Relationship between Gamow-Teller Transition Probabilities and (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi> </mml:mi><mml:mi>n</mml:mi></mml:math>) Cross Sections at Small Momentum Transfers

Abstract

Gamow-Teller transition probabilities are extracted for eight nuclei with masses between $A=13 \mathrm{and} 39$ from medium-energy ($p, n$) reactions via the distorted-wave impulse approximation, and compared with experimental $\ensuremath{\beta}$-decay and with free-nucleon transition probabilities. These comparisons indicate strongly that the renormalization of the Gamow-Teller operator needed for ($p, n$) reactions on finite nuclei is different from that needed for $\ensuremath{\beta}$ decay.