Inadequacies of the Nonrelativistic <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>3</mn><mi mathvariant="italic">N</mi></math></span> Hamiltonian in Describing the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">n</mi><mi></mi><mo>+</mo><mi></mi><mi mathvariant="italic">d</mi></math></span> Total Cross Section

W. P. Abfalterer; F. B. Bateman; F. S. Dietrich; Ch. Elster; R. W. Finlay; W. Glöckle; J. Golak; R. C. Haight; D. Hüber; G. L. Morgan; H. Witala

doi:10.1103/PhysRevLett.81.57

Inadequacies of the Nonrelativistic $3 N$ Hamiltonian in Describing the $n + d$ Total Cross Section

W. P. Abfalterer, F. B. Bateman, F. S. Dietrich, Ch. Elster, R. W. Finlay, W. Glöckle, J. Golak, R. C. Haight, D. Hüber, G. L. Morgan, and H. Witala

Phys. Rev. Lett. 81, 57 – Published 6 July 1998

Abstract

New high-precision measurements of the neutron total cross section for hydrogen and the deuterium-hydrogen cross section difference were performed for neutron energies between 7 and 600 MeV. The results are compared with state-of-the-art Faddeev calculations of the neutron-deuterium system up to 300 MeV. Above 100 MeV, this comparison reveals significant limitations of the nonrelativistic $3 N$ Hamiltonian using nucleon-nucleon forces only.

Received 30 December 1997

DOI:https://doi.org/10.1103/PhysRevLett.81.57

Authors & Affiliations

W. P. Abfalterer¹, F. B. Bateman¹, F. S. Dietrich², Ch. Elster³, R. W. Finlay³, W. Glöckle⁴, J. Golak⁵, R. C. Haight¹, D. Hüber^1,4, G. L. Morgan¹, and H. Witala^4,5

¹Los Alamos National Laboratory, Los Alamos, New Mexico 87545
²Lawrence Livermore National Laboratory, Livermore, California 94550
³Institute of Nuclear and Particle Physics, and Department of Physics, Ohio University, Athens, Ohio 45701
⁴Institute for Theoretical Physics II, Ruhr-University Bochum, D-44780 Bochum, Germany
⁵Institute of Physics, Jagellonian University, PL-30059 Cracow, Poland