A linear programming approach to inhomogeneous primordial nucleosynthesis

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · Astrophysical Journal

DOI:https://doi.org/10.1086/177258· OSTI ID:286530

Leonard, R E; Scherrer, R J ^[1]

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1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)

We examine inhomogeneous primordial nucleosynthesis for {ital arbitrary} distributions {ital f} of the baryon- to-photon ratio {eta}, in the limit where neither particle diffusion nor gravitational collapse is important. By discretizing {ital f}({eta}) and using linear programming, we show that for a set of {ital m} constraints on the primordial element abundances, the maximum and minimum possible values of {bar {eta}} (the final mean value of {eta}) are given when {ital f}({eta}) is a sum of at most {ital m}+1 delta functions. Our linear programming results indicate that when {ital f} is taken to be an arbitrary function, there is no lower bound on {bar {eta}}, while the upper bound is essentially the homogeneous upper bound. {copyright} {ital 1996 The American Astronomical Society.}

• Research Organization: Ohio State University Research Foundation
• DOE Contract Number: AC02-76ER01545
• OSTI ID: 286530
• Journal Information: Astrophysical Journal, Journal Name: Astrophysical Journal Journal Issue: 2 Vol. 463; ISSN ASJOAB; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BARYONS
COSMOLOGICAL MODELS
COSMOLOGY
DENSITY
DIFFUSION
INHOMOGENEITY
MONTE CARLO METHOD
NUCLEOSYNTHESIS