JENDL-5 (Neutron sublibrary (activation cs)) U -232 0 0 0 0 9.223200+4 2.300440+2 0 0 6 19219 1451 1 0.000000+0 1.000000+0 0 0 0 69219 1451 2 1.000000+0 2.000000+7 0 0 10 59219 1451 3 2.936000+2 0.000000+0 4 0 425 129219 1451 4 92-U -232 JAEA+ EVAL-JAN10 O.Iwamoto, T.Nakagawa, et al. 9219 1451 5 DIST-DEC21 20100323 9219 1451 6 ----JENDL-5 MATERIAL 9219 9219 1451 7 -----INCIDENT NEUTRON DATA 9219 1451 8 ------ENDF-6 FORMAT 9219 1451 9 9219 1451 10 History 9219 1451 11 06-01 Fission cross section was modified. 9219 1451 12 06-10 Nu-p was modified. 9219 1451 13 07-05 New calculation was performed with CCONE code. 9219 1451 14 Data were compiled as JENDL/AC-2008/1/. 9219 1451 15 09-08 (MF1,MT458) was evaluated. 9219 1451 16 10-01 Data of prompt gamma rays due to fission were given. 9219 1451 17 10-03 Covariance data were given. 9219 1451 18 9219 1451 19 21-11 revised by O.Iwamoto 9219 1451 20 (MF3/MT19-21,38) deleted 9219 1451 21 (MF8/MT4,16-18,102) added 9219 1451 22 9219 1451 23 MF= 1 General information 9219 1451 24 MT=452 Number of Neutrons per fission 9219 1451 25 Sum of MT=455 and 456. 9219 1451 26 9219 1451 27 MT=455 Delayed neutron data 9219 1451 28 Nu-d was determined from Tuttle's systematics/2/. Six group 9219 1451 29 decay constants were taken from the paper of Brady and 9219 1451 30 England/3/. 9219 1451 31 9219 1451 32 MT=456 Number of prompt neutrons per fission 9219 1451 33 Nu-p measured by Jaffey and Lerner/4/ at the thermal neutron 9219 1451 34 energy was adopted. An energy dependent term was determined 9219 1451 35 from the systematics of Ohsawa /5/. 9219 1451 36 9219 1451 37 Nu-p of Cf-252 SF = 3.756+-0.031 /6/ was used. 9219 1451 38 9219 1451 39 MT=458 Components of energy release due to fission 9219 1451 40 Total energy and prompt energy were calculated from mass 9219 1451 41 balance using JENDL-4 fission yields data and mass excess 9219 1451 42 evaluation. Mass excess values were from Audi's 2009 9219 1451 43 evaluation/7/. Delayed energy values were calculated from 9219 1451 44 the energy release for infinite irradiation using JENDL FP 9219 1451 45 Decay Data File 2000 and JENDL-4 yields data. For delayed 9219 1451 46 neutron energy, as the JENDL FP Decay Data File 2000/8/ does 9219 1451 47 not include average neutron energy values, the average values 9219 1451 48 were calculated using the formula shown in the report by 9219 1451 49 T.R. England/9/. The fractions of prompt energy were 9219 1451 50 calculated using the fractions of Sher's evaluation/10/ when 9219 1451 51 they were provided. When the fractions were not given by Sher,9219 1451 52 averaged fractions were used. 9219 1451 53 9219 1451 54 9219 1451 55 MF= 2 Resonance parameters 9219 1451 56 MT=151 9219 1451 57 Resolved resonance parameters (MLBW: 1.0E-5 - 200 eV) 9219 1451 58 For JENDL-3.3, recommendation by Mughabghab /11/ was adopted, 9219 1451 59 and its formula was changed from Reich-Moore to Multilevel 9219 1451 60 Breit-Wigner type. Background cross section was given to 9219 1451 61 reproduce measured fission cross sections/12,13/ at valleys 9219 1451 62 of resonance levels. 9219 1451 63 9219 1451 64 For the present file, the capture and fission widths of a 9219 1451 65 negative resonance were modified so as to reproduce thermal 9219 1451 66 cross sections. 