Variational and parquet-diagram calculations for neutron matter. I. Structure and Energetics

Abstract

We develop the variational/parquet diagram approach to the structure of nuclear systems with strongly state-dependent interactions. For that purpose, we combine ideas of the general Jastrow-Feenberg variational method and the local parquet-diagram theory for bosons with state-dependent interactions (R. A. Smith and A. D. Jackson, Nucl. Phys. {\bf 476}, 448 (1988)). The most tedious aspect of variational approaches, namely the symmetrization of an operator dependent variational wave function, is thereby avoided. We carry out calculations for neutron matter interacting via the Reid and Argonne $v_6$ models of the nucleon-nucleon interaction. While the equation of state is a rather robust quantity that comes out reasonably well even in very simplistic approaches, we show that effective interactions, which are the essential input for calculating dynamic properties, depend sensitively on the quality of the treatment of the many-body problem.

References in corpus (15)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Strongly paired fermions: Cold atoms and neutron matter
• Superfluidity in nuclear systems and neutron stars
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• A New Measurement of the 1S0 Neutron-Neutron Scattering Length using the Neutron-Proton Scattering Length as a Standard
• Nuclear and neutron-star matter from local chiral interactions
• Comparative study of neutron and nuclear matter with simplified Argonne nucleon-nucleon potentials
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Weak response of cold symmetric nuclear matter at three-body cluster level
• Correlation effects on the weak response of nuclear matter
• Single Particle and Fermi Liquid Properties of He-3/--He-4 Mixtures: A Microscopic Analysis
• Microscopic Study of ${}^1{S}_0$ Superfluidity in Dilute Neutron Matter
• ${}^1{S}_0$ pairing in neutron matter
• Superfluid Gap in Neutron Matter from a Microscopic Effective Interaction
• Variational and Parquet-diagram theory for strongly correlated normal and superfluid systems

Cited by in corpus (4)

• Variational and parquet-diagram calculations for neutron matter. IV. Spin-orbit interactions and linear response
• Variational and parquet-diagram calculations for neutron matter. III. S-wave pairing
• Variational and parquet-diagram calculations for neutron matter. II. Twisted Chain Diagrams
• The nature of short-ranged correlations in nuclear systems