arXiv subjects

Deepak Pachattu

Publications and source records attributed to Deepak Pachattu.

3 recordsLinked to original sources

arXiv2024

Partial-wave analysis to determine the spin of $\Xi(1690)^-$ and $\Xi(1820)^-$ produced in $\overline{p}p$ annihilation

Recently [arXiv:2201.03852v2] the PANDA collaboration studied the feasibility of determining the spin and parity of the $\Xi(1690)^{-}$and $\Xi(1820)^{-}$ resonances in the $\Lambda K^-$ system produced in $\bar{p}p$ collisions via the reaction channel $\overline{p} p \rightarrow \bar{\Xi}^{+} \Lambda K^{-}$. This contribution aims to study these reactions using a model-independent irreducible tensor formalism developed earlier. This study leads us to identify the partial-wave amplitude, which would be zero if $\Xi(1690)^{-}$ or $\Xi(1820)^{-}$ had spin-1/2, provided these resonances are produced at threshold (s-wave production).

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arXiv2023

Sequential decays of the triple strange process $\bar{p} p \rightarrow \bar{\Omega}^{+} \Omega^{-} \rightarrow K^{+} \bar{\Lambda} K^{-} \Lambda \rightarrow K^{+} \bar{p} \pi^{+} K^{-} p \pi^{-}$: a model-independent approach

A model-independent irreducible tensor formalism is developed to analyse $\bar{\Omega}\Omega$ production in $\bar{p}p$ collisions and its subsequent decay via the triple-strange decay process, $\bar{\Omega}^{+} \Omega^{-} \rightarrow K^{+} \bar{\Lambda} K^{-} \Lambda \rightarrow K^{+} \bar{p} \pi^{+} K^{-} p \pi^{-}$. These processes are relevant for the upcoming experiments at PANDA. We not only provide expressions for the density matrix of the $\Omega\bar{\Omega}$ system but also for the products at each stage of the decay. The Fano statistical tensors so obtained not only completely characterize the relevant final systems but also provide expressions for joint angular distributions. Finally, we show which of the Fano statistical tensors characterizing the $\bar{\Omega}\Omega$ system can be inferred from the Fano statistical tensors characterizing the final $\bar{p}p$ system, wherein we also obtain the relation between the production cross sections for $\Omega\bar{\Omega}$ and the final $p\bar{p}$ system.

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arXiv2023

Singlet cross section and the tensor interaction in $\overline{\mathrm{p}} \mathrm{p} \rightarrow \bar{\Lambda} \Lambda$

In this short paper, we demonstrate using irreducible tensorial techniques and in a model-independent way, why tensor interactions and also orbital-angular momentum-changing vector interactions are absent in the singlet unpolarized differential cross section for the reaction $\overline{\mathrm{p}} \mathrm{p} \rightarrow \bar{\Lambda} \Lambda$.

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