9219 1451 67 9219 1451 68 The thermal cross sections to be reproduced: 9219 1451 69 Fission = 76.5 +- 4.1 b 9219 1451 70 Elson et al./14/, Cabell et al./15/, Gryntakis/16/ 9219 1451 71 Capture = 75.4 +- 1.5 b 9219 1451 72 Halperin et al./17/, Cabell et al./15/ 9219 1451 73 9219 1451 74 Unresolved resonance parameters (200 eV- 40 keV) 9219 1451 75 Parameters were determined with ASREP code/18/ so as to 9219 1451 76 repruduce the following cross sections: 9219 1451 77 Total = sum of partial cross sections 9219 1451 78 Elastic = calculated with CCONE code/19/ 9219 1451 79 Fission = results of GMA analysis 9219 1451 80 Capture = calculated with CCONE code 9219 1451 81 9219 1451 82 Thermal cross sections and resonance integrals (at 300K) 9219 1451 83 ------------------------------------------------------- 9219 1451 84 0.0253 eV reson. integ.(*) 9219 1451 85 (barns) (barns) 9219 1451 86 ------------------------------------------------------- 9219 1451 87 total 162.72 9219 1451 88 elastic 10.81 9219 1451 89 fission 76.52 364 9219 1451 90 capture 75.39 173 9219 1451 91 ------------------------------------------------------- 9219 1451 92 (*) In the energy range from 0.5 eV to 10 MeV. 9219 1451 93 9219 1451 94 9219 1451 95 MF= 3 Neutron cross sections 9219 1451 96 Cross sections above the resolved resonance region except for 9219 1451 97 the total (MT=1), elastic scattering (MT=2) and fission cross 9219 1451 98 sections (MT=18, 19, 20, 21, 38) were calculated with CCONE 9219 1451 99 code/19/. 9219 1451 100 9219 1451 101 MT=1 Total cross section 9219 1451 102 From 200 eV to 40 keV: sum of partial cross sections. 9219 1451 103 Above 40 keV: the cross section was calculated with CCONE 9219 1451 104 code using CC OMP of Soukhovitskii et al./20/ 9219 1451 105 9219 1451 106 MT=2 Elastic scattering cross section 9219 1451 107 From 200 eV to 40 keV: calculated with CCONE code. 9219 1451 108 Above 40 keV: total - nonelastic scattering cross sections 9219 1451 109 9219 1451 110 MT=18 Fission cross section 9219 1451 111 Below 200 eV, background cross section was given. 9219 1451 112 Above 200 eV, the following experimental data were analyzed 9219 1451 113 with the GMA code /21/: 9219 1451 114 9219 1451 115 Authors Energy range Data points Reference 9219 1451 116 Auchampaugh+ 0.15 - 1.93 keV 265 /12/ 9219 1451 117 Farrell 0.15 - 21.3 keV 1173 /13/ 9219 1451 118 Fursov+ 0.135 - 14.7 MeV 77 /22/(*1) 9219 1451 119 (*1) Relative to Pu-239 fission. Data were converted 9219 1451 120 to cross sections using JENDL-3.3 data. 9219 1451 121 In the energy range where experimental data were scarce, 9219 1451 122 cross-section curve was determined by eye-guiding. 9219 1451 123 9219 1451 124 The results of GMA were used to determine the parameters in 9219 1451 125 the CCONE calculation. 9219 1451 126 9219 1451 127 MT=19, 20, 21, 38 Multi-chance fission cross sections 9219 1451 128 Calculated with CCONE code, and renormalized to the total 9219 1451 129 fission cross section (MT=18). 9219 1451 130 9219 1451 131 9219 1451 132 MF= 4 Angular distributions of secondary neutrons 9219 1451 133 MT=2 Elastic scattering 9219 1451 134 Calculated with CCONE code. 9219 1451 135 9219 1451 136 MT=18 Fission 9219 1451 137 Isotropic distributions in the laboratory system were assumed.9219 1451 138 9219 1451 139 9219 1451 140 MF= 5 Energy distributions of secondary neutrons 9219 1451 141 MT=18 Prompt neutron spectra 9219 1451 142 Calculated with CCONE code. 9219 1451 143 9219 1451 144 MT=455 Delayed neutron spectra 9219 1451 145 Results of summation calculation made by Brady and England /3/9219 1451 146 were adopted. 