Electromagnetic properties of Dˉ(∗)Ξc′\bar D^{(*)}\Xi^{\prime}_c, Dˉ(∗)Λc\bar D^{(*)}\Lambda_c, Dˉs(∗)Λc\bar D_s^{(*)}\Lambda_c and Dˉs(∗)Ξc\bar D_s^{(*)}\Xi_c pentaquarks

To elucidate the internal structure of exotic states is one of the central purposes of hadron physics. Motivated by this, we study the electromagnetic properties of $\bar D^{(*)}\Xi^{\prime}_c$, $\bar D^{(*)}\Lambda_c$, $\bar D_s^{(*)}\Lambda_c$ and $\bar D_s^{(*)}\Xi_c$ pentaquarks without strange, with strange and with double strange through QCD light-cone sum rules. We have also evaluated electric quadrupole and magnetic octupole moments of the $\bar D^{*}\Xi^{\prime}_c$, $\bar D^{*}\Lambda_c$, $\bar D_s^{*}\Lambda_c$ and $\bar D_s^{*}\Xi_c$ pentaquarks. The magnetic dipole moment is the leading-order response of a bound system to a soft external magnetic field. Thus, it ensures a prominent platform for the examination of the internal organizations of hadrons governed by the quark-gluon dynamics of QCD. We look forward to the present study stimulating the interest of experimentalists in investigating the electromagnetic properties of the hidden-charm pentaquarks.Comment: 20 pages, 3 tables and 2 figures. To be published in Physics Letters

Electromagnetic properties of the Σc(2800)+\Sigma_{c}(2800)^+ and Λc(2940)+\Lambda_c(2940)^+ states via light-cone QCD

The $\Sigma_{c}(2800)^+$ and $\Lambda_c(2940)^+$ states are among the most interesting and intriguing particles whose internal structures have not yet been elucidated. Inspired by this, the magnetic dipole moments of the $\Sigma_{c}(2800)^+$ and $\Lambda_c(2940)^+$ states with quantum numbers $J^P = \frac{1}{2}^-$ and $J^P = \frac{3}{2}^-$, respectively, are analyzed in the framework of QCD light-cone sum rules, assuming that they have a molecule composed of a nucleon and a $D^{(*)}$ meson. The magnetic dipole moments are obtained as $\mu_{\Sigma_c^{+}}=0.26 \pm 0.05~\mu_N$ and $\mu_{\Lambda_c^{+}}=-0.31 \pm 0.04~\mu_N$. The magnetic dipole moment is the leading-order response of a bound system to a weak external magnetic field. It therefore offers an excellent platform to explore the inner organization of hadrons governed by the quark-gluon dynamics of QCD. Comparison of the findings of this analysis with future experimental results on the magnetic dipole moments of the $\Sigma_{c}(2800)^+$ and $\Lambda_c(2940)^+$ states may shed light on the nature and internal organization of these states. The electric quadrupole and magnetic octupole moments of the $\Lambda_c(2940)^+$ states have also been calculated, and these values are determined to be $\mathcal Q_{\Lambda_c^+} = (0.65 \pm 0.25) \times 10^{-3}$~fm$^2$ and $\mathcal O_{\Lambda_c^+} = -(0.38 \pm 0.10) \times 10^{-3}$~fm$^3$, respectively. The values of the electric quadrupole and magnetic octupole moments show a non-spherical charge distribution. We hope that our estimates of the electromagnetic properties of the $\Sigma_{c}(2800)^+$ and $\Lambda_c(2940)^+$ states, together with the results of other theoretical studies of the spectroscopic parameters of these states, will be useful for their search in future experiments and will help us to define the exact internal structures of these states.Comment: 14 pages, 1 figur

Exploring the magnetic dipole moments of TQQqˉsˉT_{QQ \bar q \bar s} and TQQsˉsˉT_{QQ \bar s \bar s} states in the framework of QCD light-cone sum rules

Motivated by the recent observation of the tetraquark $T_{cc}^{+}$, we investigate the magnetic dipole moments of the possible single and double strange partners, $T_{QQ \bar q \bar s}$ and $T_{QQ \bar s \bar s}$, with the spin-parity $J^{P} = 1^{+}$ by means of the QCD light-cone sum rules. To this end, we model these states as diquark-antidiquark states with different organizations and interpolating currents. The results of magnetic dipole moments obtained using different diquark-antidiquark structures differ from each other, considerably. The magnetic dipole moment is the leading-order response of a bound system to a soft external magnetic field. Therefore, it provides an excellent platform for investigation of the inner structures of hadrons governed by the quark-gluon dynamics of QCD.Comment: 17 Pages, 3 Figures and 2 Tables. To appear in JHE

