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Recently, the BESIII experiment performed a measurement of the energy-dependent Born cross section and the effective form factor for the $e^+e^-\to\Omega^-\bar\Omega^+$ reaction at center-of-mass energies ranging from 3.4 to 4.7 GeV. A fit…

High Energy Physics - Experiment · Physics 2026-03-17 Ruoyu Zhang , Xiongfei Wang

The internal structures of $J^{PC}=1^{--}, (0,1,2)^{-+}$ charmonium-like hybrids are investigated under lattice QCD in the quenched approximation. We define the Bethe-Salpeter wave function $\Phi_n(r)$ in the Coulomb gauge as the matrix…

High Energy Physics - Lattice · Physics 2021-09-22 Yunheng Ma , Wei Sun , Ying Chen , Ming Gong , Zhaofeng Liu

We present charmonium and bottomonium correlators and corresponding reconstructed spectral functions from full QCD calculations in the pseudoscalar channel. Correlators are obtained using a mixed-action approach, clover-improved Wilson…

High Energy Physics - Lattice · Physics 2023-07-14 Sajid Ali , Dibyendu Bala , Olaf Kaczmarek , Hai-Tao Shu , Tristan Ueding

Three more $X$ particles are established in the 2014 Particle Data compared with the 2012 ones. There are now five established $X$ particles named as $X(3872)$, $X(3900)$, $X(4260)$, $X(4360)$, and $X(4660)$. Since the first $X$ particle…

High Energy Physics - Phenomenology · Physics 2015-06-16 Jeong Hun Yang , Su Kyeong Lee , Eun-Joo Kim , Jong Bum Choi

We investigate quarkonium mass spectra in external constant magnetic fields by using QCD sum rules. We first discuss a general framework of QCD sum rules necessary for properly extracting meson spectra from current correlators computed in…

High Energy Physics - Phenomenology · Physics 2015-02-25 Sungtae Cho , Koichi Hattori , Su Houng Lee , Kenji Morita , Sho Ozaki

We propose a method to evaluate spectral functions on the lattice based on a variational method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a variational method, we calculate the…

High Energy Physics - Lattice · Physics 2011-11-15 H. Ohno , S. Aoki , S. Ejiri , K. Kanaya , Y. Maezawa , H. Saito , T. Umeda

Nonrelativistic quark models of charmonia are tested by comparison of theoretical charmonium decay constants, form factors, and $\gamma\gamma$ widths with experiment and lattice gauge computations. The importance of relativistic effects, a…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. Lakhina , E. S. Swanson

In this paper, Schrodinger equation is numerically applied through non-relativistic potential model for deriving Spectrum, radial wave functions at origin, decay constants, lepton and photon decay widths for radial and orbital excited…

High Energy Physics - Phenomenology · Physics 2020-08-26 Nosheen Akbar

Based on the Caputo fractional derivative the classical, non relativistic Hamiltonian is quantized leading to a fractional Schroedinger type wave equation. The free particle solutions are localized in space. Solutions for the infinite well…

Mathematical Physics · Physics 2007-05-23 Richard Herrmann

Many mesons with properties incompatible with a $\bar cc$ structure have already been discovered, e.g. the $Z_c$ mesons with isospin 1. We investigate the spectrum of exotic charmonium-like mesons using lattice QCD. The focus is on $\bar cc…

High Energy Physics - Lattice · Physics 2022-12-12 Mitja Sadl , Sara Collins , M. Padmanath , Sasa Prelovsek

We use a non-relativistic model to study the mass spectroscopy of a tetraquark composed by $c \, \bar{c} \, c \, \bar{c}$ quarks in the diquark-antidiquark picture. By numerically solving the Schr\"{o}dinger equation with a Cornell-inspired…

High Energy Physics - Phenomenology · Physics 2018-12-04 V. R. Debastiani , F. S. Navarra

Based on the updated data of charmoniumlike state $Y(4220)$ reported in the hidden-charm %and open-charm channels of the $e^+e^-$ annihilation, we propose a $4S$-$3D$ mixing scheme to categorize $Y(4220)$ into the $J/\psi$ family. We find…

High Energy Physics - Phenomenology · Physics 2019-06-07 Jun-Zhang Wang , Dian-Yong Chen , Xiang Liu , Takayuki Matsuki

A puzzling phenomenon, where the measured mass of the $\psi(4160)$ is pushed higher, presents a challenge to current theoretical models of hadron spectroscopy. This study suggests that the issue arises from analyses based on the outdated…

High Energy Physics - Phenomenology · Physics 2025-03-24 Tian-Cai Peng , Zi-Yue Bai , Jun-Zhang Wang , Xiang Liu

Power series method (PSM) is revisited to find the masses of S, P, and D states of conventional charmonium ($c\overline{c}$), bottomonium ($b\overline{b}$), and $B_c$ ($\overline{b}c$) mesons by assuming the solution of N-dimensional radial…

High Energy Physics - Phenomenology · Physics 2024-05-02 Nosheen Akbar , Zeeshan Ali , Saadia Arshad

Using the QCD sum rules we test if the charmonium-like structure Y(4274), observed in the $J/\psi\phi$ invariant mass spectrum, can be described with a $D_s\bar{D}_{s0}(2317)+h.c.$ molecular current with $J^{PC}=0^{-+}$. We consider the…

High Energy Physics - Phenomenology · Physics 2015-03-18 Stefano I. Finazzo , Xiang Liu , Marina Nielsen

We propose the initial single chiral particle emission mechanism, with which the hidden-charm di-kaon decays of higher charmonia and charmonium-like states are studied. Calculating the distributions of differential decay width, we obtain…

High Energy Physics - Phenomenology · Physics 2013-06-07 Dian-Yong Chen , Xiang Liu , Takayuki Matsuki

We use the dynamical gluon configurations provided by the MILC collaboration in a study of the charmonium spectrum and psi leptonic width. We examine sea quark effects on mass splitting and on the leptonic decay matrix element for light…

The QCD string model is employed to evaluate the masses of orbitally and radially excited heavy-light mesons and lightest hybrids in the spectrum of charmonium and bottomonium. The number of parameters of the model is reduced to only seven…

High Energy Physics - Phenomenology · Physics 2016-12-12 Yu. S. Kalashnikova , A. V. Nefediev

In this work, we calculate the amplitudes of the processes $c\bar c({^3P_J}) \rightarrow DD,DD^*, D^*D^* \rightarrow c\bar c({^3P_J})$ in the leading order of the nonrelativistic expansion. The imaginary parts of the amplitudes are…

High Energy Physics - Phenomenology · Physics 2020-12-02 Hui-Yun Cao , Hai-Qing Zhou

Mesonic resonances are generally observed in data as narrow, moderately broad, or wide peaks in scattering or production processes. In the eyes of nearly all experimentalists, any suchlike bump is a true resonance as soon as its statistical…

High Energy Physics - Phenomenology · Physics 2015-06-03 George Rupp , Susana Coito , Eef van Beveren
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