arXiv subjects

S. B. Carr

Publications and source records attributed to S. B. Carr.

3 recordsLinked to original sources

arXiv1997

$Ξ^{-} d\to nΛΛ$ and the $ΛΛ$ final state interaction

The reaction $Ξ^-d\to nΛΛ$ is studied within the framework of the Faddeev equations as a possible tool to gain insight into the final state $Λ$--$Λ$ interaction. The neutron differential energy spectrum gives a final state interaction that is sensitive to both the $Λ$--$Λ$ amplitude at threshold, and the coupling between the $Λ$--$Λ$ and $Ξ$--$N$ channels. The latter is a result of interference between two mechanisms for the production of the final state, which suggests that this reaction could give a measure of flavor SU(3) violation in the two-baryon system.

nucl-th↗

arXiv1997

$^{6}_{ΛΛ}$He as a $ΛΛ$ interaction constraint

The Nijmegen OBE potential D is SU(3) rotated to model the strangeness -2 sector of the baryon-baryon force. Soft core repulsion is introduced to regularize the singular nature of the OBE functions. The strength of the $^1$S$_0$ $t=0$ interaction is adjusted to model three scenarios: (1) a bound state, (2) a narrow virtual, or antibound, state, and (3) an unbound state in which the force is weakly attractive. Using a separable approximation to these potentials, the binding energy of $^{6}_{ΛΛ}$He is calculated in an $ΛΛα$ model. The resultant binding energies suggest that the strength of the $^1$S$_0$ $t=0$ $ΛΛ$ and the $nn$ interactions should be similar, if the coupling between the $ΛΛ$ and $ΞN$ channels is taken into consideration.

nucl-th↗

arXiv1997

The $λΛ$ interaction and the reaction $Ξ^- + d \to n + Λ+ Λ$

The $ΛΛ$ interaction resulting from the SU(3) rotation of the S-wave component of the Nijmegen OBE potential $D$ is used to calculate the binding energy of $^{ 6}_{ΛΛ}$He as a $ΛΛα$ three-body system, and the neutron differential energy spectrum for the reaction $Ξ^- + d \to n + Λ+ Λ$.

nucl-th↗