Binding energies of the s-shell hypernuclei and the Λ well depth

Bodmer, A.R.; Usmani, Q. N.

doi:10.1016/0375-9474(88)90410-1

Cited by 72 publications

(86 citation statements)

References 23 publications

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“…In this study we consider potential parameters that are consistent with low energy Λp scattering data that essentially determine the value of spin-average strengthV = 6.15 ± 0.05 MeV [4].…”

Section: §2 the Hamiltonianmentioning

confidence: 99%

“…The two-body ΛN potential V ΛN includes a central potential [4] of the same form for the singlet and triplet spin states. These have a theoretically reasonable attractive tail due to the TPE in accord with Urbana type potentials [13] with spin-and space-exchange terms.…”

Section: §2 the Hamiltonianmentioning

confidence: 99%

“…P x is the Majorana space-exchange operator, ǫ is the corresponding exchange parameter, V c is the Woods-Saxon repulsive core [4], and T π is the one-pion-exchange (OPE) tensor potential shape modified with a cutoff. Further details can be found in Ref.…”

Section: §2 the Hamiltonianmentioning

confidence: 99%

“…Any attempt to correct this leads to poor agreement with the scattering data. The second method is primarily based on reliable variational techniques, mostly using simplified NN interactions [3,4]. We follow this approach but use realistic Argonne υ 18 NN interaction[5] along with Urbana IX three-body NNN interaction [6,7].…”

Section: [Abstract]mentioning

confidence: 99%

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Phenomenological Λ-nuclear interactions

2002

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[ABSTRACT]Variational Monte Carlo calculations for We use the Argonne υ 18 two-body NN along with the Urbana IX three-body NNN interactions.The study demonstrates that a large part of the splitting energy in The study of the response of a many-body system to a hyperon gives insight into the structure of baryon-baryon interactions. The binding energy data of light s-shell hypernuclei provide a unique opportunity to know more about the Λ-nuclear interactions, particularly on their spindependence. In the past, basically two approaches have been followed. The first one involves Brueckner-Hartree calculations using Nijmegen YN potential with and without higher order correction to single-particle energies [1,2]. This method uses the large ΛN →ΣN coupling which gives considerably lower binding energy for 5 Λ He. Any attempt to correct this leads to poor agreement with the scattering data. The second method is primarily based on reliable variational techniques, mostly using simplified NN interactions [3,4]. We follow this approach but use realistic Argonne υ 18 NN interaction[5] along with Urbana IX three-body NNN interaction [6,7]. The phenomenolog-

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Section: §2 the Hamiltonianmentioning

confidence: 99%

Section: §2 the Hamiltonianmentioning

confidence: 99%

Section: §2 the Hamiltonianmentioning

confidence: 99%

Section: [Abstract]mentioning

confidence: 99%

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Phenomenological Λ-nuclear interactions

2002

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“…In this work, we used the Coulomb force for the pion and proton pairs. Additionally, we used the Reid93 nucleon-nucleon force for protons [26] and the phenomenological potential of Bodmer and Usmani for Λp pairs [27]. Since the Λp potential is not very well known, we reanalyzed the pΛ correlation using a simplified kernel that depends only on the pΛ effective range and scattering length.…”

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confidence: 99%

Comparison of Source Images for Protons,π−’s, andΛ’s in6A G
Chung¹,
Ajitanand²,
Alexander³
et al. 2003
Phys. Rev. Lett.
27
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6
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Source images are extracted from two-particle correlations constructed from strange and nonstrange hadrons produced in 6 AGeV Au + Au collisions. Very different source images result from pp vs pΛ vs π − π − correlations. These observations suggest important differences in the space-time emission histories for protons, pions and neutral strange baryons produced in the same events.Relativistic heavy ion collisions of 1-10 AGeV produce a fireball of nuclear matter with extremely high baryon and energy density [1]. The dynamical evolution of this fireball is driven by such fundamental properties as the nuclear Equation of State (EOS) and possibly by a phase transition, e.g., to a Quark Gluon Plasma (QGP) [2,3,4,5,6]. Two-particle correlation studies, for various particle species, provide an important probe of the space-time extent of this fireball [7,8,9,10]. Recent model calculations suggest that the time scale for freeze-out of strange and multi-strange particles may be much shorter than that for non-strange particles [11,12], implying a much smaller space-time emission zone for strange particles. If this is indeed the case, then correlation studies involving strange particles may serve as important "signposts" for dynamical back-tracking into the very early stage of the collision where large energy densities are achieved [13].In this letter we compare the source properties for protons, π − 's and Λ hyperons extracted from pp, π − π − and pΛ correlation functions, as produced in 6 AGeV Au+Au collisions. These data are unique in that they constitute the first measurement of pΛ correlations. If Λ hyperons are in fact emitted from a source with a smaller spacetime extent, then between this and π − source broadening from resonance decays, one might naively expect an ordering of two-particle source sizes: R pΛ < R pp < R ππ . On the other hand, at these energies the 3-dimensional π − radii exhibit m T scaling [7,14] and this should manifest itself in the angle-averaged π − sources. Furthermore, since m T scaling can be ascribed to position-momentum correlations in the particle emission function [15], one might expect similar effects in the pp and pΛ sources. As we will show, neither an interpretation based solely on position-momentum correlations nor on naive geometrical arguments can fully account for the relative size of

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