Hyperon-nucleon scattering

Swart, J. J. de; Rijken, Th. A.; Maessen, P. M. M.; Timmermans, Robertus

doi:10.1007/bf02735107

Cited by 20 publications

(20 citation statements)

References 28 publications

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“…In the Low-Nussinov model one can argue that the pomeron-quark coupling leads to a repulsive Gaussian potential [27], which has been used in the Nijmegen soft-core models. The importance of the pomeron in OBE models being compatible with chiral symmetry has already been mentioned above, see also [23]. Exact SU(3) and unitarity cause a strong mixing between the "bare" pomeron and the isosinglet member of the tensor mesons.…”

Section: Mesons Coupling Constants and Flavor Su(3)mentioning

confidence: 72%

“…If this were to be used in a model for the pion-nucleon interaction together with the pseudovector coupling for the pion, one would expect a large violation of the soft-pion constraints on the πN scattering lengths. However, the Nijmegen soft-core OBE models are compatible with these soft-pion constraints, because the potentially dangerous ε contribution is canceled by an opposite pomeron-exchange contribution [23].…”

Section: Mesons Coupling Constants and Flavor Su(3)mentioning

confidence: 93%

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Soft-core hyperon-nucleon potentials

1999

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A new Nijmegen soft-core OBE potential model is presented for the low-energy YN interactions. Besides the results for the fit to the scattering data, which largely defines the model, we also present some applications to hypernuclear systems using the G-matrix method. An important innovation with respect to the original soft-core potential is the assignment of the cut-off masses for the baryon-baryon-meson (BBM) vertices in accordance with broken SU(3)$_F$, which serves to connect the NN and the YN channels. As a novel feature, we allow for medium strong breaking of the coupling constants, using the $^3P_0$ model with a Gell-Mann--Okubo hypercharge breaking for the BBM coupling. We present six hyperon-nucleon potentials which describe the available YN cross section data equally well, but which exhibit some differences on a more detailed level. The differences are constructed such that the models encompass a range of scattering lengths in the $\Sigma N$ and $\Lambda N$ channels. For the scalar-meson mixing angle we obtained values $\theta_S=37$ to 40 degrees, which points to almost ideal mixing angles for the scalar $q\bar{q}$ states. The G-matrix results indicate that the remarkably different spin-spin terms of the six potentials appear specifically in the energy spectra of $\Lambda$ hypernuclei.Comment: 37 pages, 4 figure

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Section: Mesons Coupling Constants and Flavor Su(3)mentioning

confidence: 72%

Section: Mesons Coupling Constants and Flavor Su(3)mentioning

confidence: 93%

Soft-core hyperon-nucleon potentials

1999

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“…The contributions of the Pomeron and the scalar-mesons cancel each other almost completely, as can be seen in the figures for the partial wave potentials, Figure 4. This cancellation is important in order to comply with the soft-pion theorems for low-energy πN scattering [50,51,52]. The σ and the ρ are treated as broad mesons, for details about the treatment we refer to [59].…”

Section: A the Nsc πN -Modelmentioning

confidence: 99%

“…Also we include Pomeron-exchange, where the physical nature of the Pomeron can be seen in the light of QCD as (partly) a two-gluon-exchange effect [48,49], in order to comply with the soft-pion theorems for lowenergy πN scattering [50,51,52]. Furthermore, the exchange of tensor-mesons is included in the NSC model mainly to find a good description of the K + N scattering data.…”

Section: Introductionmentioning

confidence: 99%

Soft-core meson-baryon interactions. II.πNandK+Nscattering

Polinder

Rijken

2005

Phys. Rev. C

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The πN potential includes the t-channel exchanges of the scalar-mesons σ and f0, vector-meson ρ, tensor-mesons f2 and f ′ 2 and the Pomeron as well as the s-and u-channel exchanges of the nucleon N and the resonances ∆, Roper and S11. These resonances are not generated dynamically. We consider them as, at least partially, genuine three-quark states and we treat them in the same way as the nucleon. The latter two resonances were needed to find the proper behavior of the phase shifts at higher energies in the corresponding partial waves. The soft-core πN -model gives an excellent fit to the empirical πN S-and P -wave phase shifts up to T lab = 600 MeV. Also the scattering lengths have been reproduced well and the soft-pion theorems for low-energy πN scattering are satisfied. The soft-core model for the K + N interaction is an SU f (3)-extension of the soft-core πN -model. The K + N potential includes the t-channel exchanges of the scalar-mesons a0, σ and f0, vectormesons ρ, ω and ϕ, tensor-mesons a2, f2 and f ′ 2 and the Pomeron as well as u-channel exchanges of the hyperons Λ and Σ. The fit to the empirical K + N S-, P -and D-wave phase shifts up to T lab = 600 MeV is reasonable and certainly reflects the present state of the art. Since the various K + N phase shift analyses are not very consistent, also scattering observables are compared with the soft-core K + N -model. A good agreement for the total and differential cross sections as well as the polarizations is found.

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“…To give an example: When the np versions of the Argonne [8] and Bonn [15] potentials are (improperly) confronted with the pp data, a χ 2 /datum of 824 and 641, respectively, is obtained [31]. However, if (properly) the pp version of the Bonn potential (see appendix) is confronted with the pp data, a χ 2 /datum of 1.9 is obtained (cf.…”

Section: Polemicsmentioning

confidence: 99%

Nucleon-nucleon potentials in comparison: Physics or polemics?

Machleidt¹,

1994

Physics Reports

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Guided by history, we review the major developments concerning realistic nucleon-nucleon (NN) potentials since the pioneering work by Kuo and Brown on the effective nuclear interaction. Our main emphasis is on the physics underlying various models for the NN interaction developed over the past quarter-century. We comment briefly on how to test the quantitative nature of nuclear potentials properly. A correct calculation (performed by independent researchers) of the χ 2 /datum for the fit of the world NN data yields 5.1, 3.7, and 1.9 for the Nijmegen, Paris, and Bonn potential, respectively. Finally, we also discuss in detail the relevance of the on-and off-shell properties of NN potentials for microscopic nuclear structure calculations.

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Hyperon-nucleon scattering

Cited by 20 publications

References 28 publications

Soft-core hyperon-nucleon potentials

Soft-core hyperon-nucleon potentials

Soft-core meson-baryon interactions. II.πNandK+Nscattering

Nucleon-nucleon potentials in comparison: Physics or polemics?

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