JAEA-Conf 2011-002 - 日本原子力研究開発機構

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momentum of the constituents of P. We assume in Eq. (1) that P has one bound state just for simplicity. The most essential assumption of CDCC is the truncation of the continuum of P, with introducing a cutoff momentum kmax. Then we discretize the continuum up to kmax into a finite number of states, i.e., discretized continuum states. There are several choices for the discretization method: the average method, the mid-point method and the pseudostate method. The first one that takes an average of the continuum states within a certain range of k has most widely been used. After the truncation and discretization, we have the CDCC wave function of the reaction system: JAEA-Conf 2011-002 Ψ CDCC = imax i=0 ˆφi ˆχi, (2) where i is the index of the ground (i = 0) and the discretized continuum (0
dB(E1)/dε [e 2 fm 2 /MeV] 0.2 0.1 0 0 5 10 15 ε [MeV] JAEA-Conf 2011-002 0.1 0 B(E1, n) [e 2 fm 2 ] Figure 1: E1 strength distribution of 6 He as a function of ɛ. The bars show B(E1; n) from the 0 + ground state to the n th pseudostates of 6 He. The solid, dashed, and dash-dotted lines respectively show the smeared E1 strength distributions assuming the Lorentzian form with the width of 0.5, 0.2, and 0.1(ɛn +0.975) MeV; ɛn denotes the eigenenergy of the n th pseudostate. dB(E1)/dε [e 2 fm 2 /MeV] 0.3 0.2 0.1 Set I Set II Set III simple (ε−dep. Γ) 0 0 1 2 3 4 5 6 ε [MeV] Figure 2: E1 strength distribution of 6 He as a function of ɛ obtained with the smoothing method in Ref. [10]. The dotted, dashed, and solid lines show the results with different modelspace of the 6 He wave function (see Ref. [10] for details). Also shown for comparison by the dot-dashed curve is the result of the simple smoothing method with a energydependent width, i.e., the dash-dotted line in Fig. 1. by histogram a typical example of the discrete result of the energy distribution of the electric dipole (E1) strength dB(E1)/dɛ for 6 He, with ɛ the breakup energy of 6 He measured from the three-body ( 4 He+n+n) threshold. To compare the result of CDCC with experimental data, we must construct a smooth spectrum from the histogram. Note that a simple smearing procedure assuming a Lorentzian form, with any choice of parameters, does not work at all, as shown by the three lines in Fig. 1. Thus, we proposed a new smoothing method [10] with the use of the Lippmann-Schwinger equation , which was found to successfully reproduce a smooth dB(E1)/dɛ, if experimental resolution is taken into account; the result is shown in Fig. 2. The alternative four-body CDCC [8] can construct a smooth spectrum of breakup observable much easier, in principle, than the original four-body CDCC, since in the former the threebody scattering states are directly calculated. At this stage, however, because of the limited modelspace, it seems difficult to compare the result shown in Ref. [8] with experimental data. Very recently, another smoothing procedure using the complex scaling method [11] has been proposed in Ref. [12] and shown to work very well to obtain smooth breakup cross sections. 3.2 Microscopic description of projectile breakup processes An essential ingredient of CDCC for systematic analysis of breakup reactions is optical potentials between A and individual constituents of P, which are not always available phenomenologically. Thus, we need a microscopic framework to obtain optical potentials for various reaction system in a wide range of incident energies. For nucleon-nucleus potential, the method proposed by Brieva and Rook [13] has widely been used to obtain a microscopic local potential. Recently, it has been shown in Ref. [14] that the Brieva-Rook (BR) localization is valid for wide range of incident energies, by directly comparing the result of BR calculation with the solution of the exact nonlocal Schrödinger equation. In Fig. 3 we show the elastic differential cross sections of the proton scattering on 90 Zr at (a) 65 MeV and (b) 800 MeV. The solid and dashed lines respectively show the results of the exact
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JAEA-Conf 2011-002 Proceedings of t
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JAEA-Conf 2011-002 31. Preliminary
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6.2 Measurement of neutron-induced
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JAEA-Conf 2011-002 Table 1 Comparis
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JAEA-Conf 2011-002 (T1/2=8,900,000
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JAEA-Conf 2011-002 Though words too
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JENDL-3.3 showed better applicabili
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ENDF. Thus this cross section store
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Acknowledgement JAEA-Conf 2011-002
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In the MALIBU program, isotope conc
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some minor actinides. For major act
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JAEA-Conf 2011-002 code MVP-BURN an
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JAEA-Conf 2011-002 [3] Measurements
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3.1 Experimental Set up JAEA-Conf 2
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References JAEA-Conf 2011-002 [1] N
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JAEA-Conf 2011-002 was large. The a
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JAEA-Conf 2011-002 4. Results and D
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Acknowledgments Present study inclu
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Fig. 1 A conceptural picture of the
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4. Theoretical studies Theoretical
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4. Off line data analysis Double di
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eports of data of carbon-ion incide
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Count [-] 4 10 3 10 2 10 10 1 Charg
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Acknowledgement We are grateful to
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Beam Line BM1 Copper Target BM2 5×
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φ = φbm · ρtof · ρmulti (2) E
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References [1] K. Ishibashi, H. Tak
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JAEA-Conf 2011-002 hint at the orig
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Neutron Dose Rate [Sv/hr/src neutro
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JAEA-Conf 2011-002 radiation protec
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Ztarget, Atarget are the numbers fo
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We described our formalism for calc
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2. Model
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JAEA-Conf 2011-002 reactions. Figur
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JAEA-Conf 2011-002 Fig. 3. The angu
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analysis of integral experiments [6
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A modified SRAC library was prepare
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JAEA-Conf 2011-002 approximately 0.
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JAEA-Conf 2011-002 constructing the
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Fig.9 Spectrum of gamma-ray followi
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JAEA-Conf 2011-002 in the same way
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JAEA-Conf 2011-002 [7]. For example
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JAEA-Conf 2011-002 For
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JAEA-Conf 2011-002 (5.0-9.0MeV), a
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components, the 0.56Wt% for hydroge
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Sensitivities of curium isotope con
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decreases of (n,g) reaction rates,
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5. Conclusion JAEA-Conf 2011-002 Wi
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2. Foundation of sensitivity analys
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JAEA-Conf 2011-002 where f g and f
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Fig.1 Sensitivity coefficient of th
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An outline of core configurations o
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0.010% 0.000% -0.010% -0.020% -0.03
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To clarify what nuclides and reacti
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Calculation was performed by the MV
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among these libraries, and the diff
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JAEA-Conf 2011-002 - 日本原子力研究開発機構

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