Four-body calculation of H2(d,p)H3 and

A. Deltuva

¹

,

A. C. Fonseca

²

Abstract

Nucleon transfer reactions in deuteron-deuteron collisions at energies above the three-and fourbody breakup threshold are described using exact four-body equations for transition operators that are solved in the momentum-space framework. Differential cross sections, analyzing powers, polarizations, and spin transfer coefficients are obtained using realistic two-nucleon potentials and including the Coulomb repulsion between protons. Overall good agreement between predictions and experimental data is found. Most remarkable discrepancies are seen around the minima of the differential cross section at higher energies and in the outgoing nucleon polarization at lower energies.

Description of Four- and Five-Nucleon Systems by Solving Faddeev-Yakubovsky Equations in Configuration Space

“…Nevertheless, an accurate description of this system has been achieved by three different groups, successfully benchmarking their results [15]. The Vilnius-Lisbon group has studied this system extensively in a broad energy region, as well as employing different interaction models [29,30,[90][91][92]. One may single out two very challenging energy regions in this system.…”

“…We would like to point out from the very beginning that other rigorous schemes were proposed for solving the ab initio N-body problem. One of the most relevant is that provided by the AGS equations [28], which is strictly equivalent to the FY formalism and has produced very accurate results for the three-and fournucleon problem, always in momentum space [29,30]. We also emphasize that such rigorous mathematical schemes are not necessary when dealing with bound states or simple 1 + (N − 1) elastic scattering processes and that the Schrödinger equation can then be directly solved by several methods.…”

Quasi-free limit in the deuteron-deuteron three-body break-up process

“…Above the break-up thresholds and below the pion-production threshold, hence, at intermediate energies, the 4N database becomes even more scarce [20]. Exact theoretical calculations for four nucleon systems are still limited to the energy ranges below 30 MeV [21][22][23][24][25][26][27][28]. At intermediate energies, there are no ab-initio calculations.…”

Cross Section of Transfer Reactions in $d+d$ Collisions at the Deuteron Beam Energy of 160 MeV

“…Recently, several theoretical calculations for the elastic scattering and the transfer reactions in d-d systems have been performed and developed even above the d-d breakup threshold [1,2]. There also exist calculations for p-3 H and n-3 He systems [3,4].…”

“…[6]. One of the possible reaction channels in deuteron-deuteron collisions at 160 MeV is the proton transfer reaction 2 H(d, 3 He)n. This reaction has been theoretically described up to 30 MeV of the deuteron beam energy, using the exact four-body formalism [1,2]. From the experimental side, there exists only one set of systematic measurements of the cross-section data for the transfer reactions [5] which can be used to test the modern calculations.…”