In this study, we investigate the $R^2$ corrections to the dissociation of heavy quarkonium in the Gauss-Bonnet gravitational background. We analyze the impact of the Gauss-Bonnet parameter $\lambda_{\rm GB}$ on the spectral function of charmonium and bottomonium and examine the effect of $\lambda_{\rm GB}$ on the dissociation of heavy quarkonium. Our results show that $\lambda_{\rm GB}$ reduces the peak height and increases the peak width of the spectral function, suggesting that $\lambda_{\rm GB}$ enhances the dissociation of heavy quarkonium. We also discuss the variation in the dissociation of heavy quarkonium with the ratio of shear viscosity to entropy density and observe that the dissociation is easier in more perfect plasma. Additionally, we observe that the temperature decreases the peak height and widens the peak, thereby accelerating the dissociation.

China

Zhou-Run Zhu

Manman Sun

Rui Zhou

Jinzhong Han

$\textit{R}$ $^{2}$ corrections to holographic heavy quarkonium dissociation * Rui Zhou supported by the Science and Technology Development Plan Project of Henan Province, China (242102230085), the National Natural Science Foundation of China (12404470), the High Level Talents Research and Startup Foundation Projects for Doctors of Zhoukou Normal University, China (ZKNUC2023017). Manman Sun supported by the National Natural Science Foundation of China (12305076). Zhou-Run Zhu supported by the High Level Talents Research and Startup Foundation Projects for Doctors of Zhoukou Normal University, China (ZKNUC2023018)

We study the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>P</mi></math>-wave bottom baryons of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>U</mi><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></math> flavor antitriplet and systematically calculate their strong decay properties, including their <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi></math>-wave decays into ground-state bottom baryons with light pseudoscalar mesons and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi></math>-wave decays into ground-state bottom baryons with light vector mesons. Together with [W. H. Tan et al., Predicted <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">Ξ</mi></mrow><mrow><mi>b</mi></mrow></msub><mo stretchy="false">(</mo><mn>6087</mn><msup><mrow><mo stretchy="false">)</mo></mrow><mrow><mn>0</mn></mrow></msup></mrow></math> and further predictions, <a href="http://dx.doi.org/10.1140/epjc/s10052-024-12717-6">Eur. Phys. J. C 84, 382 (2024)</a>., H. M. Yang et al., Decay properties of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>P</mi></math>-wave bottom baryons within light-cone sum rules, <a href="http://dx.doi.org/10.1140/epjc/s10052-020-7637-z">Eur. Phys. J. C 80, 80 (2020)</a>., H. M. Yang and H. X. Chen, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>P</mi></math>-wave bottom baryons of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>U</mi><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></math> flavor <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mn mathvariant="bold">6</mn><mi>F</mi></msub></math> <a href="http://dx.doi.org/10.1103/PhysRevD.101.114013">Phys. Rev. D 101, 114013 (2020)</a>., and X. Luo, H. M. Yang, and H. X. Chen, Radiative decays of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>P</mi></math>-wave bottom baryons from light-cone sum rules, <a href="http://arXiv.org/abs/2407.04433">arXiv:2407.04433</a>.], a rather complete investigation has been performed to study their mass spectra and strong/radiative decay properties, through the methods of quantum chromodynamics (QCD) sum rules and light-cone sum rules within the framework of heavy quark effective theory. Among various possibilities, we identify four <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>b</mi></msub></math> and four <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Ξ</mi><mi>b</mi></msub></math> baryons, with limited decay widths and so capable of being observed in experiments. Their masses, mass splittings within the same multiplets, and strong/radiative decay widths are summarized in Table II for future experimental searching.

