Bethe–Salpeter wave functions in integrable models

THE SPINLESS SALPETER EQUATION AND MESON DYNAMICS

Applying the variational method, the spinless reduced Bethe-Salpeter (RBS) equation is solved for the mesonic systems, and the mass spectra are obtained. The method is applied to the Hamiltonian with the Gaussian and hydrogen-type trial wave functions, and different potential models are examined. The results for the different potentials are in challenge in light mesons, while they are consisten...

Quark Schwinger-Dyson evaluation of the l1 ,l2 coefficients in the chiral Lagrangian

Using a systematic expansion of the quark-antiquark Bethe-Salpeter wave functions in the relativistic quark model and working to O(P) in the chiral limit, we are able to derive theoretical expressions relating the coefficients of the chiral Lagrangian l1 ,l2 to the underlying quark-antiquark wave functions and interaction kernels. This is accomplished by using a novel technique based on a Ward ...

Bethe Ansatz works for integrable model

Exploring Skewed Parton Distributions with Two-body Models on the Light Front II: covariant Bethe-Salpeter approach

We explore skewed parton distributions for two-body, light-front wave-functions. In order to access all kinematical régimes, we adopt a covariant Bethe-Salpeter approach, which makes use of the underlying equation of motion (here the Weinberg equation) and its Green’s function. Such an approach allows for the consistent treatment of the non-wave function vertex (but rules out phenomenological w...

Bethe Ansatz solution of the open XX spin chain with nondiagonal boundary terms

We consider the integrable open XX quantum spin chain with nondiagonal boundary terms. We derive an exact inversion identity, using which we obtain the eigenvalues of the transfer matrix and the Bethe Ansatz equations. For generic values of the boundary parameters, the Bethe Ansatz solution is formulated in terms of Jacobian elliptic functions.