The Masses of Heavy Pentaquarks in Non-Relativistic Bethe-Salpeter Quark Model

Abstract

The exotic particles such as the pentaquarks are to strengthen understanding of important interactions and the principle of QCD in which pentaquarks contain two heavy- valence quarks. The structure of two bodies including an antiquark and two-diquark is introduced. A new potential for quark interaction is suggested which includes the logarithm potential, the linear potential, and the spin-spin interaction. The suggested potential is included in the framework of spinless of Bethe-Salpeter equation. A comparison with other works is presented which provides a good description of pentaquarks.

The spectra masses for heavy pentaquark using generalized fractional of the extended Nikiforov-Uvaro method

“…Using the quark masses m c = 1.459 GeV, m u,d = m q = 0.323 GeV, m b = 4.783 GeV Ref. [40]. According to Eqs.…”

“…Additionally, since there are multiple possibilities due to different types of particles involved (i.e., light/heavy quark), it is important that any calculations are done also include contributions from other interactions like gluon exchange between them too; otherwise, results may not be accurate enough for practical applications like predicting properties related to particle production rates, etc... We obtain the numerical results for ground state masses for the pentaquarks model stated in Fig. 2 4.64 [24] [cu]s=0[cu]s=1 ū 5.36 4.33 [25] 4.21 [40] 3.873 [45] [cu] s=1 [cu] s=0 ū 5.55 4.57 [24] 3.882 [45] 5.75 [25] [cu] s=1 [cu] s=0 c 6.29 7.17 [40] 6.047 [48] [cu] s=0 [cu] s=1 c 6.42 -…”

“…[cc]s=1[cc]s=0c 8.42 8.42 [47] [cc]s=0[cc]s=1c 8. 43 -11.19 [24] [bu] s=1 [bu] s=0 ū 11.899 11.17 [25] 11.12 [40] [bu]s=0[bu]s=1 ū 11.203 11.16 [24] 15.95 [25] [bu] s=1 [bu] s=0 b 16.03 16.86 [40] 15.97 [48] [bu] s=0 [bu] As illustrated in Fig. 2, the mass of pentaquarks with two heavy diquarks is calculated, with each diquark containing at least one heavy quark.…”

“…The masses of pentaquarks are shown in Tables IV, V, and VI, with l = 0 set in all cases, the states having negative parity, and our results compared to Refs. [24,25,40,[45][46][47][48]. [cu] s=1 [cu] s=1 ū 5.32 4.76 [25] 5.35 [40] 3.835 [45] 4.72 [24] [cu] s=1 [cu] s=0 ū 5.607 4.87 [25] 5.58 [40] 3.855 [45] 6.15 [25] [cu]s=1[cu]s=0c 6.42 7.12 [40] 5.922 [48] [cu] s=1 [cu] s=1 c 6.34 6.75 [25] 7.27 [40] [cc]s=1[cc]s=0 ū 7.373 6.76 [46] [cc]s=1[cc]s=1 ū 8.41 -…”

Models and potentials in hadron spectroscopy

“…in the framework of spinless Salpeter equation [38]. The pentaquark was considered as an antiquark and two diquarks.…”