Yi-Jie Wang

Xuan Luo

Hua-Xing Chen

Er-Liang Cui

Wei-Han Tan

Zhi-Yong Zhou

Strong decay properties of P-wave single bottom baryons of the SU(3) flavor antitriplet <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mover accent="true"><mrow><mn>3</mn></mrow><mrow><mo stretchy="false">¯</mo></mrow></mover></mrow><mrow><mi mathvariant="normal">F</mi></mrow></msub></mrow></math>

We study the <math><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>π</mi></math> and <math><mi>D</mi><msup><mover><mi>D</mi><mo>¯</mo></mover><mo>*</mo></msup></math> coupled-channel system within a covariant framework. The <math><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>π</mi></math> and <math><mi>D</mi><msup><mover><mi>D</mi><mo>¯</mo></mover><mo>*</mo></msup></math> invariant-mass distributions measured at 4.23 and 4.26 GeV by BESIII and the finite-volume energy levels from recent lattice QCD simulations are simultaneously fitted. Phase shifts and inelasticities of the <math><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>π</mi></math> and <math><mi>D</mi><msup><mover><mi>D</mi><mo>¯</mo></mover><mo>*</mo></msup></math> scattering are predicted using the resulting amplitudes. Poles corresponding to the <math><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>3900</mn><mo>)</mo></math> state are found in the complex energy plane and their couplings with <math><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>π</mi></math> and <math><mi>D</mi><msup><mover><mi>D</mi><mo>¯</mo></mover><mo>*</mo></msup></math> are determined. Our results indicate that the current lattice data do not preclude the existence of the <math><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>3900</mn><mo>)</mo></math> state.

Lin-Wan Yan

Zhi-Hui Guo

Feng-Kun Guo

De-Liang Yao

Reconciling experimental and lattice data of <math><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>3900</mn><mo>)</mo></math> in a <math><mrow><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>π</mi><mtext>−</mtext><mi>D</mi><msup><mrow><mover><mrow><mi>D</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow><mrow><mo>*</mo></mrow></msup></mrow></math> coupled-channel analysis

A special class of four-point correlation functions in the maximally supersymmetric Yang-Mills theory is given by the square of the Fredholm determinant of a generalized Bessel kernel. In this note, we re-express its logarithmic derivatives in terms of a two-dimensional Riemann-Hilbert problem. We solve the latter in the null limit making use of the Deift-Zhou steepest descent. We reproduce the exact octagonal anomalous dimension in 't Hooft coupling and provide its novel formulation as the convolution of a non-linear quasiclassical phase with the Fermi distribution in the limit of the infinite chemical potential.

United States

A.V. Belitsky

Null octagon from Deift-Zhou steepest descent

In this paper, the <math><mi>I</mi><mi>J</mi><mo>=</mo><mn>00</mn></math>, 11, 20 partial wave <math><mi>π</mi><mi>π</mi></math> scattering phase shifts determined by the lattice QCD approach are analyzed by using a novel dispersive solution of the S-matrix, i.e., the Peking University representation, in which the unitarity and analyticity of scattering amplitudes are automatically satisfied and the phase shifts are conveniently decomposed into the contributions of the cuts and various poles, including bound states, virtual states and resonances. The contribution of the left-hand cut is estimated by the <math><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></math> chiral perturbation theory to <math><mrow><mi>O</mi><mo>(</mo><msup><mrow><mi>p</mi></mrow><mrow><mn>4</mn></mrow></msup><mo>)</mo></mrow></math>. The Balanchandran-Nuyts-Roskies relations are considered as constraints to meet the requirements of the crossing symmetry. It is found that the <math><mi>I</mi><mi>J</mi><mo>=</mo><mn>00</mn></math> <math><mi>π</mi><mi>π</mi></math> scattering phase shifts obtained at <math><mrow><msub><mrow><mi>m</mi></mrow><mrow><mi>π</mi></mrow></msub><mo>=</mo><mn>391</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></mrow></math> by Hadron Spectrum Collaboration (HSC) reveal the presence of both a bound state pole and a virtual state pole below the <math><mi>π</mi><mi>π</mi></math> threshold rather than only one bound state pole for the <math><mi>σ</mi></math>. To reproduce the lattice phase shifts at <math><mrow><msub><mrow><mi>m</mi></mrow><mrow><mi>π</mi></mrow></msub><mo>=</mo><mn>391</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></mrow></math>, a virtual-state pole in the <math><mrow><mi>I</mi><mi>J</mi><mo>=</mo><mn>20</mn></mrow></math> channel is found to be necessary in order to balance the left-hand cut effects from the chiral amplitudes. Similar discussions are also carried out for the lattice results with <math><msub><mi>m</mi><mi>π</mi></msub><mo>=</mo><mn>236</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math> from HSC. The observed behaviors of the pole positions with respect to the variation of the pion masses can provide deep insights into our understanding of the dynamical origin of <math><mi>σ</mi></math> resonance.

