Handbook for calculations of nuclear reaction data

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1 1AEA-TECDOC-134 XA ?/ Handbook for calculations of nuclear reaction data Reference input parameter library Final report

2 The originating Section of this publication in the IAEA was: Nuclear Data Section International Atomic Energy Agency Wagramer Strasse

3 The IAEA does not normally maintain stocks of reports in this series. However, microfiche copies

4 FOREWORD Nuclear data for applications constitute an integral part of the IAEA programme of activities. When considering low-energy nuclear reactions induced with light particles, such as neutrons, protons, deuterons, alphas

5 The Starter File contains numerical data arranged in seven segments/directories: No Directory Contents 1 MASSES Atomic Masses

6 CONTENTS INTRODUCTION...

7 Introduction...

8 An important trend INTRODUCTION

9 A continuum.--

10 The fission cross section calculation strongly depend on two key ingredients: the fission level density (the level density of the fissioning nucleus at the saddle point deformation), and

11 1 Atomic Masses and Deformations XA Coordinator: M.B. Chadwick Summary This chapter discusses recommendations

12 E? CD C LLJ O 1 'a. o -1 a> o o -1

14 calculated ground-state microscopic energy, given by the difference between the calculated ground-state atomic mass excess

15 [1.1] REFERENCES

16 2 Discrete Level Schemes XA Coordinator: G.L. Molndr Summary An entirely new discrete levels segment has been created by the Budapest group according

17 A single recommended DLSS file has to be created on the basis of the Evaluated Nuclear Structure Data File, ENSDF,

18 The original ENSDF file (update as of 23 February 1996) contains 16,234 adopted levels for 2,87 nuclei within the range A = I - 266, Z = There are 148,129 adopted gamma transitions

19 Table 2.1: Distribution of levels according to energy uncertainty bins. AE levei (kev) Number 5. >4. >3. >2. > 1. > Total

20 associated with the minimal value of % 2 determines in turn the cutoff energy, Umax-, above which

21 U = 362 HeV = 2417 UeV 4 6 E (UeV)

22 r ^ i Even-Even Model: CD \- 2-\ - 2- CD i, -2-J o ID -4H -6

23 r I ' o I ' I Odd-Even Model: CD 2 A a -a o' -4-I -6

24 Needless to say that the applied model is very crude and it has been meant only for finding

25 Table 2.3: Data statistics for the Discrete Level Schemes Segment file budapest_levels.dat. Mass region All Nuclei

26 Table 2.4: Format description

27 File: bologna.dat rovided

28 2.4 Conclusions

29 [2.6] NUDAT database, version

30 XA

31 where the summation is performed over N resonances in the energy interval AJ5, g r = (2J r + l)/2(2/o 4-1) is the statistical weight factor that depends on the angular momentum J r of a resonance and the spin /o of the target nucleus; T l nr are the reduced neutron widths of resonances,

33 1' 2 : f - i i " ) < o Q io- 3 2;

34 1 II I CO.1 BNL Beijing Obninsfe Figure 3.3: The s-wave neutron strength functions evaluated by BNL (squares), Beijing (+) and Obninsk (circles) groups. Uncertainties A

