Quenching of Single-Particle Strength in A=15 Nuclei

Abstract

Absolute cross sections for the addition of $s$- and $d$-wave neutrons to ${}^{14}$C and ${}^{14}$N have been determined simultaneously via the ($d$,$p$) reaction at 10 MeV/u. The difference between the neutron and proton separation energies, $\Delta S$, is around $-20$ MeV for the ${}^{14}$C$+$$n$ system and $+8$ MeV for ${}^{14}$N$+$$n$. The population of the $1s_{1/2}$ and $0d_{5/2}$ orbitals for both systems is reduced by a factor of approximately 0.5 compared to the independent single-particle model, or about 0.6 when compared to the shell model. This finding strongly contrasts with results deduced from intermediate-energy knockout reactions between similar nuclei on targets of ${}^9$Be and ${}^{12}$C. The simultaneous technique used removes many systematic uncertainties.

6 pages, 4 figures

References in corpus (5)

• Systematics of intermediate-energy single-nucleon removal cross sections
• Quenching of single-particle strength from direct reactions with stable and rare-isotope beams
• Updated systematics of intermediate-energy single-nucleon removal cross sections
• Sensitivity of quasi-free reactions on details of the bound-state overlap functions
• Comparison of semiclassical transfer to continuum model with Ichimura-Austern-Vincent model in medium energy knockout reactions

Cited by in corpus (7)

• Nuclear structure and direct reaction studies in particle-$\gamma$ coincidence experiments at the FSU John D. Fox Superconducting Linear Accelerator Laboratory
• Spectroscopic factor calculations in the \textit{ab initio} no-core shell model
• Quenching of single-particle strength inferred from nucleon-removal transfer reactions on ${}^{15}$C
• Systematic study of the propagation of uncertainties to transfer observables
• Quenching of the proton $\pi 0p_{3/2}$-$\pi 0p_{1/2}$ spin-orbit splitting in ${}^{20}$O and the effect of the tensor force
• Experimental study of ${}^{53}$Cr via the $(d,p\gamma )$ reaction
• A detailed view at magnetic dipole strengths: The case of semi-magic ${}^{50}$Ti