Gravitational form factors of Δ\Delta baryon via QCD sum rules

The gravitational form factors of a hadron are defined through the matrix elements of the energy-momentum tensor current, which can be decomposed into the quark and gluonic parts, between the hadronic states. These form factors provide important information for answering fundamental questions about the distribution of the energy, the spin, the pressure and the shear forces inside the hadrons. Theoretical and experimental studies of these form factors provide exciting insights on the inner structure and geometric shapes of hadrons. Inspired by this, the gravitational form factors of $\Delta$ resonance are calculated by employing the QCD sum rule approach. The acquired gravitational form factors are used to calculate the composite gravitational form factors like the energy and angular momentum multipole form factors, D-terms related to the mechanical properties like the internal pressure and shear forces as well as the mass radius of the system. The predictions are compared with the existing results in the literature.Comment: 18 Pages, 3Figures and 3 Table

The electromagnetic multipole moments of the possible charm-strange pentaquarks in light-cone QCD

We investigate the electromagnetic properties of possible charm-strange pentaquarks in the framework of the light-cone QCD sum rule using the photon distribution amplitudes. In particular, by calculating the corresponding electromagnetic form factors defining the radiative transitions under consideration we estimate the magnetic dipole and electric quadrupole moments of the pentaquark systems of a charm, an anti-strange and three light quarks. We observe that the values of magnetic dipole moments are considerably large, however, the quadrupole moments are very small. Any future measurements of the electromagnetic parameters under consideration and comparison of the obtained data with the theoretical predictions can shed light on the quark–gluon organization as well as the nature of the pentaquarks

Exploring the magnetic dipole moments of T QQ q ¯ s ¯ TQQq‾s‾ {T}_{QQ\overline{q}\overline{s}} and T QQ s ¯ s ¯ TQQs‾s‾ {T}_{QQ\overline{s}\overline{s}} states in the framework of QCD light-cone sum rules

Abstract Motivated by the recent observation of the tetraquark T cc + $${T}_{cc}^{+}$$ , we investigate the magnetic dipole moments of the possible single and double strange partners, T QQ q ¯ s ¯ $${T}_{QQ\overline{q}\overline{s}}$$ and T QQ s ¯ s ¯ $${T}_{QQ\overline{s}\overline{s}}$$ , with the spin-parity J P = 1+ by means of the QCD light-cone sum rules. To this end, we model these states as diquark-antidiquark states with different organizations and interpolating currents. The results of magnetic dipole moments obtained using different diquark-antidiquark structures differ from each other, considerably. The magnetic dipole moment is the leading-order response of a bound system to a soft external magnetic field. Therefore, it provides an excellent platform for investigation of the inner structures of hadrons governed by the quark-gluon dynamics of QCD

Gravitational transition form factors of N → ∆ via QCD light-cone sum rules

Abstract We present the first direct calculation on the gravitational form factors (GFFs) of the N → ∆ transition using an analytic method, the QCD light-cone sum rules. The matrix element of the quark part of the energy momentum tensor current sandwiched between the nucleon and ∆ states are parameterized in terms of five independent conserved and four independent non-conserved GFFs, for calculation of which we use the distribution amplitudes (DAs) of the on-shell nucleon expanded in terms of functions with different twists. We present the results for two sets of light-cone input parameters. The results indicate that the behavior of the form factors with respect to Q 2 are described by multipole fit functions. Our results may be checked by other phenomenological models including the Lattice QCD as well as future related experiments

Electromagnetic multipole moments of the

We calculate the electromagnetic multipole moments of the $$P_c^+(4380)$$ pentaquark by modeling it as the diquark–diquark–antiquark and $${\bar{D}}^*\Sigma _c$$ molecular state with quantum numbers $$J^P = \frac{3}{2}^-$$. In particular, the magnetic dipole, electric quadrupole and magnetic octupole moments of this particle are extracted in the framework of light-cone QCD sum rule. The values of the electromagnetic multipole moments obtained via two pictures differ substantially from each other, which can be used to pin down the underlying structure of $$P_c^+(4380)$$. The comparison of any future experimental data on the electromagnetic multipole moments of the $$P_c^+(4380)$$ pentaquark with the results of the present work can shed light on the nature and inner quark organization of this state

Magnetic moment of the X1(2900)X_1(2900) state in the diquark-antidiquark picture

Motivated by the discovery of fully open-flavor tetraquark states $X_0(2900)$ and $X_1(2900)$ by the LHCb Collaboration, the magnetic dipole moment of the $X_1(2900)$ state with the quantum numbers $J^{P} = 1^{-}$ is determined in the diquark-antidiquark model using the light-cone sum rules. The magnetic moments of hadrons encompasses useful knowledge on the distributions of charge and magnetization their inside, which can be used to better understand their geometrical shapes and quark-gluon organizations. The observation of the $X_0(2900)$ and $X_1(2900)$ as the first two fully open-flavor multiquark states has opened a new window for investigation of the exotic states. The obtained results in the present study may shed light on the future experimental and theoretical searches on the properties of fully open-flavor multiquark states.Comment: 5 Pages and 1 Figur