35 1 CD BNL

36 Table 3.1: Table

37 Table3.1.(Cont.) Ni Ni Ni Ni Ni Ni Cu Cu Zn Zn Zn Zn Zn Ga Ga Ge Ge Ge Ge Ge As Se Se Se Se Se Se Br Br Kr Kr Kr Kr Rb Rb Sr Sr Sr Sr Y Zr Zr Zr Zr Zr Zr Nb Mo Mo E+1 2.E+ 1.38E+1 2.1E+ 1.6E E+1 3.3E-1 1.3E+ 3.59E+ 4.62E+ 4.E E+ 7.2E+QO 3.5E-1 3.8E-1 8.9E-1 l.ooe+ 6.2E-2 3.E+ 4.5E+ 7.7E-2 3.4E-1 6.5E-1 1.1E-1 2.E-1-2.E+ 5.E+ 4.7E-2 1.5E-1 2.5E-1 2.5E-1 2.E-1 4.5E-1 1.7E-1 1.8E+ 3.2E-1 2.6E+ 2.9E-1 2.7E+1 3.7E4-6.E+ 5.5E-1 3.5E+ 1.6E-1 3.2E+ 1.3E+1 8.E-2 2.7E+ 1.32E+ 9.E-1 7.E-1 9.E-1 1.5E-1 3.E+ 3.E+ 4.E-2 1.1E-1 1.6E-1 5.5E-1 6.E-2 4.3E-1 8.E-1 6.E-2 6.E-2 2.4E-1 3.E-1 1.5E-2 l.ooe+ 1.5E- 8.E-3 8.E-2 l.ooe-1 3.E-2 5.E-1 8.E-1 2.5E+ 5.E-3 1.5E-2 8.E-2 6.E-2 l.ooe-1 1.7E-1 3.E-2 3.E-1 1.2E-1 8.E-1 8.E-2 6.E+ 4.E-1 1.4E+ l.ooe-1 8.E-1 1.5E-2 8.E-1 3.E+ l.ooe-2 5.E-1 1.8E [3.24] [3.2] [3.24] [3.2] [3.2] [3.2] [3.2] [3.2] [3.25] [3.25] [3.2] [3.25] [3.25] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2]

38 Table3.1.(Cont.) Mo Mo Mo Mo Mo Tc Ru Ru Ru Ru Rh d d d d d d Ag Ag Cd Cd Cd Cd Cd Cd Cd Cd In In Sn Sn Sn Sn Sn Sn Sn Sn Sb Sb Te Te Te Te Te Te Te I I Xe E-1 1.5E+ 7.5E-2 l.ooe-foo 8.E E-2 2.5E-2 1.8E-2 5.5E-1 3.E-1 3.2E-2 7.8E-2 1.3E-2 2.7E-1 1.1E-2 9.E-2 1.5E-1 2.2E E E-1 1.2E E-1 2.E-2 1.9E E E-1 3.9E-1 1.3E-2 9.5E E E E-1 5.5E-2 4.8E-1 9.E E+ 9.3E+ 1.3E-2 2.4E-2 8.2E-2 1.7E-2 1.9E-1 3.8E-2 5.5E-1 7.4E-1 1.5E+ 1.5E-2 3.E-2 2.5E-1 l.ooe-2 2.E-1 2.E-2 2.E-1 1.5E-1 1.8E-3 4.E-3 3.E-3 1.5E-1 7.5E-1 4.E-3 9.E-3 5.E-4 9.E-2 9.E-4 2.E-2 5.E-2 4.E-3 1.4E-3 3.5E-2 3.E-2 2.E-2 4.E-3 2.5E-2 2.6E-3 3.5E-2 9.E-2 3.E-3 5.E-4 5.2E-2 1.6E-1 9.8E-2 5.E-3 9.E-2 2.E-2 2.E-1 9.E-1 2.E-3 3.E-3 2.E-2 3.E-3 2.E-2 5.E-3 l.ooe-1 1.5E-1 5.E-1 3.E-3 3.E-3 l.ooe [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.8] [3.8] [3.2] [3.31] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.26] [3.26] [3.26] [3.26] [3.26] [3.27] [3.26] [3.26] [3.2] [3.2] [3.28] [3.28] [3.28] [3.28] [3.28] [3.28] [3.29] [3.3] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2]

