(1) 2) vertex models and analytic Bethe ansätze We introduce fusion U q (G (1) 2) vertex models related to fundamental representations. The eigenvalues of their row to row transfer matrices are derived through analytic Bethe ansätze. By combining these results with our previous studies on functional relations among transfer matrices(the T-system), we conjecture explicit eigenvalues for a wide c...

In the diquark–quark model of the nucleon including scalar and axialvector di-quarks we compare solutions of the ladder Bethe–Salpeter equation in the instantaneous Salpeter approximation and in the fully covariant (i.e. four–dimensional) treatment. We obtain that the binding energy is severely underestimated in the Salpeter approximation. For the electromagnetic form factors of the nucleon we ...

In this paper, we construct an analytical solution of the one-dimensional spinless Salpeter equation with a Coulomb potential supplemented by a hard core interaction, which keeps the particle in the x positive region. 03.65.Pm,03.65.Ge Typeset using REVTEX Chercheur I.I.S.N. E-mail: [email protected] 1

The electromagnetic E1 and M1 transitions in heavy quarkonia (c¯ c , b ¯ b , c ¯ b) and the magnetic moment of the B ± c are calculated within the framework of the covariant Blankenbecler-Sugar (BSLT) equation. The aim of this paper is to study the effects of two-quark exchange current operators which involve the Q ¯ Q interaction, that arise in the BSLT (or Schrödinger) reduction of the Bethe-...

We show that there are no dynamic screening corrections to the Salpeter’s enhancement factor in the weak-screening limit. Subject headings: nuclear reactions

We review some important topics related to the semirelativistic description of bound states by the spinless Salpeter equation: the special case of the Coulomb interaction, numerical approximation methods, and a way to avoid the problematic square-root operator of the relativistic kinetic energy.

We present a systematic algebraic and numerical investigation of the instantaneous Bethe-Salpeter equation. Emphasis is placed on confining interaction kernels of the Lorentz scalar, time component vector, and full vector types. We explore stability of the solutions and Regge behavior for each of these interactions, and conclude that only time component vector confinement leads to normal Regge ...