2019 Impact factor 2.176
Hadrons and Nuclei
Eur. Phys. J. A 9, 287-292

Screened Coulomb potentials for astrophysical nuclear fusion reactions

T.E. Liolios

European Center for Theoretical Studies in Nuclear Physics and Related Areas, Villa Tambosi, I-38050 Villazzano (TN), Italy
University of Thessaloniki, Department of Theoretical Physics, Thessaloniki 54006, Greece
Hellenic War College, BST 903, Greece
theoliol@physics.auth.gr

Received: 19 May 2000 / Revised version: 28 August 2000
Communicated by V.V. Anisovich

Abstract
The electron-screening acceleration of laboratory fusion reactions at astrophysical energies is an unsolved problem of great importance to astrophysics. That effect is modeled here by considering the fusion of hydrogen-like atoms whose electron probability density is used in Poisson's equation in order to derive the corresponding screened Coulomb potential energy. That way atomic excitations and deformations of the fusing atoms can be taken into account. Those potentials are then treated semiclassically in order to obtain the screening (accelerating) factor of the reaction. By means of the proposed model the effect of a superstrong magnetic field on laboratory hydrogen fusion reactions is investigated here for the first time showing that, despite the considerable increase in the cross-section of the dd reaction, the pp reaction is still too slow to justify experimentation. The proposed model is finally applied on the \ensuremath{\mathsf{H^{2}\left(
d,p\right) H^{3}}} fusion reaction describing satisfactorily the experimental data although some ambiguity remains regarding the molecular nature of the deuteron target. Notably, the present method gives a sufficiently high screening energy for hydrogen fusion reactions so that the take-away energy of the spectator nucleus can also be taken into account.

PACS
25.10.+s Nuclear reactions involving few-nucleon systems - 25.45.-z 2H-induced reactions


Copyright Società Italiana di Fisica, Springer-Verlag 2000