Effective electromagnetic operators in the p-shell using the No-Core Shell Model formalism

ORAL

Abstract

Much effort has been devoted to creating Standard Shell Model (SSM) effective interactions from ab initio techniques such as the No-Core Shell Model (NCSM). Such a procedure drastically reduces the computational effort necessary to find the low-lying states of a light nucleus ($A\leq14$) and in most cases the results agree quite well with experiments. One can also create a similar SSM effective operator for an electromagnetic operator, like E2 and M1. The properties of such operators, for example in terms of renormalization of proton and neutron charges as a function of model space size are not clearly understood. We present a procedure for creating E2 and M1 operators in the p- shell, using $^5$Li, $^5$He and $^6$Li, and show how these operators depend on one- and two-body contributions. This is particularly interesting for long-range operators such as E2.

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Authors

  • Michael Kruse

    University of Arizona

  • Alexander Lisetskiy

    University of Arizona

  • Shufang Su

    Iowa State University, Los Alamos National Laboratory, Lawrence Livermore National Laboratory, University of Arizona, Sandia National Laboratories, Physics Department, Texas Tech University, Lubbock, TX 79409-1051, Northwestern University, Texas Tech University, University of Utah Department of Physics, University of Toulouse-UPS, IRSAMC, Toulouse, France, University of Arizona, Department of Physics, National Institute of Advanced Industrial Science and Technology, Texas A\&M University, Midwest Proton Radiotherapy Institute, Birdville ISD, Universidad de Colima, Universidad de Buenos Aires, Brigham Young University, UT Atlington, MV Systems, Colorado State University, St. Petersburg Electrotechnical University, New Mexico State University, Texas State Univ., CAMD/LSU, Texas Christian University, Fort Worth, TX, North Side High School, Fort Worth, TX, Nitronex Corporation, Arizona State University, Angelo State University Department of Physics, Texas Tech University Deptarment of Electrical Engineering

  • Shufang Su

    Iowa State University, Los Alamos National Laboratory, Lawrence Livermore National Laboratory, University of Arizona, Sandia National Laboratories, Physics Department, Texas Tech University, Lubbock, TX 79409-1051, Northwestern University, Texas Tech University, University of Utah Department of Physics, University of Toulouse-UPS, IRSAMC, Toulouse, France, University of Arizona, Department of Physics, National Institute of Advanced Industrial Science and Technology, Texas A\&M University, Midwest Proton Radiotherapy Institute, Birdville ISD, Universidad de Colima, Universidad de Buenos Aires, Brigham Young University, UT Atlington, MV Systems, Colorado State University, St. Petersburg Electrotechnical University, New Mexico State University, Texas State Univ., CAMD/LSU, Texas Christian University, Fort Worth, TX, North Side High School, Fort Worth, TX, Nitronex Corporation, Arizona State University, Angelo State University Department of Physics, Texas Tech University Deptarment of Electrical Engineering

  • Shufang Su

    Iowa State University, Los Alamos National Laboratory, Lawrence Livermore National Laboratory, University of Arizona, Sandia National Laboratories, Physics Department, Texas Tech University, Lubbock, TX 79409-1051, Northwestern University, Texas Tech University, University of Utah Department of Physics, University of Toulouse-UPS, IRSAMC, Toulouse, France, University of Arizona, Department of Physics, National Institute of Advanced Industrial Science and Technology, Texas A\&M University, Midwest Proton Radiotherapy Institute, Birdville ISD, Universidad de Colima, Universidad de Buenos Aires, Brigham Young University, UT Atlington, MV Systems, Colorado State University, St. Petersburg Electrotechnical University, New Mexico State University, Texas State Univ., CAMD/LSU, Texas Christian University, Fort Worth, TX, North Side High School, Fort Worth, TX, Nitronex Corporation, Arizona State University, Angelo State University Department of Physics, Texas Tech University Deptarment of Electrical Engineering

  • Shufang Su

    Iowa State University, Los Alamos National Laboratory, Lawrence Livermore National Laboratory, University of Arizona, Sandia National Laboratories, Physics Department, Texas Tech University, Lubbock, TX 79409-1051, Northwestern University, Texas Tech University, University of Utah Department of Physics, University of Toulouse-UPS, IRSAMC, Toulouse, France, University of Arizona, Department of Physics, National Institute of Advanced Industrial Science and Technology, Texas A\&M University, Midwest Proton Radiotherapy Institute, Birdville ISD, Universidad de Colima, Universidad de Buenos Aires, Brigham Young University, UT Atlington, MV Systems, Colorado State University, St. Petersburg Electrotechnical University, New Mexico State University, Texas State Univ., CAMD/LSU, Texas Christian University, Fort Worth, TX, North Side High School, Fort Worth, TX, Nitronex Corporation, Arizona State University, Angelo State University Department of Physics, Texas Tech University Deptarment of Electrical Engineering