Realtime dynamics of hyperon spin correlations from string fragmentation in a deformed four-flavor Schwinger model
João Barata, Wenjie Gong, Raju Venugopalan
Abstract
Self-polarizing weak decays of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi mathvariant="normal">Λ</a:mi></a:math>-hyperons provide unique insight into the role of entanglement in the fragmentation of QCD strings through measurements of the spin correlations of <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mi mathvariant="normal">Λ</d:mi><d:mover accent="true"><d:mi mathvariant="normal">Λ</d:mi><d:mo stretchy="false">¯</d:mo></d:mover></d:math> pairs produced in collider experiments. The simplest quantum field theory representing the underlying parton dynamics is the four-flavor massive Schwinger model plus an effective spin-flip term, where the flavors are mapped to light (up or down) and heavy (strange) quarks and their spins. This construction provides a novel way to explore hyperon spin correlations in <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mrow><j:mn>1</j:mn><j:mo>+</j:mo><j:mn>1</j:mn></j:mrow></j:math> dimensions. We investigate the evolution of these correlations for different string configurations that are sensitive to the rich structure of the model Hamiltonian. Published by the American Physical Society 2024