Tensor Amplitudes for Partial Wave Analysis of <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="bold-italic">ψ</mi><mo mathvariant="bold">→</mo><mo mathvariant="bold">Δ</mo><mover accent="true"><mo mathvariant="bold">Δ</mo><mo stretchy="false">¯</mo></mover></mrow></semantics></math></inline-formula> within Helicity Frame

Abstract

We have derived the tensor amplitudes for partial wave analysis of ψ→ΔΔ¯, Δ→pπ within the helicity frame, as well as the amplitudes for the other decay sequences with same final states. These formulae are practical for the experiments measuring ψ decaying into pp¯π+π− final states, such as BESIII with its recently collected huge J/ψ and ψ(2S) data samples.

Keywords

• <i>ψ</i> decay
• baryon
• partial wave analysis
• tensor formalism