Nucleon—Nucleon Potentials from Phase Shifts and Inversion

Geramb, H. V. von; Kohlhoff, H.

doi:10.1007/978-3-662-13969-1_18

Cited by 12 publications

(18 citation statements)

References 22 publications

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“…). On the contrary, in the present work we make use of inversion techniques [9][10][11], which have the advantage that the potential form factor is deduced from scattering data. Inversion methods have already been applied to neutron-proton phase shifts [12] to construct shallow potentials.…”

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confidence: 99%

Toward a spin- and parity-independent nucleon-nucleon potential

Sparenberg¹

2002

Europhys. Lett.

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A supersymmetric inversion method is applied to the singlet 1 S 0 and 1 P 1 neutron-proton elastic phase shifts. The resulting central potential has a onepion-exchange (OPE) long-range behavior and a parity-independent shortrange part; it fits inverted data well. Adding a regularized OPE tensor term also allows the reproduction of the triplet 3 P 0 , 3 P 1 and 3 S 1 phase shifts as well as of the deuteron binding energy. The potential is thus also spin-independent (except for the OPE part) and contains no spin-orbit term. These important simplifications of the neutron-proton interaction are shown to be possible only if the potential possesses Pauli forbidden bound states, as proposed in the Moscow nucleon-nucleon model.

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confidence: 99%

Toward a spin- and parity-independent nucleon-nucleon potential

Sparenberg¹

2002

Europhys. Lett.

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“…The obtained Jost matrices have simple compact explicit form and can be used in a number of physical situations (see e.g. [4]). …”

Section: Discussionmentioning

confidence: 99%

A factorization of a special type S matrix into Jost matrices

Krutov

Muravyev

Troitsky

1997

Journal of Mathematical Physics

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“…They lead to kernels K (r, r ) of the exact Marchenko [26] and Gel'fand-Levitan [28] integral equations from which the potentials can be constructed. The method has been applied successfully to construct a nucleon-nucleon potential by von Geramb and collaborators (see [29,30] and references therein), as well as neutron-deuteron potentials [31,32]. The Marchenko integral equation, fully equivalent to the Schrödinger equation, reads…”

Section: Inverse Scattering Methodsmentioning

confidence: 99%

In-medium nucleon-nucleon potentials in configuration space

Beyer¹,

Sofianos

2001

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

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Based on the thermodynamic Green function approach two-nucleon correlations in nuclear matter at finite temperatures are revisited. To this end, we derive phase equivalent effective r-space potentials that include the effect of the Pauli blocking at a given temperature and density. These potentials enter into a Schrödinger equation that is the r-space representation of the Galitskii-Feynman equation for two nucleons. We explore the analytical structure of the equation in the complex k-plane by means of Jost functions. We find that despite the Mott effect the correlation with deuteron quantum numbers are manifested as antibound states, i.e., as zeros of the Jost function on the negative imaginary axis of the complex momentum space. The analysis presented here is also suited for Coulombic systems.

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Nucleon—Nucleon Potentials from Phase Shifts and Inversion

Cited by 12 publications

References 22 publications

Toward a spin- and parity-independent nucleon-nucleon potential

Toward a spin- and parity-independent nucleon-nucleon potential

A factorization of a special type S matrix into Jost matrices

In-medium nucleon-nucleon potentials in configuration space

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