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In this work, we studied the $Z_{c}(3900)$ state within the framework of effective field theory. We firstly show the construction of the Lagrangian describing meson-meson-meson and meson-diquark-diquark interactions. By using the Feynman rule, we calculate the effective potentials corresponding to the coupled channels of $D\bar{D}^{*}/D^{*}\bar{D}$ and $S_{cq}\bar{A}_{cq}/A_{cq}\bar{S}_{cq}$ with $S_{cq}$ ($A_{cq}$) the scalar (axial vector) diquark composed of $c$ and $q$ quarks. After solving the Bethe-Salpeter equation of the on-shell parametrized form and compare our numerical results with the experimental mass and width of $Z_{c}(3900)$, we find that the $Z_{c}(3900)$ state can be explained as the mixture of $D\bar{D}^{*}/D^{*}\bar{D}$ and $S_{cq}\bar{A}_{cq}/A_{cq}\bar{S}_{cq}$ components., Comment: 7 pages, 1 figure

The BESIII Collaboration recently reported the observation of two new resonances, $X(1910)$ and $X(2300)$, which have sparked our interest in studying the light hadron family with $J^{PC}=1^{+-}$ . In this work, we investigate the mass spectra and OZI-allowed two-body strong decays of $b_1$, $h_1$, and $h_1^\prime$ using the MGI model and QPC model with newly fitted parameters. We also explore the possibility of identifying $X(1910)$ and $X(2300)$ as $h_1$ or $h_1^\prime$ states. Our numerical results suggest that $X(1910)$ could be a promising candidate for the $h_1^\prime(2^1P_1)$ state with quark content $s\bar{s}$, while the structure of $X(2300)$ remains uncertain.

In this paper, we mainly predict the rates of $M$1 radiative and spin-nonflip $\pi\pi$ transitions of the $B_{c}$-meson under the nonrelativistic Cornell potential model with a screening potential effect. We employ the numerical wave function to determine the $M$1 radiative transition widths of $B_c$ excited states and utilize the Kuang-Yan proposed method for the spin-nonflip $\pi\pi$ transitions among $B_c$ states. Our theoretical results are valuable for studying the $M$1 radiative and spin-nonflip $\pi\pi$ transition processes of $B_c$ states in experiments., Comment: 5 figures. The published version of PRD

Recently, the BESIII Collaboration reported three resonances: $X(2232)$ with $M = 2232 \pm 19 \pm 27$ MeV and $\Gamma = 93 \pm 53 \pm 20$ MeV, $X(2200)$ whose mass $M = 2200 \pm 11 \pm 17$ MeV and width $\Gamma = 74 \pm 20 \pm 24$ MeV as well as $X(2222)$ which has mass of $2222 \pm 7 \pm 2$ MeV and the width of $59 \pm 30 \pm 6$ MeV. The mass spectrum of $\omega$ meson family is studied utilizing the modified Godfrey-Isgur model, and the two-body strong decays of $X(2232)$, $X(2200)$ and $X(2222)$ within two different approaches of the $^3P_0$ model. We find that the newly discovered states $X(2232)$, $X(2200)$ and $X(2222)$ may be the same and are most likely to be the $\omega(3D)$ state. The discovery could be useful in establishing entire $\omega$ mesons., Comment: 5 pages,2 figures

It has been recently shown that magnetic reconnection can provide us a novel mechanism to extract black hole rotational energy from a Kerr black holes. In this paper, we study the energy extraction from the Kerr-de Sitter black hole via this magnetic reconnection process. The result shows that, with the increase of the cosmological constant, a slowly spinning Kerr-de Sitter black hole can implement the energy extraction better than its Kerr counterpart. Interestingly, although the numerical results show that the maximum values of the power and efficiency slightly decrease with the cosmological constant, Kerr-de Sitter black hole still has significant advantages when the black hole spin is larger than 1 and the dominant reconnection $X$-point is far away from the event horizon. This is mainly attributed to the higher upper spin bound and wider ergosphere in the presence of the cosmological constant. These results uncover the significant effects of the cosmological constant on the energy extraction via the magnetic reconnection process., Comment: 17 pages, 12 figures. Revised version

We study the excited states of $\omega$ and $\omega_3$ by comparison with the $\rho$ and $\rho_3$ families, and discuss the possibility of $X(2220)$ as $\omega$ excitation by analyzing the mass spectra and strong decay behaviors. In addition, we predict the masses and widths of $\omega(2D)$ and $\omega_3$and $\rho_3(4D)$, $\rho_3(1G)$, $\omega_3$ and $\rho_3(2G)$ and $\omega_3(3G)$ and $\rho_3(3G)$. The abundant information of their two-body strong decays predicted in this work will be helpful to further study of these $\omega$ and $\omega_3$ and $\rho$ and $\rho_3$ states in experiment and theory., Comment: 13 page,1 figure. PRDedition. arXiv admin note: text overlap with arXiv:1910.12408

