Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
- Department of Physics and Astronomy, Stony Brook University, New York 11794-3800 (United States)
We study the equation of state for symmetric nuclear matter using a ring-diagram approach in which the particle-particle hole-hole (pphh) ring diagrams within a momentum model space of decimation scale {lambda} are summed to all orders. The calculation is carried out using the renormalized low-momentum nucleon-nucleon (NN) interaction V{sub low-k}, which is obtained from a bare NN potential by integrating out the high-momentum components beyond {lambda}. The bare NN potentials of CD-Bonn, Nijmegen, and Idaho have been employed. The choice of {lambda} and its influence on the single particle spectrum are discussed. Ring-diagram correlations at intermediate momenta (k{approx_equal}2 fm{sup -1}) are found to be particularly important for nuclear saturation, suggesting the necessity of using a sufficiently large decimation scale so that the above momentum region is not integrated out. Using V{sub low-k} with {lambda}{approx}3 fm{sup -1}, we perform a ring-diagram computation with the above potentials, which all yield saturation energies E/A and Fermi momenta k{sub F}{sup (0)} considerably larger than the empirical values. On the other hand, similar computations with the medium-dependent Brown-Rho scaled NN potentials give satisfactory results of E/A{approx_equal}-15 MeV and k{sub F}{sup (0)}{approx_equal}1.4 fm{sup -1}. The effect of this medium dependence is well reproduced by an empirical three-body force of the Skyrme type.
- OSTI ID:
- 21286925
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 79, Issue 5; Other Information: DOI: 10.1103/PhysRevC.79.054004; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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