Including higher energy data in the R-matrix extrapolation of $^{12}$C$(\alpha,\gamma)^{16}$O

ORAL

Abstract

The phenomenological $R$-matrix technique has proved to be very successful in describing the cross sections of interest to nuclear astrophysics. One of the key reactions is $^{12}$C$(\alpha,\gamma)^{16}$O, which has frequently been analyzed using $R$-matrix but usually over a limited energy range. This talk will present an analysis that, for the first time, extends above the proton and $\alpha_1$ separation energies taking advantage of a large amount of additional data. The analysis uses the new publicly released JINA $R$-matrix code AZURE2. The traditional reaction channels of $^{12}$C$(\alpha,\gamma)^{16}$O, $^{12}$C$(\alpha,\alpha_0)^{12}$, and $^{16}$N$(\beta\alpha)^{12}$C are included but are now accompanied by the higher energy reactions. By explicitly including higher energy levels, the uncertainty in the extrapolation of the cross section is significantly reduced. This is accomplished by more stringent constraints on interference combination and background poles by the additional higher energy data and by considering new information about subthresold states from transfer reactions. The result is the most comprehensive $R$-matrix analysis of the $^{12}$C$(\alpha,\gamma)^{16}$O reaction to date.

Authors

  • Richard deBoer

    JINA and UND, University of Notre Dame

  • Matt Bowers

    University of Notre Dame, University of Bari, Gran Sasso Science Institute, JINA and UND, UTK, LLNL, OU, INFN, TAMU, Universidad Complutense, Madrid, Lawrence Livermore National Laboratory, Division of Nuclear Physics, National Centre for Nuclear Research, Warsaw, Notre Dame University, University of Michigan, Michigan State University, Univ of Notre Dame, Weizmann Institute, Univ of Birmingham, Univ of Michigan, Oak Ridge National Laboratory, Argonne National Laboratory, The Hebrew University Jerusalem, Indiana University Purdue University Fort Wayne, Professor, University of Notre Dame, Assistant Professor, University of Notre Dame, PhD student, Associate Professor, University of Notre Dame, University of Richmond, University of Surrey, University of Richmond, University of Oslo, University of Wisconsin-La Crosse, University of Notre Dame, Department of Civil Engineering, University of Notre Dame, Department of Applied Computational Mathematics and Statistics, IUPUI Department of Physics, Indianapolis, IN, Ohio Northern University, Northern Kentucky University, Physics Department, Unversity of Missouri, Physics Department, REU Summer Intern, Sichuan University, Purdue University, Princeton University, Monmouth College, ETH, Switzerland, EPFL, Switzerland, Institut Laue-Langevin, France, Kent State University, University of Tennessee, Indiana University South Bend, University Of Notre Dame

  • Matt Bowers

    University of Notre Dame, University of Bari, Gran Sasso Science Institute, JINA and UND, UTK, LLNL, OU, INFN, TAMU, Universidad Complutense, Madrid, Lawrence Livermore National Laboratory, Division of Nuclear Physics, National Centre for Nuclear Research, Warsaw, Notre Dame University, University of Michigan, Michigan State University, Univ of Notre Dame, Weizmann Institute, Univ of Birmingham, Univ of Michigan, Oak Ridge National Laboratory, Argonne National Laboratory, The Hebrew University Jerusalem, Indiana University Purdue University Fort Wayne, Professor, University of Notre Dame, Assistant Professor, University of Notre Dame, PhD student, Associate Professor, University of Notre Dame, University of Richmond, University of Surrey, University of Richmond, University of Oslo, University of Wisconsin-La Crosse, University of Notre Dame, Department of Civil Engineering, University of Notre Dame, Department of Applied Computational Mathematics and Statistics, IUPUI Department of Physics, Indianapolis, IN, Ohio Northern University, Northern Kentucky University, Physics Department, Unversity of Missouri, Physics Department, REU Summer Intern, Sichuan University, Purdue University, Princeton University, Monmouth College, ETH, Switzerland, EPFL, Switzerland, Institut Laue-Langevin, France, Kent State University, University of Tennessee, Indiana University South Bend, University Of Notre Dame