39 Table3.1.(Cont.) Xe Xe Xe Xe Cs Cs Ba Ba Ba Ba Ba Ba La La Ce Ce Ce r Nd Nd Nd Nd Nd Nd Nd Nd m Sm Sm Sm Sm Sm Sm Sm Sm Eu Eu Eu Eu Eu Gd Gd Gd Gd Gd Gd Gd Tb Dy E-2 2.3E-1 4.9E E-1 2.1E-2 1.6E-2 5.8E E-1 4.E E-1 2.6E E+1 3.2E-2 2.2E-1 5.E-2 3.1E+ 1.1E+ 1.1E-1 8.6E-1 3.5E-2 4.5E-1 1.7E-2 2.9E-1 3.5E E E-1 5.2E-3 6.7E-1 5.1E-3 l.ooe-1 2.1E-3 4.6E-2 1.4E-3 4.8E E-1 7.3E-4 5.6E-4 1.1E-3 9.2E-4 4.3E-3 1.4E E-2 1.7E-3 3.E-2 4.9E-3 8.2E-2 2.E-1 4.2E-3 2.7E-2 5.E-3 6.E-2 1.5E E-1 2.E-3 3.E-3 l.ooe-2 1.1E-2 6.E-3 3.4E-2 5.E-2 2.9E+ 6.E-3 4.E-2 2.E-2 5.E-1 5.E-1 2.E-2 8.E-2 5.E-3 5.E-2 3.E-3 5.E-2 1.7E-3 2.E-2 2.E-2 1.2E-3 6.E-2 5.E-4 2.E-2 3.E-4 8.E-3 1.5E-4 5.E-3 1.5E-2 7.E-5 l.ooe-4 2.E-4 1.2E-4 1.5E-3 3.E-3 1.5E-3 2.E-4 6.E-3 5.E-4 6.E-3 2.E-2 3.E-4 5.E [3.2] [3.2] [3.2] [3.31] [3.2] [3.2] [3.33] [3.33] [3.24] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.34] [3.2]

40 Table3.1.(Cont.) Dy Dy Dy Dy Ho Er Er Er Er Er Er Tm Tm Yb Yb Yb Yb Yb Yb Yb Yb Lu Lu Hf Hf Hf Hf Hf Hf Ta Ta Ta W W W W W Re Re Os Os Os Os Os Os Ir Ir Ir t E-3 6.2E-2 6.8E-3 1.5E-1 4.2E-3 6.5E-3 2.1E-2 3.8E-2 4.2E-3 l.ooe E-1 8.5E-3 3.9E-3 2.2E E-3 5.8E E-3 7.3E E E E-1 6.5E E-3 1.8E-2 3.E-2 2.4E-3 5.7E-2 4.6E-3 9.4E-2 1.2E-3 4.2E-3 3.5E-3 2.E-2 6.E-2 1.2E-2 7.E-2 8.5E-2 3.1E-3 4.1E-3 2.9E-2 4.E-3 4.7E-2 3.4E-3 7.E E-1 2.5E-3 7.E-4 7.E-3 2.8E-2 2.E-4 5.E-3 6.E-4 l.ooe-2 5.E-4 1.5E-3 4.E-3 3.E-3 3.E-4 l.ooe-2 2.E-2 7.E-4 l.ooe-3 5.E-3 l.ooe-4 2.6E-3 4.8E-4 2.6E-3 9.3E-4 1.8E-2 1.9E-2 1.5E-4 8.5E-4 5.E-3 7.E-3 3.E-4 6.E-3 3.E-4 1.5E-2 2.E-4 3.E-4 7.E-4 7.E-3 6.E-3 l.ooe-3 7.E-3 8.E-3 3.E-4 3.E-4 3.E-3 6.E-4 6.E-3 4.E-4 l.ooe-2 l.ooe-2 5.E-4 2.E-4 2.E-3 l.ooe [3.2] [3.2] [3.2] [3.2] [3.35] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.2] [3.36] [3.36] [3.36] [3.2] [3.2] [3.2]

41 Table 3.1. (Cent.) t t t t Au Hg Hg Hg Hg Tl Tl b b b b Bi Ra Th Th Th Th a a U u U u u u u Np u u u u u u Am Am Am Cm Cm Cm Cm Cm Cm Cm Bk Cf Cf E-1 1.8E-2 3.5E-1 3.4E E-2 1.5E-1 8.E-2 2.E+ 9.E-2 2.8E-1 5.5E+ 2.E+ 3.2E+1 3.8E+1 l.ooe+3 4.E+ 2.6E-2 5.E-3 6.2E-4 9.6E E-2 4.5E-4 7.E-4 4.6E-3 5.5E-4 1.2E-2 4.3E-4 1.5E-2 3.5E-3 2.8E-2 5.7E-4 9.E-3 2.2E E-2 7.3E E-2 1.7E-2 5.8E-4 4.E-4 7.3E-4 1.4E-2 7.5E E-2 1.3E-3 3.E-2 1.8E-3 2.8E-2 1.1E-3 7.E-4 2.7E-2 8.E-2 3.E-3 l.ooe-1 9.E-2 9.E-4 3.5E-2 3.E-2 l.ooe+ 3.E-2 5.E-2 1.5E+ 5.E-1 6.E+ 8.E+ 7.E-1 6.E-3 3.E-3 1.2E-4 1.5E-3 6.E-4 5.E-5 l.ooe-4 7.E-4 5.E-5 8.E-4 2.E-5 l.ooe-3 8.E-4 3.E-4 3.E-5 l.ooe-3 5.E-5 7.E-4 8.E-5 1.5E-3 5.E-3 4.E-5 8.E-5 6.E-5 3.E-3 1.5E-4 1.2E-3 2.E-4 5.E-3 3.E-4 5.E-3 l.ooe-4 l.ooe-4 4.E