9219 1451 147 9219 1451 148 9219 1451 149 MF= 6 Energy-angle distributions 9219 1451 150 Calculated with CCONE code. 9219 1451 151 Distributions from fission (MT=18) are not included. 9219 1451 152 9219 1451 153 9219 1451 154 MF=12 Photon production multiplicities 9219 1451 155 MT=18 Fission 9219 1451 156 Calculated from the total energy released by the prompt 9219 1451 157 gamma-rays due to fission given in MF=1/MT=458 and the 9219 1451 158 average energy of gamma-rays. 9219 1451 159 9219 1451 160 9219 1451 161 MF=14 Photon angular distributions 9219 1451 162 MT=18 Fission 9219 1451 163 Isotoropic distributions were assumed. 9219 1451 164 9219 1451 165 9219 1451 166 MF=15 Continuous photon energy spectra 9219 1451 167 MT=18 Fission 9219 1451 168 Experimental data measured by Verbinski et al./23/ for 9219 1451 169 U-235 thermal fission were adopted. 9219 1451 170 9219 1451 171 9219 1451 172 MF=31 Covariances of average number of neutrons per fission 9219 1451 173 MT=452 Number of neutrons per fission 9219 1451 174 Combination of covariances for MT=455 and MT=456. 9219 1451 175 9219 1451 176 MT=455 9219 1451 177 Error of 15% was assumed below 4 MeV and 4 - 7 MeV, and above 9219 1451 178 7 MeV, respectively. 9219 1451 179 9219 1451 180 MT=456 9219 1451 181 Covariance was obtained by fitting a linear function to the 9219 1451 182 data at thermal energy and 5 MeV assuming errors of 2% and 9219 1451 183 5%, respectively. 9219 1451 184 9219 1451 185 9219 1451 186 MF=32 Covariances of resonance parameters 9219 1451 187 Format of LCOMP=0 was adopted. 9219 1451 188 9219 1451 189 Standard deviations were adopted from the data of Mughabghab 9219 1451 190 /11/. 9219 1451 191 9219 1451 192 9219 1451 193 MF=33 Covariances of neutron cross sections 9219 1451 194 Covariances were given to all the cross sections by using 9219 1451 195 KALMAN code/24/ and the covariances of model parameters 9219 1451 196 used in the theoretical calculations. 9219 1451 197 9219 1451 198 Covariances of the total, elastic-scattering and capture cross 9219 1451 199 sections were determined by considering the experimental data 9219 1451 200 (see MF=3). 9219 1451 201 9219 1451 202 For the following cross sections, covariances were further 9219 1451 203 modified. 9219 1451 204 9219 1451 205 MT=1,2 Total and elastic scattering cross sections 9219 1451 206 In the resonance region (up to 200 eV), uncertainty of 10 % 9219 1451 207 was added. 9219 1451 208 9219 1451 209 9219 1451 210 MT=18 Fission cross section 9219 1451 211 In the resonance region, error of 5% was added to the 9219 1451 212 contributions from uncertainties of resonance parameters. 9219 1451 213 9219 1451 214 Above the resonance region, cross section was evaluated with 9219 1451 215 GMA code/21/. Standard deviations of 20% were added in the 9219 1451 216 energy region from 200 eV to 20 keV. Above 8 MeV, they were 9219 1451 217 assumed to be 10%. 9219 1451 218 9219 1451 219 MT=102 Capture cross section 9219 1451 220 In the resonance region, addtional error of 2 % was given. 