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Coupled channels approach to eta N and eta ' N interactions

Result description

We present a coupled channels separable potential approach to eta N and eta'N interactions using a chiral symmetric interaction kernel. The s-wave pi N amplitudes and pi(-) p induced total cross sections are reproduced satisfactorily in a broad interval of energies despite limiting the channel space to two-body interactions of pseudoscalar mesons with the baryon ground-state octet. It is demonstrated that an explicit inclusion of the eta 0 meson singlet field leads to a more attractive eta N interaction, with the real part of the scattering length exceeding 1 fm. The eta'N diagonal coupling appears sufficient to generate an eta'N bound state but the inter-channel dynamics moves the respective pole far from the physical region making the eta'N interaction repulsive at energies around the channel threshold. The N* (1535) and N* (1650) resonances are generated dynamically and the origin and properties of the S-matrix poles assigned to them are studied in detail. We also hint at a chance that the N* (1895) state might also be formed provided a suitably varied model setting is found.

Keywords

Chiral dynamicsMeson-nucleon interactionEta-eta' mixingBaryon resonances

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Coupled channels approach to eta N and eta ' N interactions

  • Original language description

    We present a coupled channels separable potential approach to eta N and eta'N interactions using a chiral symmetric interaction kernel. The s-wave pi N amplitudes and pi(-) p induced total cross sections are reproduced satisfactorily in a broad interval of energies despite limiting the channel space to two-body interactions of pseudoscalar mesons with the baryon ground-state octet. It is demonstrated that an explicit inclusion of the eta 0 meson singlet field leads to a more attractive eta N interaction, with the real part of the scattering length exceeding 1 fm. The eta'N diagonal coupling appears sufficient to generate an eta'N bound state but the inter-channel dynamics moves the respective pole far from the physical region making the eta'N interaction repulsive at energies around the channel threshold. The N* (1535) and N* (1650) resonances are generated dynamically and the origin and properties of the S-matrix poles assigned to them are studied in detail. We also hint at a chance that the N* (1895) state might also be formed provided a suitably varied model setting is found.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Result continuities

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Nuclear Physics. A

  • ISSN

    0375-9474

  • e-ISSN

  • Volume of the periodical

    992

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    33

  • Pages from-to

    121630

  • UT code for WoS article

    000497602500018

  • EID of the result in the Scopus database

    2-s2.0-85072705673

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Year of implementation

2019