Using the Hugenholtz-Van Hove theorem, we derive general expressions for the quadratic and quartic symmetry energies in terms of the isoscalar and isovector parts of single-nucleon potentials in isospin asymmetric nuclear matter. These expressions are useful for gaining deeper insights into the micr
Isospin dependence of nuclear matter symmetry energy coefficients
✍ Scribed by Fábio L. Braghin
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 135 KB
- Volume
- 696
- Category
- Article
- ISSN
- 0375-9474
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✦ Synopsis
Generalized symmetry energy coefficients of asymmetric nuclear matter are obtained as the screening functions. The dependence of the isospin symmetry energy coefficient on the neutronproton (n-p) asymmetry may be determined unless by a constant (exponent) Z which depends on microscopic properties. The dependence of the generalized symmetry energy coefficients with Skyrme forces on the n-p asymmetry and on the density, only from 0.5 up to 1.5 ρ 0 , are investigated in the isospin and scalar channels. The use of Skyrme-type effective forces allows us to obtain analytical expressions for these parameters as well as their dependences on the neutron-proton (n-p) asymmetry, density and even temperature. Whereas the density dependence of these coefficients obtained with Skyrme forces is not necessarily realistic the dependence on the n-p asymmetry exhibit a more consistent behaviour. The isospin symmetry energy coefficient (s.e.c.) increases as the n-p asymmetry acquires higher values whereas the isoscalar s.e.c. decreases. Some consequences for the supernovae mechanism are discussed.
📜 SIMILAR VOLUMES
A consistent theory of the spin and isospin excitations in an infinite nuclear system is formulated based on the Ward Takahashi (W T) relations among various many point Green's functions, which are derived from the requirement of the rotational invariance in spin and isospin space, SU(4). Collective