2900)$.

hep-ph↗
arXiv2020

A Study of Excited $Ω_b^-$ States in Hypercentral Constituent Quark Model via Artificial Neural Network

In this work, we have obtained mass spectra, radiative decay widths and strong decay widths of newly observed excited $Ω_b^-$ states, i.e. $Ω_b(6316)^-$, $Ω_b(6330)^-$, $Ω_b(6340)^-$, and $Ω_b(6350)^-$. Mass spectrum is obtained in Hypercentral Constituent Quark Model (hCQM) by solving six-dimensional nonrelativistic Schrödinger equation via Artificila Neural Network (ANN). In this respect, radiative decay widhts are calculated by a generalization of a framework from meson to baryon. Also, strong decay widths of the low-lying $Ω_b$ states within $^3P_0$ model are calculated. Obtained results are presented with the comparison of available experimental data and other theoretical studies.

hep-ph↗
arXiv2020

A Neural Network Study of Blasius Equation

In this work we applied a feed forward neural network to solve Blasius equation which is a third-order nonlinear differential equation. Blasius equation is a kind of boundary layer flow. We solved Blasius equation without reducing it into a system of first order equation. Numerical results are presented and a comparison according to some studies is made in the form of their results. Obtained results are found to be in good agreement with the given studies.

cs.LG↗
arXiv2019

Neural Network Study of Hidden-Charm Pentaquark Resonances

Very recently, LHCb experiment announced the observation of hidden-charm pentaquark states $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$ near the $ Σ_c \bar{D}$ and $ Σ_c \bar{D}^\ast$ thresholds, respectively. In this present work, we studied thesepentaquarks in the framework of the nonrelativistic quark model with four types of potential. We solved 5-body Schrödinger equation by using artificial neural network method and made predictions of parities for these states which are not determined in the experiment yet. The mass of another possible pentaquark state near the $\bar{D}^\ast Σ_c^\ast$ with $J^P=5/2^-$ is also calculated.

hep-ph↗
arXiv2019

Mass Spectrum of Exotic X(5568) State via Artificial Neural Network

In this paper, we assume $X(5568)$ exist and study mass spectrum of $X(5568)$ resonance and its hypothetical charmed partner, $X_c$, by Artificial Neural Network method. The obtained predictions are compared with the experimental data and results of other theoretical works.

hep-ph↗
arXiv2019

Cornell Potential: A Neural Network Approach

In this study, we solved Schrödinger equation with Cornell potential (Coulomb-plus-linear potential) by using neural network approach. Four different types of Cornell potential were used without a physical relevance. Besides that charmonium and bottomonium spin-averaged spectra were also calculated. Obtained results are in good agreement with the reference studies.

physics.comp-ph↗
arXiv2018

Energy Levels of One Dimensional Anharmonic Oscillator via Neural Networks

In this work, we obtained energy levels of one dimensional quartic anharmonic oscillator by using neural network system. Quartic anharmonic oscillator is a very important tool in quantum mechanics and also in quantum field theory. Our results are in good agreement in high accuracy with the reference studies.

quant-ph↗
arXiv2018

X(3872) and Its Heavy Quark Spin Symmetry Partners in QCD Sum Rules

X(3872) presents many surprises after its discovery more than ten years ago. Understanding its properties is crucial to understand the spectrum of possible exotic mesons. In this work, X(3872) meson and its heavy quark spin symmetry (HQSS) partners (including the mesons in the bottom sector) are studied within the QCD Sum Rules approach using a current motivated by the molecular picture of X(3872). We predict four heavy partners to X(3872) and bottomonium with the masses and J^PC quantum numbers. Obtained results are in good agreement with the previous studies and available experimental data within errors.

hep-ph↗
arXiv2018

Asymptotic Iteration and Variational Methods for Gaussian Potential

In this paper we studied approximate solutions of the radial Schrödinger equation with the attractive Gaussian potential. We used asymptotic iteration method and variational method in order to obtain energy eigenvalues for any $n$ and $l$ quantum numbers. Our results are in good agreement with the other studies.

quant-ph↗
arXiv2018

Mass Spectra and Decay Constants of Heavy-Light Mesons: A Case Study of QCD Sum Rules and Quark Model

In this paper we visited mass spectra and decay constants of pseudoscalar and vector heavy-light mesons ($B$, $B_s$, $D$ and $D_S$) in the framework of QCD sum rule and quark model. The harmonic oscillator wave function was used in quark model while a simple interpolating current was used in QCD sum rule calculation. We obtained good results in accordance with the available experimental data and theoretical studies.

hep-ph↗
arXiv2018

S-wave Heavy Quarkonium Spectra: Mass, Decays and Transitions

In this paper we revisited phenomenological potentials. We studied S-wave heavy quarkonium spectra by two potential models. The first one is power potential and the second one is logarithmic potential. We calculated spin averaged masses, hyperfine splittings, decay constants, leptonic decay widhts, two-photon and two-gluon decay widths and some allowed M1 transitions. We studied ground and 4 radially excited S-wave charmonium and bottomonium states via solving nonrelativistic Schrödinger equation. Although the potentials were studied in this paper is not directly QCD motivated potential, obtained results are agree well with experimental data and other theoretical studies.

hep-ph↗