  • Matt Bowers

    University of Notre Dame, University of Bari, Gran Sasso Science Institute, JINA and UND, UTK, LLNL, OU, INFN, TAMU, Universidad Complutense, Madrid, Lawrence Livermore National Laboratory, Division of Nuclear Physics, National Centre for Nuclear Research, Warsaw, Notre Dame University, University of Michigan, Michigan State University, Univ of Notre Dame, Weizmann Institute, Univ of Birmingham, Univ of Michigan, Oak Ridge National Laboratory, Argonne National Laboratory, The Hebrew University Jerusalem, Indiana University Purdue University Fort Wayne, Professor, University of Notre Dame, Assistant Professor, University of Notre Dame, PhD student, Associate Professor, University of Notre Dame, University of Richmond, University of Surrey, University of Richmond, University of Oslo, University of Wisconsin-La Crosse, University of Notre Dame, Department of Civil Engineering, University of Notre Dame, Department of Applied Computational Mathematics and Statistics, IUPUI Department of Physics, Indianapolis, IN, Ohio Northern University, Northern Kentucky University, Physics Department, Unversity of Missouri, Physics Department, REU Summer Intern, Sichuan University, Purdue University, Princeton University, Monmouth College, ETH, Switzerland, EPFL, Switzerland, Institut Laue-Langevin, France, Kent State University, University of Tennessee, Indiana University South Bend, University Of Notre Dame

  • Matt Bowers

    University of Notre Dame, University of Bari, Gran Sasso Science Institute, JINA and UND, UTK, LLNL, OU, INFN, TAMU, Universidad Complutense, Madrid, Lawrence Livermore National Laboratory, Division of Nuclear Physics, National Centre for Nuclear Research, Warsaw, Notre Dame University, University of Michigan, Michigan State University, Univ of Notre Dame, Weizmann Institute, Univ of Birmingham, Univ of Michigan, Oak Ridge National Laboratory, Argonne National Laboratory, The Hebrew University Jerusalem, Indiana University Purdue University Fort Wayne, Professor, University of Notre Dame, Assistant Professor, University of Notre Dame, PhD student, Associate Professor, University of Notre Dame, University of Richmond, University of Surrey, University of Richmond, University of Oslo, University of Wisconsin-La Crosse, University of Notre Dame, Department of Civil Engineering, University of Notre Dame, Department of Applied Computational Mathematics and Statistics, IUPUI Department of Physics, Indianapolis, IN, Ohio Northern University, Northern Kentucky University, Physics Department, Unversity of Missouri, Physics Department, REU Summer Intern, Sichuan University, Purdue University, Princeton University, Monmouth College, ETH, Switzerland, EPFL, Switzerland, Institut Laue-Langevin, France, Kent State University, University of Tennessee, Indiana University South Bend, University Of Notre Dame

  • Matt Bowers

    University of Notre Dame, University of Bari, Gran Sasso Science Institute, JINA and UND, UTK, LLNL, OU, INFN, TAMU, Universidad Complutense, Madrid, Lawrence Livermore National Laboratory, Division of Nuclear Physics, National Centre for Nuclear Research, Warsaw, Notre Dame University, University of Michigan, Michigan State University, Univ of Notre Dame, Weizmann Institute, Univ of Birmingham, Univ of Michigan, Oak Ridge National Laboratory, Argonne National Laboratory, The Hebrew University Jerusalem, Indiana University Purdue University Fort Wayne, Professor, University of Notre Dame, Assistant Professor, University of Notre Dame, PhD student, Associate Professor, University of Notre Dame, University of Richmond, University of Surrey, University of Richmond, University of Oslo, University of Wisconsin-La Crosse, University of Notre Dame, Department of Civil Engineering, University of Notre Dame, Department of Applied Computational Mathematics and Statistics, IUPUI Department of Physics, Indianapolis, IN, Ohio Northern University, Northern Kentucky University, Physics Department, Unversity of Missouri, Physics Department, REU Summer Intern, Sichuan University, Purdue University, Princeton University, Monmouth College, ETH, Switzerland, EPFL, Switzerland, Institut Laue-Langevin, France, Kent State University, University of Tennessee, Indiana University South Bend, University Of Notre Dame

