The two- and three-cluster fish bone model with saturation

Saitō, Sakae; Akaishi, Yoshinori; Klar, H.; Nakaichi-Maeda, S.; Schmid, Erich W.; Spitz, Gerhard

doi:10.1007/bf01415716

Cited by 5 publications

(6 citation statements)

References 12 publications

(18 reference statements)

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“…The potential W may be interpreted as the kinetic energy density arising from the Jastrow correlation, folded over the internal motion. The third term is a rather weak surface potential, 1 h 2 (V J) 2 U/J= 42p j2 9 (8) It arises from the first one of two off-shell transformations which have been discussed in [1]. This transformation also produces the J in the denominator of the first two terms of P~ and the hat on Ve reminds us that it has been carried out.…”

Section: The Fish Bone Optical Model With Saturationmentioning

confidence: 93%

“…From an earlier 3e calculation [16] we know that the direct part of the ~c~ potential would have to become zero, or even positive, near the origin in order to prevent overbinding. We conclude that three-cluster potentials, which do also arise from Jastrow correlations [1], are mainly responsible for saturation in multicluster systems. The strength of the three-body potential which has been found in the AAc~ system [2] supports this assertion.…”

Section: Ad 3)mentioning

confidence: 98%

“…In a preceding paper [1] an extension of the fish bone optical model has been presented. The new formalism is valid for two and three clusters and takes into account Jastrow-type hard core correlations between the constituents.…”

Section: Introductionmentioning

confidence: 99%

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The combined influence of the Pauli principle and saturation on the effective? and? ? interactions

1985

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The recently developed fish bone optical model with saturation has been applied to n e and ee scattering. Short ranged nucleon-nucleon correlations, which are responsible for nuclear saturation, have an influence both on the local potential part and on the exchange potential. The local potential becomes less attractive in the inner region and steeper in the surface region; it is better represented by a Woods Saxon shape than by a gaussian. A modification of the exchange potential is caused by the effect of short range correlations on the resonating group norm kernel. It is seen that short ranged nucleonnucleon correlations have no dramatic effect on two-cluster optical potentials. The present calculations rather support conventional phenomenological approaches. Together with older results one may conclude that, in multicluster systems, saturation is predominantly carried by three-and multicluster forces.

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Section: The Fish Bone Optical Model With Saturationmentioning

confidence: 93%

Section: Ad 3)mentioning

confidence: 98%

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The combined influence of the Pauli principle and saturation on the effective? and? ? interactions

1985

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“…The Pauli effect has been studied and brought to a simpler mathematical form [5]. The effect of short ranged correlations of the constituents [6] has been studied and three-cluster potentials have been investigated [7]. The next step in the systematic study of general features of effective interactions will be the investigation of the influence of cluster-distortion and reaction channels.…”

Section: Introductionmentioning

confidence: 99%

Orthogonalization of function spaces in the resonating group model

Schmid

Spitz

1985

Z Physik A

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A coupled-channel resonating group equation for orthogonal channel spaces is derived. It follows from the common resonating group equation by a recursion relation. The recursion extracts from higher channels all overlaps with lower channels, such that the higher channels become corrections to the lower ones. A physically meaningful definition of elimination potentials becomes possible. The new coupled channel resonating group equation allows the derivation of physical effective potentials by eliminating small corrections, only. It also allows the derivation of technical potentials, i.e. potentials with an unphysical off-shell behaviour, when the dominant part of the equation is eliminated. A numerical example demonstrates that linear dependence of the test function space is not harmful to the new equation.

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“…Electromagnetic radiation can excite collective oscillations of conduction electrons in metallic nanoparticles, known as localized surface plasmon resonances (LSPRs). These LSPRs of individual metal nanoparticles not only can be tuned according to their size, shape, composition, and environment, − but can also be altered through near-field electromagnetic coupling between the neighboring nanoparticles. − This phenomenon has been widely demonstrated, with the simplest case being a nanoparticle dimer in which two nanoparticles are separated by a small gap. − …”

mentioning

confidence: 99%

Understanding Quantum Plasmonics from Time-Dependent Orbital-Free Density Functional Theory

Xiang

Zhang

et al. 2016

J. Phys. Chem. C

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Using time-dependent orbital-free density functional theory, we perform quantum mechanical simulations to understand plasmonic responses in sodium nanoparticle dimers and trimers. The electronic structure, optical absorption, electric field enhancement, and photoinduced tunneling current are examined. For dimers, the maximum field enhancement is reached at a gap distance of 6 Å, below which a conductive channel is formed. The tunneling current peaks at the resonant energy of the charge-transfer plasmon (CTP). One such CTP is formed in symmetric linear trimers, and it splits into two in asymmetric linear trimersone corresponds to a "global" and the other a "local" oscillation as a result of constructive and destructive interferences between the CTPs of the corresponding dimers. The interference leads to "nanofocusing" where the intensity of the "global" mode reaches its maximum while the "local" mode is quenched completely. Similarly, the electric field can be tuned to be localized at one of the two gaps and vanish at the other.

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The two- and three-cluster fish bone model with saturation

Cited by 5 publications

References 12 publications

The combined influence of the Pauli principle and saturation on the effective? and? ? interactions

The combined influence of the Pauli principle and saturation on the effective? and? ? interactions

Orthogonalization of function spaces in the resonating group model

Understanding Quantum Plasmonics from Time-Dependent Orbital-Free Density Functional Theory

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