Triton photodisintegration in three-dimensional approach

Abstract

Abstract. Two-and three-particles photodisintegration of the triton is investigated in a three-dimensional (3D) Faddeev approach. For this purpose the Jacobi momentum vectors for three particles system and spinisospin quantum numbers of the individual nucleons are considered. Based on this picture the three-nucleon Faddeev integral equations with the two-nucleon interaction are formulated without employing the partial wave decomposition. The single nucleon current as well as π− and ρ− like exchange currents are used in an appropriate form to be employed in 3D approach. The exchange currents are derived from AV18 NN force. The two-body t-matrix, Deuteron and Triton wave functions are calculated in the 3D approach by using AV18 potential. Benchmarks are presented to compare the total cross section for the two-and threeparticles photodisintegration in the range of Eγ < 30 M eV . The 3D Faddeev approach shows promising results.

A Three-Dimensional Treatment of the Three-Nucleon Bound State

“…[1,2]) have a very rich spin and momentum structure, so calculations of the 3N system based on standard partial wave representations are very tedious [3]. Recently, the Faddeev equations for the 3N system have been formulated directly with vector variables [4,5,6,7]. In contrast to Refs.…”

“…In contrast to Refs. [4,5,6], where spin and isospin couplings are treated explicitly, the key ingredient in Ref. [7] is an operator representation of the 3N bound state.…”

H3 and He3 calculations without angular momentum decomposition

“…is solved for various values of the energy E. Once a solution to (6) is found such that λ = 1 then ψ is also a solution to (5) and E is the bound state energy. The operatorǍ can be split into several parts that correspond to the various operators that appear in (2). These parts correspond to the application of1 +P (1) ) onto the 3N state (represented by the set of scalar functions ψ).…”

“…The operator Ǎ can be split into several parts that correspond to the various operators that appear in (2). These parts correspond to the application of 1 + P ( Ǎ1+P ), Ǧ0 (E) V ( ǍG0V ), Ǧ0 (E) V (1) ( ǍG0V (1) ) onto the 3N state (represented by the set of scalar functions ψ).…”

“…The latter is explored in this paper for the 3 He bound state. Some introductory applications of the 3D approach were investigated by various research groups [1,2,3]. A very good, general introduction to the 3D approach is given in [4].…”