Journal Article FZJ-2016-06215

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Density-dependent effective baryon–baryon interaction from chiral three-baryon forces

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2017
North-Holland Publ. Co. Amsterdam

Nuclear physics <Amsterdam> / A 957, 347 - 378 () [10.1016/j.nuclphysa.2016.09.010]

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Abstract: A density-dependent effective potential for the baryon–baryon interaction in the presence of the (hyper)nuclear medium is constructed, based on the leading (irreducible) three-baryon forces derived within SU(3) chiral effective field theory. We evaluate the contributions from three classes: contact terms, one-pion exchange and two-pion exchange. In the strangeness-zero sector we recover the known result for the in-medium nucleon–nucleon interaction. Explicit expressions for the ΛN in-medium potential in (asymmetric) nuclear matter are presented. Our results are suitable for implementation into calculations of (hyper)nuclear matter. In order to estimate the low-energy constants of the leading three-baryon forces we introduce the decuplet baryons as explicit degrees of freedom and construct the relevant terms in the minimal non-relativistic Lagrangian. With these, the constants are estimated through decuplet saturation. Utilizing this approximation we provide numerical results for the effect of the three-body force in symmetric nuclear matter and pure neutron matter on the ΛN interaction. A moderate repulsion that increases with density is found in comparison to the free ΛN interaction.

Classification:

Contributing Institute(s):
  1. Theorie der Starken Wechselwirkung (IAS-4)
  2. Theorie der starken Wechselwirkung (IKP-3)
Research Program(s):
  1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
  2. 531 - Condensed Matter and Molecular Building Blocks (POF3-531) (POF3-531)

Appears in the scientific report 2017
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 Record created 2016-11-15, last modified 2024-06-10


Published on 2017-01-31. Available in OpenAccess from 2019-01-31.:
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