Electromagnetic form factors of Λ _c in the space-like momentum region

Abstract

We studied the electromagnetic form factors (EMFFs) of Λc and the contributions of the quark and diquark currents to the EMFFs of Λc in the space-like region in the Bethe-Salpeter equation approach with instantaneous approximation. In this picture, baryon Λc can be regarded as a two-body c(ud) system. We found that for different values of parameters the contribution of quark and diquark currents to the EMFFs of Λc is very different, while their total contribution to the EMFFs of Λc is similar. The EMFFs of Λc are similar to those of other baryons (proton, Ξ − , and Σ + ) with a peak at ω = 1, where ω = v ′•v is the velocity transfer between the initial state (with velocity v) and the final state (with velocity v ′ ) of Λc.

FCNC transitions of $$\Lambda _b$$ to neutron in Bethe–Salpeter equation approach

“…Following our previous work, the BS equation of the q(ud) 00 system in momentum space satisfies the following homogeneous integral equation [37][38][39][40][41][42]44]:…”

Forward-backward asymmetries in $Λ_b \rightarrow Λl^+ l^-$ in Bethe-Salpeter equation approach

“…As shown in Fig. 1, following our previous work the BSE of Λ b (Λ) in momentum space satisfies the homogeneous integral equation [7,8,[25][26][27][28][29][30][31] χ P (p) = S F (λ 1 P + p) d 4 p (2π) 4 K(P, p, q)χ P (q)S D (λ 2 P − p),…”

Rare $Λ_b \rightarrow Λl^+ l^- $ decay in the Bethe-Salpeter equation approach

“…In our work Λ b can be described as a b(ud) 00 system the first and second subscripts correspond to the spin and the isospin of (ud), respectively) system. The BS wave function of the b(ud) 00 system can be defined as the folowing [33][34][35][36][37][38][39]:…”

“…In momentum space, the BS equation for the b(ud) 00 system satisfies the homogeneous integral equation [33][34][35][36][37][38][39]…”

“…V 1 and V 2 are the scalar confinement and one-gluon-exchange terms, respectively. Generally, the b(ud) 00 system needs two scalar functions to describe the BS wave function [33,34,37]…”