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Nuclear Theory·nucl-th

Thursday·March 5, 2026

9 papers—5 primary·4 cross-listed

All9Primary5Cross-lists4
  1. 06

    Inverse Excitation Hierarchy in Doubly-Heavy Tetraquarks within the Diquark Model

    Maximilian Weber🇯🇵 · Daiki Suenaga🇯🇵 · Masayasu Harada🇯🇵

    We investigate the tetraquark, treating it as a bound state of a heavy diquark and a light antidiquark. Using the Silvestre-Brac potential and solving the Schrödinger equation via the Gaussian Expansion Method, we find that the excitation energy between the heavy diquark and light antidiquark is unexpectedly larger than that between the two light anti-quarks within the anti-diquark -- contrary to the naive expectation where the former is smaller than the latter. We trace this inversion of the mass hierarchy to the centrifugal force acting on the light degree of freedom. Applying the same framework to other systems () yields qualitatively identical behavior, demonstrating the robustness of the mechanism. These results provide new insights into diquark dynamics and the mass structure of exotic hadrons.

    ↳ hep-phnucl-thPRD(2026)·0 citations
  2. 07

    Lattice extraction of the Collins-Soper kernel using the auxiliary field representation of the Wilson line

    Anthony Francis🇹🇼 · C.-J. David Lin🇹🇼 · Wayne Morris🇹🇼 · Yong Zhao🇺🇸

    The Collins-Soper (CS) kernel may be obtained through the TMD soft function by formulating the Wilson line in terms of 1-dimensional auxiliary fermion fields on the lattice. Our computation takes place in the region of the lattice that corresponds to the "spacelike" region in Minkowski space, i.e., Collins' scheme. We explore two methods for obtaining the CS kernel. The "ratio method"; which would allow us to obtain the soft function as well as the CS kernel. And the "double ratio"; which allows us to achieve a high degree of statistical precision, but only produces the CS kernel. The matching of our result to Minkowski space is achieved through the mapping of the complex auxiliary field directional vector to the Wilson line rapidity. We present a preliminary extraction of the CS kernel using the "double ratio", and discuss the methodology employed.

    ↳ hep-lathep-phhep-thnucl-th0 citations
  3. 08

    Topological observables and domain wall tension from finite temperature chiral perturbation theory

    Zhen-Yan Lu🇨🇳 · Quan Tang🇨🇳 · Shu-Peng Wang🇨🇳 · Yang Huang🇨🇳 · Zhen Zhang🇨🇳 · Bonan Zhang🇨🇳

    Within the framework of SU(2) chiral perturbation theory, we derive the general solution of the QCD -vacuum for an arbitrary vacuum phase, explicitly incorporating isospin-breaking effects from the light quark mass difference, and compute the temperature dependence of the topological susceptibility, higher-order cumulants, and the domain wall tension up to next-to-leading order. We find that the topological susceptibility agrees with lattice data at low temperatures but deviates at higher temperatures as expected from the breakdown of the chiral expansion; moreover, we demonstrate that the normalized fourth-order cumulant and the domain wall tension decrease monotonically with increasing temperature, while the normalized sixth-order cumulant exhibits the opposite behavior. These results extend earlier analyses by showing how isospin breaking reshapes the full hierarchy of topological charge cumulants and the dynamics of -vacuum domain walls, thereby offering new theoretical input on the -vacuum properties, which are relevant for axion-related effective theories in hot QCD matter.

    ↳ hep-phhep-lathep-thnucl-thPRD(2026)·2 citations
  4. 09

    Quantum Kinetic Theory for Quantum Chromodynamics

    Shu Lin🇨🇳

    We develop a quantum kinetic theory for QCD, which incorporates all leading order collision terms. At lowest order in gradient expansion, it reproduces the spin-averaged Boltzmann equation with both elastic and inelastic collisions. At next order in gradient expansion, the solution to the quantum kinetic equations give spin polarization of on-shell quarks and gluons in quark-gluon plasma when the gradients are of hydrodynamic ones. A power counting in the coupling shows the spin polarization behaves differently in vortical and non-vortical gradients: the former is free of collisional contribution to leading order, while the latter contains a collisional contribution at parametrically the same order as the free theory counterpart. We also find the inelastic collision in a spin basis provides a possible mechanism for conversion between spin and orbital angular momentum.

    ↳ hep-phnucl-th1 citation

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first authorsco-authorsvia INSPIRE