Meson exchange model for pseudoscalar meson-meson scattering

A dynamical model for S-and P-wave correlated 2π (and KK) exchange between a kaon and a nucleon is presented, starting from corresponding NN → KK amplitudes in the pseudophysical region, which have been constructed from nucleon, ∆-isobar and hyperon (Λ, Σ) exchange Born terms and a realistic meson exchange model of the ππ → KK and KK → KK amplitude. The contribution in the s-channel is then obtained by performing a dispersion relation over the unitarity cut. In the ρ-channel, considerable ambiguities exist, depending on how the dispersion integral is performed. Our model, supplemented by short range interaction terms, is able to describe empirical K + N data below pion production threshold in a satisfactory way.

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“…The description of the data turns out to be as successful as in Ref. [10]. For more details, the reader is referred to [7].…”

Section: Microscopic Model For the Nn → Kk Processmentioning

confidence: 83%

Role of correlated two-pion exchange in K+N scattering

Hoffmann¹,

Durso²,

Holinde³

et al. 1995

Nuclear Physics A

Self Cite

106

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“…The correlations between the two mesons have been taken into account by means of ππ − KK amplitudes, determined in the field theoretical framework of Refs. [16][17][18], which provide an excellent description of empirical ππ data up to 1.3 GeV. With the help of unitarity and dispersion-theoretical methods, the baryonbaryon amplitudes for correlated ππ and KK exchange in the J P = 0 + (σ ) and J P = 1 − (ρ) t-channels have then been determined.…”

Section: Discussionmentioning

confidence: 99%

“…[14], but was extended in a recent paper [15] by the Jülich group so that now a full and consistent microscopic derivation of correlated ππ exchange in various baryon-baryon (BB ) channels with strangeness S = 0, −1, and −2 is available. The starting point was a field theoretical model for both the NN → ππ Born amplitudes and the ππ and KK elastic scattering [16][17][18]. Thus, the KK channel is treated on an equal footing with the ππ channel in order to reliably determine the influence of KK correlations in the relevant t-channels.…”

Section: Introductionmentioning

confidence: 99%

Jülich hyperon-nucleon model revisited

Haidenbauer¹,

Meißner²

2005

Phys. Rev. C

245

326

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A one-boson-exchange model for the hyperon-nucleon ( N, N ) interaction is presented. The model incorporates the standard one boson exchanges of the lowest pseudoscalar and vector meson multiplets with coupling constants fixed by SU(6) flavor symmetry relations. As the main new feature of the model, the contributions in the scalar-isoscalar (σ ) and vector-isovector (ρ) exchange channels are now constrained by a microscopic model of correlated ππ and KK exchange. Additional short-ranged ingredients of the model in the scalar-isovector (a 0 ) and scalar-isospin-1/2 (κ) channels are likewise viewed as arising from meson-meson correlations but are treated phenomenologically. With this model a satisfactory reproduction of the available hyperon-nucleon data can be achieved.

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“…[16] the Jülich meson exchange model [25] is extended to account for the meson-meson interaction in the T = 0 and T = 1 channels. A coupled channel approach with the KK and ππ channel in T = 0 and KK and πη channel in T = 1 was followed and the f 0 and a 0 states appeared as poles of the t-matrix.…”

Section: Introductionmentioning

confidence: 99%

Chiral symmetry amplitudes in the S-wave isoscalar and isovector channels and the σ, f0(980), a0(980) scalar mesons

1997

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We use a nonpertubative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangian. By means of one parameter, a cut off in the momentum of the loop integrals, which results of the order of 1 GeV, we obtain singularities in the S-wave amplitudes corresponding to the σ, f 0 and a 0 resonances. The ππ → ππ , ππ → KK phase shifts and inelasticities in the T = 0 scalar channel are well reproduced as well as the π 0 η and KK mass distributions in the T = 1 channel. Furthermore, the total and partial decay widths of the f 0 and a 0 resonances are properly reproduced including also the decay into the γγ channel. The results seem to indicate that chiral symmetry constraints at low energy and unitarity in coupled channels is the basic information contained in the meson-meson interaction below √ s ≃ 1.2 GeV .

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Meson exchange model for pseudoscalar meson-meson scattering

Cited by 190 publications

References 20 publications

Role of correlated two-pion exchange in K+N scattering

Role of correlated two-pion exchange in K+N scattering

Jülich hyperon-nucleon model revisited

Chiral symmetry amplitudes in the S-wave isoscalar and isovector channels and the σ, f0(980), a0(980) scalar mesons

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