https://doi.org/10.1007/s100500070120
Neutron matter with a model interaction
1
The Racah Institute of Physics, Hebrew University, Jerusalem, 91904, Israel
2
A.F. Ioffe Physical-Technical Institute, 194021, St. Petersburg, Russia
3
Petersburg Institute of Nuclear Physics, 188350, Gatchina, Russia
4
Department of Physics, University of Washington, Seattle, WA, 98195, USA
* e-mail: vrshag@thd.pnpi.spb.ru
Received:
17
December
1999
Published online: 15 May 2000
An infinite system of neutrons interacting by a model pair potential is considered. We investigate a case when this potential is sufficiently strong attractive, so that its scattering length a tends to infinity, a → −∞. It appeared, that if the structure of the potential is simple enough, including no finite parameters, reliable evidences can be presented that such a system is completely unstable at any finite density. The incompressibility as a function of the density is negative, reaching zero value when the density tends to zero. If the potential contains a sufficiently strong repulsive core then the system possesses an equilibrium density. The main features of a theory describing such systems are considered.
PACS: 24.10.Cn Many-body theory – / 21.10.Dr Binding energies –
© Società Italiana di Fisica and Springer-Verlag, 2000