Xiu-Li Gao

Zhiguang Xiao

Scrutinizing <math><mrow><mi>π</mi><mi>π</mi></mrow></math> scattering in light of recent lattice phase shifts

A general appearance of two-pole structures is exhibited in a relativistic Friedrichs–Lee model combined with a relativistic quark pair creation model in a consistent manner. This kind of two-pole structure could be found when a $$q\bar{q}$$ <math> <mrow> <mi>q</mi> <mover> <mrow> <mi>q</mi> </mrow> <mrow> <mo>¯</mo> </mrow> </mover> </mrow> </math> state couples to the open-flavor continuum state in the S partial wave. We found that many enigmatic states, such as $$f_0(500)/\sigma $$ <math> <mrow> <msub> <mi>f</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>500</mn> <mo>)</mo> </mrow> <mo>/</mo> <mi>σ</mi> </mrow> </math> , $$K_0^*(700)/\kappa $$ <math> <mrow> <msubsup> <mi>K</mi> <mn>0</mn> <mo>∗</mo> </msubsup> <mrow> <mo>(</mo> <mn>700</mn> <mo>)</mo> </mrow> <mo>/</mo> <mi>κ</mi> </mrow> </math> , $$a_0(980)$$ <math> <mrow> <msub> <mi>a</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>980</mn> <mo>)</mo> </mrow> </mrow> </math> , $$f_0(980)$$ <math> <mrow> <msub> <mi>f</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>980</mn> <mo>)</mo> </mrow> </mrow> </math> , $$D_0^*(2300)$$ <math> <mrow> <msubsup> <mi>D</mi> <mn>0</mn> <mo>∗</mo> </msubsup> <mrow> <mo>(</mo> <mn>2300</mn> <mo>)</mo> </mrow> </mrow> </math> , $$D_{s0}^*(2317)$$ <math> <mrow> <msubsup> <mi>D</mi> <mrow> <mi>s</mi> <mn>0</mn> </mrow> <mo>∗</mo> </msubsup> <mrow> <mo>(</mo> <mn>2317</mn> <mo>)</mo> </mrow> </mrow> </math> , and X(3872), together with another higher state for each, all result from this kind of two-pole structures. Furthermore, an interesting observation is that this kind of two-pole structure will contribute roughly a total of $$180^\circ $$ <math> <msup> <mn>180</mn> <mo>∘</mo> </msup> </math> phase shift for the scattering process in a single channel approximation. This relativistic scheme may provide more insights into the understanding of the properties of non- $$q\bar{q}$$ <math> <mrow> <mi>q</mi> <mover> <mrow> <mi>q</mi> </mrow> <mrow> <mo>¯</mo> </mrow> </mover> </mrow> </math> state. It is also suggested that such two-pole structure could be a common phenomenon which deserves studying both from theoretical and experimental perspectives.

