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

Abstract

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.

Calculation of Binding Energy and Wave Function for Exotic Hidden-Charm Pentaquark

“…Here, the obtained results indicate that the binding energy ranging − 102 ≤ E B ≤ −0:11 for pentaquark P c ð4380Þ is negative. Also, it conforms to calculated results in the literatures [2,[20][21][22][23]. As mentioned above, obtained results are acceptable to a great extent, and they could be considered a clear evidence for the existence of a bound of five-quark state.…”

Tetraquarks as diquark–antidiquark bound systems

“…These particles consist of a charm quark and a light quark (u, d, s). In order to use unrelativistic Schrodinger equation with tetraquark systems, we take heavy diquark and solve homogeneous Lippman-Schwinger equation numerically [11,12] (which is the integral form of Schrodinger equation) for two-body systems composed of diquarkantidiquark .…”

Heavy Mesons Spectroscopy

“…As we know spin dependent interaction in heavy systems is small (of the m −2 order) and can be ignored. The binding energy can also be used to calculate the spin-coupling constant A which is defined as: [8,21] :…”

“…where λ = 1 is the positive eigen-value of the highest value to solve this equation. We use Gauss-Legendre method and integral equation is transformed into [8]:…”