Hyperon-Nuclear Interactions From SU(3) Chiral Effective Field Theory

Petschauer, S.; Haidenbauer, J.; Kaiser, Norbert; Meißner, Ulf‐G.; Weise, W.

doi:10.3389/fphy.2020.00012

Cited by 43 publications

(27 citation statements)

References 200 publications

(429 reference statements)

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“…[17], from which an hyperfine splitting of 12.9±4.6 MeV is expected. If this figure turns out to be confirmed by future experimental studies, this will discard the "EFT A", "EFT+RGA A", "Accidental" and "Saturation II" estimations can be decomposed into quark-mass independent and quarkmass dependent pieces [61]: the quark-mass dependent piece comes from terms in the Lagrangian where the quark-mass matrix is inserted between the hadron fields, with these terms expected to be subleading (as in this case we are expanding around the massless quark limit). This quark-mass dependence can be translated into a quadratic dependence on the mass of the pseudoscalar Nambu-Goldstone bosons, which can be schematically written as…”

Section: The Hyperfine Splittingmentioning

confidence: 95%

“…M(P cs , 3 2 ) = 4458.8 MeV, (61) where it should be noticed that scenario B is automatically chosen, as for C a /D a ∼ 1 the mass of the P cs pentaquark can only be reproduced if J = 3 2 . The hyperfine splitting will be M(P cs ) = 14.3 (12.7 − 16.5) MeV, (62) which is definitely larger than the estimation from the phenomenological symmetry in the pentaquark potential.…”

Section: The Hyperfine Splittingmentioning

confidence: 99%

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The $$P_{cs}(4459)$$ pentaquark from a combined effective field theory and phenomenological perspective

et al. 2021

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The observation of the $$P_{cs}(4459)$$ P cs ( 4459 ) by the LHCb collaboration adds a new member to the set of known hidden-charm pentaquarks, which includes the $$P_c(4312)$$ P c ( 4312 ) , $$P_c(4440)$$ P c ( 4440 ) and $$P_c(4457)$$ P c ( 4457 ) . The $$P_{cs}(4459)$$ P cs ( 4459 ) is expected to have the light-quark content of a $$\Lambda $$ Λ baryon ($$I=0$$ I = 0 , $$S=-1$$ S = - 1 ), but its spin is unknown. Its closeness to the $${\bar{D}}^* \Xi _c$$ D ¯ ∗ Ξ c threshold – $$4478\,{\mathrm{MeV}}$$ 4478 MeV in the isospin-symmetric limit – suggests the molecular hypothesis as a plausible explanation for the $$P_{cs}(4459)$$ P cs ( 4459 ) . While in the absence of coupled-channel dynamics heavy-quark spin symmetry predicts the two spin-states of the $${\bar{D}}^* \Xi _c$$ D ¯ ∗ Ξ c to be degenerate, power counting arguments indicate that the coupling with the nearby $${\bar{D}} \Xi _c'$$ D ¯ Ξ c ′ and $${\bar{D}} \Xi _c^*$$ D ¯ Ξ c ∗ channels might be a leading order effect. This generates a hyperfine splitting in which the $$J=\tfrac{3}{2}$$ J = 3 2 $${\bar{D}}^* \Xi _c$$ D ¯ ∗ Ξ c pentaquark will be lighter than the $$J=\tfrac{1}{2}$$ J = 1 2 configuration, which we estimate to be of the order of $$5-15\,{\mathrm{MeV}}$$ 5 - 15 MeV . We also point out an accidental symmetry between the $$P_{cs}(4459)$$ P cs ( 4459 ) and $$P_c(4440/4457)$$ P c ( 4440 / 4457 ) potentials. Finally, we argue that the spectroscopy and the $$J/\psi \Lambda $$ J / ψ Λ decays of the $$P_{cs}(4459)$$ P cs ( 4459 ) might suggest a marginal preference for $$J = \tfrac{3}{2}$$ J = 3 2 over $$J = \tfrac{1}{2}$$ J = 1 2 .