  • Matt Bowers

    University of Notre Dame, University of Bari, Gran Sasso Science Institute, JINA and UND, UTK, LLNL, OU, INFN, TAMU, Universidad Complutense, Madrid, Lawrence Livermore National Laboratory, Division of Nuclear Physics, National Centre for Nuclear Research, Warsaw, Notre Dame University, University of Michigan, Michigan State University, Univ of Notre Dame, Weizmann Institute, Univ of Birmingham, Univ of Michigan, Oak Ridge National Laboratory, Argonne National Laboratory, The Hebrew University Jerusalem, Indiana University Purdue University Fort Wayne, Professor, University of Notre Dame, Assistant Professor, University of Notre Dame, PhD student, Associate Professor, University of Notre Dame, University of Richmond, University of Surrey, University of Richmond, University of Oslo, University of Wisconsin-La Crosse, University of Notre Dame, Department of Civil Engineering, University of Notre Dame, Department of Applied Computational Mathematics and Statistics, IUPUI Department of Physics, Indianapolis, IN, Ohio Northern University, Northern Kentucky University, Physics Department, Unversity of Missouri, Physics Department, REU Summer Intern, Sichuan University, Purdue University, Princeton University, Monmouth College, ETH, Switzerland, EPFL, Switzerland, Institut Laue-Langevin, France, Kent State University, University of Tennessee, Indiana University South Bend, University Of Notre Dame

  • Matt Bowers

    University of Notre Dame, University of Bari, Gran Sasso Science Institute, JINA and UND, UTK, LLNL, OU, INFN, TAMU, Universidad Complutense, Madrid, Lawrence Livermore National Laboratory, Division of Nuclear Physics, National Centre for Nuclear Research, Warsaw, Notre Dame University, University of Michigan, Michigan State University, Univ of Notre Dame, Weizmann Institute, Univ of Birmingham, Univ of Michigan, Oak Ridge National Laboratory, Argonne National Laboratory, The Hebrew University Jerusalem, Indiana University Purdue University Fort Wayne, Professor, University of Notre Dame, Assistant Professor, University of Notre Dame, PhD student, Associate Professor, University of Notre Dame, University of Richmond, University of Surrey, University of Richmond, University of Oslo, University of Wisconsin-La Crosse, University of Notre Dame, Department of Civil Engineering, University of Notre Dame, Department of Applied Computational Mathematics and Statistics, IUPUI Department of Physics, Indianapolis, IN, Ohio Northern University, Northern Kentucky University, Physics Department, Unversity of Missouri, Physics Department, REU Summer Intern, Sichuan University, Purdue University, Princeton University, Monmouth College, ETH, Switzerland, EPFL, Switzerland, Institut Laue-Langevin, France, Kent State University, University of Tennessee, Indiana University South Bend, University Of Notre Dame

  • Matt Bowers

    University of Notre Dame, University of Bari, Gran Sasso Science Institute, JINA and UND, UTK, LLNL, OU, INFN, TAMU, Universidad Complutense, Madrid, Lawrence Livermore National Laboratory, Division of Nuclear Physics, National Centre for Nuclear Research, Warsaw, Notre Dame University, University of Michigan, Michigan State University, Univ of Notre Dame, Weizmann Institute, Univ of Birmingham, Univ of Michigan, Oak Ridge National Laboratory, Argonne National Laboratory, The Hebrew University Jerusalem, Indiana University Purdue University Fort Wayne, Professor, University of Notre Dame, Assistant Professor, University of Notre Dame, PhD student, Associate Professor, University of Notre Dame, University of Richmond, University of Surrey, University of Richmond, University of Oslo, University of Wisconsin-La Crosse, University of Notre Dame, Department of Civil Engineering, University of Notre Dame, Department of Applied Computational Mathematics and Statistics, IUPUI Department of Physics, Indianapolis, IN, Ohio Northern University, Northern Kentucky University, Physics Department, Unversity of Missouri, Physics Department, REU Summer Intern, Sichuan University, Purdue University, Princeton University, Monmouth College, ETH, Switzerland, EPFL, Switzerland, Institut Laue-Langevin, France, Kent State University, University of Tennessee, Indiana University South Bend, University Of Notre Dame