The nucleon-nucleon interaction in terms of quark degrees of freedom

Fernández, F.; Valcarce, A.; Sträub, U.; Faessler, Amand

doi:10.1088/0954-3899/19/12/007

Cited by 173 publications

(190 citation statements)

References 26 publications

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“…We have also worked out the predictions for the strangeness-less baryons of the SU(2) chirally inspired quark-quark interactions developed in Ref. [22,29]. The chirally inspired potential, AL1χ, predicts masses for the Λ Q baryons of about 155 (charm sector) and 168 (bottom sector) MeV smaller than those obtained from the phenomenological AL1 interaction.…”

Section: Discussionmentioning

confidence: 99%

“…[22] a quark-quark interaction that, apart from the effective OGE and confining terms, contains a pseudoscalar (V PS ) and a scalar (V S ) potentials provided by the exchange of Goldstone bosons. This model was used in Ref.…”

Section: A Intrinsic Hamiltonianmentioning

confidence: 99%

“…[22,29] Besides, the overall origin of energies, a b , takes the value of 122.1 MeV. Note that λ i λ j takes the value −16/3…”

Section: A Intrinsic Hamiltonianmentioning

confidence: 99%

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Charmed and bottom baryons: a variational approach based on heavy quark symmetry

et al. 2004

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The use of Heavy Quark Symmetry to study bottom and charmed baryons leads to important simplifications of the non-relativistic three body problem, which turns out to be easily solved by a simple variational ansatz. Our simple scheme reproduces previous results (baryon masses, charge and mass radii, · · ·) obtained by solving the Faddeev equations with simple non-relativistic quark-quark potentials, adjusted to the light and heavy-light meson spectra. Wave functions, parameterized in a simple manner, are also given and thus they can be easily used to compute further observables. Our method has been also used to find the predictions for strangeness-less baryons of the SU(2) chirally inspired quark-quark interactions. We find that the one pion exchange term of the chirally inspired interactions leads to relative changes of the Λ b and Λc binding energies as large as 90%.

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Section: Discussionmentioning

confidence: 99%

Section: A Intrinsic Hamiltonianmentioning

confidence: 99%

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Charmed and bottom baryons: a variational approach based on heavy quark symmetry

et al. 2004

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“…The chiral quark model includes the interaction between the constituent quark and chiral fields (π, K, η) besides the quark gluon interaction. Replacing the nucleon fields in the linear σ model [352] with quarks, one gets the SU(2) σ model at the quark level [353]. The interaction term reads…”

Section: Chiral Quark Modelmentioning

confidence: 99%

The hidden-charm pentaquark and tetraquark states

et al. 2016

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In the past decade many charmonium-like states were observed experimentally. Especially those charged charmoniumlike Z c states and bottomonium-like Z b states can not be accommodated within the naive quark model. These charged Z c states are good candidates of either the hidden-charm tetraquark states or molecules composed of a pair of charmed mesons. Recently, the LHCb Collaboration discovered two hidden-charm pentaquark states, which are also beyond the quark model. In this work, we review the current experimental progress and investigate various theoretical interpretations of these candidates of the multiquark states. We list the puzzles and theoretical challenges of these models when confronted with the experimental data. We also discuss possible future measurements which may distinguish the theoretical schemes on the underlying structures of the hidden-charm multiquark states.

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“…We have also considered a potential derived in the context of the SU(2) linear sigma model in Ref. [10] and that contains a pattern of spontaneous chiral symmetry breaking.…”

Section: The Modelmentioning

confidence: 99%

A Heavy Quark Symmetry Approach to Baryons

Albertus¹,

Amaro²,

Hernández³

et al. 2005

Nuclear Physics A

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We evaluate different properties of baryons with a heavy c or b quark. The use of Heavy Quark Symmetry (HQS) provides with an important simplification of the non relativistic three body problem which can be solved by means of a simple variational approach. This scheme is able to reproduce previous results obtained with more involved Faddeev calculations. The resulting wave functions are parametrized in a simple manner, and can be used to calculate further observables.

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The nucleon-nucleon interaction in terms of quark degrees of freedom

Cited by 173 publications

References 26 publications

Charmed and bottom baryons: a variational approach based on heavy quark symmetry

Charmed and bottom baryons: a variational approach based on heavy quark symmetry

The hidden-charm pentaquark and tetraquark states

A Heavy Quark Symmetry Approach to Baryons

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