Mass and width of the $d^{\prime }$ resonance in nuclei

Abstract

We calculated the mass and width of the $d^{\prime }$ resonance inside nuclei within a nucleon-$\Delta$ model by including the self-energy of the $\Delta$ in the $N\Delta$ propagator. We found that in the nuclear medium the width of the $d^{\prime }$ is increased by one order of magnitude while its mass changes only by a few MeV. This broadening of the width of the $d^{\prime }$ resonance embedded in nuclei is consistent with the experimental observations so that the $d^{\prime }$ can be understood as a $N\Delta$ resonance. Thus, given the freedom between either isospin 0 or isospin 2 for the $d^{\prime }$, our results give weigth to the isospin-2 assignment.

14 pages, RevteX type, 2 eps figures. To be published in Phys. Rev. C (September)

References in corpus (4)

• Constituent Quark Model Calculation for a possible J^P=0^-,T=0 Dibaryon
• Width of the $\Delta$ resonance in nuclei
• Quark Cluster Model Study of Isospin-Two Dibaryons
• A $J^{\pi }=0^{-}$ Resonance for $\pi NN\to \pi NN$ in the Skyrme Model

Cited by in corpus (3)

• On the History of Dibaryons and their Final Observation
• Quark models of dibaryon resonances in nucleon-nucleon scattering
• Pionic decay of a possible d'-dibaryon and the short-range NN interaction