Halil Mutuk
In this paper we solved Schrödinger equation with Song-Lin potential by using Asymptotic Iteration Method (AIM). We obtained spin-averaged energy levels of charmonium and bottomonium via AIM. Obtained results agree well with available experimental data and other theoretical studies.
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The N-dimensional radial Schrodinger equation with an extended Cornell potential is solved. The analytical exact iteration method is applied. The energy eigenvalues are calculated in the N-dimensional space. The charmonium meson, the bottomonium meson and the bc meson masses are calculated in the N-dimensional space. The special cases are obtained from the general case. The study of the effect of dimensionality number is studied. The mean value of the radius and the mean square velocity of charmonium meson, bottomonium meson, and bc meson are calculated. The present results are improved in com…
We obtain the Potential NRQCD Lagrangian relevant for S-wave states with next-next-to-next-to-leading logarithmic (NNNLL) accuracy. We compute the heavy quarkonium mass of spin-averaged $l= 0$ (angular momentum) states, with otherwise arbitrary quantum numbers, with NNNLL accuracy. These results are complete up to a missing contribution of the two-loop soft running.
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, obtai…
The strong interaction between heavy quarks and the quark gluon plasma makes the open and hidden charm hadrons be sensitive probes of the deconfinement phase transition in high energy nuclear collisions. Both the cold and hot nuclear matter effects change with the colliding energy and significantly influence the heavy quark and charmonium yield and their transverse momentum distributions. The ratio of averaged quarkonium transverse momentum square and the elliptic flow reveal the nature of the QCD medium created in heavy ion collisions at SPS, RHIC and LHC energies.
The analytical exact iteration method (AEIM) have been used to calculate the N-dimensional radial schrodinger equation with the real part of complex-valued potential and it is generalized to the finite value of anisotropy (ξ), temperature and baryonic chemical potential. In N-dimensional space the energy eigen values have been calculated for any states (n,l). The present results have been used to study the properties of quarkonium states (i.e, the binding energy and mass spectra in the N-dimensional space). The influences of anisotropy (ξ) on the dissociation temperature(TD) has been also calc…
We extend our lattice QCD potential based study arXiv:1509.07366 (JHEP 1512 (2015) 101) of the in-medium properties of heavy quark bound states to P-wave bottomonium and charmonium. Similar to the behavior found in the S-wave channel their spectra show a characteristic broadening, as well as mass shifts to lower energy with increasing temperature. In contrast to the S-wave states, finite angular momentum leads to the survival of spectral peaks even at temperatures, where the continuum threshold reaches below the bound state remnant mass. We elaborate on the ensuing challenges in defining quark…
Spin-averaged $B_c$ Spectrum in a Cornell-type Potential Using VMC Baseline and GFMC Evolution
本文基于科尼尔框架计算$B_c$能谱，通过VMC优化径向试态并利用GFMC确定各能级能量，参数校准与实验数据一致，预测质量与实验值相符。
We analyze heavy quark free energies in 2-flavor QCD at finite temperature and the corresponding heavy quark potential at zero temperature. Static quark anti-quark sources in color singlet, octet and color averaged channels are used to probe thermal modifications of the medium. The temperature dependence of the running coupling, $α_{qq}(r,T)$, is analyzed at short and large distances and is compared to zero temperature as well as quenched calculations. In parts we also compare our results to recent findings in 3-flavor QCD. We find that the characteristic length scale below which the running c…
Two numerical methods are developed to reduce the solution of the radial Schrödinger equation for proposed heavy quark-antiquark interactions, into the solution of the eigenvalue problem for the infinite system of tridiagonal matrices. Our perspective is a numerical approach relies on finding the proper numerical method to investigate the static properties of heavy quarkonia-mesons, such as spectrum, radius ... etc., with implantation of both the nonrelativistic quark model and the ingredients of the quantum chromodynamics (QCD) theory. The application of these proposed schemes resulted in mas…
The effect of anisotropy on the formation of heavy quarkonium bound states
本文采用硬热圈准粒子模型研究各向异性等离子体中重夸克–反夸克静态势，通过数值与解析计算及薛定谔方程求解，揭示各向异性增强结合能并影响束缚态数量。
Quarkoniumlike states above open-flavor thresholds in Born-Oppenheimer EFT
本研究利用玻恩-奥本海默有效场论，结合多种数值方法，揭示了开味阈值以上类夸克偶素态的多重态组织与组分特征，为多数候选态提供了归属并指出了待探索的新物理方向。
Open-flavor threshold effects on quarkonium spectrum in the BOEFT
本文利用BOEFT研究开放味阈值对介子谱的影响，通过求解耦合的Schrödinger方程并考虑自能修正，验证了结果并与实验数据和文献对比，解释了$^3P_0$模型中的配对产生常数$γ$。
We generalize a complex heavy-quark potential model from an isotropic QCD plasma to an anisotropic one by replacing the Debye mass $m_D$ with an anisotropic screening mass depending on the quark pair alignment with respect to the direction of anisotropy. Such an angle-dependent mass is determined by matching the perturbative contributions in the potential model to the exact result obtained in the Hard-Thermal-Loop resummed perturbation theory. An advantage of the resulting potential model is that its angular dependence can be effectively described by using a set of angle-averaged screening mas…
In the framework of potential models for heavy quarkonium, we compute the mass spectrum of the bottom-charmed $B_{c}$ meson system and spin-dependent splittings from the Schrödinger equation using the shifted-large-N expansion technique. The masses of the lightest vector $B_{c}^{+}$ and pseudoscalar $B_{c}$ states as well as the higher states below the threshold are estimated. Our predicted result for the ground state energy is $% 6253_{-6}^{+15}$ $MeV$ and are generally in exact agreement with earlier calculations. Calculations of the Schrödinger energy eigenvalues are carried out up to third…
Renormalon subtracted nonrelativistic QCD for heavy hadron systems
该研究提出重整化子减除的pNRQCD公式用于重子系统精密光谱学，结合VMC/GFMC方法与NNLO势，用MRS稳定微扰收敛，调谐夸克质量预测重子质量，还应用于全重四夸克确定临界质量比和计算束缚能。
A unified study of the \(B_c\) meson: from spectrum and form factors to weak and radiative decays
在屏蔽势模型框架下，通过考虑相对论动能修正和自旋相关相互作用计算 \(B_c\) 介子质量谱，并利用质量更新的三点 QCD 求和规则分析其弱衰变和辐射跃迁，同时检验 Regge 轨迹的一致性。
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