REFERENCE SOURCES FOR THE CALIBRATION OF THE AUTOCORRELATION SINGLE-CRYSTAL SCINTILLATION TIME SPECTROMETER

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REFERENCE SOURCES FOR THE CALIBRATION OF THE AUTOCORRELATION SINGLE-CRYSTAL SCINTILLATION TIME SPECTROMETER V.A. MOROZOV 1, N.V. MOROZOVA 1, T. BĂDICĂ 2, D. DELEANU 2,3, D. GHIŢĂ 2, S. PASCU 2,3 1 Joint Institute for Nuclear Research, 141980 Dubna, Russia 2 National Institute for Physics and Nuclear Engineering Horia Hulubei, P.O.Box MG-6, RO-077125 Bucharest-Magurele, Romania 3 Physics Department, University Politehnica of Bucharest, RO-060042, Bucharest, Romania Received December 4, 2009 A set of nine radioactive sources were measured for calibration of the autocorrelation single-crystal scintillation time spectrometer (ASCSTS) by using the delayed coincidences method. The measurements were performed in a wide time range, from 4 ns to several hundreds µs, and for energies starting from ~ 5 kev. The focus of the present paper was to measure the low energy threshold of the nuclear radiation detection, to determine the measurable time range with ASCSTS and to check the method sensitivity. Key words: Radioactive sources, autocorrelation single-crystal scintillation time spectrometer (ASCSTS). 1. INTRODUCTION Nano- and microsecond short-lived nuclear states arising from the radioactive decay are identified in most cases with the delayed coincidence method, usually with two detectors recording excitation and de-excitation of an isomeric state. The number of true coincidences is N true ~ ω 1 * ω 2, where ω 1 and ω 2 are the solid angles corresponding to the angles at which detectors are placed; therefore, to provide the maximum true coincidence recording efficiency, the solid angle for both detectors should be ω = 4π. The simplest way to meet this requirement is to use a singlecrystal coincidence spectrometer, with the radioactive source implanted or placed in the sensitive volume of a scintillator. The single-crystal scintillation time spectrometer method, the experimental arrangement and electronics have been described in detail earlier [1 3] and will only be discussed briefly in the present paper. The autocorrelation single-crystal scintillation time spectrometry (ASCSTS) method is a version of the delayed coincidence method. The method is characterized by a high efficiency of recording coincidences resulting from the use of only one Rom. Journ. Phys., Vol. 56, Nos. 1 2, P. 113 124, Bucharest, 2011

114 V.A. Morozov et al. 2 detector that records the radiation emitted from the nucleus in a geometry close to 4π. This method allows the measurements of the half-lives for excited and ground states, in the range of 4 ns to several hundreds µs. Since plastic scintillators with short decay times provides almost 100% detection efficiency of the charged particles, the low-energy limit for detecting radiation is defined only by the electronic noise of the photomultiplier. The three-dimensional E-T-E2 mode allows energy spectra corresponding to transitions exciting and de-exciting the isomeric states to be recorded in addition to the time spectrum. This demonstrates that the autocorrelation single-crystal time spectrometer can be effectively used to search for nuclear isomeric states. 2. CHARACTERISTICS OF THE STANDARD SOURCES Since the ASCSTS technique involves analysis of energy and time correlations of nuclear radiation, it is necessary to adjust electronics in a proper way in order to achieve the optimum measurement conditions: the lowest energy threshold for the energy of the nuclear radiation that can be recorded by a detector, and a measurement of the minimal and maximal lifetimes accessible with this method. To achieve these conditions, the level of photomultiplier noise, the scintilator decay time, the pulse duration from the photomultiplier, type of the plastic scintillator and the discriminator dead time should be considered. In the present measurements, ASCSTS was based on a XP2020 photomultiplier type, a NE104 plastic scintillator type with decay time of τ = 1.9 ns and a discriminator ORTEC CFD-584. A set of standard sources that allows the recording of delayed coincidences to determine time and energy range was employed in the present work. Table 1 shows the data characterizing the standard sources. The set consists of 57 Co, 73 As, 90 Sr, 153 Gd, 169 Yb, 225 Ac, 226 Ra, 232 Th and 241 Am, including also the products of their decay. Table 1 Characteristics of the standard sources Source T ½ source 57 Co 271.8 d 73 As 80.3 d 90 Sr 2.89 y 153 Gd 241.6 d 169 Yb 32.0 d 225 Ac 10.0 d 226 Ra 1600 y 232 Th 1.4x10 10 y 241 Am 443 y Measured nucleus Level energy (kev) T ½ of level (ns) E1( kev) E2 (kev) Cascade (% per decay) 57 Fe 14.4 98.1(3) E γ = 122.1 E γ = 14.4 85.6 73 Ge 13.2 2940(30) E K (53.5)= 42.4 E L (13.2)=11.8 100 90 Zr 1760.7 61.3(25) E β = 2280 E L =1758.2 0.0115 153 Gd 103.2 3.90(3) E K (69.7)= 21.2 E K (103.2)=55.3 15 169 Tm 316.2 661(7) E L (63.1)= 53.0 E K (198)=138.6 96 213 Po 0 3700(30) E β = 1422 E α =8376 98 214 Po 0 143.5(33) µs E β = 3270 E α =7833 100 212 Po 0 298(3) E β = 2270 E α = 8784 64 237 Np 59.5 68.3(2) E α = 5389; E L (59.5) =37.4 ~ 100 5544

