The resummation L-factor in the relativistic quasipotential approach

Abstract

We obtain a new relativistic Coulomb-like resummation factor (L-factor) for an arbitrary orbital moment ≥ 0. We work within the fully covariant quasipotential approach in quantum field theory formulated in the relativistic configuration representation in the case of two interacting relativistic particles with arbitrary masses.

Relativistic Coulomb S-factor of Two Spinor Particles with Arbitrary Masses

“…A relativistic Coulomblike resummation factor for arbitrary masses and orbital moment ℓ ≥ 1, called the L-factor, was investigated in Ref. [45].…”

“…Refs. [42,44,45,54]), we obtain the resulting solution which does not contain the i-periodic constant:…”

“…( 33) reproduces exactly the spinless wave function (see Refs. [44,45]). This circumstance serves as a hint that we can approximate the wave function (33) by setting the oscillating factor exp (iα s a ′ sinh x/4) equal to one; such an approximation preserves all the symmetry characteristics of the solution (33) and allows one to present the resulting wave function (for the s-wave state) in an explicit analytical form.…”

Form factor for a two-particle system within a relativistic quasipotential approach: Case of arbitrary masses and of a vector current

“…In the case of unequal quark masses (m 1 = m 2 ), expression (23) for the matrix element of the vector-current operator features additionally its transverse component, which breaks the transverseness condition in (25). Therefore, the 4-vector in expression (23) can be represented in the form…”

“…For the bound-state level n at the energy M n , the radial wave function corresponding to the exact solution of the RQP equation (20) with the Coulomb quasipotential (60) has the form [24][25][26] ϕ (r, χ n = iκ n ) = N ,n (κ n )(−rm ) ( +1)…”