9219 1451 221 9219 1451 222 9219 1451 223 MF=34 Covariances for Angular Distributions 9219 1451 224 MT=2 Elastic scattering 9219 1451 225 Covariances were given only to P1 components. 9219 1451 226 9219 1451 227 9219 1451 228 MF=35 Covariances for Energy Distributions 9219 1451 229 MT=18 Fission spectra 9219 1451 230 Estimated with CCONE and KALMAN codes. 9219 1451 231 9219 1451 232 9219 1451 233 ***************************************************************** 9219 1451 234 Calculation with CCONE code 9219 1451 235 ***************************************************************** 9219 1451 236 9219 1451 237 Models and parameters used in the CCONE/19/ calculation 9219 1451 238 1) Coupled channel optical model 9219 1451 239 Levels in the rotational band were included. Optical model 9219 1451 240 potential and coupled levels are shown in Table 1. 9219 1451 241 9219 1451 242 2) Two-component exciton model/25/ 9219 1451 243 * Global parametrization of Koning-Duijvestijn/26/ 9219 1451 244 was used. 9219 1451 245 * Gamma emission channel/27/ was added to simulate direct 9219 1451 246 and semi-direct capture reaction. 9219 1451 247 9219 1451 248 3) Hauser-Feshbach statistical model 9219 1451 249 * Moldauer width fluctuation correction/28/ was included. 9219 1451 250 * Neutron, gamma and fission decay channel were included. 9219 1451 251 * Transmission coefficients of neutrons were taken from 9219 1451 252 coupled channel calculation in Table 1. 9219 1451 253 * The level scheme of the target is shown in Table 2. 9219 1451 254 * Level density formula of constant temperature and Fermi-gas 9219 1451 255 model were used with shell energy correction and collective 9219 1451 256 enhancement factor. Parameters are shown in Table 3. 9219 1451 257 * Fission channel: 9219 1451 258 Double humped fission barriers were assumed. 9219 1451 259 Fission barrier penetrabilities were calculated with 9219 1451 260 Hill-Wheler formula/29/. Fission barrier parameters were 9219 1451 261 shown in Table 4. Transition state model was used and 9219 1451 262 continuum levels are assumed above the saddles. The level 9219 1451 263 density parameters for inner and outer saddles are shown in 9219 1451 264 Tables 5 and 6, respectively. 9219 1451 265 * Gamma-ray strength function of Kopecky et al/30/,/31/ 9219 1451 266 was used. The prameters are shown in Table 7. 9219 1451 267 9219 1451 268 9219 1451 269 ------------------------------------------------------------------9219 1451 270 Tables 9219 1451 271 ------------------------------------------------------------------9219 1451 272 9219 1451 273 Table 1. Coupled channel calculation 9219 1451 274 -------------------------------------------------- 9219 1451 275 * rigid rotor model was applied 9219 1451 276 * coupled levels = 0,1,2,3,4 (see Table 2) 9219 1451 277 * optical potential parameters /20/ 9219 1451 278 Volume: 9219 1451 279 V_0 = 49.97 MeV 9219 1451 280 lambda_HF = 0.01004 1/MeV 9219 1451 281 C_viso = 15.9 MeV 9219 1451 282 A_v = 12.04 MeV 9219 1451 283 B_v = 81.36 MeV 9219 1451 284 E_a = 385 MeV 9219 1451 285 r_v = 1.2568 fm 9219 1451 286 a_v = 0.633 fm 9219 1451 287 Surface: 9219 1451 288 W_0 = 17.2 MeV 9219 1451 289 B_s = 11.19 MeV 9219 1451 290 C_s = 0.01361 1/MeV 9219 1451 291 C_wiso = 23.5 MeV 9219 1451 292 r_s = 1.1803 fm 9219 1451 293 a_s = 0.601 fm 9219 1451 