Low-energy parameters of neutron-neutron interaction in the effective-range approximation

The effect of the mass difference between the charged and neutral pions on the low-energy parameters of nucleon-nucleon interaction in the 1 S 0 state is studied in the effective-range approximation. On the basis of experimental values of the singlet parameters of neutron-proton scattering and the e...

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Bibliographic Details
Published in:Physics of atomic nuclei 2013-06, Vol.76 (6), p.684-689
Main Authors: Babenko, V. A., Petrov, N. M.
Format: Article
Language:English
Subjects:
APPROXIMATIONS
EXPERIMENTAL DATA
MASS DIFFERENCE
NEUTRON-NEUTRON INTERACTIONS
NUCLEAR PHYSICS AND RADIATION PHYSICS
Nuclei
Particle and Nuclear Physics
Physics
Physics and Astronomy
PIONS NEUTRAL
PROTON-NEUTRON INTERACTIONS
SCATTERING LENGTHS
VIRTUAL STATES
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Summary:The effect of the mass difference between the charged and neutral pions on the low-energy parameters of nucleon-nucleon interaction in the 1 S 0 state is studied in the effective-range approximation. On the basis of experimental values of the singlet parameters of neutron-proton scattering and the experimental value of the virtual-state energy for the neutron-neutron systemin the 1 S 0 state, the following values were obtained for the neutron-neutron scattering length and effective range: a nn = −16.59(117) fm and r nn = 2.83(11) fm. The calculated values agree well with present-day experimental results.
ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778813060033