arXiv:1306.6210v1 [nucl-th] 26 Jun 2013 etoso ecin n ) (n, p), (n, reactions of sections the by calculations codes. data and different evaluated systematics different and within data both experimental large disagreements existing are a of there between characteristics of nuclei, observed with Despite interactions on neutron of [4] 3]. information modernization [2, of and plants amount de- power protection are the nuclear reactor section as existing fusion such cross of specifically, reaction applications, sign nuclear in mech- on needed reaction Data also nuclear and [1]. nuclei ex- anisms of atomic properties of the states on cited information provide neutrons by hvhnoNtoa nvriyo yv a sda a as used with was neutrons Taras Kyiv, of MeV of source of Department 14.6 University Physics National near Nuclear (NG- Shevchenko generator in energies Neutron installed neutron 300), compared. and at determined are Yb and in niooe fD,E n bwsanalyzed. was Yb sec- and cross Er reaction Dy, of nuclear isotopes the systematics on of different tions estimation the evalu- for of [9]-[15] reliability of The versions TENDL-2010, latest ENDF/B-VII, JENDL-4.0. libraries: the data from nuclear ated data also were with TALYS cross-sections experimental and compared The 3.0 8]. EMPIRE codes[7, the 1.2 by performed calcu- Theoretical were lations of details). for measurements 6] for [5, cross-sections(see applied the was method activation tron ∗ rs etoso eto Reactions Neutron of Sections Cross [email protected] address: electronic author, Corresponding nti otiuin xeietladtertclcross theoretical and experimental contribution, this In induced sections cross reaction nuclear the of Studies ..Kadenko, A.O. o siain ftecosscin fcniee nuclea considered of cross-sections dec the pre-equilibrium of of estimations Contribution for systemati 1.2. TALYS different and with 3.0 compared PIRE are libraries experim The ENDF TENDL, technique. neutron-activation the by measured fD,E,Y iheiso fnurn,poo n alpha-par Ne and proton approaches. theoretical neutrons, different of and emission data with experimental Yb Er, Dy, of h rs etoso h ula ecin nue yneutr by induced reactions nuclear the of sections cross The .INTRODUCTION I. 1 ula hsc eatet aa hvhnoNtoa Uni National Shevchenko Taras Department, Physics Nuclear rimadYtrimat and E n 14.6 = 1, ∗ ..Kadenko, I.M. α ± ,(,2)o y Er Dy, on 2n) (n, ), . e.Teneu- The MeV. 0.2 1 Dtd ue1,2021) 16, June (Dated: ..Plujko, V.A. ( ,p n, ) ∼ , ( h esrd(,n rs eto nthe on that section seen, be cross TALYS can (n,2n) It the measured set. by the were calculations parameters default In code Koning- 1.2 used. of was potential superfluid [16] optical generalized global Delaroche The the density, taken. was level model nuclear and For 1.5 without = and 0). (PCROSS with processes performed pre-equilibrium were including code 3.0 figures. EMPIRE next the and this on nu- indicated residual the additionally states, are (m) clei metastable and transitions (g) with ground reactions on For calcu- data. evaluated theoretical and with lations comparison in neutrons of number α 1]aemr utdfrdsrpino h experimental the of description for suited data. to more according calcula- are results For the [11] systematics, data. different experimental using with tions are agreement processes best pre-equilibrium for in allowance with code 3.0 of emission cross- with increase reactions to particles. binary due charge competing mainly val- of sections is the sections sections cross reduce cross these 2n) emission of (n, ues pre-equilibrium the of and behavior opposite, A (approximately times). sections five cross in p) (n, the increasing strong increasing. increase number isotopes Dy neutron on the sections TENDL-2010 with cross the 2n) (n, from The value library. evaluated with sec- coincides cross it (n,2n) the measured on The tion avail- data. the with experimental coincides able uncertainties for allowance with 1 ,α n, 4MVNurnEnergy Neutron MeV 14 ecin nteiooe fD safnto fthe of function a as Dy of isotopes the on reactions ) ..Gorbachenko, O.M. acltoso h ula ecincosscin by sections cross reaction nuclear the of Calculations (n, p), (n, 2n), (n, the of sections cross shows 1 Figure ntewoe h eut fcluain yEMPIRE by calculations of results the whole, the On to processes pre-equilibrium for allowance The I EUT FMAUEET AND MEASUREMENTS OF RESULTS II. ecin r tested. are reactions r ) , na n vlae aafo EXFOR, from data are evaluated data and ental experimental improved and w ( n at ons yi icse.Dffrn systematics Different discussed. is ay n, sadcluain ycdso EM- of codes by calculations and cs il r tde yteueo new of use the by studied are ticle 156 2 y(=0 sls hnpeiu ns but ones, previous than less is (N=90) Dy E n n est,Ki,Ukraine Kyiv, versity, ) 46MVo h isotopes the on MeV 14.6 = CALCULATIONS nIooe fDysprosium, of Isotopes on 1 n ..Primenko G.I. and 158 1 y(N=92) Dy Cross Sections of Neutron Reactions ... NUCLEAR DATA SHEETS A.O. Kadenko et al.