294 Spin-orbit: 9219 1451 295 V_so = 5.75 MeV 9219 1451 296 lambda_so = 0.005 1/MeV 9219 1451 297 W_so = -3.1 MeV 9219 1451 298 B_so = 160 MeV 9219 1451 299 r_so = 1.1214 fm 9219 1451 300 a_so = 0.59 fm 9219 1451 301 Coulomb: 9219 1451 302 C_coul = 1.3 9219 1451 303 r_c = 1.2452 fm 9219 1451 304 a_c = 0.545 fm 9219 1451 305 Deformation: 9219 1451 306 beta_2 = 0.213 9219 1451 307 beta_4 = 0.066 9219 1451 308 beta_6 = 0.0015 9219 1451 309 9219 1451 310 * Calculated strength function 9219 1451 311 S0= 1.05e-4 S1= 2.49e-4 R'= 9.65 fm (En=1 keV) 9219 1451 312 -------------------------------------------------- 9219 1451 313 9219 1451 314 Table 2. Level Scheme of U-232 9219 1451 315 ------------------- 9219 1451 316 No. Ex(MeV) J PI 9219 1451 317 ------------------- 9219 1451 318 0 0.00000 0 + * 9219 1451 319 1 0.04757 2 + * 9219 1451 320 2 0.15657 4 + * 9219 1451 321 3 0.32260 6 + * 9219 1451 322 4 0.54100 8 + * 9219 1451 323 5 0.56319 1 - 9219 1451 324 6 0.62897 3 - 9219 1451 325 7 0.69121 0 + 9219 1451 326 8 0.73456 2 + 9219 1451 327 9 0.74690 5 - 9219 1451 328 10 0.80580 10 + 9219 1451 329 11 0.83307 4 + 9219 1451 330 12 0.86679 2 + 9219 1451 331 13 0.91142 3 + 9219 1451 332 14 0.91510 7 - 9219 1451 333 15 0.97068 4 + 9219 1451 334 16 0.98480 6 + 9219 1451 335 17 1.01685 2 - 9219 1451 336 ------------------- 9219 1451 337 *) Coupled levels in CC calculation 9219 1451 338 9219 1451 339 Table 3. Level density parameters 9219 1451 340 -------------------------------------------------------- 9219 1451 341 Nuclide a* Pair Eshell T E0 Ematch 9219 1451 342 1/MeV MeV MeV MeV MeV MeV 9219 1451 343 -------------------------------------------------------- 9219 1451 344 U-233 18.3972 0.7861 2.4694 0.3819 -0.8199 2.9895 9219 1451 345 U-232 18.3293 1.5757 2.6095 0.3887 -0.1141 3.8805 9219 1451 346 U-231 18.2614 0.7895 2.6793 0.4123 -1.1756 3.4264 9219 1451 347 U-230 18.1935 1.5825 2.6739 0.3937 -0.1508 3.9419 9219 1451 348 -------------------------------------------------------- 9219 1451 349 9219 1451 350 Table 4. Fission barrier parameters 9219 1451 351 ---------------------------------------- 9219 1451 352 Nuclide V_A hw_A V_B hw_B 9219 1451 353 MeV MeV MeV MeV 9219 1451 354 ---------------------------------------- 9219 1451 355 U-233 5.970 0.800 5.450 0.520 9219 1451 356 U-232 5.800 1.040 5.000 0.600 9219 1451 357 U-231 6.000 0.800 5.600 0.520 9219 1451 358 U-230 3.800 1.040 3.900 0.600 9219 1451 359 ---------------------------------------- 9219 1451 360 9219 1451 361 Table 5. Level density above inner saddle 9219 1451 362 -------------------------------------------------------- 9219 1451 363 Nuclide a* Pair Eshell T E0 Ematch 9219 1451 364 1/MeV MeV MeV MeV MeV MeV 9219 1451 365 -------------------------------------------------------- 9219 1451 366 U-233 20.2008 0.9172 2.6000 0.3312 -1.4942 2.9172 9219 1451 367 U-232 20.1263 1.8383 2.6000 0.3319 -0.5731 3.8383 9219 1451 368 U-231 20.0518 0.9211 2.6000 0.3325 -1.4903 2.9211 9219 1451 369 U-230 19.9772 1.8463 2.6000 0.3332 -0.5651 3.8463 9219 1451 370 -------------------------------------------------------- 9219 1451 371 9219 1451 372 Table 6. Level density above outer saddle 9219 1451 373 -------------------------------------------------------- 9219 1451 374 Nuclide a* Pair Eshell T E0 Ematch 9219 1451 375 1/MeV MeV MeV MeV MeV MeV 