42 The results of the radiative width evaluations obtained by Beijing and Obninsk groups are very close (Fig. 3.4).

43 [3.1] C.E. orter REFERENCES

44 [3.23] C.M. erey

45 _ J.,,,,, A XA Optical Model arameters Coordinator:.O. Young Summary This chapter contains

46 File we have focused on standard, Schrodinger-type forms of optical model potentials, and have included spherical, coupled-channel rotational,

47 This formulation is activated by setting ais >. The second special form is necessary to represent the potential determined in an extensive analysis

49 1. OMSUMRY a Fortran code that reads the losalamos_omlib.dat file and produces a summary of the authors, reference, and descriptive information for the entire file; 2. OMTABLE a Fortran code that makes an abbreviated summary of the losalamos_omlib.dat file together with

50 12

51 5. 4. I <D Wilmore and Hodgson,

52 3. Extensive checking

53 REFERENCES [4.1] O. Bersillon, Report CEA-N-2227 (1978), and in roc. ICT Workshop on Computation

54 Annex

55 Definitions iref author = unique fixed point reference number for this potential

56 if pot(i,j,k>17).eq., then,j,l)

57 ncoll Imax idef = number of collective states in the coupled-channel rotational model for this iz, ia = maximum 1 value for multipole expansion

58 Annex B REFERENCE NUMBERING SYSTEM DEFINITION ===> IREF

59 Annex C EXAMLE OF A OTENTIAL 6 G. Vladuca,

61 SUMMARY Annex D

62 TABLE D-1.(CONT.) n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n spher. spher.

63 TABLE D-1.(CONT.) spher. spher

64 TABLE D-1.(CONT.) ' d d d d d d t t t t t t t t t t t t t CC rot. CC rot. CC rot. CC rot.

65 TABLE D-1.(CONT.) t t t t t t t t t t t t t 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He 3He

66 TABLE D-1.(CONT.) He 3He 3He 3He 3He 3He 3He 4He 4He 4He 4He 4He 4He 4He

67 32. R.Macklin and.g.young, Nucl.Sci.Eng. 97, 239 (1987) 33..G.Young, LANL rogress Report LA R (199) p R.L.Varner.W.J.Thompson,T.L.McAbee.E.J.Ludwig,T.B.Clegg, hys.rep. 21,57 (1991) 35. R.L.Walter

68 5 Level Densities XA Coordinator:

69 5.1.1 Introduction

70 <J nr (5.4) where mo is the nucleon mass, TO is the nuclear radius parameter, A is the mass number and (3 S defines the surface component of the single-particle level density. Differences between various semi-classical determinations of the parameters (5.3) and (5.4) are mainly connected with large uncertainties of evaluation of/3 S [ ]. The most direct information on the level density of highly-excited nuclei is obtained from the average parameters

71 35 r ' <D CO

72 15-1- X D 5-,_I > 1 1 > -2

73 a definition of the level density parameters was combined with the analysis of experimental data on

74 .2 I o.15 <.1 ra.5 + Iljinov et al, 1992 o Mengoni-Nakajima, H I- 2 e -2 _o I ^ o ^ -6-1 H I h H I I H H Io Myers-Swiatecki, 1967 o oo Figure 5.3: Ratio of the level density parameter a to the mass number A (upper part) and the shell corrections to the nuclear binding energies (lower part) Back Shifted Fermi Gas Model Another approach

