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How machine learning conquers the unitary limit

Communications in Theoretical Physics 2021年第3期73卷 64-72页

作者： Bastian Kaspschak ulf-g meibner Helmholtz-Institut fiir Strahlen-und Kemphysik and Bethe Center for Theoretical Physics Universitat BonnD-53115 BonnGermany Institute for Advanced Simulation Institut fiir Kemphysikand Jiilich Center for Hadron PhysicsForschungszentrum JiilichD-52425 JiilichGermany Tbilisi State University 0186 TbilisiGeorgia

Machine learning has become a premier tool in physics and other fields of *** has been shown that the quantum mechanical scattering problem cannot only be solved with such techniques,but it was argued that the underlying neural network develops the Bom series for shallow ***,classical machine learning algorithms fail in the unitary limit of an infinite scattering *** unitary limit plays an important role in our understanding of bound strongly interacting fermionic systems and can be realized in cold atom ***,we develop a formalism that explains the unitary limit in terms of what we define as unitary limit *** not only allows to investigate the unitary limit geometrically in potential space,but also provides a numerically simple approach towards unnaturally large scattering lengths with standard multilayer *** scope is therefore not limited to applications in nuclear and atomic physics,but includes all systems that exhibit an unnaturally large scale.

关键词： unitary limit machine learning quantum physics

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Production of Charged Heavy Quarkonium-Like States at the LHC and Tevatron

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Communications in Theoretical Physics 2014年第3期61卷 354-358页

作者： gUO Feng-Kun ulf-g. meibner WANg Wei Helmholtz-Institut fiir Strahlen- und Kernphysik and Bethe Center for Theoretical Physics Universitat Bonn D-53115 Bonn Germany Institute for Advanced Simulation Institut fiir Kernphysik and Jiilich Center for Hadron Physics JARA-FAME and JARA-HPC Forschungszentrum Jfilich D-52425 Jfilich Germany

We study prompt hadroproduction of the charged bottomonium-like states Zb± （10610） and Zb±（10650）, and the charged eharmonium-like states Zc± （3900） and Zc± （4020）, at the Tevatron and the LHC, provided that these states are S-wave hadronic molecules. Using two Monte Carlo event generators, Herwig and Pythia, to simulate the production of heavy meson pairs, we derive an order-of-magnitude estimate of the production rates for these four particles. Our estimates yield a cross section at the nb level for the Zb（10610） and Zb（10650）. The results for the Zc（3900） and Zc （4020） are larger by a factor of 2~30. These cross sections are large enough to be observed, and measurements at hadron colliders in the future will supplement the study using electron-positron collisions, and therefore allow to explore the mysterious nature of these exotic states.

关键词： exotic hadrons hadroproduction

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POLE STRUCTURE OF THE A（1405） REgION

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Chinese Physics C 2016年第10期40卷 815-816页

作者： ulf-g. meibner Tetsuo Hyodo Bonn Univ. / FZ Jiilich YITP Kyoto Univ.

The A（1405） resonance emerges in the meson-baryon scattering amplitude with the strangeness S = - 1 and isospin I = 0. It is the archetype of what is called a dynamically generated resonance, as pioneered by Dalitz and Tuan [1]. The most powerful and systematic approach for the low-energy regime of the strong interactions is chiral perturbation theory （ChPT）, see e.g. Ref. 2. A perturbative calculation is, however, not applicable to this sector because of the existence of the A（1405） just below the KN threshold. In this case, ChPT has to be combined with a non-perturbative resummation technique, just as in the case of the nuclear forces. By solving the Lippmann- Schwinger equation with the interaction kernel determined by ChPT and using a particular regularization, in Ref. 3 a successful description of the low-energy K-p scattering data as well as the mass distribution of the A（1405） was achieved （for further developments, see Ref. 4 and references therein）.

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On the structure in the ΛN cross section at the ∑N threshold

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Chinese Physics C 2021年第9期45卷 157-166页

作者： Johann Haidenbauer Uf-g.meibner Institute for Advanced Simulation Institut fur Kemphysik and Julich Center for Hadron PhysicsForschungszentrum JulichD-52425 JulichGermany Helmholtz-Institut fiir Strahlen-und Kemphysik and Bethe Center for Theoretical Physics Universitat Bonn53115 BonnGermany Tbilisi State University 0186 TbilisiGeorgia

The complexity of threshold phenomena is exemplified on a prominent and long-known case-the structure in theΛp cross section(invariant mass spectrum)at the opening of the∑N *** mass splitting between the∑baryons together with the angular momentum coupling in the^(3)S_(1)-^(3)D_(1)partial wave imply that,in principle,up to six channels are *** hyperon-nucleon potentials that provide an excellent description of the available low-energy Λp and∑N scattering data,the shape of the resulting Λp cross section is discussed and the poles near the ∑N threshold are *** for a strangeness S=-1 dibaryon is provided,in the form of a(unstable)∑N bound state in the vicinity of the ∑N *** for level shifts and widths of ∑^(-)p atomic states are given.

关键词： hyperon-nucleon interaction dibaryon threshold effects

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