Study of Gamow-Teller transitions with J=0 and J$_{max}$ pairing

POSTER

Abstract

Allowed Gamow-Teller transitions are sensitive to the interactions which are used. In this single j shell study, we consider the 2 extremes J=0 pairing and J$_{max}$ pairing as well as ``half.'' Also, for comparison, a realistic interaction, MBZE. For $^{43}$Sc decay J=0 pairing yields a maximum B(GT) for I=7/2 to 7/2 but is zero for 7/2 to 9/2 and 7/2 to 5/2. This is tied to a selection rule that one cannot simultaneously change reduced isospin and seniority. For $^{46}$Ti I=1 to I=0 there is not monotonic behavior as one goes from J$_{max}$ to J=0 pairing, explained by the fact that that there is an isospin crossover of J=1 T=2 as one goes to the J=0 pairing limit. Comparison with experiment is made.

Authors

  • Ricardo Garcia

    University of Puerto Rico, Rio Piedras

  • Larry Zamick

    Rutgers Univ