75 B

76 Results of the corresponding analysis of the neutron resonance densities and low-lying nuclear levels

77 where n =, 1 and 2 for even-even, odd and odd-odd nuclei, respectively. Above the critical energy the level density and other nuclear thermodynamic functions can be described by the Fermi gas relations in which the effective excitation energy is defined as U*

78 damping

79 systematics of the level density parameters [5.28]. The basis of the systematics is the relation, similar

80 1 3 -, b) c QQ X 1 r\ 2 1 =. <<j o # ^f,

81 ^ 2 + Beijing. 15 CD "a. E 1 w cp cc J 1. w.5.

82 5.1.5 Microscopic Generalized Superfluid Model A more rigorous description of the level densities and other statistical characteristics of excited nuclei can be obtained in the framework of calculations performed with the realistic schemes of single-particle levels. The methods of such calculations are considered in details in the monograph [5.27].

83 The single-particle level schemes and ground state deformations obtained in Ref. [5.4] are tabulated in the database mollerjevels.gz. This set of single-particle level schemes was in ;luded

_,-,.. T. _... XA9848141 5.2 Fission Level Densities Coordinator: V.M.

84 _,-,.. T. _... XA Fission Level Densities Coordinator: V.M. Maslov Summary Fission level densities (or fissioning nucleus level densities at fission saddle deformations)

85 fissioning nuclei step-like structure of the K% parameter, defining the angular anisotropy of fission fragments, is interpreted as being due to few-quasi-particle excitations. These excitations

86 Table 5.1: Constant temperature model parameters. arameter

87 .152OC,-A 2, where A is the correlation function; a is the asymptotic a-parameter value at high excitation energies.

88 nuclei).

89 Table 5.3: Transition spectra band-heads of even-even nuclei. K* inner saddle outer saddle E%,, MeV $? *, MeV K* E K «, o-.4.4 o ~ ~ + +

90 234 U, OUTER SADDLE RESENT AROACH - MODIFIED CTM AROACH 4 (U) 3 n=2 n=4 n=6 n= EXCITATION ENERGY,

91 239 u, INNER SADDLE - MODIFIED CTM AROACH

92 Nuclide 23 Th Table 5.7: Fission barrier parameters. 231 Th 232 Th 233 Th 23p a 231 a 232p a 233p a 234p a 231 U 232 U 233 u 234 u 23 5u 236 u 237 U 238 U 239 u 236 N 237 Np 238 N 237p u 238p u 239p u 24p u 241 u 242p u 243p u 244p u 245p u

93 5.3 artial Level Densities XA Coordinator: M.B. Chadwick Summary Methods

94 strictions

95 5.3.4 Microscopic Theory Most semi-empirical approaches to calculating partial level densities are based on various simplifying approximations.

96 [5.11]

97 [5.38] Lu Guoxiong, Dong Liaoyuan, Huang Zhongfu, Qiu Guochun, Su Zongdi, Contribution

98 [5.64] V.M. Maslov, Ann. Nucl. Energy

99 6 Gamma-Ray Strength Functions XA Coordinator: J. Kopecky Summary Gamma-ray strength functions are important for description of the gamma emission channel in nuclear reactions. This

100 reactions, have been recently reviewed and updated with new data [6.12, 6.13, 6.14] together with their uncertainties. The individual experimental values have been used to test directly different strength function models, in particular for El radiation (see e.g. Ref. [6.15]). Further they resulted in derived global systematics of f^\ and /MI values as a function of atomic mass

101 For the dominant El radiation the standard Lorentzian model severely overestimates the experimental data

102 In the mass and energy region considered (A > 1, E n < 3 MeV) charged particle emission can be neglected. Neutron optical potentials were taken from the literature and eventually slightly modified in order to improve the reproduction of total cross sections and (neutron) strength functions. For strongly deformed nuclei the neutron transmission coefficients were generated

103 Figure 6.1: 2 2

104 ii) interpolated from experimental values

105 Double

106

107 thermal capture data

108 1e-6 1e-7 1e Figure 6.3: lot of /EI values [full circles (n re5,7), open circles (7,n) and squares (n f /,,7)] against MASS

