Solitons as a model for the nuclear potential

Gridnev, K. A.; Hefter, E. F.

doi:10.1016/0375-9601(80)90550-2

Cited by 11 publications

(12 citation statements)

References 7 publications

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“…But since this procedure has to dispose completely of the dynamics of the system (it corresponds to the use of the A-soliton expression with the fixed time t = 0), the derivation of the EKdV presented above does indeed imply a distinct achievement facilitating further applications of the EKdV to quantum mechanics (and possibly stimulating The coupling of Schrödinger equation and EKdV leads to a physically sensible closed self-consistent system providing (hopefully) the basis for the construction of a realistic nonrelativistic field theory. Preliminary qualitative and quantitative results [2][3][4][5] support this notion which originally motivated the above derivation of the EKdV.…”

Section: Ur(xt) = 0i(ux)mentioning

confidence: 65%

“…(Since the condition XM = 0 implies some additional information on the related wavefunctions, the resulting potentials due to U^{x,t) are uniquely determined -provided £ = 0 is used - [7,2,3].) In the following section it is shown how a slight modification of the traditional procedure leads to the extended KdV (EKdV).…”

Section: U{z)=u{-z)mentioning

confidence: 99%

“…KdV-solitons with hi(t) = 0) has also been applied to quantum mechanical problems in elementary particle [2], nuclear [3], and molecular [4] physics and in field theory [5]. The gist of these studies is that they follow the spirit of inverse methods, i.e.…”

Section: Un(xt) --2m[in(detf)]xxmentioning

confidence: 99%

See 2 more Smart Citations

The Extended Korteweg-de Vries Equation

Hefter

1982

Zeitschrift Für Naturforschung A

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Section: Ur(xt) = 0i(ux)mentioning

confidence: 65%

Section: U{z)=u{-z)mentioning

confidence: 99%

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The Extended Korteweg-de Vries Equation

Hefter

1982

Zeitschrift Für Naturforschung A

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“…Besides NOSE there is another interesting equation, which was applied many times for the prediction of new forms of the motion in nuclei [12]. This is the KdV equation.…”

Section: R = --~--~Ch-i((x -Vt)/a)mentioning

confidence: 99%

Nonlinear approach in the ?-cluster model

Gridnev

1994

Z. Physik A - Hadrons and Nuclei

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Abstract. Nonlinear Schroedinger Equation ( NoSE ) and Korteveg de Vries Equation ( KdVE ) are applied to the solving of problems of the nucleation and clustering. PACS: 21.65.+fIn last years more and more attention is being paid to problems connected with nonlinear equations and their solutions. The aim of the present contribution is to apply Nonlinear Schroedinger Equation (NOSE) and Korteveg de Vries Equation (KdVE) to an interpretation of some effects of the clustering in nuclei. Earlier we applied the NoSE for the explanation such phenomena as the ALAS (Anomalous Large Angular Scattering) in interactions of c>particles with light nuclei [1]. Also we used the NoSE for the description of c>particle spectra in2~ [2]. In both cases we exploitated the NoSE in such form:where C = K/9; here K-the compressibility constant. It turned out that (1) The certain amount e of energy per bit is expended, transferred, stored, associated with the information encoded. That's why it is necessary to add the term eI to the standard Hamiltonian:j=l Now it is possible to show that this constant e is very close to our compressibility constant. The total energy as the expectation value of the Hamiltonian (2) is: = E0e < ~) I log2(a t ~ [ 2) I if) >

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“…one has to solve a Schrödinger eigenvalue problem with a positive energy (the kinetic energy of the incident projectile) and the potential U om , cf. (1). As indicated in the introduction, the contribution V to V om has for the kinetic energy E p = 0 of the projectile to be identified with the shell-model potential U.…”

Section: The Energy Dependence Of Imefim (Ie D = 0 In (8))mentioning

confidence: 99%

The Inverse Mean Field Method and the Energy Dependence of the Nuclear Potential

Hefter

Gridnev

1983

Zeitschrift Für Naturforschung A

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The foundations of the inverse mean field method (Imefim) and its relation to traditional approaches are discussed. Imefim predicts the energy dependence of the real central (nuclear) part of the optical model potential to have the functional form (1 + eE p )~3. Treating for the time being the constant e as an adjustable parameter, this prediction is shown to compare nicely with well-established formal and heuristic results.

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Solitons as a model for the nuclear potential

Cited by 11 publications

References 7 publications

The Extended Korteweg-de Vries Equation

The Extended Korteweg-de Vries Equation

Nonlinear approach in the ?-cluster model

The Inverse Mean Field Method and the Energy Dependence of the Nuclear Potential

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