Beth-Uhlenbeck approach for repulsive interactions between baryons in a hadron gas - INSPIRE

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Beth-Uhlenbeck approach for repulsive interactions between baryons in a hadron gas

Volodymyr Vovchenko
(
- Frankfurt U. and
- Frankfurt U., FIAS and
- Taras Shevchenko U.
)
,
Anton Motornenko
(
- Frankfurt U. and
- Frankfurt U., FIAS
)
,
Mark I. Gorenstein
(
- BITP, Kiev and
- Frankfurt U., FIAS
)
,
Horst Stoecker
(
- Darmstadt, GSI and
- Frankfurt U. and
- Frankfurt U., FIAS
)

Sep 29, 2017

9 pages

Published in:

Phys.Rev.C 97 (2018) 3, 035202

Published: Mar 6, 2018

e-Print:

1710.00693 [nucl-th]

DOI:

10.1103/PhysRevC.97.035202

View in:

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Abstract: (APS)

The quantum mechanical Beth-Uhlenbeck (BU) approach for repulsive hard-core interactions between baryons is applied to the thermodynamics of a hadron gas. The second virial coefficient a2—the “excluded volume” parameter—calculated within the BU approach is found to be temperature dependent, and it differs dramatically from the classical excluded volume (EV) model result. At temperatures T=100–200 MeV, the widely used classical EV model underestimates the EV parameter for nucleons at a given value of the nucleon hard-core radius by large factors of 3–4. Previous studies, which employed the hard-core radii of hadrons as an input into the classical EV model, have to be re-evaluated using the appropriately rescaled EV parameters. The BU approach is used to model the repulsive baryonic interactions in the hadron resonance gas (HRG) model. Lattice data for the second- and fourth-order net baryon susceptibilities are described fairly well when the temperature dependent BU baryonic excluded volume parameter corresponds to nucleon hard-core radii of rc=0.25–0.3 fm. Role of the attractive baryonic interactions is also considered. It is argued that HRG model with a constant baryon-baryon EV parameter vNN≃1fm3 provides a simple yet efficient description of baryon-baryon interaction in the crossover temperature region.

Note:

22 pages, 4 figures, accepted for publication in Phys. Rev. C

hadron: gas
baryon baryon: interaction
hadron: resonance: gas
hadron: thermodynamics
nucleon: size
temperature dependence
temperature
quantum mechanics
susceptibility
lattice

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