109 Only in two original references the nonstatistical origin of data was identified Systematics

110 parameters

111 [6.8] J. Kopecky, M. Uhl and R.E. Chrien, hys. Rev. C47, 312 (1993). [6.9] M. Uhl and J. Kopecky, roc.int.conf. Nuclear Data for Science and Technology, Gatlinburg, (American Nuclear Soc., La Grange ark, 1994), p [6.1]

112 [6.32] Liu Jianfeng, Su Zongdi and Zuo Yixin, contribution to the 2nd CR Meeting on Development of Reference Input arameter Library for Nuclear Model Calculations of Nuclear Data, INDC(NDS)-35, March [6.33] Sub-library

113 [6.53]

114 7 Continuum Angular Distributions XA Coordinator: M.B. Chadwick Summary This chapter discusses methods

115 and hybrid models,

116 data

7.2.3 reequilibrium Angular Distribution Formula In the exciton model the emission rate from the r preequilibrium stage containing p particles and h holes, leaving p T particles

117 7.2.3 reequilibrium Angular Distribution Formula In the exciton model the emission rate from the r preequilibrium stage containing p particles and h holes, leaving p T particles and h T holes in the residual nucleus, is obtained by applying detailed balance. By explicitly conserving linear momentum we obtain an angle-dependent rate for emission with energy

118 component. The variable "a" that she parameterized by comparisons with many measurements can be understood as an averaged value of a n over all preequilibrium stages.

119 9 Zr(p,n),E p =45 t-l w > <D a TJ b TJ 1-1

120 1 1 -c- 1 U CD lio" at3 LU I io- 2 1"

121 Nem

122 REFERENCES [7.1] C. Kalbach, hys. Rev. C37, 235 (1988). [7.2] M.B. Chadwick,.G. Young and S. Chiba, J. Nucl. Sci. Tech. 32, 1154 (1995). [7.3] M.B. Chadwick

123 Appendix

124 GAMMA ANGULAR RECOMMENDED OTHER_FILES RECOMMENDED OTHER FILES The above tree shows the sequence of directories in a way the RIL Handbook is arranged, rather than

125

126 moller.readme all.readme beijing.dat beijing.readme 3aeri_deform.dat jaeri.readme Recommended file Other file, Other file, Other file Other file, Other file readme for all files listed below masses only deformations only 2. LEVELS: Discrete Level Schemes File name budapest.readme budapest_levels.dat budapest_cumulative.dat all.readme beijing.dat beijing.readme bologna.dat bologna.readme jaeri.dat jaeri.readme livermore.dat livennore.readme obninsk.readme obninsk_branchings.dat obninsk_levels.dat Comment Recommended file Recommended file, discrete level schemes Recommended file, cumulative number of levels Other Other Other Other Other Other Other Other Other Other Other Other file, readme for all files listed below file, discrete level schemes file file, file file, file file, file file file, file,

127 4. OTICAL: Optical Model arameters File name losalamos.readme losalamos_omlib.dat Comment Recommended file Recommended file, optical model potentials all.readme beijing.dat beijing.readme jaeri.dat jaeri.readme losalamos.readme Other file, Other file, Other file Other file, Other file Other file readme for all files listed below potentials collected

128 moller.readme moller_levels.gz moller_levels.for obninsk_micro.for obninsk_micro.readme Other file Other file, single-particle levels, compressed Other file, retrieval code for moller_levels.gz Other file, code, microscopic total level densities Other file

129 7. ANGULAR: Continuum Angular Distributions File name all.readme kalbach.readme kalbach_systematics.for Comment Recommended file, readme for all files below Recommended file Recommended file, code

130 Appendix II XA EXERIENCE AT LOS ALAMOS WITH USE OF THE OTICAL MODEL FOR ALIED NUCLEAR DATA CALCULATIONS (Report LA-UR ).G. Young

131 av), ( W D. r D, ao), and (V so, rso, aso) indicating the real central, volume imaginary, surface derivative imaginary,