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Section: The Hyperfine Splittingmentioning

confidence: 95%

Section: The Hyperfine Splittingmentioning

confidence: 99%

The $$P_{cs}(4459)$$ pentaquark from a combined effective field theory and phenomenological perspective

et al. 2021

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“…In the present work, we study CSB in the hyperon-nucleon (Y N) interaction within SU(3) chiral effective field theory (EFT) [19][20][21][22], which is an extension of Weinberg's idea suggested for nuclear forces [23] to systems involving baryons with strangeness. In this approach, the long-range part of the interaction (due to exchange of pseudoscalar mesons) is fixed by chiral symmetry.…”

Section: Introductionmentioning

confidence: 99%

Constraints on the $$\varLambda $$-Neutron Interaction from Charge Symmetry Breaking in the $$\mathbf {^4_\Lambda \mathrm{He}}$$ - $$\mathbf {^4_\Lambda \mathrm{H}}$$ Hypernuclei

2021

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We utilize the experimentally known difference of the $$\varLambda $$ Λ separation energies of the mirror hypernuclei $${^4_\varLambda \mathrm{He}}$$ Λ 4 He and $${^4_\varLambda \mathrm{H}}$$ Λ 4 H to constrain the $$\varLambda $$ Λ -neutron interaction. We include the leading charge-symmetry breaking (CSB) interaction into our hyperon-nucleon interaction derived within chiral effective field theory at next-to-leading order. In particular, we determine the strength of the two arising CSB contact terms by a fit to the differences of the separation energies of these hypernuclei in the $$0^+$$ 0 + and $$1^+$$ 1 + states, respectively. By construction, the resulting interaction describes all low energy hyperon-nucleon scattering data, the hypertriton and the CSB in $${^4_\varLambda \mathrm{He}}$$ Λ 4 He -$${^4_\varLambda \mathrm{H}}$$ Λ 4 H accurately. This allows us to provide first predictions for the $$\varLambda $$ Λ n scattering lengths, based solely on available hypernuclear data.

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“…LQCD has given impressive results for hadron spectroscopy [2][3][4] and low-energy physics [5][6][7][8] during the last decades. The other class of approaches are effective theories that exploit the chiral symmetry of the QCD Lagrangian [9][10][11][12][13]. At low energy, the exchange of hadrons appears to describe the appropriate degrees of freedom for the excitation spectrum and the scattering cross section of baryonic resonances.…”

Section: Introductionmentioning

confidence: 99%

Study of excited $$\varvec{\varXi }$$ baryons with the $$\overline{\text{ P }}$$ANDA detector

et al. 2021

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The study of baryon excitation spectra provides insight into the inner structure of baryons. So far, most of the world-wide efforts have been directed towards $$N^*$$ N ∗ and $$\varDelta $$ Δ spectroscopy. Nevertheless, the study of the double and triple strange baryon spectrum provides independent information to the $$N^*$$ N ∗ and $$\varDelta $$ Δ spectra. The future antiproton experiment $$\overline{\text{ P }}$$ P ¯ ANDA will provide direct access to final states containing a $${\overline{\varXi }}\varXi $$ Ξ ¯ Ξ pair, for which production cross sections up to $$\mu \text{ b }$$ μ b are expected in $$\bar{\text{ p }}$$ p ¯ p reactions. With a luminosity of $$L=10^{31}$$ L = 10 31 cm$$^{-2}$$ - 2 s$$^{-1}$$ - 1 in the first phase of the experiment, the expected cross sections correspond to a production rate of $$\sim 10^6\, \text{ events }/\text{day }$$ ∼ 10 6 events / day . With a nearly $$4\pi $$ 4 π detector acceptance, $$\overline{\text{ P }}$$ P ¯ ANDA will thus be a hyperon factory. In this study, reactions of the type $$\bar{\text{ p }}$$ p ¯ p $$\rightarrow $$ → $${\overline{\varXi }}^{+}$$ Ξ ¯ + $$\varXi ^{*-}$$ Ξ ∗ - as well as $$\bar{\text{ p }}$$ p ¯ p $$\rightarrow $$ → $${\overline{\varXi }}^{*+}$$ Ξ ¯ ∗ + $$\varXi ^{-}$$ Ξ - with various decay modes are investigated. For the exclusive reconstruction of the signal events a full decay tree fit is used, resulting in reconstruction efficiencies between 3 and 5%. This allows high statistics data to be collected within a few weeks of data taking.

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Hyperon-Nuclear Interactions From SU(3) Chiral Effective Field Theory

Cited by 43 publications

References 200 publications

The $$P_{cs}(4459)$$ pentaquark from a combined effective field theory and phenomenological perspective

The $$P_{cs}(4459)$$ pentaquark from a combined effective field theory and phenomenological perspective

Constraints on the $$\varLambda $$-Neutron Interaction from Charge Symmetry Breaking in the $$\mathbf {^4_\Lambda \mathrm{He}}$$ - $$\mathbf {^4_\Lambda \mathrm{H}}$$ Hypernuclei

Study of excited $$\varvec{\varXi }$$ baryons with the $$\overline{\text{ P }}$$ANDA detector

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