Study of the Low-Energy Characteristics of Neutron-Neutron Scattering in the Effective-Range Approximation

2016/05/16 by V. A. Babenko, Babenko, V. A., N. M. Petrov +1
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th

paper · pdf · doi:10.48550/arxiv.1605.04849

12 pages, 1 table. Slightly modified version of the article published in Physics of Atomic Nuclei

arxiv created 2016/05/24 · arxiv updated 2016/05/25

Abstract

The influence of the mass difference between the charged and neutral pions on the low-energy characteristics of nucleon-nucleon interaction in the ¹S₀ spin-singlet state is studied within the framework of the effective-range approximation. By making use of the experimental singlet neutron-proton scattering parameters and the experimental value of neutron-neutron virtual-state energy, the following values were obtained for the neutron-neutron scattering length and effective range: a_nn=-16.59(117)fm, r_nn=2.83(11)fm. The calculated neutron-neutron scattering length a_nn is in good agreement with one of the two well known and differing experimental values of this quantity, and the calculated effective range r_nn is also in good agreement with present-day experimental results.

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