Mass spectra of quarkonium systems can be described by different phenomenological potentials. In the present work, the {\color{black}resonance} states of heavy quarkonium like ($c\bar{c}$ and $b\bar{b}$) are considered as the rovibrational states. We study a parameterized rovibrational model derived from the empirical solution of the nonrelativistic Schr\"{o}dinger equation with Morse potential, the corrections are composed of colour hyperfine interaction and spin-orbit interaction of mesons. We {\color{black}obtain} the high excited state mass spectra of charmonium and bottomonium comparing the results in reasonable agreement with the present experimental data., Comment: 6 pages, 4 figures

Two observed structures with $M=1868 \pm 8^{+ 40}_{- 57}$ MeV and $M=2073 \pm 94^{+ 245}_{- 240}$ MeV are the same states ($K_2^*(1980)$) in PDG.The analysis of the mass spectrum and the calculation of the strong decay of $K_2^*$ mesons support the low mass state of $K_2^*(1980)$ as $2^3P_2$ and the high mass state of $K_2^*(1980)$ as $1^3F_2$ in this letter. This analysis brings us very important criterion for the assignment of the observed $K_2^* (1980)$ and experimental findings for this assignment is suggested. Additionally, prediction of some partial decay widths are made on the high excitations of $K_2^*$ family. This study is crucial to establishing and searching for their higher excitations in the future., Comment: 9 pages, 6 figures. arXiv admin note: text overlap with arXiv:1810.02694

As we all known that non-relativistic or semi-relativistic constituent quark models can describe a large number of the meson sand baryon properties with surprising accuracy. In this work, we studied Killingbeck potential by using WKB approximation in the constituent quark model. The implicit approximate solution of the energy eigenvalue of the Schr\"{o}dinger equation is obtained by using appropriate quantization conditions. Under the Killingbeck potential with the WKB approximation, we studied the spectra of double heavy mesons and predict the masses of high excited states in $c\bar{c}$, $b\bar{b}$ and $b\bar{c}$ families. Finally, we discuss the application scope of double heavy mesons in Killingbeck potential., Comment: 7 pages, 1 figure

In this work, we study higher $B_c$ mesons to the $L=S$, $P$, $D$, $F$, $G$ multiplets using the Cornell potential model, which takes account of the screening effect. The calculated mass spectra of $B_c$ states are in reasonable agreement with the present experimental data. Based on the spectroscopy, partial widths of all allowed radiative transitions and strong decays of each state are also evaluated by applying our numerical wave functions. Comparing our results with the former results, we point out the difference among various models and derive new conclusions obtained in this paper. Our theoretical results are valuable for searching more $B_c$ mesons in experiments., Comment: 18 pages

When a Simple Harmonic Oscillator (SHO) wave function is used as an effective wave function, a very important parameter in the SHO wave function is the effective $\beta$ value. We obtain the analytical expression of $\beta_{eff}$ ($\beta_{effective}$) of the SHO wave function in coordinate space and momentum space. The expression is applied to the light meson system $(u\bar{u},~u\bar{s})$ to compare the behavior of $\beta_{eff}$. The results show that $\beta_ {eff,\mathbf{r}}$ in coordinate space and $\beta_ {eff,\mathbf{p}}$ in momentum space are significantly different in the ground state, however, similar in the highly excited states with Cornell potential., Comment: 10 pages,3 figure

Industrial cyber-physical systems require complex distributed software to orchestrate many heterogeneous mechatronic components and control multiple physical processes. Industrial automation software is typically developed in a model-driven fashion where abstractions of physical processes called plant models are co-developed and iteratively refined along with the control code. Testing such multi-dimensional systems is extremely difficult because often models might not be accurate, do not correspond accurately with subsequent refinements, and the software must eventually be tested on the real plant, especially in safety-critical systems like nuclear plants. This paper proposes a framework wherein high-level functional requirements are used to automatically generate test cases for designs at all abstraction levels in the model-driven engineering process. Requirements are initially specified in natural language and then analyzed and specified using a formalized ontology. The requirements ontology is then refined along with controller and plant models during design and development stages such that test cases can be generated automatically at any stage. A representative industrial water process system case study illustrates the strengths of the proposed formalism. The requirements meta-model proposed by the CESAR European project is used for requirements engineering while IEC 61131-3 and model-driven concepts are used in the design and development phases. A tool resulting from the proposed framework called REBATE (Requirements Based Automatic Testing Engine) is used to generate and execute test cases for increasingly concrete controller and plant models., Comment: Conference paper, 5 pages, 5 figures

