Catálogo de publicaciones - revistas

<jats:title>Abstract</jats:title> <jats:p>We study the triply heavy baryons <jats:inline-formula> <jats:tex-math><?CDATA $\Omega_{QQQ}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M1.jpg" xlink:type="simple" /> </jats:inline-formula> <jats:inline-formula> <jats:tex-math><?CDATA $(Q=c, b)$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M2.jpg" xlink:type="simple" /> </jats:inline-formula> in the QCD sum rules by performing the first calculation of the next-to-leading order (NLO) contribution to the perturbative QCD part of the correlation functions. Compared with the leading order (LO) result, the NLO contribution is found to be very important to the <jats:inline-formula> <jats:tex-math><?CDATA $\Omega_{QQQ}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M3.jpg" xlink:type="simple" /> </jats:inline-formula>. This is because the NLO not only results in a large correction but also reduces the parameter dependence, making the Borel platform more distinct, especially for the <jats:inline-formula> <jats:tex-math><?CDATA $\Omega_{bbb}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M4.jpg" xlink:type="simple" /> </jats:inline-formula> in the <jats:inline-formula> <jats:tex-math><?CDATA $\overline{\rm{MS}}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M5.jpg" xlink:type="simple" /> </jats:inline-formula> scheme, where the platform appears only at NLO but not at LO. Particularly, owing to the inclusion of the NLO contribution, the renormalization schemes ( <jats:inline-formula> <jats:tex-math><?CDATA $\overline{\rm{MS}}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M6.jpg" xlink:type="simple" /> </jats:inline-formula> and On-Shell) dependence and the scale dependence are significantly reduced. Consequently, after including the NLO contribution to the perturbative part in the QCD sum rules, the masses are estimated to be <jats:inline-formula> <jats:tex-math><?CDATA $4.53^{+0.26}_{-0.11}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M7.jpg" xlink:type="simple" /> </jats:inline-formula> GeV for <jats:inline-formula> <jats:tex-math><?CDATA $\Omega_{ccc}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M8.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $14.27^{+0.33}_{-0.32}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M9.jpg" xlink:type="simple" /> </jats:inline-formula> GeV for <jats:inline-formula> <jats:tex-math><?CDATA $\Omega_{bbb}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M10.jpg" xlink:type="simple" /> </jats:inline-formula>, where the results are obtained at <jats:inline-formula> <jats:tex-math><?CDATA $\mu=M_B$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M11.jpg" xlink:type="simple" /> </jats:inline-formula> with errors including those from the variation of the renormalization scale <jats:italic>μ</jats:italic> in the range <jats:inline-formula> <jats:tex-math><?CDATA $(0.8-1.2) M_B$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M12.jpg" xlink:type="simple" /> </jats:inline-formula>. A careful study of the <jats:italic>μ</jats:italic> dependence in a wider range is further performed, which shows that the LO results are very sensitive to the choice of <jats:italic>μ</jats:italic> whereas the NLO results are considerably better. In addition to the <jats:inline-formula> <jats:tex-math><?CDATA $\mu=M_B$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M13.jpg" xlink:type="simple" /> </jats:inline-formula> result, a more stable value, (4.75-4.80) GeV, for the <jats:inline-formula> <jats:tex-math><?CDATA $\Omega_{ccc}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M14.jpg" xlink:type="simple" /> </jats:inline-formula> mass is found in the range of <jats:inline-formula> <jats:tex-math><?CDATA $\mu=(1.2-2.0) M_B$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_M15.jpg" xlink:type="simple" /> </jats:inline-formula>, which should be viewed as a more relevant prediction in our NLO approach because of <jats:inline-formula> <jats:tex-math><?CDATA $ \mu $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093103_Z-20210729145901.jpg" xlink:type="simple" /> </jats:inline-formula> dependence. </jats:p>

