16678898
CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS
We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.
120840040
FORMFACTORS OF SEMILEPTONIC DECAYS OF B- AND D-MESONS IN QCD
119464625
BETHE ANSATZ FOR NON-COMPACT GROUPS: THE PAIRING MODELS FOR BOSONS
We discuss the construction of the exactly solvable pairing models for bosons in the framework of the Quantum Inverse Scattering method. It is stressed that this class of models naturally appears in the quasiclassical limit of the algebraic Bethe ansatz transfer matrix. We propose the new pairing Hamiltonians for bosons, depending on the additional parameters. It is pointed out that the new class of the pairing models can be obtained from the fundamental transfer-matrix. The possible new application of the pairing models for confined bosons in the physics of helium nanodroplets is pointed out.
115173175
Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and Gaudin in the context of the problem of one-dimensional fermions with δfunction interaction.
124562256
The Width of the Decay $\bar{B}0 \to \pi^+ e^- \bar{\nu}_e$ in {QCD}
Abstract The formfactor of the decay B 0 → π + e − v e is found in the physical region of the transverse momentum squared by means of the QCD sum ryles method. The full width of the decay is estimated. The results can serve as a basis for the determination of the Kobayashi-Maskawa matrix element for the b → u transition.
119314906
On the universal relations for the prefactors in correlation functions of 1D quantum liquids
For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.
121005537
Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction