JENDL-5 (Neutron sublibrary (activation cs)) Pa-232 0 0 0 0 9.123200+4 2.300450+2 0 0 6 19134 1451 1 0.000000+0 1.000000+0 0 0 0 69134 1451 2 1.000000+0 2.000000+7 0 0 10 59134 1451 3 2.936000+2 0.000000+0 4 0 348 149134 1451 4 91-Pa-232 JAEA+ EVAL-FEB10 O.Iwamoto, T.Nakagawa, et al. 9134 1451 5 DIST-DEC21 20100323 9134 1451 6 ----JENDL-5 MATERIAL 9134 9134 1451 7 -----INCIDENT NEUTRON DATA 9134 1451 8 ------ENDF-6 FORMAT 9134 1451 9 9134 1451 10 History 9134 1451 11 03-02 Resolved resonance parameters and cross sections below 30 9134 1451 12 keV were updated. 9134 1451 13 07-08 Resolved resonance parameters were modified. 9134 1451 14 07-10 Theoretical calculation was carried out with CCONE code. 9134 1451 15 Data were compiled as JENDL/AC-2008/1/. 9134 1451 16 09-04 Numbers of prompt and delayed neutrons were revised. 9134 1451 17 10-02 Data of prompt gamma rays due to fission were given. 9134 1451 18 10-03 Covariance data were given. 9134 1451 19 9134 1451 20 21-11 revised by O.Iwamoto 9134 1451 21 (MF3/MT19-21,38) deleted 9134 1451 22 (MF8/MT4,16-18,37,102) added 9134 1451 23 9134 1451 24 MF=1 General information 9134 1451 25 MT=452 Number of Neutrons per fission 9134 1451 26 Sum of MT's=455 and 456. 9134 1451 27 9134 1451 28 MT=455 Delayed neutron data 9134 1451 29 Determined from nu-d of the following three fissioning 9134 1451 30 nuclides and partial fission cross sections calculated with 9134 1451 31 CCONE code/2/. 9134 1451 32 Pa-233 = 0.01577 9134 1451 33 Pa-232 = 0.01083 9134 1451 34 Pa-231 = 0.007461 9134 1451 35 They are averages of systematics by Tuttle/3/, 9134 1451 36 Benedetti et al./4/ and Waldo et al./5/ 9134 1451 37 9134 1451 38 MT=456 Number of prompt neutrons per fission 9134 1451 39 Estimated from Ohsawa's systematics/6/. 9134 1451 40 nup = 2.0860 + 0.13668*E(MeV) 9134 1451 41 9134 1451 42 9134 1451 43 MF=2 Resonance parameters 9134 1451 44 MT=151 Resonance parameters 9134 1451 45 Resolved resonance parameters (1.0E-5 to 21 eV, MLBW) 9134 1451 46 Parameters evaluated by Bakhanovich et al./7/ were adopted 9134 1451 47 after modifying parameters of a negative resonance and adding 9134 1451 48 one at -0.3 eV so as to reproduce thermal cross sections. 9134 1451 49 The data of Danon et al./8/ were used for the evaluation by 9134 1451 50 Bakhanovich et al. 9134 1451 51 9134 1451 52 Thermal cross sections to be reproduced: 9134 1451 53 capture = 589+-56 /9,10/ 9134 1451 54 fission = 1488+-14 /8,11/ 9134 1451 55 9134 1451 56 Unresolved resonance parameters (21 eV - 10 keV) 9134 1451 57 Cross sections were reproduced with average resonance 9134 1451 58 parameters determined by ASREP code/12/. These parameters 9134 1451 59 are used only for self-shielding effects. 9134 1451 60 9134 1451 61 Thermal cross sections and resonance integrals (at 300K) 9134 1451 62 ------------------------------------------------------- 9134 1451 63 0.0253 eV reson. integ.(*) 9134 1451 64 (barns) (barns) 9134 1451 65 ------------------------------------------------------- 9134 1451 66 total 2100.3 9134 1451 67 elastic 23.91 9134 1451 68 fission 1487.4 931 9134 1451 69 capture 589.0 165 9134 1451 70 ------------------------------------------------------- 9134 1451 71 (*) In the energy range from 0.5 eV to 10 MeV. 9134 1451 72 9134 1451 73 9134 1451 74 MF=3 Neutron cross sections 9134 1451 75 Cross sections above the resolved resonance region were 9134 1451 76 calculated with CCONE code/2/. 9134 1451 77 9134 1451 78 MT= 1 Total cross section 9134 1451 79 The cross section was calculated with CC OMP of Soukhovitskii 9134 1451 80 et al./13/. 9134 1451 81 9134 1451 82 MT=18 Fission cross section 9134 1451 83 The experimental data of Danon et al./8/ and the simulated 9134 1451 84 (n,f) cross sections of Britt and Wilhelmy/14/ were used to 9134 1451 85 determine the parameters in the CCONE calculation. 9134 1451 86 9134 1451 87 9134 1451 88 MF= 4 Angular distributions of secondary neutrons 9134 1451 89 MT=2 Elastic scattering 9134 1451 90 Calculated with CCONE code/2/. 9134 1451 91 9134 1451 92 MT=18 Fission 9134 1451 93 Isotropic distributions in the laboratory system were assumed.9134 1451 94 9134 1451 95 9134 1451 96 MF= 5 Energy distributions of secondary neutrons 9134 1451 97 MT=18 Prompt neutrons 9134 1451 98 Calculated with CCONE code/2/. 9134 1451 99 9134 1451 100 9134 1451 101 MF= 6 Energy-angle distributions 9134 1451 102 Calculated with CCONE code/2/. 9134 1451 103 Distributions from fission (MT=18) are not included. 9134 1451 104 9134 1451 105 9134 1451 106 MF=12 Photon production multiplicities 9134 1451 107 MT=18 Fission 9134 1451 108 Calculated from the total energy released by the prompt 9134 1451 109 gamma-rays due to fission which was estimated from its 9134 1451 110 systematics, and the average energy of gamma-rays. 9134 1451 111 9134 1451 112 9134 1451 113 MF=14 Photon angular distributions 9134 1451 114 MT=18 Fission 9134 1451 115 Isotoropic distributions were assumed. 9134 1451 116 9134 1451 117 9134 1451 118 MF=15 Continuous photon energy spectra 9134 1451 119 MT=18 Fission 9134 1451 120 Experimental data measured by Verbinski et al./15/ for 9134 1451 121 U-235 thermal fission were adopted. 9134 1451 122 9134 1451 123 9134 1451 124 MF=31 Covariances of average number of neutrons per fission 9134 1451 125 MT=452 Number of neutrons per fission 9134 1451 126 Sum of covariances for MT=455 and MT=456. 9134 1451 127 9134 1451 128 MT=455 9134 1451 129 Error of 15% was assumed. 9134 1451 130 9134 1451 131 MT=456 9134 1451 132 Covariance was obtained by fitting a linear function to the 9134 1451 133 data at 0.0 and 5.0 MeV with an uncertainty of 5%. 9134 1451 134 9134 1451 135 9134 1451 136 MF=32 Covariances of resonance parameters 9134 1451 137 MT=151 Resolved resonance parameterss 9134 1451 138 Format of LCOMP=0 was adopted. 9134 1451 139 9134 1451 140 Uncertainties of parameters were assumed as follows: 9134 1451 141 Resonance energy 0.1 % 9134 1451 142 Neutron width 10 % 9134 1451 143 Capture width 50 % 9134 1451 144 Fission width 20 % 9134 1451 145 9134 1451 146 They were further modified by considering experimental data 9134 1451 147 of the fission and capture cross sections at the thermal 9134 1451 148 neutron energy. 9134 1451 149 9134 1451 150 9134 1451 151 MF=33 Covariances of neutron cross sections 9134 1451 152 Covariances were given to all the cross sections by using 9134 1451 153 KALMAN code/16/ and the covariances of model parameters 9134 1451 154 used in the cross-section calculations. 9134 1451 155 9134 1451 156 Covariances of the total, elastic-scattering, fission and 9134 1451 157 capture cross sections were determined by considering the 9134 1451 158 experimental data (see MF=3). 9134 1451 159 9134 1451 160 In the resolved resonance region, the following standard 9134 1451 161 deviations were added to the contributions from resonance 9134 1451 162 parameters: 9134 1451 163 Total 2 b 9134 1451 164 Elastic scattering 20 % 9134 1451 165 9134 1451 166 9134 1451 167 MF=34 Covariances for Angular Distributions 9134 1451 168 MT=2 Elastic scattering 9134 1451 169 Covariances were given only to P1 components. 9134 1451 170 9134 1451 171 9134 1451 172 MF=35 Covariances for Energy Distributions 9134 1451 173 MT=18 Fission spectra 9134 1451 174 Estimated with CCONE and KALMAN codes. 9134 1451 175 9134 1451 176 9134 1451 177 ***************************************************************** 9134 1451 178 Calculation with CCONE code 9134 1451 179 ***************************************************************** 9134 1451 180 9134 1451 181 Models and parameters used in the CCONE/2/ calculation 9134 1451 182 1) Coupled channel optical model 9134 1451 183 Levels in the rotational band were included. Optical model 9134 1451 184 potential and coupled levels are shown in Table 1. 9134 1451 185 9134 1451 186 2) Two-component exciton model/17/ 9134 1451 187 * Global parametrization of Koning-Duijvestijn/18/ 9134 1451 188 was used. 9134 1451 189 * Gamma emission channel/19/ was added to simulate direct 9134 1451 190 and semi-direct capture reaction. 9134 1451 191 9134 1451 192 3) Hauser-Feshbach statistical model 9134 1451 193 * Moldauer width fluctuation correction/20/ was included. 9134 1451 194 * Neutron, gamma and fission decay channel were included. 9134 1451 195 * Transmission coefficients of neutrons were taken from 9134 1451 196 coupled channel calculation in Table 1. 9134 1451 197 * The level scheme of the target is shown in Table 2. 9134 1451 198 * Level density formula of constant temperature and Fermi-gas 9134 1451 199 model were used with shell energy correction and collective 9134 1451 200 enhancement factor. Parameters are shown in Table 3. 9134 1451 201 * Fission channel: 9134 1451 202 Double humped fission barriers were assumed. 9134 1451 203 Fission barrier penetrabilities were calculated with 9134 1451 204 Hill-Wheler formula/21/. Fission barrier parameters were 9134 1451 205 shown in Table 4. Transition state model was used and 9134 1451 206 continuum levels are assumed above the saddles. The level 9134 1451 207 density parameters for inner and outer saddles are shown in 9134 1451 208 Tables 5 and 6, respectively. 9134 1451 209 * Gamma-ray strength function of Kopecky et al/22/,/23/ 9134 1451 210 was used. The prameters are shown in Table 7. 9134 1451 211 9134 1451 212 9134 1451 213 ------------------------------------------------------------------9134 1451 214 Tables 9134 1451 215 ------------------------------------------------------------------9134 1451 216 9134 1451 217 Table 1. Coupled channel calculation 9134 1451 218 -------------------------------------------------- 9134 1451 219 * rigid rotor model was applied 9134 1451 220 * coupled levels = 0,1,2,3 (see Table 2) 9134 1451 221 * optical potential parameters /13/ 9134 1451 222 Volume: 9134 1451 223 V_0 = 49.97 MeV 9134 1451 224 lambda_HF = 0.01004 1/MeV 9134 1451 225 C_viso = 15.9 MeV 9134 1451 226 A_v = 12.04 MeV 9134 1451 227 B_v = 81.36 MeV 9134 1451 228 E_a = 385 MeV 9134 1451 229 r_v = 1.2568 fm 9134 1451 230 a_v = 0.633 fm 9134 1451 231 Surface: 9134 1451 232 W_0 = 17.2 MeV 9134 1451 233 B_s = 11.19 MeV 9134 1451 234 C_s = 0.01361 1/MeV 9134 1451 235 C_wiso = 23.5 MeV 9134 1451 236 r_s = 1.1803 fm 9134 1451 237 a_s = 0.601 fm 9134 1451 238 Spin-orbit: 9134 1451 239 V_so = 5.75 MeV 9134 1451 240 lambda_so = 0.005 1/MeV 9134 1451 241 W_so = -3.1 MeV 9134 1451 242 B_so = 160 MeV 9134 1451 243 r_so = 1.1214 fm 9134 1451 244 a_so = 0.59 fm 9134 1451 245 Coulomb: 9134 1451 246 C_coul = 1.3 9134 1451 247 r_c = 1.2452 fm 9134 1451 248 a_c = 0.545 fm 9134 1451 249 Deformation: 9134 1451 250 beta_2 = 0.213 9134 1451 251 beta_4 = 0.066 9134 1451 252 beta_6 = 0.0015 9134 1451 253 9134 1451 254 * Calculated strength function 9134 1451 255 S0= 0.90e-4 S1= 1.92e-4 R'= 9.70 fm (En=1 keV) 9134 1451 256 -------------------------------------------------- 9134 1451 257 9134 1451 258 Table 2. Level Scheme of Pa-232 9134 1451 259 ------------------- 9134 1451 260 No. Ex(MeV) J PI 9134 1451 261 ------------------- 9134 1451 262 0 0.00000 2 - * 9134 1451 263 1 0.06000 3 - * 9134 1451 264 ------------------- 9134 1451 265 *) Coupled levels in CC calculation 9134 1451 266 9134 1451 267 Table 3. Level density parameters 9134 1451 268 -------------------------------------------------------- 9134 1451 269 Nuclide a* Pair Eshell T E0 Ematch 9134 1451 270 1/MeV MeV MeV MeV MeV MeV 9134 1451 271 -------------------------------------------------------- 9134 1451 272 Pa-233 16.7739 0.7861 3.1759 0.4375 -1.3104 3.5616 9134 1451 273 Pa-232 17.9699 0.0000 2.9784 0.2779 -0.6740 1.0000 9134 1451 274 Pa-231 17.9034 0.7895 3.1164 0.4176 -1.2470 3.5007 9134 1451 275 Pa-230 17.8368 0.0000 2.9470 0.2794 -0.6728 1.0000 9134 1451 276 Pa-229 17.7702 0.7930 3.0707 0.3881 -0.8689 3.0597 9134 1451 277 -------------------------------------------------------- 9134 1451 278 9134 1451 279 Table 4. Fission barrier parameters 9134 1451 280 ---------------------------------------- 9134 1451 281 Nuclide V_A hw_A V_B hw_B 9134 1451 282 MeV MeV MeV MeV 9134 1451 283 ---------------------------------------- 9134 1451 284 Pa-233 5.800 0.800 6.000 0.520 9134 1451 285 Pa-232 5.800 0.800 6.180 0.400 9134 1451 286 Pa-231 6.000 0.800 5.750 0.520 9134 1451 287 Pa-230 5.800 0.800 6.180 0.400 9134 1451 288 Pa-229 6.000 0.800 5.800 0.520 9134 1451 289 ---------------------------------------- 9134 1451 290 9134 1451 291 Table 5. Level density above inner saddle 9134 1451 292 -------------------------------------------------------- 9134 1451 293 Nuclide a* Pair Eshell T E0 Ematch 9134 1451 294 1/MeV MeV MeV MeV MeV MeV 9134 1451 295 -------------------------------------------------------- 9134 1451 296 Pa-233 21.6437 0.9172 2.6000 0.3187 -1.4511 2.9172 9134 1451 297 Pa-232 20.6654 0.0000 2.6000 0.3415 -2.6081 2.2000 9134 1451 298 Pa-231 20.5889 0.9211 2.6000 0.3276 -1.4734 2.9211 9134 1451 299 Pa-230 20.5123 0.0000 2.6000 0.3428 -2.6080 2.2000 9134 1451 300 Pa-229 20.4357 0.9251 2.6000 0.3435 -1.6829 3.1251 9134 1451 301 -------------------------------------------------------- 9134 1451 302 9134 1451 303 Table 6. Level density above outer saddle 9134 1451 304 -------------------------------------------------------- 9134 1451 305 Nuclide a* Pair Eshell T E0 Ematch 9134 1451 306 1/MeV MeV MeV MeV MeV MeV 9134 1451 307 -------------------------------------------------------- 9134 1451 308 Pa-233 21.6437 0.9172 -0.0400 0.3439 -0.6013 2.7172 9134 1451 309 Pa-232 20.6654 0.0000 -0.0800 0.4050 -2.1087 2.5000 9134 1451 310 Pa-231 20.5889 0.9211 -0.1200 0.3706 -0.7702 2.9211 9134 1451 311 Pa-230 20.5123 0.0000 -0.1600 0.3867 -1.8562 2.2000 9134 1451 312 Pa-229 20.4357 0.9251 -0.2000 0.3880 -0.9302 3.1251 9134 1451 313 -------------------------------------------------------- 9134 1451 314 9134 1451 315 Table 7. Gamma-ray strength function for Pa-233 9134 1451 316 -------------------------------------------------------- 9134 1451 317 K0 = 0.800 E0 = 4.500 (MeV) 9134 1451 318 * E1: ER = 11.03 (MeV) EG = 2.71 (MeV) SIG = 302.00 (mb) 9134 1451 319 ER = 13.87 (MeV) EG = 4.77 (MeV) SIG = 449.00 (mb) 9134 1451 320 * M1: ER = 6.66 (MeV) EG = 4.00 (MeV) SIG = 1.82 (mb) 9134 1451 321 * E2: ER = 10.24 (MeV) EG = 3.31 (MeV) SIG = 6.38 (mb) 9134 1451 322 -------------------------------------------------------- 9134 1451 323 9134 1451 324 9134 1451 325 References 9134 1451 326 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9134 1451 327 2) O.Iwamoto: J. Nucl. Sci. Technol., 44, 687 (2007). 9134 1451 328 3) R.J.Tuttle: INDC(NDS)-107/G+Special, p.29 (1979). 9134 1451 329 4) G.Benedetti et al.: Nucl. Sci. Eng., 80, 379 (1982). 9134 1451 330 5) R.Waldo et al.: Phys. Rev., C23, 1113 (1981). 9134 1451 331 6) T.Ohsawa: J. Nucl. Radiochem. Sci., 9, 19 (2008). 9134 1451 332 7) L.A.Bakhanovich, G.B.Morogovskij: INDC(CCP)-426, p.113 9134 1451 333 (2001). 9134 1451 334 8) Y.Danon et al.: Nucl. Sci. Eng., 124, 482 (1996). 9134 1451 335 9) E.M.Gryntakis: thesis (1976). 9134 1451 336 10) M.Andreev et al.: 2001 Tsukuba, Vol. 1, p.280 (2001). 9134 1451 337 11) E.F.Fomushkin et al.: 1997 Trieste, Vol.2, 1353 (1997). 9134 1451 338 12) Y.Kikuchi et al.: JAERI-Data/Code 99-025 (1999) in Japanese. 9134 1451 339 13) E.Sh.Soukhovitskii et al.: Phys. Rev. C72, 024604 (2005). 9134 1451 340 14) H.C.Britt, J.B.Wilhelmy: Nucl. Sci. Eng., 72, 222 (1979). 9134 1451 341 15) V.V.Verbinski et al.: Phys. Rev., C7, 1173 (1973). 9134 1451 342 16) T.Kawano, K.Shibata, JAERI-Data/Code 97-037 (1997) in 9134 1451 343 Japanese. 9134 1451 344 17) C.Kalbach: Phys. Rev. C33, 818 (1986). 9134 1451 345 18) A.J.Koning, M.C.Duijvestijn: Nucl. Phys. A744, 15 (2004). 9134 1451 346 19) J.M.Akkermans, H.Gruppelaar: Phys. Lett. 157B, 95 (1985). 9134 1451 347 20) P.A.Moldauer: Nucl. Phys. A344, 185 (1980). 9134 1451 348 21) D.L.Hill, J.A.Wheeler: Phys. Rev. 89, 1102 (1953). 