Polarization effects in the equation of state for neutron star matter

Källman, Carl-G.

doi:10.1016/0375-9474(73)90746-x

Cited by 5 publications

(2 citation statements)

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“…Therefore, it is possible to compute the equation of state of neutron matter using the Fermi liquid parameters presented in Section 4.1. This method, which accounts for polarization effects on the equation of state, was first employed by Källman [15].…”

Section: The Equation Of State Of Neutron Mattermentioning

confidence: 99%

“…Our results include the Fermi liquid parameters in the density range of interest for neutron stars as well as the full scattering amplitude for general (non-forward) scattering on the Fermi surface. Using the Fermi liquid parameters, we compute the equation of state, including polarization effects, by integrating the incompressibility [15]. Finally, we compute the 1 S 0 superfluid pairing gap using weak coupling BCS theory.…”

Section: Introductionmentioning

confidence: 99%

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Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state

2003

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Renormalization group methods can be applied to the nuclear many-body problem using the approach proposed by Shankar. We start with the two-body low momentum interaction V low k and use the RG flow from the particle-hole channels to calculate the full scattering amplitude in the vicinity of the Fermi surface. This is a new straightforward approach to the many-body problem which is applicable also to condensed matter systems without long-range interactions, such as liquid 3 He. We derive the one-loop renormalization group equations for the quasiparticle interaction and the scattering amplitude at zero temperature. The RG presents an elegant method to maintain all momentum scales and preserve the antisymmetry of the scattering amplitude. As a first application we solve the RG equations for neutron matter. The resulting quasiparticle interaction includes effects due to the polarization of the medium, the so-called induced interaction of Babu and Brown. We present results for the Fermi liquid parameters, the equation of state of neutron matter and the 1 S 0 superfluid pairing gap.

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Section: The Equation Of State Of Neutron Mattermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%