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- W1968691850 abstract "Relativistic effects on the relation between the root-mean-square radius ${mathit{r}}_{mathit{D}}$ of the bound state and the scattering length a are examined for models which simulate the triplet S state of the two-nucleon system. Two models are considered; one is based on the one-body Dirac equation and the other on the two-body Dirac equation. The relation is expressed as (${mathit{r}}_{mathit{D}}$/a${)}^{2}$=(${mathit{c}}_{0}$+${mathit{c}}_{1}$${mathit{x}}^{1}$+${mathit{c}}_{2}$${mathit{x}}^{2}$+...)/8, where x==ensuremath{alpha}${mathit{r}}_{0}$; ensuremath{alpha} is related to the binding energy and ${mathit{r}}_{0}$ is the effective range. This expansion is compared with the corresponding expansion of the nonrelativistic Schrodinger case. The first three terms are shape independent. The ${mathit{c}}_{0}$ (=1) and ${mathit{c}}_{1}$ (=0) are the same as those of the nonrelativistic case but a relativistic correction appears in ${mathit{c}}_{2}$." @default.
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- W1968691850 date "1991-07-01" @default.
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- W1968691850 title "Relation between the bound state radius and the scattering length: Relativistic effects" @default.
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- W1968691850 doi "https://doi.org/10.1103/physrevc.44.67" @default.
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