FIG. 1. Cross sections of the (n, 2n), (n, p) and (n, α) reac- FIG. 2. Cross sections of the (n, 2n), (n, p) and (n, α) reac- tions on the isotopes of . tions on the isotopes of Erbium.

Cross sections of the (n, 2n), (n, p), (n, α) reactions measured value. The results of calculation using system- on the Er isotopes are given on figure 2. Cross sections atics from [10, 12] is also closer to measured one. The of (n, 2n) reaction on the Er isotopes have the similar cross sections of the (n,α) reaction were measured with peculiarities as on Dy. There is a rather good agreement higher precision and they agree better with calculation between presented measurements and the results of other by systematics from [14, 15]. authors. Figures 3-5 show cross section of the (n, 2n), (n, p), (n, α) reactions the isotopes of Yb. Rather good agreement between experimental data for the 168Yb and 170Yb isotopes (N = 98 and 100) is observed for (n,2n) III. CONCLUSIONS reaction, but presented cross section on 176Yb (N = 106) is placed higher. The cross section of the reaction The results of measurements of the cross sections of 172Yb(n, p)172Tm (N=102) calculated by the EMPIRE the nuclear reactions (n, p), (n, α), (n, 2n) on isotopes 3.0 with pre-equilibrium processes is agree better with of Dy, Er and Yb at the neutron energy 14.6 ± 0.2 MeV

2 Cross Sections of Neutron Reactions ... NUCLEAR DATA SHEETS A.O. Kadenko et al.

N+70 N+70 -EXFOR, -This work,

Yb(n,2n) Yb(n, )

5 JENDL-4.0,

TENDL-2010,

2400

EMPIRE (PCROSS=0),

EMPIRE (PCROSS=1,5),

4

TALYS 1.2,

- Systematics [13],

2100

- Systematics [14],

3

- Systematics [15] , mb , , mb ,

-EXFOR, -This work,

1800 2

JENDL-4.0,

TENDL-2010,

EMPIRE (PCROSS=0),

EMPIRE (PCROSS=1,5),

1

TALYS 1.2, 1500

- Systematics [11],

- Systematics [9]

0

98 99 100 101 102 103 104 105 106 98 99 100 101 102 103 104 105 106

N N

FIG. 3. Cross sections of the (n, 2n) reaction on the isotopes FIG. 5. Cross sections of the (n, α) reaction on the . of Ytterbium.

N+70 -EXFOR, -This work,

Yb(n,p)

JENDL-4.0,

TENDL-2010,

EMPIRE (PCROSS=0),

EMPIRE (PCROSS=1,5),

10

TALYS 1.2,

- Systematics [10],

- Systematics [12] , mb , are presented. They were compared with available exper- imental data, evaluated nuclear data and the theoretical calculations by the EMPIRE and TALYS codes. In the most cases, the presented data correlate well with avail- 1 able experimental data. On the whole, the cross sections calculated by the EMPIRE 3.0 code with pre-equilibrium 98 99 100 101 102 103 104 105 106 processes agree better with experimental data than the N results obtained by TALYS 1.2 code with default set of parameters. Amongst the systematics, the cross section FIG. 4. Cross sections of the (n, p) reaction on the isotopes values calculated by expressions from [10, 12] are more of Ytterbium. consistent with measured cross-sections.

[1] R. Capote et al., Nucl. Data Sheets 110, 3107 (2009); [8] A.J. Koning et al., Proc. of the Int. Conf. on Nu- http://www-nds.iaea.org/RIPL-3/. clear Data for Science and Technology - ND2007, [2] R.A. Forrest, Fusion Eng. and Design 81, 2143 (2006). 211 (2008); http://www.talys.eu/home/ . [3] A.J. Koning et al., JRC Scientific and Tech. Rep [9] Wen-Deh Lu et al., Phys. Rev. C 4, 1173 (1971). EUR23977EN (2009). [10] C.H.M. Broeders et al., Nucl. Phys. A 780, 130 (2006). [4] Experimental Nuclear Reaction Data (EXFOR); [11] A. Konobeyev et al., Nuovo Cimento A 112, 1001 http://www.nndc.bnl.gov/exfor/exfor00.htm . (1999). [5] O.M. Gorbachenko et al., Nucl. Phys. and Atomic En- [12] M. Belgaid et al., Nucl. Instr. Meth. Phys. Research ergy (in Ukrainian) 13, 132 (2012). B 239, 303 (2005). [6] A.O. Kadenko et al., Book of abstract of the 20th [13] Y. Fujino et al., Bull. Inst. Chem. Res. 60, 205 (1982). Int. Sem. on Inter. of Neutrons with Nuclei: [14] F. Kadem et al., Nuc. Instr. and Meth. in Phys. Re- ISINN-20, Dubna, 52 (2012); Proc. of the 20th Int. search B 266, 3213 (2008). Sem. on Inter. of Neutrons with Nuclei: ISINN- [15] A.Yu. Konobeyev et al., Applied Radiation and Iso- 20, Dubna (in press) (2013). topes 67, 357 (2009). [7] M. Herman et al., Nuclear Data Sheets 108, 2655 [16] A.J. Koning et al., Nucl. Phys. A 713, 231 (2003). (2007); http://www.nndc.bnl.gov/empire/ .

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