dorsal/arxiv
View SchemaA New Nonlinear Liquid Drop Model. Clusters as Solitons on The Nuclear Surface
| Authors | Andrei Ludu, Aurel Sandulescu, Walter Greiner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9612006 |
| URL | https://arxiv.org/abs/nucl-th/9612006 |
| DOI | 10.1088/0954-3899/23/3/005 |
| Journal | J.Phys.G23:343-364,1997 |
Abstract
By introducing in the hydrodynamic model, i.e. in the hydrodynamic equations and the corresponding boundary conditions, the higher order terms in the deviation of the shape, we obtain in the second order the Korteweg de Vries equation (KdV). The same equation is obtained by introducing in the liquid drop model (LDM), i.e. in the kinetic, surface and Coulomb terms, the higher terms in the second order. The KdV equation has the cnoidal waves as steady-state solutions. These waves could describe the small anharmonic vibrations of spherical nuclei up to the solitary waves. The solitons could describe the preformation of clusters on the nuclear surface. We apply this nonlinear liquid drop model to the alpha formation in heavy nuclei. We find an additional minimum in the total energy of such systems, corresponding to the solitons as clusters on the nuclear surface. By introducing the shell effects we choose this minimum to be degenerated with the ground state. The spectroscopic factor is given by the ratio of the square amplitudes in the two minima.
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"abstract": "By introducing in the hydrodynamic model, i.e. in the hydrodynamic equations\nand the corresponding boundary conditions, the higher order terms in the\ndeviation of the shape, we obtain in the second order the Korteweg de Vries\nequation (KdV). The same equation is obtained by introducing in the liquid drop\nmodel (LDM), i.e. in the kinetic, surface and Coulomb terms, the higher terms\nin the second order. The KdV equation has the cnoidal waves as steady-state\nsolutions. These waves could describe the small anharmonic vibrations of\nspherical nuclei up to the solitary waves. The solitons could describe the\npreformation of clusters on the nuclear surface. We apply this nonlinear liquid\ndrop model to the alpha formation in heavy nuclei. We find an additional\nminimum in the total energy of such systems, corresponding to the solitons as\nclusters on the nuclear surface. By introducing the shell effects we choose\nthis minimum to be degenerated with the ground state. The spectroscopic factor\nis given by the ratio of the square amplitudes in the two minima.",
"arxiv_id": "nucl-th/9612006",
"authors": [
"Andrei Ludu",
"Aurel Sandulescu",
"Walter Greiner"
],
"categories": [
"nucl-th",
"nlin.PS",
"patt-sol"
],
"doi": "10.1088/0954-3899/23/3/005",
"journal_ref": "J.Phys.G23:343-364,1997",
"title": "A New Nonlinear Liquid Drop Model. Clusters as Solitons on The Nuclear Surface",
"url": "https://arxiv.org/abs/nucl-th/9612006"
},
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