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Fragmentation cross sections and binding energies of neutron-rich nuclei

M. B. TsangNational Superconducting Cyclotron Laboratory and Department of Physics & Astronomy, Michigan State University, East Lansing, Michigan 48824, USAW. G. LynchNational Superconducting Cyclotron Laboratory and Department of Physics & Astronomy, Michigan State University, East Lansing, Michigan 48824, USAWilliam A. FriedmanDepartment of Physics, University of Wisconsin, Madison, Wisconsin 53706, USAM. MockoNational Superconducting Cyclotron Laboratory and Department of Physics & Astronomy, Michigan State University, East Lansing, Michigan 48824, USAZ. SunInstitute of Modern Physics, CAS, Lanzhou 730000, People's Republic of ChinaN. AoiRIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, JapanJ. M. CookNational Superconducting Cyclotron Laboratory and Department of Physics & Astronomy, Michigan State University, East Lansing, Michigan 48824, USAF. DelaunayNational Superconducting Cyclotron Laboratory and Department of Physics & Astronomy, Michigan State University, East Lansing, Michigan 48824, USAM. FamianoMichigan State UniversityH. HuiNational Superconducting Cyclotron Laboratory and Department of Physics & Astronomy, Michigan State University, East Lansing, Michigan 48824, USAN. ImaiRIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, JapanHiroyuki IwasakiDepartment of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, JapanT. MotobayashiRIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, JapanM. NııkuraCenter for Nuclear Study, University of Tokyo (CNS), RIKEN Campus, 2-1, Hirosawa, Wako, Saitama 351-0198, JapanT. K. OnishiDepartment of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, JapanA. M. RogersNational Superconducting Cyclotron Laboratory and Department of Physics & Astronomy, Michigan State University, East Lansing, Michigan 48824, USAH. SakuraïDepartment of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, JapanHiroaki SuzukiDepartment of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, JapanE. TakeshitaRikkyo University, 3 Nishi-Ikebukuro, Toshima, Tokyo 171, JapanSatoshi TakeuchiRIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, JapanMark S. WallaceNational Superconducting Cyclotron Laboratory and Department of Physics & Astronomy, Michigan State University, East Lansing, Michigan 48824, USA

2007en

ABI

Annotatsiya

An exponential dependence of the fragmentation cross section on the average binding energy is observed and reproduced with a statistical model. The observed functional dependence is robust and allows the extraction of binding energies from measured cross sections. From the systematics of Cu isotope cross sections, the binding energies of $^{76,77,78,79}\mathrm{Cu}$ have been extracted. They are $636.94\ifmmode\pm\else\textpm\fi{}0.4,647.1\ifmmode\pm\else\textpm\fi{}0.4,651.6\ifmmode\pm\else\textpm\fi{}0.4$, and $657.8\ifmmode\pm\else\textpm\fi{}0.5$ MeV, respectively. Specifically, the uncertainty of the binding energy of $^{75}\mathrm{Cu}$ is reduced from 980 keV, as listed in the 2003 mass table of Audi, Wapstra, and Thibault to 400 keV. The predicted cross sections of two near drip-line nuclei, $^{39}\mathrm{Na}$ and $^{40}\mathrm{Mg}$ from the fragmentation of $^{48}\mathrm{Ca}$ are discussed.

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DOI: 10.1103/physrevc.76.041302

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