9219 1451 376 -------------------------------------------------------- 9219 1451 377 U-233 20.2008 0.9172 0.0200 0.3576 -0.6166 2.7172 9219 1451 378 U-232 20.1263 1.8383 -0.0200 0.3745 0.1401 3.8383 9219 1451 379 U-231 20.0518 0.9211 -0.0600 0.3758 -0.7765 2.9211 9219 1451 380 U-230 19.9772 1.8463 -0.1000 0.3771 0.1493 3.8463 9219 1451 381 -------------------------------------------------------- 9219 1451 382 9219 1451 383 Table 7. Gamma-ray strength function for U-233 9219 1451 384 -------------------------------------------------------- 9219 1451 385 K0 = 1.501 E0 = 4.500 (MeV) 9219 1451 386 * E1: ER = 10.90 (MeV) EG = 2.50 (MeV) SIG = 300.00 (mb) 9219 1451 387 ER = 13.80 (MeV) EG = 4.70 (MeV) SIG = 450.00 (mb) 9219 1451 388 * M1: ER = 6.66 (MeV) EG = 4.00 (MeV) SIG = 2.69 (mb) 9219 1451 389 * E2: ER = 10.24 (MeV) EG = 3.31 (MeV) SIG = 6.53 (mb) 9219 1451 390 -------------------------------------------------------- 9219 1451 391 9219 1451 392 9219 1451 393 References 9219 1451 394 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9219 1451 395 2) R.J.Tuttle: INDC(NDS)-107/G+Special, p.29 (1979). 9219 1451 396 3) M.C.Brady, T.R.England: Nucl. Sci. Eng., 103, 129 (1989). 9219 1451 397 4) A.H.Jaffey, J.L.Lerner: Nucl. Phys., A145, 1 (1970). 9219 1451 398 5) T.Ohsawa: private communication (2004). 9219 1451 399 6) A.S.Vorobyev et al.: 2004 Santa Fe, Vol.1, p.613 (2004). 9219 1451 400 7) G.Audi: Private communication (April 2009). 9219 1451 401 8) J.Katakura et al.: JAERI 1343 (2001). 9219 1451 402 9) T.R.England et al.: LA-11151-MS (1988). 9219 1451 403 10) R.Sher, C.Beck: EPRI NP-1771 (1981). 9219 1451 404 11) S.F.Mughabghab: Neutron Cross Sections, Vol.1, Part B, 9219 1451 405 Academic Press, INC. (1984). 9219 1451 406 12) G.F.Auchampaugh et al.: Nucl. Phys. A112, 329 (1968). 9219 1451 407 13) J.A.Farrell: LA-4420, p.3 (1970) 9219 1451 408 14) R.Elson et al.: Phys. Rev., 89, 320 (1953). 9219 1451 409 15) M.J.Cabell, M.Wilkins: 1971 Canterbury, p.161 (1971). 9219 1451 410 16) E.Gryntakis: EXFOR20625 (1976). 9219 1451 411 17) J.Halperin et al.: Nucl. Sci. Eng., 21, 257 (1965). 9219 1451 412 18) Y.Kikuchi et al.: JAERI-Data/Code 99-025 (1999) in Japanese. 9219 1451 413 19) O.Iwamoto: J. Nucl. Sci. 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C47, 312 (1990). 9219 1451 428 9219 1451 429 1 451 441 19219 1451 430 2 151 4 19219 1451 431 3 4 31 19219 1451 432 3 16 12 19219 1451 433 3 17 8 19219 1451 434 3 18 1807 19219 1451 435 3 102 1626 19219 1451 436 8 4 2 19219 1451 437 8 16 2 19219 1451 438 8 17 2 19219 1451 439 8 18 2 19219 1451 440 8 102 2 19219 1451 441 9219 1 099999 9219 0 0 0 9.223200+4 2.300440+2 0 0 1 09219 2151 1 9.223200+4 1.000000+0 0 0 1 09219 2151 2 1.000000-5 2.000000+2 0 0 0 09219 2151 3 0.000000+0 9.800000-1 0 0 0 09219 2151 4 9219 2 099999 9219 0 0 0 9.223200+4 2.300440+2 0 0 0 09219 3 4 1 0.000000+0-4.757200+4 0 0 1 829219 3 4 2 82 2 9219 3 4 3 4.777880+4 0.000000+0 5.000000+4 6.421080-3 7.000000+4 1.008430-19219 3 4 4 1.000000+5 2.526840-1 1.109580+5 2.939639-1 1.200000+5 3.280301-19219 3 4 5 1.400000+5 3.933312-1 1.572510+5 4.440816-1 1.700000+5 4.791974-19219 3 4 6 2.000000+5 5.619794-1 2.500000+5 6.408697-1 3.000000+5 7.125051-19219 3 4 7 3.240020+5 7.233852-1 4.000000+5 7.582389-1 5.000000+5 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