Extended-soft-core baryon-baryon model ESC16. II. Hyperon-nucleon interactions

Abstract

This paper presents the Extended-Soft-Core (ESC) potentials ESC08c for baryon-baryon channels with total strangeness S = −2. The potential models for S = −2 are based on SU(3) extensions of potential models for the S = 0 and S = −1 sectors, which are fitted to experimental data. Flavor SU(3)-symmetry is broken only 'kinematically' by the masses of the baryons and the mesons. For the S=-2 channels no experimental scattering data exist, and also the information from hypernuclei is rather limited. Nevertheless, in the fit to the S = 0 and S = −1 sectors information from the NAGARA event and the Ξ-well-depth has been used as constraints to determine the free parameters in the simultaneous fit of the N N ⊕ Y N ⊕ Y Y data. Therefore, the potentials for the S = −2 sectors are mainly determined by the NN-, YN-data, and SU(3)-symmetry. Various properties of the potentials are illustrated by giving results for scattering lengths, bound states, phase-parameters, and total cross sections. Notably is the prediction of a bound state D * in the ΞN ( 3 S1, I = 1)-channel with a binding energy BE = 1.56 MeV. This state is "deuteron-like" i.e. a member of the {10 * }-decuplet. As for the normal deuteron D = pn( 3 S1 − 3 D1) the strong tensor force is responsible for this state.The features of Ξ hypernuclei predicted by ESC08c are studied on the basis of the G-matrix approach. The well-depth UΞ = −7.0 MeV and the ΞN − ΛΛ conversion width is Γ c Ξ = 4.5 MeV.

Strangeness in nuclei and neutron stars

“…(Color online) Exclusion plot for the ΛΛ scattering parameters obtained comparing the predictions for the correlation function using the Lednicky formalism to the measured ΛΛ correlations in pp at 7 and 13 TeV and pP b collisions at the LHC[202].to the N N ones using SU(3) symmetry. The Nijmegen Soft-Core 97 (NSC97a-f)[215,216] and Extended Soft-Core (ESC)[217][218][219] are extensions of the Nijmegen potentials for N N and the NSC89 Y N model. The coupling constants are determined by using SU(3) relations and fitting to the available N N and Y N scattering data.…”

Neutral baryonic systems with strangeness

“…where the four free parameters A, B, µ A , and µ B were determined by fitting the low-energy data and the phase-shifts of each channel as given in the update of the strangeness −1 42 and −2 43,44 ESC08c Nijmegen potentials. The low-energy data and the parameters of these models, together with those of the N N interaction of Ref.…”

“…55 used separable potentials tuned to the low-energy parameters of the Nijmegen ESC08 baryon-baryon interactions. [42][43][44] Recently, Ref. 67 has studied this system using a separable model of the available HAL QCD Collaboration potentials for the (i, j) = (0, 0) ΛΛ − ΞN channel 46 and also the full set of ΛΛ and ΞN HAL QCD baryonbaryon interactions with near-physical quark masses released when this review was already finished.…”

“…The results in parenthesis were obtained neglecting the N ΛΣ and N ΣΣ channels. [42][43][44] that give no indication of either a bound state or a resonance in the strangeness −2 (0, 0 + ) ΛΛ − ΞN two-body channel b . The three-body bound state problem was extended into the continuum region to look for possible resonances above the ΛΛN threshold.…”

Hyperon-Nuclear Interactions From SU(3) Chiral Effective Field Theory

“…However, at experimental facilities such as J-PARC in Japan or later at FAIR in Germany, a significant amount of beam time will be devoted to strangeness nuclear physics. Various phenomenological approaches have been employed to describe the Y N interaction, in particular boson-exchange models [18][19][20][21][22][23] or quark models [24][25][26]. However, given the poor experimental data base, these interactions differ considerably from each other.…”