Sensitivity of stellar electron-capture rates to parent neutron number: A case study on a continuous chain of twenty Vanadium isotopes

POSTER

Abstract

Gamow-Teller (GT) strength distributions (B(GT)) in electron-capture (EC) daughters stemming from the parent ground state are computed with the shell-model in the full pf-shell space, with QRPA in the formalism of Krumlinde and M$\backslash $"oller and with an Approximate Method for assigning an effective B(GT). These are compared to data available from decay and charge-exchange (CE) experiments across titanium isotopes in the pf-shell from A$=$43 to A$=$62, the largest set available for any chain of isotopes in the pf-shell. The present study is the first to examine B(GT) and the associated EC rates across a particular chain of isotopes with the purpose of examining rate sensitivities as neutron number increases. EC rates are also computed for a wide variety of stellar electron densities and temperatures providing concise estimates of the relative size of rate sensitivities for particular astrophysical scenarios. This work underscores the need for CE experiments in inverse kinematics on neutron-rich nuclei at future RIB Facilities.

Authors

  • G.W. Hitt

    Department of Physics & Engineering Science, Coastal Carolina University, P.O. Box 261954 Conway, SC 29528, USA

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida