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Title: Expectations for {sup 12}C and {sup 16}O induced fusion cross sections at energies of astrophysical interest

Abstract

The extrapolations of cross sections for fusion reactions involving {sup 12}C and {sup 16}O nuclei down to energies relevant for explosive stellar burning have been reexamined. Based on a systematic study of fusion in heavier systems, it is expected that a suppression of the fusion process will also be present in these light heavy-ion systems at extreme sub-barrier energies due to the saturation properties of nuclear matter. Previous phenomenological extrapolations of the S factor for light heavy-ion fusion based on optical model calculations may therefore have overestimated the corresponding reaction rates. A new ''recipe'' is proposed to extrapolate S factors for light heavy-ion reactions to low energies taking the hindrance behavior into account. It is based on a fit to the logarithmic derivative of the experimental cross section which is much less sensitive to overall normalization discrepancies between different data sets than other approaches. This method, therefore, represents a significant improvement over other extrapolations. The impact on the astrophysical reaction rates is discussed.

Authors:
; ; ;  [1]
  1. Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
Publication Date:
OSTI Identifier:
20990980
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.75.015803; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CARBON 12; CROSS SECTIONS; EXPLOSIVES; EXTRAPOLATION; HEAVY ION REACTIONS; HEAVY IONS; NUCLEAR MATTER; OPTICAL MODELS; OXYGEN 16; REACTION KINETICS; STAR BURNING; VISIBLE RADIATION

Citation Formats

Jiang, C. L., Rehm, K. E., Back, B. B., and Janssens, R. V. F. Expectations for {sup 12}C and {sup 16}O induced fusion cross sections at energies of astrophysical interest. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.015803.
Jiang, C. L., Rehm, K. E., Back, B. B., & Janssens, R. V. F. Expectations for {sup 12}C and {sup 16}O induced fusion cross sections at energies of astrophysical interest. United States. doi:10.1103/PHYSREVC.75.015803.
Jiang, C. L., Rehm, K. E., Back, B. B., and Janssens, R. V. F. Mon . "Expectations for {sup 12}C and {sup 16}O induced fusion cross sections at energies of astrophysical interest". United States. doi:10.1103/PHYSREVC.75.015803.
@article{osti_20990980,
title = {Expectations for {sup 12}C and {sup 16}O induced fusion cross sections at energies of astrophysical interest},
author = {Jiang, C. L. and Rehm, K. E. and Back, B. B. and Janssens, R. V. F.},
abstractNote = {The extrapolations of cross sections for fusion reactions involving {sup 12}C and {sup 16}O nuclei down to energies relevant for explosive stellar burning have been reexamined. Based on a systematic study of fusion in heavier systems, it is expected that a suppression of the fusion process will also be present in these light heavy-ion systems at extreme sub-barrier energies due to the saturation properties of nuclear matter. Previous phenomenological extrapolations of the S factor for light heavy-ion fusion based on optical model calculations may therefore have overestimated the corresponding reaction rates. A new ''recipe'' is proposed to extrapolate S factors for light heavy-ion reactions to low energies taking the hindrance behavior into account. It is based on a fit to the logarithmic derivative of the experimental cross section which is much less sensitive to overall normalization discrepancies between different data sets than other approaches. This method, therefore, represents a significant improvement over other extrapolations. The impact on the astrophysical reaction rates is discussed.},
doi = {10.1103/PHYSREVC.75.015803},
journal = {Physical Review. C, Nuclear Physics},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}