Tootfinder

General structure factor and dynamic effects of the Dzyaloshinskii-Moriya interaction in S = 1/2 clusters
Evan M. Wilson, Joseph A. Prescott, Jason T. Haraldsen
https://arxiv.org/abs/2509.02505

General structure factor and dynamic effects of the Dzyaloshinskii-Moriya interaction in S = 1/2 clusters
Understanding the effects of the Dzyaloshinskii-Moriya interaction (DMI) has become increasingly important in the context of nanoscale magnetism and spintronics. In this study, we derive a general structure factor equation for an S = 1/2 dimer and show that the anisotropic ratio $D_z/|J|$ and complex phase $ϕ$ of the DMI control the gap energy and intensity of the $|0,0\rangle \to |1,0\rangle$ transition. {Using exact diagonalization of the Heisenberg spin-spin Hamiltonian …

Recently Departed Cowboy ‘Rankled Teammates’ In Locker Room – Report https://heavy.com/sports/nfl/dallas-cowboys/micah-parsons-not-popular-locker-room/?adt_ei=[email]

Probing $a_0(1450)$-meson leading-twist distribution amplitude and its effects to $D\to a_0(1450)\ell \nu_{\ell}$
Ya-Lin Song, Yin-Long Yang, Ye Cao, Xue Zheng, Hai-Bing Fu
https://arxiv.org/abs/2508.21750

Probing $a_0(1450)$-meson leading-twist distribution amplitude and its effects to $D\to a_0(1450)\ell ν_{\ell}$
In this paper, we investigate the semileptonic decay $D \to a_0(1450)\ell ν_{\ell}$ with $\ell=(e, μ)$ using QCD light-cone sum rules. For the scalar meson $a_0(1450)$, we treat it as a $q\bar{q}$ state and construct two distributed distribution schemes based on the light-cone harmonic oscillator model, then present their moments $\langleξ^{n}_{2;a_0}\rangle |_μ$ and Gegenbauer moments $a_{n;a_0}(μ)$ at $μ_0=1~\mathrm{GeV}$ and $μ_k= 1.4~\mathrm{GeV}$ for $n=(1,3,5)$. In the large r…

Local spin polarization of $\Lambda$ hyperons and its interaction corrections
Cong Yi, Shuo Fang, Dong-Lin Wang, Shi Pu
https://arxiv.org/abs/2509.00377 https://

Local spin polarization of $Λ$ hyperons and its interaction corrections
We have computed the second Fourier sine coefficient of the longitudinal spin polarization, $\langle P_{z} \sin 2(ϕ_{p} - Ψ_{2}) \rangle$, as a function of multiplicity or centrality in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV and in $p$+Pb collisions at $\sqrt{s_{NN}} = 8.16$ TeV using the CLVisc hydrodynamic framework. The numerical results successfully describe the data in Au+Au collisions. However, understanding the data in $p$+Pb collisions remains a puzzle. Additionally, we have re…

Breaking News: Journalisten sind keine Orakel – Fehler passieren! Aber wer Updates und Korrekturen scheut, landet schnell im Märchenwald. Wir als Publikum? Lieber konstruktiv als mit Schaum vorm Mund – für Verschwörungsgeheul gibt’s schon genug andere. (Autor: Jan Skudlarek) #Journalismus

Hydrodynamic effects on spin polarization along the beam direction in Au Au and p Pb collisions
Cong Yi, Xiang-Yu Wu, Jie Zhu, Shi Pu, Guang-You Qin
https://arxiv.org/abs/2509.00380

Hydrodynamic effects on spin polarization along the beam direction in Au+Au and p+Pb collisions
We investigate hydrodynamic effects on the spin polarization of $Λ$ hyperons in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV and p+Pb collisions at $\sqrt{s_{NN}} = 8.16$ TeV using the CLVisc hydrodynamic framework. We present numerical results for the second Fourier sine coefficient of the longitudinal spin polarization, $\langle P_{z} \sin 2(ϕ_{p} - Ψ_{2}) \rangle$, as a function of multiplicity (centrality) under three equilibrium scenarios: $Λ$ equilibrium, $s$-quark equilibrium, and i…

Roncalli kenne ich als Zirkus. Ich nehme an es handelt sich hier um Werbung.
'In die Luft geschaut' #FotoVorschlag

Faithful Burau-like representations of some rank two Garside groups and torus knot groups
Thomas Gobet
https://arxiv.org/abs/2506.21340 https://

Faithful Burau-like representations of some rank two Garside groups and torus knot groups
We give a method to produce faithful representations of the groups $G(n,m)=\langle X, Y \ \vert \ X^m = Y^n \rangle$ in $\mathrm{GL}_2(\mathbb{C}[t^{\pm 1}, q^{\pm 1}])$. These groups are Garside groups and the Garside normal forms of elements of the corresponding monoid can be explicitly recovered from the matrices, in the spirit of Krammer's proof of the linearity of Artin's braid groups. We use this method to construct several explicit faithful representations of the above groups, among whic…

Enumeration of Cayley graphs over a nonabelian group of order $8p$
Bei Ye, Xiaogang Liu, Jing Wang
https://arxiv.org/abs/2508.17035 https://arxiv.org/pdf/2…

Enumeration of Cayley graphs over a nonabelian group of order $8p$
Let $T_{8p} = \left\langle a,b\mid a^{2p}=b^8=e,a^p=b^4,b^{-1}ab=a^{-1} \right\rangle$ be a nonabelian group of order $8p$, where $p$ is an odd prime number. In this paper, we give the formula to calculate the number of Cayley graphs over $T_{8p}$ up to isomorphism by using the Pólya Enumeration Theorem. Moreover, we get the formula to calculate the number of connected Cayley graphs over $T_{8p}$ by deleting the disconnected graphs. By applying the results, we list the exact number of (connect…

Integral Cayley graphs over a nonabelian group of order $8n$
Bei Ye, Xiaogang Liu
https://arxiv.org/abs/2508.10653 https://arxiv.org/pdf/2508.10653

Integral Cayley graphs over a nonabelian group of order $8n$
A graph is called an integral graph when all eigenvalues of its adjacency matrix are integers. We study which Cayley graphs over a nonabelian group $$ T_{8n}=\left\langle a,b\mid a^{2n}=b^8=e,a^n=b^4,b^{-1}ab=a^{-1} \right \rangle $$ are integral graphs. Based on the group representation theory, we first give the irreducible matrix representations and characters of $T_{8n}$. Then we give necessary and sufficient conditions for which Cayley graphs over $T_{8n}$ are integral graphs. As applicatio…