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Predictions for charmed nuclei based on Yc N forces inferred from lattice QCD simulations

2020/03/17 by J. Haidenbauer, Johann Haidenbauer, A. Nogga +2 · 11 citations
Physics and Astronomy · #Algorithm #Computer science #High-Energy Particle Collisions Research #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1140/epja/s10050-020-00185-x

published in The European Physical Journal A 56(7) (Springer Science+Business Media) · 13 pages, 5 figures

arxiv created 2020/03/17 · openalex publication_date 2020/07/01 · arxiv updated 2020/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract Charmed nuclei are investigated utilizing \varLambda c N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mi>N</mml:mi></mml:mrow></mml:math> and \varSigma c N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Σ</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mi>N</mml:mi></mml:mrow></mml:math> interactions that have been extrapolated from lattice QCD simulations at unphysical masses of mπ = 410 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>π</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>410</mml:mn></mml:mrow></mml:math> –570 MeV to the physical point using chiral effective field theory as guideline. Calculations of the energies of \varLambda c <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math> single-particle bound states for various charmed nuclei from 5\varLambda c <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mrow/><mml:msub><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mrow><mml:mspace/><mml:mn>5</mml:mn></mml:mrow></mml:msubsup></mml:math> Li to 209\varLambda c <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mrow/><mml:msub><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mn>209</mml:mn></mml:msubsup></mml:math> Bi are performed using a perturbative many-body approach. This approach allows one to determine the finite nuclei \varLambda c <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math> self-energy from which the energies of the different bound states can be obtained. Though the \varLambda c N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mi>N</mml:mi></mml:mrow></mml:math> interaction inferred from the lattice results is only moderately attractive, it supports the existence of charmed nuclei. Already the lightest nucleus considered is found to be bound. The spin-orbit splitting of the p- and d-wave states turns out to be small, as in the case of single \varLambda <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Λ</mml:mi></mml:math> hypernuclei. Additional calculations based on the Faddeev-Yakubovsky equations suggest that also A=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:math> systems involving a \varLambda c <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math> baryon are likely to be bound, but exclude a bound 3\varLambda c\hbox He <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msubsup><mml:mrow/><mml:msub><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mrow><mml:mspace/><mml:mn>3</mml:mn></mml:mrow></mml:msubsup><mml:mtext>He</mml:mtext></mml:mrow></mml:math> state.

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