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Nuclear Theory·nucl-th

Monday·January 20, 2025

7 papers—3 primary·4 cross-listed

All7Primary3Cross-lists4
  1. 04

    Coupled-channel formalism

    José Antonio Oller🇪🇸

    This article provides a pedagogical exploration of coupled-channel scattering in hadronic physics, focusing on theoretical methodologies, and practical applications. It covers key concepts such as the method, Castillejo-Dalitz-Dyson poles, and the generalization of these techniques to coupled channels. The article also presents a parameterization for partial wave amplitudes, ensuring unitarity and analyticity, and addresses scattering near the threshold of dominant channels, with use also of the Lippmann-Schwinger equation. Additionally, it explores final-state interactions, Omnès and Muskhelishvily solutions, the Khuri-Treiman approach, and the two-potential model for resonant event distributions, highlighting the role of Riemann sheets in resonance behavior. These methods are also applicable to related fields like nuclear and atomic physics.

    ↳ hep-phnucl-th8 citations
  2. 05

    Gluon skewed generalized parton distributions of proton from a light-front Hamiltonian approach

    Pengxiang Zhang🇨🇳 · Yiping Liu🇨🇳 · Siqi Xu🇨🇳 · Chandan Mondal🇨🇳 · Xingbo Zhao🇨🇳 · James P. Vary🇺🇸

    We calculate all leading-twist gluon generalized parton distributions (GPDs) inside the proton at nonzero skewness using the basis light-front quantization framework. The proton's light-front wave functions are derived from a light-front quantized Hamiltonian incorporating Quantum Chromodynamics inputs. Our results show that the qualitative behaviors of the GPDs are consistent with those from other theoretical calculations. Additionally, we analyze the GPDs in the boost-invariant longitudinal coordinate, , which serves as the Fourier conjugate of the skewness. The GPDs in -space exhibit diffraction patterns, reminiscent of optical wave diffraction.

    ↳ hep-phhep-thnucl-thPLB(2025)·11 citations
  3. 06

    Pauli principle forbids bound states

    H. Garcilazo🇲🇽 · A. Valcarce🇪🇸

    Lattice QCD studies have shown the attractive character of the , , interaction, predicting deeply bound states as the mass of the heavy quark increases. This has led to the question of the possible existence of bound states of more than two baryons, in particular bound states. We discuss how these states might not exist in nature in any flavor sector. The reason would be due to the simultaneous action of two consequences of the Pauli principle in the different partial waves: one at the baryon level, affecting the partial wave, and the other due to the quark substructure, affecting the partial wave.

    ↳ hep-phnucl-thPRD(2025)·1 citation
  4. 07

    tribaryons

    H. Garcilazo🇲🇽 · A. Valcarce🇪🇸

    We study the possible existence of bound states of three baryons. We consider only wave interactions and we start from recent lattice QCD results which give a strongly attractive potential between two baryons in the channel. We analyze different scenarios. At baryonic level, the interaction could be understood to be basically spin-independent, so that the two contributing channels, and , would have a very similar interaction. This baryonic analysis leads to the existence of bound states in the three-body system. At the quark level, repulsive effects would appear in the channel, making it more repulsive than the channel. We study the effect of such repulsion in terms of its range.

    ↳ hep-phnucl-thRev.Mex.Fis.(2024)·3 citations

Affiliations

first authorsco-authorsvia INSPIRE