Studies in the method of correlated basis functions

Clark, J. W.; Mead, Lawrence R.; Krotscheck, E.; Kürten, K. E.; Ristig, M. L.

doi:10.1016/0375-9474(79)90211-2

Cited by 58 publications

(24 citation statements)

References 74 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To obtain a reasonable energy expectation value, the trial function must adequately describe the short-range geometric correlations induced by the repulsion, which inhibits the close approach of a pair of particles. 43,44,45,46 The simplest choice involves the Jastrow correlation factor…”

Section: The Methods Of Correlated Basis Functions (Cbf)mentioning

confidence: 99%

See 1 more Smart Citation

Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond

Sedrakian¹,

Clark

2006

Series on Advances in Quantum Many-Body Theory

View full text Add to dashboard Cite

This chapter provides a review of microscopic theories of pairing in nuclear systems and neutron stars. Special attention is given to the mean-field BCS theory and its extensions to include effects of polarization of the medium and retardation of the interactions. Superfluidity in nuclear systems that exhibit isospin asymmetry is studied. We further address the crossover from the weak-coupling BCS description to the strong-coupling BEC limit in dilute nuclear systems. Finally, within the observational context of rotational anomalies of pulsars, we discuss models of the vortex state in superfluid neutron stars and of the mutual friction between superfluid and normal components, along with the possibility of type-I superconductivity of the proton subsystem.

show abstract

Section: The Methods Of Correlated Basis Functions (Cbf)mentioning

confidence: 99%

“…The initial microscopic calculations of the effects of medium polarization on pairing were carried out within an alternative many-body approach, the method of Correlated Basis Functions (CBF) 43,44,45,46,47,48,49 (to be described in Sub-sec. 2.5).…”

Section: Polarization Effectsmentioning

confidence: 99%

Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond

Sedrakian¹,

Clark

2006

Series on Advances in Quantum Many-Body Theory

View full text Add to dashboard Cite

show abstract

“…Our calculations are carried out within the method of correlated basis functions (CBF) [33], in which a correlation operator F N (1, ..., N ) for N fermions generates not only a trial ground state wave function but also a complete set of non-orthogonal basis states constructed as follows:…”

Section: Equation Of Statementioning

confidence: 99%

“…The Hamiltonian matrix elements H mn = m|Ĥ|n in the correlated basis may be used to generate perturbative expansions [33] for the ground-state energy and other quantities. For the interaction we will consider essential components of the Argonne V 18 two-nucleon potential [26].…”

Section: Equation Of Statementioning

confidence: 99%

Microscopic study of 1S0 superfluidity in dilute neutron matter

Pavlou¹,

Mavrommatis²,

Moustakidis

et al. 2017

Eur. Phys. J. A

View full text Add to dashboard Cite

Singlet S-wave superfluidity of dilute neutron matter is studied within the correlated BCS method, which takes into account both pairing and short-range correlations. First, the equation of state (EOS) of normal neutron matter is calculated within the Correlated Basis Function (CBF) method in the lowest cluster order using the 1 S0 and 3 P components of the Argonne V18 potential, assuming trial Jastrowtype correlation functions. The 1 S0 superfluid gap is then calculated with the corresponding component of the Argonne V18 potential and the optimally determined correlation functions. The dependence of our results on the chosen forms for the correlation functions is studied, and the role of the P -wave channel is investigated. Where comparison is meaningful, the values obtained for the 1 S0 gap within this simplified scheme are consistent with the results of similar and more elaborate microscopic methods.

show abstract

“…[16][17][18][19][20][21][22][23] To this end, the remainder of the paper is organized as follows. In order to orient the reader, we introduce in the next three Sections some typical examples of lattice Hamiltonians occurring for problems defined respectively in terms of spin operators; electron creation and destruction operators; and lattice gauge field theory operators.…”

Section: In This Context That "One Is Forced To Replace the Exact Hammentioning

confidence: 99%

Microscopic Theories of Quantum Lattice Systems

Bishop

1995

Recent Progress in Many-Body Theories

View full text Add to dashboard Cite

Studies in the method of correlated basis functions

Cited by 58 publications

References 74 publications

Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond

Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond

Microscopic study of 1S0 superfluidity in dilute neutron matter

Microscopic Theories of Quantum Lattice Systems

Contact Info

Product

Resources

About