# Constraining the neutron-proton effective mass splitting in neutron-rich matter

@article{Li2004ConstrainingTN,
title={Constraining the neutron-proton effective mass splitting in neutron-rich matter},
author={Bao-An Li},
journal={Physical Review C},
year={2004},
volume={69},
pages={064602}
}
• Bao-An Li
• Published 15 April 2004
• Physics
• Physical Review C
Within Bombaci's phenomenological single-nucleon potential model we study the neutron-proton effective mass splitting ${m}_{n}^{*}\text{\ensuremath{-}}{m}_{p}^{*}$ in neutron-rich matter. It is shown that an effective mass splitting of ${m}_{n}^{*}l{m}_{p}^{*}$ leads to a symmetry potential that is inconsistent with the energy dependence of the Lane potential constrained by the nucleon-nucleus scattering experimental data.
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#### References

SHOWING 1-10 OF 52 REFERENCES
Optical-model potential in nuclear matter from Reid's hard core interaction
• Physics
• 1974
We describe a method for the calculation of the leading term of a previously proposed low-density expansion for the self-energy of nucleons in nuclear matter. We compute the single-particle complexExpand
Asymmetric nuclear matter equation of state.
• Physics, Medicine
• Physical review. C, Nuclear physics
• 1991
The present calculations of the incompressibility predict a strong softening of the equation of state going from symmetric to asymmetric nuclear matter. Expand
Nuclear transparency to intermediate-energy nucleons from (e,e'p) reactions.
• Physics, Medicine
• Physical review. C, Nuclear physics
• 1992
A simple relation between the nucleon-nucleon scattering cross sections in vacuum and in nuclear matter is proposed. It consistently takes into account the velocity dependence of the nuclear meanExpand
Isospin Physics in Heavy-Ion Collisions at Intermediate Energies
• Physics
• 1998
In nuclear collisions induced by stable or radioactive neutron-rich nuclei a transient state of nuclear matter with an appreciable isospin asymmetry as well as thermal and compressional excitationExpand
Effects of momentum-dependent symmetry potential on heavy-ion collisions induced by neutron-rich nuclei
• Physics
• 2004
Abstract Using an isospin- and momentum-dependent transport model we study effects of the momentum-dependent symmetry potential on heavy-ion collisions induced by neutron-rich nuclei. It is foundExpand
Heavy-ion collision theory with momentum-dependent interactions.
• Physics, Medicine
• Physical review. C, Nuclear physics
• 1987
The characteristics of a stiff equation of state can be obtained with a much softer compressibility in 400 MeV/nucleon heavy ion collisions. Expand
Many Body Theory of Nuclear Matter
• Physics
• 1976
Abstract We combine the many-body theory and the low-density expansion developed by Brueckner, Bethe and others to investigate several properties of the ground state and of single-particle excitedExpand
Transport properties of isospin effective mass splitting
• Physics
• 2004
Abstract We investigate in detail the momentum dependence (MD) of the effective in medium nucleon–nucleon (NN) interaction in the isovector channel. We focus the discussion on transport properties ofExpand
Determination of the Equation of State of Dense Matter
• Physics, Medicine
• Science
• 2002
This work analyzed the flow of matter to extract pressures in excess of 1034 pascals, the highest recorded under laboratory-controlled conditions, and ruled out strongly repulsive nuclear equations of state from relativistic mean field theory and weakly repulsive equation of state with phase transitions at densities less than three times that of stable nuclei. Expand
Production of deuterons and pions in a transport model of energetic heavy ion reactions
• Physics
• 1991
Abstract Green functions are used to derive transport equations with bound-state production and absorption. The equations are valid in the quasiparticle limit and are used to describe deuteronExpand