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Reaction cross sections of carbon isotopes incident on proton and 12 C

Reaction cross sections of carbon isotopes incident on proton and 12 C. International Nuclear Physics Conference, Tokyo, Japan June 3-8, 2007. W. Horiuchi (Niigata) B. Abu-Ibrahim (Cairo), A. Kohama (RIKEN) Y. Suzuki (Niigata). Motivation. Reaction and interaction cross

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Reaction cross sections of carbon isotopes incident on proton and 12 C

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  1. Reaction cross sections of carbon isotopes incident on proton and 12C International Nuclear Physics Conference, Tokyo, Japan June 3-8, 2007 W. Horiuchi (Niigata) B. Abu-Ibrahim (Cairo), A. Kohama (RIKEN) Y. Suzuki (Niigata)

  2. Motivation • Reaction and interaction cross sections have been measured up to 20C on a 12C target. • Analysis of 19,20,22C+p is in progress at RIKEN (QW-005). →Prediction of reaction cross sections of carbon isotopes. ～900AMeV A. Ozawa et al., Nucl. Phys. A693, 32(2001). • Contents • Reaction model: the Glauber theory. • Densities of C isotopes. • σR on a 12C target. • σR on a proton target. • Comparison of the two targets. • Summary

  3. Reaction model: Glauber theory Reaction cross section: For a proton target Optical Limit Approximation Profile function: Input:p and n density distribution. Profile function. For a 12C target NTG: OLA + higher order correction. NTO: Eikonal Approx. with the global optical potential (N-12C).

  4. p-12C and 12C-12C p-12C reaction cross section Excellent agreement with experiment in a wide range energy. Non-adjustable parameters.

  5. How to construct the densities • Slater determinant generated from a mean field potential of Woods-Saxon form. Potential strength → determined to reproduce Sn and Sp. • To go beyond the mean field description. • A core+n model (core: A-1C) for odd nuclei. • A core+n+n three-body model for 16C and 22C. • 16C: (1s1/2)(0d5/2) mixing (W.H., Y. Suzuki, PRC73,037304(2006),QM-064) • 22C: Borromean (W.H., Y. Suzuki,PRC74, 034304(2006),QM-064)

  6. Reaction cross sections of carbon isotopeson a 12C Good agreement with experiment at high energy except for 15,17C.

  7. On a proton target 40MeV 22C: 20C+n+n 3-body cal. Reaction cross section of C+p Empirical S2n: 0.423±1.140 MeV

  8. Proton vs 12C target matter neutron proton We define the quantity σR(b) as the same definition of the reaction cross section: (upper limit of integral is limited to b) Comparing the reaction cross section at low energy (40MeV) with that at high energy (800MeV).

  9. σR(b)/σR of 22C 90% 800AMeV 12C target ⊿b: 1.6fm 40AMeV 90% p target ⊿b: 2.0fm →A proton target is more sensitive for neutron distribution than a 12C target.

  10. Summary • We have investigated reaction cross sections of carbon isotopes systematically in the Glauber model. • Even: densities constructed by a mean field model. • Odd: core+n model is used. • 22C: 20C+n+n three-body model. • On a 12C (W.H., B. Abu-Ibrahim, Y. Suzuki, A. Kohama,PRC75, 044607(2007)) • 12C+12C reaction are reproducedvery well. • Reaction cross sections of other isotopes are in reasonable agreement (except for 15,17C+12C reaction). • On a proton (in preparation) • We predict reaction cross section of 22C. 960-1000 mb at 40MeV on a proton (very large A～60) • p target is more advantageous than 12C target to probe extended neutron distribution.

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