Deuteron Electric Quadrupole and Octupole Polarizabilities

Abstract

The direct transition-matrix approach to determination of the electric polarizabilities of quantum bound systems developed in my recent work 1 is applied to study the electric multipole polarizabilities of a two-particle bound complex with a central interaction between the particles. Expressions for the electric quadrupole and octupole polarizabilities of the deuteron are derived and their values in the case of the S-wave separable interaction potential are calculated.

Analytical transition-matrix treatment of electric multipole polarizabilities of hydrogen-like atoms

“…As shown in the preceding work [21], the operatort C 0 (E) at the point E = −b has the factorable formt…”

“…The corresponding calculations of the electric dipole, quadrupole and octupole polarizabilities of the deuteron have recently been performed with the application of the t-matrix formalism in Ref. [18].…”

Analytical solution of the integral equation for partial wave Coulomb t-matrices at excited-state energy

“…The knowledge of partial-wave Coulomb transition matrix is necessary to determine the electric 2 λ -pole polarizabilities of the two-particle Coulomb system α λ (λ = 1, 2 • • •) in the state with the energy E n [23,24].…”

Analytical solutions for three-dimensional Coulomb transition matrix at negative energy and integer values of interaction parameter

“…The study of properties of the two-particle Coulomb transition matrix is the topical problem, which arises in both the atomic and nuclear physics in connection with formulation and solution of the equations describing few-body systems which contain the charged particles. A knowledge of the two-particle Coulomb transition matrix is necessary in particular to determine the electric 2 λ -pole polarizabilities of the two-body atomic and nuclear systems [12,13].…”