132 All other parameters

133 For deuterons, tritons,

134 Table 2. Spherical optical model potentials for

135 Table 3. Spherical optical model potentials for 54-56p e + n calculations over the incident neutron energy range

136 Table

137 Table 6. Spherical optical model potentials for proton and neutron reactions on Sr, Y, and Zr isotopes in the vicinity of A = 9. At energies above the maxima indicated, the global potential

138 IV. REGIONAL

139 Table 8. Deformed optical potential for proton and neutron reactions on W isotopes over the energy range 1 kev to 1 MeV. Well Depth (MeV) Range(MeV) Geometry (fm) V R = ± 16ri + AV c -.25E < E < 1 r R =1.26 a R =.61 W D

140 Table

141 Table 12. Coupled-channels optical model potential for

142 phenomenology with

143 n

144 Table

145 12. D. G. Madland, personal communication, December,

146

147 Appendix III XA STATUS

148 Table

149 For 14 N and 16 O, the neutron potentials are taken from Arthur 5 below 2 MeV for 14 N and below 1 MeV for 16 O, and from Islam et al. 8 in the energy range 2-6 MeV for I4 N and 1-5 MeV for 16 O. At higher energies, the Madland Semmering potential 7 is again employed. The Lane isospin model is again used to determine the proton potentials. The parameterizations of these potentials

150 Table 2. Spherical optical model potentials for neutron and proton reactions with 14 N over the incident energy range 1 kev < E n>p < 1 MeV. Above an energy of 6 MeV, the Madland global potential 7

151 Table3. Spherical optical model potentials

152 Table 4. Spherical optical model potentials for Fe + n calculations over the incident neutron energy range

153 Table6. Spherical optical model potentials for neutron reactions on Ti isotopes over the incident neutron energy range 1 kev < E n < 2 MeV. NEUTRONS

154 Ui ON CROSS SECTION (b/sr) CROSS SECTION (b/sr) ffq 3*1" 3 1' 2 TO 6. EJ a. Di 5. cr c o o CJl m (X) rt> n c q o p ro o 1 o C/> p S o I o KJ CJl 3" CD CD oj COCO Sr^CJi goo l~~ Ic? CD a. o 8 3 Q. I o CJl o I o -J CJl o

155 nat Fe+n Total Cross Section o CO 2 (J _ 1995 OptMod OptMod. x eterson O O

156 CO 59 Co(n,xa) Cross Section -I- o CO CO CO o cr o oo 1995 Opt.Mod Opt.Mod. o Kneff, 1986 o Dolya, 1977 x Fischer, 1986 A Mannhart.

157 Co+n Total Cross Section 1995 OptMod OptMod. eterson, Cierjacks, 1969 Foster, <o 59 Co+n Nonelastic Cross Section o CO - CO o CD ci

158 y< n CROSS SECTION cr. o 3. 3 o C/> Q. 3 a. n n u> > rc o 3

159 ere CROSS SECTION o\

160

161 Table 8 Spherical optical model potentials for neutron reactions on Ni isotopes over the incident neutron energy range 1 kev < E n < 2 MeV, and proton and alpha energy ranges from effective threshold to 2 MeV. NEUTRONS TO 2 MeV Well Depth (MeV) V R = E n

162 Table 9 Coupled-channels optical model and deformation parameters for neutron reactions with Am isotopes to 3 MeV. The lowest five members of the ground-state rotational band

163

164 12. E. D. Arthur,. G. Young, and W. K. Matthes, "Calculation of 59 Co Neutron Cross Sections Between

165 Bersillon,

166 Kopecky, J. Maslov.V.M. JUKO Research Kalmanstraat 4 NL-1817HXAlkmaar Netherlands juka@wxs.nl Radiation hysics Molnar. G. Oblozinsky,. (Scientific Secretary) Reffo. R. Su.Z. Uhl. M. (t)

Spin Cut-off Parameter of Nuclear Level Density and Effective Moment of Inertia

Commun. Theor. Phys. (Beijing, China) 43 (005) pp. 709 718 c International Academic Publishers Vol. 43, No. 4, April 15, 005 Spin Cut-off Parameter of Nuclear Level Density and Effective Moment of Inertia