Two-pole structures in a relativistic Friedrichs–Lee-QPC scheme

In this paper, we present how the Friedrichs–Lee model could be extended to the relativistic scenario and be combined with the relativistic quark pair creation model in a consistent way. This scheme could be applied to study the “unquenched” effect of the meson spectra. As an example, if the lowest $$J^{PC}=0^{++}$$ <math> <mrow> <msup> <mi>J</mi> <mrow> <mi>PC</mi> </mrow> </msup> <mo>=</mo> <msup> <mn>0</mn> <mrow> <mo>+</mo> <mo>+</mo> </mrow> </msup> </mrow> </math> $$(u\bar{u}+d\bar{d})/\sqrt{2}$$ <math> <mrow> <mrow> <mo>(</mo> <mi>u</mi> <mover> <mrow> <mi>u</mi> </mrow> <mrow> <mo>¯</mo> </mrow> </mover> <mo>+</mo> <mi>d</mi> <mover> <mrow> <mi>d</mi> </mrow> <mrow> <mo>¯</mo> </mrow> </mover> <mo>)</mo> </mrow> <mo>/</mo> <msqrt> <mn>2</mn> </msqrt> </mrow> </math> bound state in the potential model is coupled to the $$\pi \pi $$ <math> <mrow> <mi>π</mi> <mi>π</mi> </mrow> </math> continuum, two resonance poles could be found from the scattering amplitude for the continuum states. One of them could correspond to the $$f_0(500)/\sigma $$ <math> <mrow> <msub> <mi>f</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>500</mn> <mo>)</mo> </mrow> <mo>/</mo> <mi>σ</mi> </mrow> </math> and the other probably $$f_0(1370)$$ <math> <mrow> <msub> <mi>f</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>1370</mn> <mo>)</mo> </mrow> </mrow> </math> . This scheme might shed more light on why extra states could appear in the hadron spectrum other than the prediction of the quark potential model.

Relativistic Friedrichs–Lee model and quark-pair creation model

We apply the method of QCD sum rules to study the $$s s {\bar{s}} {\bar{s}}$$ <math><mrow><mi>s</mi><mi>s</mi><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow></math> tetraquark states of $$J^{PC} = 0^{-+}$$ <math><mrow><msup><mi>J</mi><mrow><mi>PC</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>-</mo><mo>+</mo></mrow></msup></mrow></math> . We construct all the relevant $$s s {\bar{s}} {\bar{s}}$$ <math><mrow><mi>s</mi><mi>s</mi><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow></math> tetraquark currents, and find that there are only two independent ones. We use them to further construct two weakly-correlated mixed currents. One of them leads to reliable QCD sum rule results and the mass is extracted to be $$2.51^{+0.15}_{-0.12}$$ <math><mrow><mn>2</mn><mo>.</mo><msubsup><mn>51</mn><mrow><mo>-</mo><mn>0.12</mn></mrow><mrow><mo>+</mo><mn>0.15</mn></mrow></msubsup></mrow></math> GeV, suggesting that the X(2370) or the X(2500) can be explained as the $$ss{\bar{s}}{\bar{s}}$$ <math><mrow><mi>s</mi><mi>s</mi><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow></math> tetraquark state of $$J^{PC} = 0^{-+}$$ <math><mrow><msup><mi>J</mi><mrow><mi>PC</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>-</mo><mo>+</mo></mrow></msup></mrow></math> . To verify this interpretation, we propose to further study the $$\pi \pi /K {\bar{K}}$$ <math><mrow><mi>π</mi><mi>π</mi><mo>/</mo><mi>K</mi><mover><mrow><mi>K</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow></math> invariant mass spectra of the $$J/\psi \rightarrow \gamma \pi \pi \eta ^\prime /\gamma K {\bar{K}} \eta ^\prime $$ <math><mrow><mi>J</mi><mo>/</mo><mi>ψ</mi><mo>→</mo><mi>γ</mi><mi>π</mi><mi>π</mi><msup><mi>η</mi><mo>′</mo></msup><mo>/</mo><mi>γ</mi><mi>K</mi><mover><mrow><mi>K</mi></mrow><mrow><mo>¯</mo></mrow></mover><msup><mi>η</mi><mo>′</mo></msup></mrow></math> decays in BESIII to examine whether there exists the $$f_0(980)$$ <math><mrow><msub><mi>f</mi><mn>0</mn></msub><mrow><mo>(</mo><mn>980</mn><mo>)</mo></mrow></mrow></math> resonance.

