Relating Binding Energy and Scattering Length of Cold Hybrid Ion‐Atom Systems

A STUDY OF NUCLEON FORCES WITH REPULSIVE CORES: III. LOW ENERGY PROPERTIES OF THE LÉVY POTENTIAL

Canadian Journal of Physics ◽

10.1139/p57-049 ◽

1957 ◽

Vol 35 (4) ◽

pp. 451-454 ◽

Cited By ~ 1

Author(s):

M. A. Preston ◽

J. Shapiro

Keyword(s):

Binding Energy ◽

Singlet State ◽

Scattering Length ◽

Low Energy ◽

Proton Scattering ◽

Core Radius ◽

Deuteron Binding Energy ◽

Coupling Constant ◽

Spin Dependence ◽

The Core

An attempt has been made to select the core radius and coupling constant of the Lévy potential for the interaction of two nucleons in order to fit the binding energy of the deuteron and the singlet state neutron–proton scattering length. It was found that these two quantities cannot be fitted simultaneously. For any given choice of coupling constant, a somewhat larger core radius is required to fit the deuteron binding energy than is required for the scattering length. This spin dependence of the core radius does not preclude the possibility of a fit to the low energy data with the Lévy potential.

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Binding energy of3H andn−d doublet scattering length with charge-dependent forces

Acta Physica Academiae Scientiarum Hungaricae ◽

10.1007/bf03158001 ◽

1973 ◽

Vol 33 (2) ◽

pp. 129-133

Author(s):

J. Dabrowski

Keyword(s):

Binding Energy ◽

Scattering Length

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NEUTRON-DEUTERON SCATTERING PREDICTED BY THE QUARK-MODEL BARYON-BARYON INTERACTION

Modern Physics Letters A ◽

10.1142/s0217732310000873 ◽

2010 ◽

Vol 25 (21n23) ◽

pp. 2006-2007

Author(s):

K. FUKUKAWA ◽

Y. FUJIWARA

Keyword(s):

Elastic Scattering ◽

Binding Energy ◽

Quark Model ◽

Cross Sections ◽

Differential Cross ◽

Scattering Length ◽

Deuteron Scattering ◽

Baryon Interaction ◽

Spin Observables ◽

Three Body

We apply our quark-model NN interaction fss2 to the nd scattering in the Faddeev formalism. A consistent description of the triton binding energy, the nd scattering length, the differential cross sections, and spin observables of the elastic scattering up to 65 MeV is achieved without introducing three-body forces.

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The Nuclear Three Body Problem with Phase Equivalent Separable Interactions

Canadian Journal of Physics ◽

10.1139/p75-224 ◽

1975 ◽

Vol 53 (18) ◽

pp. 1749-1763 ◽

Cited By ~ 9

Author(s):

N. J. McGurk ◽

H. Fiedeldey

Keyword(s):

Binding Energy ◽

Scattering Length ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Bound State ◽

Nucleon Nucleon ◽

Triton Binding Energy ◽

Nucleon Interaction ◽

Global Features ◽

Nucleon Nucleon Interaction

The triton ground state energy and the neutron–deuteron doublet scattering length have been calculated with two families of phase equivalent separable interactions in the 1S0 and 3S1–3D1 states of the nucleon–nucleon interaction. Generating the interactions from a solution of the inverse scattering problem, a separable representation of the nucleon–nucleon interaction is fully exploited to fit the scattering and bound state data as well as possible. Off shell constraints on the interactions are then discussed. Results for the three nucleon quantities are compared to those obtained with realistic local and one boson exchange potentials. It is shown that all results for potentials obeying the known off shell constraints lie on the Phillips band, which appears to be independent of the potential model employed. This is a consequence of the fact that the triton binding energy and doublet scattering length are only sensitive to the broad detail of the nucleon–nucleon S matrix in the 1S0 and 3S1–3D1 states and to certain global features of the residues at the singlet deuteron and deuteron poles. Relatively large off shell variations in the triton binding energy and doublet scattering length along this Phillips band are possible and the plausibility that the experimental values could be fitted is discussed.

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