3 Autocorrelation single-crystal scintillation time spectrometer 115 where E1 and E2 are the energy values for the radiation populating (in brackets) and depopulating the isomeric state, respectively; E K, E L and E β characterize the energy of conversion electrons and the energy limit for β particles; E α specifies the energy range of the recorded α particles. In most cases the radioactive sources were prepared in the form of a sandwich : the radioactive liquid was dropped on the plastic scintillator and dried. On the scintillator surface a thin layer of dichloroethane was deposited and then covered with another plastic scintillator similar in shapes and dimensions with the original one. Produced on styrene base, the dichloroethane dissolved the surface layers of the scintilator, thus providing the 4π-geometry necessary for recording the nuclear radiation. 3. DETERMINATION OF THE LOW ENERGY THRESHOLD FOR THE NUCLEAR RADIATION DETECTION The energy calibration of a scintillation detector with plastic scintillator that records charged particles and gamma-rays presents some difficulties due to the poor energy resolution. To solve this problem we proceed as described below: we recorded the proper time distribution corresponding to the lifetime of the isomeric state and then increased the discrimination level up to a value for which the acquisition of the exponential distribution stops. This level corresponds to the minimum energy of the electromagnetic transition from the isomeric cascade than can be recorded. 241 Am The 59.9 kev isomeric state with a lifetime T 1/2 =67(2) ns, fed ~ 100% by α-decay of 241 Am to 237 Np is a very favorable case for a quick calibration of the scintillation spectrometer with a plastic scintillator. The energy of the conversion electrons from the 59.5 kev transition which does not exceed the energy E L =37.4 kev allows the extrapolation of the energy calibration in the low energy range. Fig. 1 shows the decay curve for the 59.5 kev state in 237 Np measured with this source and the measured value for this transition is T 1/2 = 68.3(2) ns. Fig. 2 shows the energy spectrum of 241 Am decay, and also the spectra of radiation populating and depopulating the isomeric state in 237 Np. 73 As The use of 73 As isotope was necessary to determine the low-energy threshold for detecting the nuclear radiation. Fig. 3 displays the result of the half-life measurement of the isomeric state 13.2 kev from 73 Ge (T 1/2 = 2.94(3) µs). Fig. 4 shows the energy spectra of radiations emitted in the 73 As 73 Ge decay, obtained with the ASCSTS in the present experiment.

116 V.A. Morozov et al. 4 Fig. 1. Half-life of the 59.5 kev state in 237 Np. Fig. 2. (1) The radiation spectrum for the 241 Am decay; (2) Radiation spectrum populating the isomeric states in 237 Np; (3) Radiation spectrum depopulating the isomeric states in 237 Np.

5 Autocorrelation single-crystal scintillation time spectrometer 117 Fig. 3. Half life measurement in 73 Ge. Fig. 4. (1) The radiation spectrum for the 73 As decay; (2) Radiation spectrum populating the isomeric states in 73 As; (3) Radiation spectrum depopulating the isomeric states in 73 As.

118 V.A. Morozov et al. 6 57 Co Another candidate for determining the low energy threshold for detection of the gamma-rays is 57 Co. The measurements of the half-life of the 14.4 kev in 57 Fe were performed in a geometry closed to 2π with a plastic scintillator of 25 25 mm. The radioactive source was obtained by irradiating a natural iron foil (4 µm thickness) with a proton beam at the cyclotron accelerator of NIPNE-HH, Bucharest. The radioactive source was measured in two ways: first, the source was placed at 1 mm from the surface of the plastic scintllator (curve 1 in Fig. 5) and, second, a polyethylene filter was placed between the source and plastic detector (curve 2 in Fig. 5). Fig. 5. Half life measurement of the 14.4 kev in 57 Fe. (1) Measurement performed without the filter; (2) Measurement done with the plastic filter. (3) 137 Cs reference source (random coincidences). The conversion electrons from the 14.4 kev energy transition were completely absorbed by the thick polyethylene foil (1 mm thick) filter [4]. Although a strong absorption of γ-rays having 14.4 kev energy takes place (the absorption coefficient

