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Sajjad Marri

Publications and source records attributed to Sajjad Marri.

6 recordsLinked to original sources

Investigation of the $\bar{K}$--$^{6}$Li Interaction and the Search for the $\Lambda(1405)$ Resonance

We investigate the interaction of an antikaon ($K^-$) with the $^{6}$Li nucleus, described as an $\alpha + d$ cluster system. The study aims to explore the formation of the $\Lambda(1405)$ resonance through the $K^-d$ subsystem in the presence of a spectator $\alpha$ particle. In the absence of dedicated experimental data for this reaction, particular attention is given to providing quantitative predictions for the manifestation of the $\Lambda(1405)$ structure in low-energy $\bar{K}N$ dynamics within a light nuclear environment. Employing different models of the $\bar{K}N-\pi\Sigma$ interaction, we calculate the $\pi\Sigma n$ invariant-mass spectra and the $\alpha$-particle missing-mass spectra, thereby identifying robust features of the $\Lambda(1405)$ signal and offering guidance for future experimental investigations.

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Investigation of the $K^{-}pp$ Bound State via the \( K^{-} + {}^{3}\mathrm{He} \) Reaction

Using the four-body Alt-Grassberger-Sandhas (AGS) equations for the \( K^{-}ppn \) system, we investigate the possible formation of a \( K^{-}pp \) quasi-bound state through the low-energy \( K^{-} + {}^{3}\mathrm{He} \) reaction. The neutron missing mass spectrum in the final state was calculated for different models of the \( \bar{K}N \) interaction. The results indicate that, irrespective of the specific nature of the \( \Lambda(1405) \) structure or the details of the \( \bar{K}N \) interaction model, a signal corresponding to the \( K^{-}pp \) quasi-bound state could appear in the \( \pi \Sigma p \) mass spectrum. This supports the feasibility of observing the \( K^{-}pp \) cluster in low-energy kaon-induced reactions on helium-3.

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Signature of $N^{\star}$ resonance in mass spectrum of the $K\bar{K}N$ decay channels

Three-body calculations of $I=\frac{1}{2}$, $J^π=\frac{1}{2}^{+}$ state of $K\bar{K}N$ system were performed. Using separable potentials for two-body interactions in the Faddeev equation, different reaction process for $K\bar{K}N$ three-body system were studied. Within this method, the $πΣ{K}$ and $πη{N}$ mass spectra were extracted. Different types of $\bar{K}N-πΣ$ potentials based on phenomenological and chiral SU(3) approach were used and the dependence of the mass spectra to the $\bar{K}N$ model of interaction were studied. It was shown that the $πΣ{K}$ and $πη{N}$ mass spectra could be a useful tool to study the properties of the $N^{\star}$ resonance.

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Three- and four-body kaonic nuclear states: Binding energies and widths

Using separable potentials for $\bar{K}N-πΣ$ interaction, we investigated four-body kaonic nuclear systems such as $K^{-}ppn$ and $K^{-}K^{-}pp$, with the Faddeev AGS method in the momentum representation. The Faddeev calculations are based on the quasi-particle method and the method of the energy dependent pole expansion was used to obtain the separable representation for the integral kernels in the three- and four-body equations. Different types of $\bar{K}N-πΣ$ potentials based on phenomenological and chiral SU(3) approach are used and it was shown that the kaonic nuclear systems under consideration are tightly bound.

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Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations

The Faddeev AGS equations are solved for coupled-channels $\bar{K}NN-πΣ{N}$ system with quantum numbers $I=1/2$ and $S=0$. Using separable potentials for $\bar{K}N-πΣ$ interaction, we have calculated the transition probability for the $(Y_{K})_{I=0}+N\rightarrowπΣ{N}$ reaction. The possibility to observe the trace of $K^{-}pp$ quasi-bound state in the $πΣ{N}$ mass spectra was studied. Various types of chiral based and phenomenological potentials are used to describe the $\bar{K}N-πΣ$ interaction. It was shown that not only we can see the signature of the $K^{-}pp$ quasi-bound state in the mass spectra, but also, one can see the trace of branch points in the observables.

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Deeply quasi-bound state in single- and double-$\bar{K}$ nuclear clusters

New calculations of the quasi-bound state positions in $K^{-}K^{-}pp$ kaonic nuclear cluster are performed using non-relativistic four-body Faddeev-type equations in AGS form. The corresponding separable approximation for the integral kernels in the three- and four-body kaonic clusters is obtained by using the Hilbert-Schmidt expansion procedure. Different phenomenological models of $\bar{K}N-πΣ$ potentials with one- and two-pole structure of $Λ$(1405) resonance and separable potential models for $\bar{K}$-$\bar{K}$ and nucleon-nucleon interactions, are used. The dependence of the resulting four-body binding energy on models of $\bar{K}N-πΣ$ interaction is investigated. We obtained the binding energy of the $K^{-}K^{-}pp$ quasi-bound state $\sim$ 80-94 MeV with the phenomenological $\bar{K}N$ potentials. The width is about $\sim$ 5-8 MeV for the two-pole models of the interaction, while the one-pole potentials give $\sim$ 24-31 MeV width.

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