Analytic solutions for the energy eigenvalues are obtained from a confined potentials of the form $br$ in 3 dimensions. The confinement is effected by linear term which is a very important part in Cornell potential. The analytic eigenvalues and numerical solutions are exactly matched., Comment: 6 pages

Inspired by the event accumulation around 2.6 GeV in the $\eta^\prime\pi^+\pi^-$ invariant mass spectrum of $J/\psi\to \gamma \eta^\prime\pi^+\pi^-$, which was reported by the BESIII Collaboration, we carry out the study of the mass spectrum and decay behavior of four radial excitations in the pseudoscalar meson family, which include $\eta^{(\prime)}(6S)$ and $\eta^{(\prime)}(7S)$. Combining with these analysis, we present the calculation of the reactions induced by a pion or kaon on the proton target which are relevant to these four discussed states. According to this information, we give concrete experimental suggestion of searching for them, which will become a new task for future experiments., Comment: 10 pages and 12 figures

A new scheme of state classification is proposed and applied to analyze masses of the heavy baryons $\Omega_{Q}$, $\Sigma_{Q}$ and $\Xi_{Q}^{\prime}$ in P-waves. The results confirm all excited $\Omega_{c}$ and $\Omega_{b}$ baryons reported recently by LHCb to be bound states of a P-wave $ss$-diquark and a respective charm or bottom quark, and thereby predict Regge trajectories for more excited $\Omega_{c}$ and $\Omega_{b}$ baryons. We suggest one excited {$J^{P}=5/2^{-}$} $\Omega_{b}$ state to be unseen by LHCb around $6352$ MeV, and predict P-wave masses of all spin-partners of the odd-parity baryons $\Sigma_{c}(2800)/\Xi_{c}^{\prime}(2942)$ and $\Sigma_{b}(6097)$/$\Xi_{b}^{\prime }(6227)$. A computation is further given in a relativized potential quark models to explain matched values of spin couplings of all considered baryons, by which a scaling law for these spin couplings is discussed., Comment: 28 pages, 3 figures in total, with one new figure (FIG. 3) and one new section (Section VI) added in this enlarged version(V3). Due to twice extensions (Section V and Section VI added) including two newly added figures(FIG. 2 and FIG. 3), we also changed the title correspondingly

Since the present $\omega$ meson family has not been established, in this work, we carry out an investigation of the mass spectrum and Okubo-Zweig-Iizuka a allowed two-body strong decay of the $S$-wave and the $D$-wave $\omega$ mesons, and make the comparison with the experimental data of these reported $\omega$ states and the $\omega$-like $X(2240)$ state observed by BESIII. By this study, we not only suggest the possible assignments to these observed $\omega$ states under the framework of the $\omega$ meson family, but also predict three $\omega$ mesons ($\omega(5S)$, $\omega(2D)$ , and $\omega(4D)$) which are still missing in experiment. The present study may provide valuable information to further construct the $\omega$ meson family. Considering the present running status of BESIII, we also suggest that BESIII should pay more attention to the issue of $\omega$ meson with accumulating more data., Comment: 10 pages and 10 figures. Accepted by Phys. Rev. D for publication

In this paper, the excited states of $\phi$ meson, especially containing the newly observed $X(2000)$ with $I(J^P)=0(1^-)$ by the BESIII Collaboration, is studied. In addition, $Y(2175)$ as a $\phi$ {\color{black}{meson excited state}} is investigated. The mass spectrum and strong decay behaviors of $\phi$ {\color{black}{meson excited states}} are analyzed, which indicates that $X(2000)$ and $Y(2175)$ are the candidates of $\phi(3S)$ and $\phi(2D)$ states with $I(J^P)=0(1^-)$, respectively. In addition, {\color{black}{$\phi(1D)$ and $\phi(4S)$ are}} predicted to have the mass of 1.87 GeV and 2.5 GeV and width of 550 MeV and 230 MeV, respectively., Comment: 6 pages. PRD edition,data updated

The unflavored light meson families, namely $\omega_2$, $\rho_2$, and $\phi_2$, are studied systematically by investigating the spectrum and the two-body strong decays allowed by Okubo-Zweig-Iizuka rule. Including the four experimentally observed states and other predicted states, phenomenological analysis of the partial decay widths can verify the corresponding assignments of these states into the families. Moreover, we provide typical branching ratios of the dominant decay channels, especially for missing ground states, which is helpful to search for or confirm them and explore more properties of these families at experiment., Comment: 10 pages, 11 figures; more discussions and some new references are added