Reaction-matrix calculations of the lambda-particle binding in nuclear matter for central lambda n potentials - INSPIRE

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Reaction-matrix calculations of the lambda-particle binding in nuclear matter for central lambda n potentials

A.R. Bodmer
(
- Argonne and
- Illinois U., Chicago
)
,
D.M. Rote
(
- Argonne and
- Illinois U., Chicago
)

1973

34 pages

Published in:

Nucl.Phys.A 201 (1973) 145-178

Published: 1973

DOI:

10.1016/0375-9474(73)90694-5

View in:

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Abstract: (Elsevier)

Extensive results, obtained in the G -matrix approximation for a wide range of central ΛN Yukawa potentials both with hard cores (HC) and soft repulsive cores, are presented for the Λ well depth (binding energy of a Λ-particle in nuclear matter) and related quantities. The HC results, in particular, span a wide range of scattering lengths a , effective ranges r 0 and hard-core radii c , sufficient to include any potentials likely to be proposed. The s-state well depth D s is to a good approximation determined by a , r 0 and the s-state correlation volume (wound integral) κ s NM which characterizes the core in an effectively shape-independent way. The depth D s decreases with κ s NM for given a , r 0 . A successful search was made for a “scattering” parameter κ s SC which also characterizes the core in a shape-independent way but which is determined only by (low-energy) s-wave scattering calculations; κ s SC is the (zero-energy) scattering correlation volume up to the separation distance d . The parameterization of D s in terms of a , r 0 and κ s SC is then effectively universal for local potentials, permitting one to obtain D s for any reasonable local potential by use only of s-wave scattering calculations. The p-wave depth D p is generally quite large with only a moderate dependence on c for given a and r 0 but a strong dependence on r 0 . The p-wave correlation volume is not a useful shape-independent parameter for D p . The d-wave depth is quite small although not negligible. Limited results are obtained for the dependence on density. The implications of a comparison of the calculated and the phenomenological well depths for the ΛN interaction are discussed.

nucleon lambda: interaction
interaction: nucleon lambda
lambda nucleus: binding energy
hypernucleus
numerical calculations

References(71)

Figures(0)

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