The Cornell potential that consists of Coulomb and linear potentials has received a great deal of attention in particle physics. In this paper, we present the exact solutions of the Dirac equation with the pseudoscala...The Cornell potential that consists of Coulomb and linear potentials has received a great deal of attention in particle physics. In this paper, we present the exact solutions of the Dirac equation with the pseudoscalar Cornell potential under spin and pseudospin symmetry limits. The energy eigenvalues and corresponding eigenfunctions are given in closed form.展开更多
The Cornell potential consists of Coulomb and linear potentials, i.e.-a/r＋br, that it has received a great deal of attention in particle physics. In this paper, we present exact solutions of the Dirac equation with t...The Cornell potential consists of Coulomb and linear potentials, i.e.-a/r＋br, that it has received a great deal of attention in particle physics. In this paper, we present exact solutions of the Dirac equation with the pseudoscalar Cornell potential under spin and pseudospin symmetry limits in 3＋1 dimensions. The energy eigenvalues and corresponding eigenfunctions are given in explicit forms.展开更多
We study the scattering of J/ψ - J/ψ mesons using quadratic and Cornell potentials in our tetraquark(cccc)system.The system’s wavefunction in the restricted gluonic basis,which is written by utilizing the adiabatic...We study the scattering of J/ψ - J/ψ mesons using quadratic and Cornell potentials in our tetraquark(cccc)system.The system’s wavefunction in the restricted gluonic basis,which is written by utilizing the adiabatic approximation and Hamiltonian,is used via a quark potential model.The resonating group technique is used to obtain the integral equations,which are solved to obtain the unknown inter-cluster dependence of the total wavefunction of our tetraquark system.T-Matrix elements are calculated from the solutions,and eventually,the scattering cross sections are obtained using the two potentials.We compare these cross sections and find that the magnitudes of scattering cross sections of quadratic potential are higher than the Cornell potential.展开更多
文摘The Cornell potential that consists of Coulomb and linear potentials has received a great deal of attention in particle physics. In this paper, we present the exact solutions of the Dirac equation with the pseudoscalar Cornell potential under spin and pseudospin symmetry limits. The energy eigenvalues and corresponding eigenfunctions are given in closed form.
文摘The Cornell potential consists of Coulomb and linear potentials, i.e.-a/r＋br, that it has received a great deal of attention in particle physics. In this paper, we present exact solutions of the Dirac equation with the pseudoscalar Cornell potential under spin and pseudospin symmetry limits in 3＋1 dimensions. The energy eigenvalues and corresponding eigenfunctions are given in explicit forms.
文摘We study the scattering of J/ψ - J/ψ mesons using quadratic and Cornell potentials in our tetraquark(cccc)system.The system’s wavefunction in the restricted gluonic basis,which is written by utilizing the adiabatic approximation and Hamiltonian,is used via a quark potential model.The resonating group technique is used to obtain the integral equations,which are solved to obtain the unknown inter-cluster dependence of the total wavefunction of our tetraquark system.T-Matrix elements are calculated from the solutions,and eventually,the scattering cross sections are obtained using the two potentials.We compare these cross sections and find that the magnitudes of scattering cross sections of quadratic potential are higher than the Cornell potential.