Rui-Rui Dong

Niu Su

QCD sum rule studies on the $$s s {\bar{s}} {\bar{s}}$$ <math><mrow><mi>s</mi><mi>s</mi><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow></math> tetraquark states of $$J^{PC} = 0^{-+}$$ <math><mrow><msup><mi>J</mi><mrow><mi>PC</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>-</mo><mo>+</mo></mrow></msup></mrow></math>

We study the quasi-two-body decays 
					 by employing the perturbative QCD (PQCD) factorization approach, where the charmonia 
					 represents 
					 and 
					. The corresponding decay channels are studied by constructing the kaon-pion distribution amplitude (DA) 
					, which comprises important final state interactions between the kaon and pion in the resonant region. Relativistic Breit-Wigner formulas are adopted to parameterize the time-like form factor 
					 appearing in the kaon-pion DAs. The SU(3) flavor symmetry breaking effect resulting from the mass difference between the kaon and pion is taken into account, which makes significant contributions to the longitudinal polarizations. The observed branching ratios and the polarization fractions of 
					 are accommodated by tuning hadronic parameters for the kaon-pion DAs. The PQCD predictions for 
					 modes from the same set of parameters can be tested by precise data obtained in the future from LHCb and Belle II experiments.
				

Ya Li

Zhou Rui

Zhen-Jun Xiao

P-wave contributions to B(s)→ψKπ decays in perturbative QCD approach Supported by the National Natural Science Foundation of China (11947013, 11605060, 11775117, 11547020); Ya Li is also Supported by the Natural Science Foundation of Jiangsu Province (BK20190508) and the Research Start-up Funding of Nanjing Agricultural University; Zhou Rui is Supported in part by the Natural Science Foundation of Hebei Province (A2019209449)

We present that, if unitarizing the <math><msup><mi>B</mi><mrow><mo>(</mo><mo>*</mo><mo>)</mo></mrow></msup><msup><mi>B</mi><mrow><mo>(</mo><mo>*</mo><mo>)</mo></mrow></msup></math> scattering amplitudes in the constituent interchange model, one can find two bound-state poles for <math><mo>(</mo><msub><mi>I</mi><mrow><mi>tot</mi></mrow></msub><mo>,</mo><msub><mi>S</mi><mrow><mi>tot</mi></mrow></msub><mo>)</mo><mo>=</mo><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math> <math><mi>B</mi><msup><mi>B</mi><mo>*</mo></msup></math> and <math><msup><mi>B</mi><mo>*</mo></msup><msup><mi>B</mi><mo>*</mo></msup></math> system, which correspond to two <math><mi>I</mi><mo>(</mo><msup><mi>J</mi><mi>P</mi></msup><mo>)</mo><mo>=</mo><mn>0</mn><mo>(</mo><msup><mn>1</mn><mo>+</mo></msup><mo>)</mo></math> doubly bottomed molecular states. Furthermore, it is noticed that the virtual states in (1,0) <math><mi>B</mi><mi>B</mi></math>, (1,1) <math><mi>B</mi><msup><mi>B</mi><mo>*</mo></msup></math>, (1,0) <math><msup><mi>B</mi><mo>*</mo></msup><msup><mi>B</mi><mo>*</mo></msup></math>, and (1,2) <math><msup><mi>B</mi><mo>*</mo></msup><msup><mi>B</mi><mo>*</mo></msup></math> systems could produce enhancements of the squared moduli of the scattering <math><mi>T</mi></math> matrix just above the related thresholds, which might correspond to <math><mi>I</mi><mo>(</mo><msup><mi>J</mi><mi>P</mi></msup><mo>)</mo><mo>=</mo><mn>1</mn><mo>(</mo><msup><mn>0</mn><mo>+</mo></msup><mo>)</mo></math>, <math><mn>1</mn><mo>(</mo><msup><mn>1</mn><mo>+</mo></msup><mo>)</mo></math>, and <math><mn>1</mn><mo>(</mo><msup><mn>2</mn><mo>+</mo></msup><mo>)</mo></math> doubly bottomed molecular states, respectively. The calculation may be helpful for searching for the doubly bottomed molecular state in future experiments.

Meng-Ting Yu

Dian-Yong Chen

Possible molecular states in <math><msup><mi>B</mi><mrow><mo>(</mo><mo>*</mo><mo>)</mo></mrow></msup><msup><mi>B</mi><mrow><mo>(</mo><mo>*</mo><mo>)</mo></mrow></msup></math> scatterings