<jats:title>Abstract</jats:title> <jats:p>Recently, the LHCb Collaboration reported their observation of the first two fully open-flavor tetraquark states named <jats:inline-formula> <jats:tex-math><?CDATA $ X_0 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M1.jpg" xlink:type="simple" /> </jats:inline-formula>(2900) and <jats:inline-formula> <jats:tex-math><?CDATA $ X_1 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M2.jpg" xlink:type="simple" /> </jats:inline-formula>(2900) with unknown parity. Inspired by the report, we consider all the possible four-quark candidates for <jats:italic>X</jats:italic>(2900), which include the molecular structure, diquark structure, and their coupling in a chiral quark model via the Gaussian expansion method. To identify the genuine resonances, the real-scaling method (stabilization method) was employed. Our results show that five possible resonances, <jats:inline-formula> <jats:tex-math><?CDATA $ R_0(2914) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M4.jpg" xlink:type="simple" /> </jats:inline-formula> with <jats:inline-formula> <jats:tex-math><?CDATA $ \Gamma = 42 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M5.jpg" xlink:type="simple" /> </jats:inline-formula> MeV, <jats:inline-formula> <jats:tex-math><?CDATA $ R_1(2906) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M6.jpg" xlink:type="simple" /> </jats:inline-formula> with <jats:inline-formula> <jats:tex-math><?CDATA $ \Gamma = 29 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M7.jpg" xlink:type="simple" /> </jats:inline-formula> MeV, <jats:inline-formula> <jats:tex-math><?CDATA $ R_1(2912) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M8.jpg" xlink:type="simple" /> </jats:inline-formula> with <jats:inline-formula> <jats:tex-math><?CDATA $ \Gamma = 10 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M9.jpg" xlink:type="simple" /> </jats:inline-formula> MeV, <jats:inline-formula> <jats:tex-math><?CDATA $ R_J(2920) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M10.jpg" xlink:type="simple" /> </jats:inline-formula> with <jats:inline-formula> <jats:tex-math><?CDATA $ \Gamma = 9 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M11.jpg" xlink:type="simple" /> </jats:inline-formula> MeV, and <jats:inline-formula> <jats:tex-math><?CDATA $ R_J(2842) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M12.jpg" xlink:type="simple" /> </jats:inline-formula> with <jats:inline-formula> <jats:tex-math><?CDATA $ \Gamma = 24 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M13.jpg" xlink:type="simple" /> </jats:inline-formula> MeV, originate in the <jats:inline-formula> <jats:tex-math><?CDATA $ cs\bar{q}\bar{q} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M14.jpg" xlink:type="simple" /> </jats:inline-formula> system. Compared with experimental data, <jats:inline-formula> <jats:tex-math><?CDATA $ R_0(2914) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M15.jpg" xlink:type="simple" /> </jats:inline-formula> with <jats:inline-formula> <jats:tex-math><?CDATA $ \Gamma = 42 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M16.jpg" xlink:type="simple" /> </jats:inline-formula> MeV may be an optimal <jats:inline-formula> <jats:tex-math><?CDATA $ X_0(2900) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M17.jpg" xlink:type="simple" /> </jats:inline-formula> candidate. However, none of the resonances have a similar width for <jats:inline-formula> <jats:tex-math><?CDATA $ X_1(2900) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093104_M18.jpg" xlink:type="simple" /> </jats:inline-formula>. Hence, further study is required. </jats:p>

<jats:title>Abstract</jats:title> <jats:p>We study the decay of the SM Higgs boson to a massive charm quark pair at the next-to-next-to-leading order QCD and next-to-leading order electroweak. At the second order of QCD coupling, we consider the exact calculation of flavour-singlet contributions where the Higgs boson couples to the internal top and bottom quark. Helpful information on the running mass effects related to Yukawa coupling may be obtained by analyzing this process. High precision production for <jats:inline-formula> <jats:tex-math><?CDATA $ h\to c\bar{c}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093105_M2.jpg" xlink:type="simple" /> </jats:inline-formula> within the SM makes it possible to search for new physics that may induce relatively large interactions related to the charm quark. As an example, we evaluate the axion-like particle associate production with a charm quark pair in the Higgs decay and obtain some constraints for the corresponding parameters under some assumptions. </jats:p>

<jats:title>Abstract</jats:title> <jats:p>The BLMSSM is an extension of the minimal supersymmetric standard model (MSSM). Its local gauge group is <jats:inline-formula> <jats:tex-math><?CDATA $SU(3)_C \times SU(2)_L \times U(1)_Y \times U(1)_B \times U(1)_L$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093106_M.jpg" xlink:type="simple" /> </jats:inline-formula>. Supposing the lightest scalar neutrino is a dark matter candidate, we study the relic density and the spin independent cross section of sneutrino scattering off a nucleon. We calculate the numerical results in detail and find a suitable parameter space. The numerical discussion can confine the parameter space and provide a reference for dark matter research. </jats:p>

