Quenching of Single-Particle Strength in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:math> Nuclei
B. P. Kay, T. L. Tang, I. Tolstukhin, G. B. Roderick, A. J. Mitchell, Y. Ayyad, Sheena Bennett, J. Chen, K. A. Chipps, H. L. Crawford, S. J. Freeman, Katie Garrett, Matthew Gott, M. R. Hall, C. R. Hoffman, H. Jayatissa, A. O. Macchiavelli, Patrick T. MacGregor, D. K. Sharp, G. L. Wilson
Abstract
Absolute cross sections for the addition of $s$- and $d$-wave neutrons to $^{14}\mathrm{C}$ and $^{14}\mathrm{N}$ have been determined simultaneously via the $(d,p)$ reaction at $10\text{ }\text{ }\mathrm{MeV}/\mathrm{u}$. The difference between the neutron and proton separation energies, $\mathrm{\ensuremath{\Delta}}S$, is around $\ensuremath{-}20\text{ }\text{ }\mathrm{MeV}$ for the $^{14}\mathrm{C}+n$ system and $+8\text{ }\text{ }\mathrm{MeV}$ for $^{14}\mathrm{N}+n$. The population of the $1{s}_{1/2}$ and $0{d}_{5/2}$ orbitals for both systems is reduced by a factor of approximately 0.5 compared with the independent single-particle model, or about 0.6 when compared with the shell model. This finding strongly contrasts with results deduced from intermediate-energy knockout reactions between similar nuclei on targets of $^{9}\mathrm{Be}$ and $^{12}\mathrm{C}$. The simultaneous technique used removes many systematic uncertainties.