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Phenomenological systematics of the (d,p) cross sections A.V.Ignatyuk Institute of Physics and Power Engineering, Obninsk, Russia DWBA description of the.

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Presentation on theme: "Phenomenological systematics of the (d,p) cross sections A.V.Ignatyuk Institute of Physics and Power Engineering, Obninsk, Russia DWBA description of the."— Presentation transcript:

1 Phenomenological systematics of the (d,p) cross sections A.V.Ignatyuk Institute of Physics and Power Engineering, Obninsk, Russia DWBA description of the double deferential cross sections; DWBA calculations of the integral (d,p) cross sections; Empirical approximation of the (d,p) cross sections with the ALICE-D and EMPIRE-D codes; Phenomenological systematics of the (d,p) cross sections; Phenomenological systematics of the (d,p) cross sections; Structure effects for the enhancement coefficients; Conclusions. 3d CRP Meeting on FENDL-3, Vienna, 6-9 December 2011

2 48 Ca(d,p): experimental data and the corresponding DWBA description W.D.Metz, W.D.Calender, C.R.Bockelman. Phys. Rev., C12 (1975) 827

3 48 Ca(d,p): experimental data and the DWBA descriptions for 9 th and 10 th levels W.D.Metz, W.D.Calender, C.R.Bockelman. Phys. Rev., C12 (1975) 827

4 DWBA description of the integral (d,p) cross sections for 48 Ca and 50 Cr

5 Description of the (d,p) and (d,t) cross sections with the ALICE-D code The simple Kalbach formula was used: where C=3800, V a is the potential well depth, g N is the single-particle level density for neutrons and K is the adjusted parameters. This parameter should be energy dependent to describe the available experimental data !

6 Experimental data for the 197 Au(d,p) 198g Au cross section in comparison with various calculations

7 Description of the (d,p) cross sections with the ALICE-D code

8 Phenomenological systematics The analytical function for the description of experimental data was accepted in the following form: where the factor before the square brackets defines the low-energy increasing part of the (d,p) cross section and the terms in the square brackets characterize the decreasing part. The parameter b determines the effective threshold of the (d,p) reaction and it should be close to the height of the Coulomb barrier The mean value of the radius parameter estimated from the experimental data analysis is r eff =1.985±0.045 fm. b.

9 Experimental data for the 59 Co(d,p) reaction compared with various calculations

10 Experimental data for the 197 Au(d,p) reaction compared with various calculations

11 Parameter values estimated from the analysis of experimental data Parameter 59 Co(d,p) 197 Au(d,p) a1a1 751±87 mb904±121 mb b 5.13±0.22 MeV9.86±0.11 MeV c 0.75 MeV was fixed 0.716±.035 MeV a2a ± ±.015 d1d1 7.21±0.61 MeV 7.05±0.84 MeV d2d ±2.76 MeV35.0 MeV was fixed

12 Experimental data for the 141 Pr(d,p) reaction compared with various calculations

13 Experimental data for the 181 Ta(d,p) reaction compared with various calculations

14 Optimal parameter estimated from the analysis of the available experimental data. Other parameters: c=.75 MeV, a 2 =0.848, d 1 =7.1, d 2 =35 MeV

15 Conclusions: For the deuteron induced reactions the TENDL-2010 evaluations essentially underestimate the (d,p) reaction cross sections for the most of nuclei. There are also unphysical jumps of the cross sections at low energies. So, the corresponding sections of the TENDL-2010 files should certainly be corrected in the process of the FENDL-3D library formation. The phenomenological systematics of the (d,p) cross sections, proposed in the present report, can be recommended as an optimal evaluation of such data for all nuclei and the whole energy region.

16 Empirical estimation of the (d,t) dir cross sections for 169 Tm

17 Analysis of the 169 Tm(d,x) cross sections


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