BETHE-SALPETER-EQUATION FOR NON-SELF CONJUGATE MESONS IN A POWER-LAW POTENTIAL

We develop an approach to the solution of the spinless Bethe-Salpeter equation for the different-mass case. Although the calculations are developed for spin-zero particles in any arbitratry spherically symmetric potential, the non-Coulombic effective power-law potential is used as a kernel to produce the spin-averaged bound states of the non-self-conjugate mesons. The analytical formulas are also applicable to the self-conjugate mesons in the equal-mass case. The flavor-independent case is investigated in this work. The calculations are carried out to the third-order correction of the energy series. Results are consistent with those obtained before

B-c and heavy meson spectroscopy in the local approximation of the Schrodinger equation with relativistic kinematics

We present bound state masses of the self-conjugate and non-self-conjugate mesons in the context of the Schrodinger equation taking into account the relativistic kinematics and the quark spins. We apply the usual interaction by adding the spin dependent correction. The hyperfine splittings for the 2S charmonium and 1S bottomonium are calculated. The pseudoscalar and vector decay constants of the B-c meson and the unperturbed radial wave function at the origin are also calculated. We have obtained a local equation with a complete relativistic corrections to a class of three attractive static interaction potentials of the general form V(r) = -Ar-beta + kappa r(-beta) + V-0, with beta = 1, 1/2, 3/4 which can also be decomposed into scalar and vector parts in the form V-V(r) = -Ar-beta + (1 - epsilon)kappa r(beta) and V-S(r) = epsilon kappa r(beta) + V-0; where 0 <= epsilon <= 1. The energy eigenvalues are carried out up to the third order approximation using the shifted large-N-expansion technique

Spectroscopy of B-c meson in a semi-relativistic quark model using the shifted large-N expansion method

We calculate the c (b) over bar mass spectrum, the splitting values and some other properties in the framework of the semirelativistic equation by applying the shifted large-N expansion technique. We use seven different central potentials together with an improved QCD-motivated interquark potentials calculated to two loops in the modified minimal-subtraction ((MS) over bar) scheme. The parameters of these potentials are fitted to generate the semirelativistic bound states of c (b) over bar quarkonium system in close conformity with the experimental and the present available calculated center-of-gravity (c.o.g.) data. Calculations of the energy bound states are carried out up to third order. Our results axe in excellent fit with the results of the other works

HEAVY-QUARK BOUND-STATES IN POTENTIALS WITH THE BETHE-SALPETER-EQUATION

The spinless Bethe-Salpeter equation is solved for three attractive static quark-antiquark potentials of the form V(r) = -ar(-beta)+br(beta)+c, 0 < beta less-than-or-equal-to 1, and the effective non-Coulombic power-law potential of the. form V(r)=ar 0.1+c to obtain the spin-averaged energy levels in bottomonium UPSILON(bbBAR) and charmonium psi(ccBAR) families. The shifted 1/N expansion technique is used. Calculations of the energy eigenvalues are carried out up to third order and parameters of each potential are adjusted to obtain the best agreement with the experimental spin-averaged data (SAD). Flavor-dependent and flavor-independent cases are considered in this work

BOUND-STATE ENERGIES FOR THE EXPONENTIAL COSINE SCREENED COULOMB POTENTIAL

The energy eigenvalues of bound states of an electron in the general exponential cosine screened Coulomb potential are obtained using the shifted 1/N expansion method. The energies for the states from 1s to 8k are calculated from six to eight significant figures. The energy eigenvalues for the 1s, 2s - 2p, 3s - 3d, and 4s - 4f states are also presented as a function of the screening parameter lambda. Results are compared with the ones obtained by other workers. The agreement reduces roughly for large lambda. It is also observed that the convergence of the expansion series increases remarkably as l increases