9134 1451 349 22) J.Kopecky, M.Uhl: Phys. Rev. C41, 1941 (1990). 9134 1451 350 23) J.Kopecky, M.Uhl, R.E.Chrien: Phys. Rev. C47, 312 (1990). 9134 1451 351 9134 1451 352 1 451 366 19134 1451 353 2 151 4 19134 1451 354 3 4 25 19134 1451 355 3 16 13 19134 1451 356 3 17 9 19134 1451 357 3 18 486 19134 1451 358 3 37 5 19134 1451 359 3 102 638 19134 1451 360 8 4 2 19134 1451 361 8 16 2 19134 1451 362 8 17 2 19134 1451 363 8 18 2 19134 1451 364 8 37 2 19134 1451 365 8 102 2 19134 1451 366 9134 1 099999 9134 0 0 0 9.123200+4 2.300450+2 0 0 1 09134 2151 1 9.123200+4 1.000000+0 0 0 1 09134 2151 2 1.000000-5 2.100000+1 0 0 0 09134 2151 3 2.000000+0 9.890000-1 0 0 0 09134 2151 4 9134 2 099999 9134 0 0 0 9.123200+4 2.300450+2 0 0 0 09134 3 4 1 0.000000+0-6.000000+4 0 0 1 659134 3 4 2 65 2 9134 3 4 3 6.026080+4 0.000000+0 7.000000+4 2.595730-2 1.000000+5 6.789700-29134 3 4 4 1.109580+5 8.154218-2 1.200000+5 9.280209-2 1.400000+5 1.169208-19134 3 4 5 1.700000+5 2.576400-1 2.000000+5 2.962300-1 2.500000+5 3.310940-19134 3 4 6 3.000000+5 6.069950-1 4.000000+5 8.708590-1 5.000000+5 1.174215+09134 3 4 7 6.000000+5 1.382591+0 7.000000+5 1.600628+0 8.000000+5 1.759444+09134 3 4 8 9.000000+5 1.912822+0 1.000000+6 2.066182+0 1.100000+6 2.195859+09134 3 4 9 1.200000+6 2.315947+0 1.300000+6 2.428426+0 1.400000+6 2.530002+09134 3 4 10 1.500000+6 2.622777+0 1.600000+6 2.705058+0 1.700000+6 2.775548+09134 3 4 11 1.800000+6 2.836584+0 1.900000+6 2.884638+0 2.000000+6 2.924516+09134 3 4 12 2.300000+6 2.987962+0 2.500000+6 2.997442+0 2.700000+6 2.993395+09134 3 4 13 3.000000+6 2.970314+0 3.500000+6 2.913073+0 4.000000+6 2.851062+09134 3 4 14 4.500000+6 2.781772+0 5.000000+6 2.732638+0 5.500000+6 2.677377+09134 3 4 15 6.000000+6 2.539569+0 6.500000+6 2.047757+0 7.000000+6 1.549897+09134 3 4 16 7.500000+6 1.164572+0 8.000000+6 9.039190-1 8.500000+6 7.288950-19134 3 4 17 9.000000+6 6.160830-1 9.500000+6 5.389240-1 1.000000+7 4.855960-19134 3 4 18 1.050000+7 4.459470-1 1.100000+7 4.169740-1 1.150000+7 3.938220-19134 3 4 19 1.200000+7 3.729590-1 1.250000+7 3.562940-1 1.300000+7 3.426390-19134 3 4 20 1.350000+7 3.289966-1 1.400000+7 3.160643-1 1.450000+7 3.053659-19134 3 4 21 1.500000+7 2.935135-1 1.550000+7 2.838918-1 1.600000+7 2.745701-19134 3 4 22 1.650000+7 2.657446-1 1.700000+7 2.570301-1 1.750000+7 2.488999-19134 3 4 23 1.800000+7 2.409927-1 1.850000+7 2.336336-1 1.900000+7 2.263115-19134 3 4 24 1.950000+7 2.194001-1 2.000000+7 2.139896-1 9134 3 4 25 9134 3 099999 9.123200+4 2.300450+2 0 0 0 09134 3 16 1 -5.549200+6-5.549200+6 0 0 1 309134 3 16 2 30 2 9134 3 16 3 5.573320+6 0.000000+0 6.000000+6 1.086190-1 6.500000+6 4.958550-19134 3 16 4 7.000000+6 7.980270-1 7.500000+6 9.905260-1 8.000000+6 1.117260+09134 3 16 5 8.500000+6 1.195490+0 9.000000+6 1.250850+0 9.500000+6 1.285960+09134 3 16 6 1.000000+7 1.314650+0 1.050000+7 1.335070+0 1.100000+7 1.347980+09134 3 16 7 1.150000+7 1.359690+0 1.200000+7 1.364380+0 1.250000+7 1.328580+09134 3 16 8 1.300000+7 1.245220+0 1.350000+7 1.137660+0 1.400000+7 1.015930+09134 3 16 9 1.450000+7 8.910270-1 1.500000+7 7.786650-1 1.550000+7 6.764140-19134 3 16 10 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