<jats:title>Abstract</jats:title> <jats:p>We explore constraints on various new physics resonances from four top-quark production based on current experimental data. Both light and heavy resonances are studied in this work. A comparison of the full width effect and narrow width approximation is also presented.</jats:p>

<jats:title>Abstract</jats:title> <jats:p>The magnetic moment ( <jats:inline-formula> <jats:tex-math><?CDATA $ a_\gamma $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093108_M3.jpg" xlink:type="simple" /> </jats:inline-formula>) and weak magnetic moment ( <jats:inline-formula> <jats:tex-math><?CDATA $ a_W $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093108_M4.jpg" xlink:type="simple" /> </jats:inline-formula>) of charged leptons and quarks are sensitive to quantum effects of new physics heavy resonances. In effective field theory, <jats:inline-formula> <jats:tex-math><?CDATA $ a_\gamma $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093108_M5.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $ a_W $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093108_M6.jpg" xlink:type="simple" /> </jats:inline-formula> are induced by two independent operators. Therefore, one has to measure both <jats:inline-formula> <jats:tex-math><?CDATA $ a_\gamma $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093108_M7.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $ a_W $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093108_M8.jpg" xlink:type="simple" /> </jats:inline-formula> to shed light on new physics. The <jats:inline-formula> <jats:tex-math><?CDATA $ a_W $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093108_M9.jpg" xlink:type="simple" /> </jats:inline-formula>'s of the SM fermions are measured at the LEP. In this work, we analyze the contributions from magnetic and weak magnetic moment operators in the processes of <jats:inline-formula> <jats:tex-math><?CDATA $ pp\to H \gamma $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093108_M10.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $ gg\to H \to \tau^+ \tau^- \gamma $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093108_M11.jpg" xlink:type="simple" /> </jats:inline-formula> at the High-Luminosity Large Hadron Collider. We demonstrate that the two processes can cover most of the parameter space that cannot be probed at the LEP. </jats:p>

<jats:title>Abstract</jats:title> <jats:p>We show that the signature of two boosted <jats:italic>W</jats:italic>-jets plus substantial missing energy is very promising for probing heavy charged resonances ( <jats:inline-formula> <jats:tex-math><?CDATA $X^\pm$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093109_M1.jpg" xlink:type="simple" /> </jats:inline-formula>) through the process of <jats:inline-formula> <jats:tex-math><?CDATA $pp\to X^+X^-\to W^+W^- X^0 X^0$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093109_M2.jpg" xlink:type="simple" /> </jats:inline-formula>, where <jats:inline-formula> <jats:tex-math><?CDATA $X^0$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093109_M3.jpg" xlink:type="simple" /> </jats:inline-formula> denotes the dark matter candidate. The hadronic decay mode of the <jats:italic>W</jats:italic> boson is considered to maximize the number of signal events. When the mass split between <jats:inline-formula> <jats:tex-math><?CDATA $X^\pm$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093109_M4.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $X^0$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093109_M5.jpg" xlink:type="simple" /> </jats:inline-formula> is large, the jet-substructure technique must be utilized to analyze the boosted <jats:italic>W</jats:italic>-jet. Here, we consider the process of chargino pair production at the LHC, i.e., <jats:inline-formula> <jats:tex-math><?CDATA $pp\to \chi_1^+\chi^-_1 \to W^+W^-\chi_1^0\chi_1^0$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093109_M6.jpg" xlink:type="simple" /> </jats:inline-formula>, and demonstrate that the proposed signature is able to cover more parameter space of <jats:inline-formula> <jats:tex-math><?CDATA $m_{\chi_1^\pm}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093109_M7.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $m_{\chi_1^0}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093109_M8.jpg" xlink:type="simple" /> </jats:inline-formula> than the conventional signature of multiple leptons plus missing energy. More importantly, the signature of interest is not sensitive to the spin of heavy resonances. </jats:p>

<jats:title>Abstract</jats:title> <jats:p>One method of probing new physics beyond the Standard Model is to check the correlation among higher-dimensional operators in the effective field theory. We examine the strong correlation between the processes <jats:inline-formula> <jats:tex-math><?CDATA $ pp\rightarrow tHq $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093110_M1.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $ pp\rightarrow tq $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093110_M2.jpg" xlink:type="simple" /> </jats:inline-formula>, which both depend on the same three operators. The correlation indicates that, according to the data of <jats:inline-formula> <jats:tex-math><?CDATA $ pp\rightarrow tq $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093110_M3.jpg" xlink:type="simple" /> </jats:inline-formula>, <jats:inline-formula> <jats:tex-math><?CDATA $ \sigma_{tHq} = \big[106.8 \pm 64.8\big]\; {\rm fb} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093110_M4.jpg" xlink:type="simple" /> </jats:inline-formula>, which is significantly below the current upper limit <jats:inline-formula> <jats:tex-math><?CDATA $ \sigma_{tHq}\leqslant 900\; {\rm fb} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093110_M5.jpg" xlink:type="simple" /> </jats:inline-formula>. </jats:p>

