Quark Models of the Nucleon–Nucleon Interaction

Fernández, F.; Ortega, Pablo G.; Entem, D. R.

doi:10.3389/fphy.2019.00233

Cited by 10 publications

(13 citation statements)

References 102 publications

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“…where the tetraquark |s 4 [4]L 0 S 0 T 0 and diquark |s 2 [2]lst have the 2 ω relative-motion wavefunction and mutual orbital momenta L = 0, 2 allowable for a two-quanta excitation of the h.o.f. The most low-lying six-quark configurations correspond to the tetraquark having L 0 = 0, S 0 T 0 = 01 or 10 and the diquark being in a scalar (lst = 000) or axial (lst = 011) states [34].…”

Section: Dibaryon Masses and Nucleon Resonance Thresholdsmentioning

confidence: 99%

“…with i = 1, ..., 4 being the number in the set (19). One can see that the Pauli exclusion principle does not forbid the unexcited configurations s 6 [6] X and s 5 p [51] X in the channels with positive and negative parity, respectively, but severely limits the set of allowable Young schemes in the CS subspace, reducing the allowed basis to only a single CS state [2 3 ] CS ([2 2 1 2 ] CS ) in even triplet (singlet) partial waves and strongly restricting the basis in odd partial waves. At the same time, the excited configurations s 4 p 2 [42] X and s 3 p 3 [3 2 ] X satisfy the Pauli principle for any value of the CS Young scheme from the Clebsch-Gordan series (17) and (19) for the inner product of color and spin Young schemes in the triplet (S = 1) and singlet (S = 0) channels.…”

Section: The External Hamiltonianmentioning

confidence: 99%

“…Despite the fact that there are a lot of QCD-motivated models, which can explain the basic properties of baryons and mesons, still one has no quantitative models to relate the properties of quarks and gluons with the properties of the nuclear force and the structure of nuclei. Although there are a number of quark models for the N N interaction which describe N N elastic scattering (see, e.g., the reviews [1,2]), there are only a few (if any) quark-model approaches to the description of both elastic and inelastic N N collisions above the pion-production threshold. Moreover, the quark models developed to date do not provide a quantitative description of nuclear phenomena.…”

Section: Introductionmentioning

confidence: 99%

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Dibaryon resonances and short-range $NN$ interaction

Kukulin¹,

Pomerantsev²,

Rubtsova³

et al. 2022

Preprint

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The dibaryon concept for the nuclear force is considered, assuming that the main attraction between the nucleons at medium distances is determined by the s-channel exchange of an intermediate six-quark (dibaryon) state. To construct the respective N N interaction model, a microscopic sixquark description of the N N system is used, in which symmetry aspects play a special role. The interaction within the dibaryon model includes a superposition of t-channel long-range one-pion exchange and s-channel dibaryon exchange. This interaction model is shown to give a good description of both elastic phase shifts and inelasticities of N N scattering in various partial waves in a broad energy range from zero to 600-800 MeV and even higher. It is shown also that the suggested coupling between the external N N channel and internal 6q channel leads to a dressing of the intermediate dibaryon state. Finally, the parameters of the dressed dibaryons corresponding to the best fit of N N scattering data turn out to be very close to the parameters of the observed dibaryon resonances in those N N partial configurations where their existence has been experimentally confirmed.

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Section: Dibaryon Masses and Nucleon Resonance Thresholdsmentioning

confidence: 99%

Section: The External Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dibaryon resonances and short-range $NN$ interaction

Kukulin¹,

Pomerantsev²,

Rubtsova³

et al. 2022

Preprint

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“…3. At the extremely short distances of d < 1 fm a strong repulsive core appears mainly due to the Pauli princi-ple [68] even among protons and neutrons due to their constituents [67,69,70].…”

Section: Basic Properties Of the Strong Forcementioning

confidence: 99%

Why nuclear forces favor the highest weight irreducible representations of the fermionic SU(3) symmetry

Martinou,

Bonatsos,

Karakatsanis

et al. 2021

Preprint

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The consequences of the attractive, shortrange nucleon-nucleon (NN) interaction on the wave functions of the Elliott SU(3) and the proxy-SU(3) symmetry are discussed. The NN interaction favors the most symmetric spatial SU(3) irreducible representation, which corresponds to the maximal spatial overlap among the fermions. The percentage of the symmetric components out of the total in an SU(3) wave function is introduced, through which it is found, that no SU(3) irrep is more symmetric than the highest weight irrep for a certain number of valence particles in a three dimensional, isotropic, harmonic oscillator shell. The consideration of the highest weight irreps in nuclei and in alkali metal clusters, leads to the prediction of a prolate to oblate shape transition beyond the mid-shell region.

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“…Quark Model is one of the common tools to study multiquark states observed by experiments. This work is discussed in the framework of the Chiral Quark Model (ChQM), which has made lots of achievements in describing hadron spectrum and hadron-hadron interaction [32][33][34][35][36]. The specific introduction of the model can be found in Ref.…”

Section: A the Chiral Quark Modelmentioning

confidence: 99%

Pentaquarks with the $qqs\bar{Q}Q$ configuration in the Chiral Quark Model

Zhang,

He,

Ping

2020

Preprint

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We study the five-quark system composed of qqs QQ configuration (q = u or d, Q = b or c), in the framework of the chiral quark model. In consequence, a series of bound states with heavy flavors are predicted by precise five-body dynamical calculations. We found that taking color-octet structure into consideration always provides more bounding energy than color-singlet structure, and the more heavier quark prevents, the easier to form the bound states. We suggest qqs bb configuration is a compact bb-pair surrounded by three other quarks, while qqs bc, qqscb and qqscc configurations are molecular states.

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Quark Models of the Nucleon–Nucleon Interaction

Cited by 10 publications

References 102 publications

Dibaryon resonances and short-range $NN$ interaction

Dibaryon resonances and short-range $NN$ interaction

Why nuclear forces favor the highest weight irreducible representations of the fermionic SU(3) symmetry

Pentaquarks with the $qqs\bar{Q}Q$ configuration in the Chiral Quark Model

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