Asymptotic Normalization of the Triton <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi></math></span> State

Y. E. Kim; Muslim

doi:10.1103/PhysRevLett.42.1328

Asymptotic Normalization of the Triton $D$ State

Y. E. Kim and Muslim

Phys. Rev. Lett. 42, 1328 – Published 14 May 1979; Erratum Phys. Rev. Lett. 43, 1058 (1979)

Abstract

The ratio $R_{2} ({}^{3}H)$ of the $D$ - and $S$ -state asymptotic normalizations of the neutron-deuteron tail of the triton wave function is calculated from a solution of the Faddeev equations with the Reid soft-core potential. We find $R_{2} ({}^{3}H) = - 0.24$ ${fm}^{2}$ . Both the phase and magnitude of the calculated ratio are in agreement with the experimental value determined from the recent measurements of tensor analyzing powers for ( $d$ , $t$ ) reactions. An estimate of $R_{2}$ for ${}^{3}{He}$ with a Coulomb correction gives $R_{2} ({}^{3}{He}) \approx - 0.24$ ${fm}^{2}$ .