<jats:title>Abstract</jats:title> <jats:p>The internal structures of <jats:inline-formula> <jats:tex-math><?CDATA $J^{PC} = 1^{--}, (0,1,2)^{-+}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M1.jpg" xlink:type="simple" /> </jats:inline-formula> charmonium-like hybrids are investigated under lattice QCD in the quenched approximation. We define the Bethe-Salpeter wave function ( <jats:inline-formula> <jats:tex-math><?CDATA $ \Phi_n(r) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M2.jpg" xlink:type="simple" /> </jats:inline-formula>) in the Coulomb gauge as the matrix element of a spatially extended hybrid-like operator ( <jats:inline-formula> <jats:tex-math><?CDATA $ \bar{c}{c}g $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M3.jpg" xlink:type="simple" /> </jats:inline-formula>) between the vacuum and <jats:italic>n</jats:italic>-th state for each <jats:inline-formula> <jats:tex-math><?CDATA $ J^{PC} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M4.jpg" xlink:type="simple" /> </jats:inline-formula>, with <jats:italic>r</jats:italic> being the spatial separation between a localized <jats:inline-formula> <jats:tex-math><?CDATA $ \bar{c}c $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M5.jpg" xlink:type="simple" /> </jats:inline-formula> component and the chromomagnetic strength tensor. These wave functions exhibit some similarities for states with the aforementioned different quantum numbers, and their <jats:italic>r</jats:italic>-behaviors (no node for the ground states and one node for the first excited states) imply that <jats:italic>r</jats:italic> can be a meaningful dynamical variable for these states. Additionally, the mass splittings of the ground states and first excited states of charmonium-like hybrids in these channels are obtained for the first time to be approximately 1.2-1.4 GeV. These results do not support the flux-tube description of heavy-quarkonium-like hybrids in the Born-Oppenheimer approximation. In contrast, a charmonium-like hybrid can be viewed as a “color halo” charmonium for which a relatively localized color octet <jats:inline-formula> <jats:tex-math><?CDATA $ \bar{c}c $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M6.jpg" xlink:type="simple" /> </jats:inline-formula> is surrounded by gluonic degrees of freedom, which can readily decay into a charmonium state along with one or more light hadrons. The color halo picture is compatible with the decay properties of <jats:inline-formula> <jats:tex-math><?CDATA $ Y(4260) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M7.jpg" xlink:type="simple" /> </jats:inline-formula> and suggests LHCb and BelleII to search for <jats:inline-formula> <jats:tex-math><?CDATA $ (0,1,2)^{-+} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M8.jpg" xlink:type="simple" /> </jats:inline-formula> charmonium-like hybrids in <jats:inline-formula> <jats:tex-math><?CDATA $ \chi_{c0,1,2}\eta $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M9.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $ J/\psi \omega (\phi) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093111_M10.jpg" xlink:type="simple" /> </jats:inline-formula> final states. </jats:p>

<jats:title>Abstract</jats:title> <jats:p>In this work, we attempt to construct the Lax connections of <jats:inline-formula> <jats:tex-math><?CDATA $ T\bar{T} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093112_M2.jpg" xlink:type="simple" /> </jats:inline-formula>-deformed integrable field theories in two different ways. With reasonable assumptions, we make an ansatz and find the Lax pairs in the <jats:inline-formula> <jats:tex-math><?CDATA $ T\bar{T} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_9_093112_M3.jpg" xlink:type="simple" /> </jats:inline-formula>-deformed affine Toda theories and the principal chiral model by solving the Lax equations directly. This method is straightforward, but it may be difficult to apply for general models. We then make use of a dynamic coordinate transformation to read the Lax connection in the deformed theory from the undeformed one. We find that once the inverse of the transformation is available, the Lax connection can be read easily. We show the construction explicitly for a few classes of scalar models and find consistency with those determined using the first method. </jats:p>