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A Poincar\'e covariant cascade method for high-energy nuclear collisions

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arxiv 2306.12131 v2 pith:PSYHGO3S submitted 2023-06-21 nucl-th hep-phnucl-ex

Yasushi Nara , Asanosuke Jinno , Tomoyuki Maruyama , Koichi Murase , Akira Ohnishi This is my paper · ORCID
classification nucl-thhep-phnucl-ex
keywords cascadecovariantalgorithmcollisionsdimensionalhigh-energymethodnuclear
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a Poincar\'e covariant cascade algorithm based on the constrained Hamiltonian dynamics in an $8N$-dimensional phase space to simulate the Boltzmann-type two-body collision term. We compare this covariant cascade algorithm with traditional $6N$-dimensional phase-space cascade algorithms. To validate the covariant cascade algorithm, we perform box calculations. We examine the frame dependence of the algorithm in a one-dimensionally expanding system as well as the compression stages of colliding two nuclei. We confirm that our covariant cascade method is reliable to simulate high-energy nuclear collisions. Furthermore, we present Lorentz-covariant equations of motion for the $N$-body system interacting via potentials, which can be efficiently solved numerically.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Poincar\'e covariant quantum molecular dynamics: a covariant description of a system of interacting wave packets

    hep-ph 2025-07 conditional novelty 7.0 of 10

    The authors derive Poincaré-covariant mean-field equations of motion for relativistic QMD and show they match Monte-Carlo integration of the exact forces in heavy-ion collisions.

  2. Space-time regions of high baryon density and baryon stopping in heavy-ion collisions

    nucl-th 2026-02 conditional novelty 6.0 of 10

    3FD hydrodynamics predicts larger and longer-lived regions of dense baryon matter in Au+Au collisions at 3–19.6 GeV than JAM transport, with V4(3n0) decreasing monotonically with energy.

  3. A Brief Introduction to PACIAE 4.0

    hep-ph 2024-11 conditional novelty 6.0 of 10

    PACIAE 4.0 is a new public release of an event generator that adds PYTHIA 8.3 support, heavy-quark mass corrections, an improved coalescence model, and new hadron channels, but no validation is shown.

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