Semilocal approach to nonlocal equations

Bulgac, Aurel

doi:10.1016/0375-9474(88)90612-4

Cited by 4 publications

(9 citation statements)

References 16 publications

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“…The problem is that often we cannot assume k F s 0 to be small, particularly at surfaces. Unfortunately, a well defined systematic approximate scheme to construct V (r) and µ(r) is only known for non-local potentials in one-dimension [18]. Even for the simple spherically symmetric three dimensional case a satisfactory solution can be found only in some particular cases.…”

Section: The Generalized Local Approximationmentioning

confidence: 99%

“…The first one, formal and general in nature, is essentially a summary of a more comprehensive reasoning presented in Ref. [18]. The second argument is more physical, but will be presented by putting in perspective the different approximation schemes for the particular case of a jellium model for metallic clusters.…”

Section: The Generalized Local Approximationmentioning

confidence: 99%

“…A comprehensive overview on this and similar approaches is presented in Ref. [18]. One might be tempted to use Eq.…”

Section: The Generalized Local Approximationmentioning

confidence: 99%

“…This method is partially inspired by early attempts to treat the exchange term in a systematic way, put forward mostly in nuclear physics [15][16][17][18]. The basic idea of the GLA is to replace the OEP Schrödinger equation (5) by a generalized local Schrödinger equation with a coordinate dependent effective mass…”

Section: The Generalized Local Approximationmentioning

confidence: 99%

“…In spite of this, the discussion presented above and the insight provided by Refs. [15,16,18] motivated us to consider the variational ansatz in Eq. (8) as a very natural one.…”

Section: The Generalized Local Approximationmentioning

confidence: 99%

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Generalized local approximation to the exchange potential

1995

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Section: The Generalized Local Approximationmentioning

confidence: 99%

Section: The Generalized Local Approximationmentioning

confidence: 99%

“…A comprehensive overview on this and similar approaches is presented in Ref. [18]. One might be tempted to use Eq.…”

Section: The Generalized Local Approximationmentioning

confidence: 99%

Section: The Generalized Local Approximationmentioning

confidence: 99%

“…In spite of this, the discussion presented above and the insight provided by Refs. [15,16,18] motivated us to consider the variational ansatz in Eq. (8) as a very natural one.…”

Section: The Generalized Local Approximationmentioning

confidence: 99%

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Generalized local approximation to the exchange potential

1995

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Green's function for nonlocal potentials

Balantekin

Beacom

Ribeiro

1998

J. Phys. G: Nucl. Part. Phys.

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The single-particle nuclear potential is intrinsically nonlocal. In this paper, we consider nonlocalities which arise from the many-body and fermionic nature of the nucleus. We investigate the effects of nonlocality in the nuclear potential by developing the Green's function for nonlocal potentials. The formal Green's function integral is solved analytically in two different limits of the wavelength as compared to the scale of nonlocality. Both results are studied in a quasi-free limit. The results illuminate some of the basic effects of nonlocality in the nuclear medium.

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Minimal nuclear energy density functional

et al. 2018

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We present a minimal nuclear energy density functional (NEDF) called "SeaLL1" that has the smallest number of possible phenomenological parameters to date. SeaLL1 is defined by 7 significant phenomenological parameters, each related to a specific nuclear property. It describes the nuclear masses of even-even nuclei with a mean energy error of 0.97 MeV and a standard deviation 1.46 MeV, two-neutron and two-proton separation energies with rms errors of 0.69 MeV and 0.59 MeV respectively, and the charge radii of 345 even-even nuclei with a mean error r = 0.022 fm and a standard deviation σ r = 0.025 fm. SeaLL1 incorporates constraints on the equation of state (EoS) of pure neutron matter from quantum Monte Carlo calculations with chiral effective field theory two-body (NN) interactions at next-to-next-to-next-to leading order (N2LO) level and three-body (NNN) interactions at the next-to-next-to leading order (N2LO) level. Two of the seven parameters are related to the saturation density and the energy per particle of the homogeneous symmetric nuclear matter, one is related to the nuclear surface tension, two are related to the symmetry energy and its density dependence, one is related to the strength of the spin-orbit interaction, and one is the coupling constant of the pairing interaction. We identify additional phenomenological parameters that have little effect on ground-state properties, but can be used to fine-tune features such as the Thomas-Reiche-Kuhn sum rule, the excitation energy of the giant dipole and Gamow-Teller resonances, the static dipole electric polarizability, and the neutron skin thickness.

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Semilocal approach to nonlocal equations

Cited by 4 publications

References 16 publications

Generalized local approximation to the exchange potential

Generalized local approximation to the exchange potential

Green's function for nonlocal potentials

Minimal nuclear energy density functional

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