The magnetic moment of a baryon state is an equally important dynamical observable as its mass, which encodes crucial information of its underlying structure. According to the different color-flavor structure, we have calculated the magnetic moments of the hidden-charm pentaquark states with the isospin $(I,{I}_{3})=(\frac{1}{2},\frac{1}{2})$ and ${J}^{P}={\frac{1}{2}}^{\ifmmode\pm\else\textpm\fi{}}$, ${\frac{3}{2}}^{\ifmmode\pm\else\textpm\fi{}}$, ${\frac{5}{2}}^{\ifmmode\pm\else\textpm\fi{}}$, ${\frac{7}{2}}^{+}$ in the molecular model, the diquark-triquark model, and the diquark-diquark-antiquark model, respectively. Although a good description for the pentaquark mass spectrum and decay patterns has been obtained in all three models, different color-flavor structures lead to different magnetic moments, which can be used to pin down their inner structures and distinguish various models.

Magnetic moments of the hidden-charm pentaquark states

Analytical solutions of the N-dimensional Schrodinger equation for the newly proposed Varshni-Hulthen potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.

/pdf/eigensolutions-of-the-n-dimensional-schrodinger-equation-26tmyd0sfm.pdf

Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model

Bound state solutions of the hyper-radial Klein-Gordon equation under the Deng-Fan potential by WKB and SWKB methods

We consider an exotic baryon (pentaquark) as a bound state of two-body systems composed of a baryon (nucleon) and a meson. We used a baryon-meson picture to reduce a complicated five-body problem to simple two-body problems. The homogeneous Lippmann-Schwinger integral equation is solved in configuration space by using one-pion exchange potential. We calculate the masses of pentaquarks and .

/pdf/calculating-masses-of-pentaquarks-composed-of-baryons-and-532t14keht.pdf

Calculating Masses of Pentaquarks Composed of Baryons and Mesons

Abstract We present a search for a charmed pentaquark decaying strongly to D ( ∗ ) − p . Finding no evidence for such a state, we set limits on the cross-section times branching ratio relative to D ∗ − and D − under particular assumptions about the production mechanism.

Search for a strongly decaying neutral charmed pentaquark FOCUS Collaboration 1

In this paper, we have calculated the masses of mesons containing t-quark and their spins’ coupling coefficients. This was achieved by solving Lippmann-Schwinger equation for the quark-antiquark bound state of heavy mesons in configuration space. Heavy meson masses submitted criteria for the strong nuclear interactive potential between two quarks. We investigated the stability of a few suitable potentials and offered the best of these potentials for heavy mesons.

Identification of the Mass and Stability Interval of Strong Potential in Heavy Mesons

In this study, we investigate the relativistic Klein-Gordon equation analytically for the Deng-Fan potential and Hulthen plus Eckart potential under the equal vector and scalar potential conditions. Accordingly, we obtain the energy eigenvalues of the molecular systems in different states as well as the normalized wave function in terms of the generalized Laguerre polynomials function through the NU method, which is an effective method for the exact solution of second-order linear differential equations.

/pdf/bound-state-solutions-of-three-dimensional-klein-gordon-24nb7jmys2.pdf

Bound State Solutions of Three-Dimensional Klein-Gordon Equation for Two Model Potentials by NU Method

In this paper, we consider an exotic baryon (pentaquark) as a bound state of two-particle systems composed of a baryon (nucleon) and a meson.We used a baryon - meson picture to reduce a complicated five-body problem to a simple two-body problems. The homogeneous Lippmann-Schwinger integral equation is solved in configuration space by using one pion exchange potential. We calculate the masses of pentaquarks $\theta_{c}(uudd\bar{c})$, $\theta_{b}(uudd\bar{b})$.

In this paper, Lippmann-Schwinger equation is solved by using Martin and Cornel potentials to calculate $b\bar{c}$
 energy levels. The results for some energy levels which are not observable, such as those of $t\bar{t}$
 in its short half-life are also predicted. Our calculated energy levels are in good agreement with results of other groups. The stability interval for Yukawa-Linear potential is also studied by investigating the spectrum of eigenvalues.

Heavy Mesons Spectroscopy

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Papers

Calculating Masses of Pentaquarks Composed of Baryons and Mesons

Identification of the Mass and Stability Interval of Strong Potential in Heavy Mesons

Bound State Solutions of Three-Dimensional Klein-Gordon Equation for Two Model Potentials by NU Method

Calculating Masses of Pentaquarks Composed of Baryons and Mesons

Heavy Mesons Spectroscopy