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Particles, Volume 7, Issue 3 (September 2024) – 2 articles

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17 pages, 477 KiB  
Article
Improved Equations of the Lagrange Top and Examples of Analytical Solutions
by Alexei A. Deriglazov
Particles 2024, 7(3), 543-559; https://doi.org/10.3390/particles7030030 - 24 Jun 2024
Viewed by 236
Abstract
Equations of a heavy rotating body with one fixed point can be deduced starting from a variational problem with holonomic constraints. When applying this formalism to the particular case of a Lagrange top, in the formulation with a diagonal inertia tensor the potential [...] Read more.
Equations of a heavy rotating body with one fixed point can be deduced starting from a variational problem with holonomic constraints. When applying this formalism to the particular case of a Lagrange top, in the formulation with a diagonal inertia tensor the potential energy has a more complicated form as compared with that assumed in the literature on dynamics of a rigid body. This implies the corresponding improvements in equations of motion. Therefore, we revised this case, presenting several examples of analytical solutions to the improved equations. The case of precession without nutation has a surprisingly rich relationship between the rotation and precession rates, which is discussed in detail. Full article
(This article belongs to the Special Issue Feature Papers for Particles 2023)
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41 pages, 6311 KiB  
Review
Forward & Far-Forward Heavy Hadrons with Jethad: A High-Energy Viewpoint
by Francesco Giovanni Celiberto
Particles 2024, 7(3), 502-542; https://doi.org/10.3390/particles7030029 - 24 Jun 2024
Viewed by 249
Abstract
Inspired by recent findings that semi-inclusive detections of heavy hadrons exhibit fair stabilization patterns in high-energy resummed distributions against (missing) higher-order corrections, we review and extend our studies on the hadroproduction of light and heavy hadrons tagged in forward and far-forward rapidity ranges. [...] Read more.
Inspired by recent findings that semi-inclusive detections of heavy hadrons exhibit fair stabilization patterns in high-energy resummed distributions against (missing) higher-order corrections, we review and extend our studies on the hadroproduction of light and heavy hadrons tagged in forward and far-forward rapidity ranges. We analyze the NLL/NLO+ behavior of rapidity rates and angular multiplicities via the Jethad method, where the resummation of next-to-leading energy logarithms and beyond is consistently embodied in the collinear picture. We explore kinematic regions that are within LHC typical acceptances, as well as novel sectors accessible thanks the combined tagging of a far-forward light or heavy hadron at future Forward Physics Facilities and a of central particle at LHC experiments via a precise timing-coincidence setup. Full article
(This article belongs to the Special Issue Feature Papers for Particles 2023)
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