Development of a Super Soft Core Potential Model of the Nucleon-Nucleon Interaction

A separable representation for the two-nucleon T-matrix in coupled channels has been obtained from a unitary pole expansion for the potential and the method has been tested with the Reid soft-core potential in the 3S,_3D1 channel. A 3-term expansion provides a T-matrix that is sufficiently accurate for a perturbation theory calculation of the three-nucleon bound state, while a IS-term expansion closely reproduces the exact T-matrix. In addition, a unitary pole approximation is presented that gives a better fit to the phase shifts and coupling parameter than that of Siebert et al. (1972).

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A nonrelativistic potential model with forbidden states for the nucleon-nucleon interaction at small distances

Physics Letters B ◽

10.1016/0370-2693(73)90530-3 ◽

1973 ◽

Vol 43 (1) ◽

pp. 13-16 ◽

Cited By ~ 17

Author(s):

V.G. Neudatchin ◽

I.T. Obukovskii ◽

Yu.F. Smirnov

Keyword(s):

Potential Model ◽

Nucleon Nucleon ◽

Nucleon Interaction ◽

Forbidden States ◽

Nucleon Nucleon Interaction

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A very soft core potential model for 1S0 neutron-proton scattering

Physics Letters B ◽

10.1016/0370-2693(69)90094-x ◽

1969 ◽

Vol 29 (10) ◽

pp. 635-637 ◽

Cited By ~ 12

Author(s):

M.K. Srivastava ◽

P.K. Banerjee ◽

D.W.L. Sprung

Keyword(s):

Potential Model ◽

Soft Core ◽

Proton Scattering ◽

Core Potential ◽

Soft Core Potential

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Study of fusion cross-sections of 16O + 208Pb and 28Si + 208Pb reactions by effective soft-core nucleon-nucleon interaction

Nuclear Technology and Radiation Protection ◽

10.2298/ntrp0701011g ◽

2007 ◽

Vol 22 (1) ◽

pp. 11-17

Author(s):

Omid Ghodsi ◽

Mohamad Mahmodi ◽

Jamil Ariai

Keyword(s):

Cross Sections ◽

Careful Analysis ◽

Nucleon Nucleon ◽

Soft Core ◽

Fusion Reactions ◽

Nucleon Interaction ◽

Nucleon Potential ◽

The Monte Carlo Method ◽

Nucleon Nucleon Interaction ◽

The Many

In this paper, the cross-sections of fusion reactions 16O + 208Pb, 28Si + 208Pb, 40C + + 40Ca, 40Ca + 48Ca, 58Ni + 58Ni, and 16O + 154Sm at bombarding energies above and near the fusion barrier have been investigated. The fusion cross-sections have been studied by means of the Monte Carlo method and effective soft-core nucleon-nucleon interaction. One adjustable parameter was used in these calculations. This parameter can change the strength and repulsive parts of soft-core potential values. It has to be adjusted, so that the analytical results are in acceptable agreement with the experimental data. In our calculations, we have taken the range of the nucleon-nucleon soft-core interaction to be constant and equal to that of the M3Y-Raid potential. Results show that the higher values for the diffusion parameter in the Woods-Saxon potential obtained from a careful analysis of 16O + 208Pb and 28Si + 208Pb reactions are due to the many particle effects on the nucleon-nucleon potential.

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Nuclear matter calculation with a super soft core potential including isobar degrees of freedom

Canadian Journal of Physics ◽

10.1139/p81-010 ◽

1981 ◽

Vol 59 (1) ◽

pp. 69-81 ◽

Cited By ~ 2

Author(s):

M. Dey ◽

B. C. Samanta ◽

J. Dey

Keyword(s):

Nuclear Matter ◽

Degrees Of Freedom ◽

Effective Interaction ◽

Nucleon Nucleon ◽

Soft Core ◽

Momentum Dependence ◽

Nucleon Potential ◽

Core Potential ◽

Soft Core Potential ◽

Energy Saturation

A complete nuclear matter calculation in lowest order Brueckner theory is done for a super soft core nucleon–nucleon potential due to de Tourreil, Rouben, and Sprung and the effect of including isobar degrees of freedom on binding energy, saturation, and half-shell G-matrices is considered in the frame work of the coupled channel formalism. The singlet and triplet S-state effective interaction is derived and its density and momentum dependence is studied. Comparison is made with the results obtained from the Reid soft core potential.

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