7 Autocorrelation single-crystal scintillation time spectrometer 119 equal to three), both curves have the same shape with a lower counting rate in the second case. The existence of the exponential distribution due to the lifetime of the 14.4 kev isomeric state from 57 Fe shows that if in the first case the recording of the isomeric cascade takes place by recording conversion electrons, gamma-rays with an energy of 14.4 kev, X-ray and Auger electrons, in the second case the exponential distribution is only due to gamma-rays with an energy of 14.4 kev. 4. DETERMINATION OF THE TIME RANGE WITH ASCSTS The measurements of the lifetimes of the isomeric nuclear states determined with ASCSTS ranges from a few ns to hundreds µs. The set of radioactive sources used covers almost entirely this time range. A special interest presents the determination of both the lower and upper limits of the lifetimes that are possible to study with ASCSTS. 153 Gd The 153 Gd source was used to demonstrate the possibility of measuring nanosecond lifetime with the ASCSTS method. The 153 Gd was a product of the tantalum target splitting by fast protons of 660 MeV at the phasotron of LNP, JINR, Dubna. After the chemical separation from the group of rare earth elements, the Tb fraction was mass-separated in order to achieve an isobar chain with A = 153. After the mass-separation the source was embedded into aluminum foil and then placed into a plastic scintillator. Fig.6 shows the results of measuring the half-life of the state with 103.18 kev (3.95(11) ns) from 153 Eu excited in the 153 Gd decay. The dead time of the discriminator used in the measurements did not exceed 10 ns and the threshold set for recording radiation was lower than 30 kev. The lifetime measured for the state with energy of 103.18 kev from 153 Eu is the lower limit for time measurements reachable with this experimental setup (for the use of the fotomultiplier XP2020 a pulse duration of 5 ns coupled with the plastic scintillator NE104). 226 Ra The reason to measure the radioactive source of 226 Ra was to show the upper limit of the time measurements reachable with ASCSTS. The half-life of the ground state of 214 Po was measured. The isotope 214 Po is a member of a long radioactive chain starting with 226 Ra: 226 Ra α 222 Rn α 218 Po-α- 214 Pb-β- 214 Bi-β- 214 Po-α- 210 Pb and has a half-life T 1/2 = 157.6 (33) µs. The result of the performed measurement is shown in Fig. 7. In this way it was proved that the ASCSTS method (the particular setup XP2020 photomultiplier and NE104 plastic scintillator) can be used for measuring a large range of life-times spanning more than four orders of magnitude, ranging

120 V.A. Morozov et al. 8 from ~ 4 ns to a few hundreds of µs. The following radioactive sources 169 Yb, 225 Ac and 232 Th were measured for a complete study along the entire time range achievable with ASCSTS and to demonstrate the usefulness of the method for measuring lifetimes in nuclei belonging to long radioactive chains. Fig. 6. Half life of the 103.18 kev state in 153 Eu. Fig. 7. Half life of the 214 Po measured in α-decay to 210 Pb.

9 Autocorrelation single-crystal scintillation time spectrometer 121 169 Yb The results of the half-life measurements of the 316.15 kev excited state in 169 Tm, (T 1/2 = 661(7) ns) are shown in Fig. 8. Low energy radiation was recorded with a plastic scintillator (25x25 mm) in 2π geometry applying an energy threshold E 30 kev. The 169 Yb source was prepared in the same way as the 153 Gd source. Fig. 8. Decay spectra for the ground and isomeric states. (1) Time spectrum for 213 Po excited in 225 Ac decay; (2) Decay spectrum for 169 Tm from 169 Yb; (3) Time spectrum for 212 Po excited in 232 Th decay. 225 Ac and 232 Th The half-lives of the ground states of the 213 Po and 212 Po were measured using a source of a complex isotopic composition. 213 Po and 212 Po are two members in the radioactive chain beginning with 225 Ac and 232 Th respectively. In the first case, the source was extracted from the 229 Th source by the ionexchange method and dried on a plastic scintillator. The observed time distribution with T 1/2 = 3.65 µs was assigned to the 213 Po ground state decay [5]. To determine the ground state half-life of 212 Po the source was prepared as follows: an aqueous solution of thorium nitrate was deposited onto the surface of a plastic scintillator (6 mm thick with a 10 mm diameter) and dried. The scintillator surface was covered with styrene and bond together to another scintillator of the same type and shape to ensure the 4π geometry. Around 10 mg of thorium were applied [6]. Fig. 8 displays the time spectra characterizing both the 213 Po and 212 Po half-lives.

122 V.A. Morozov et al. 10 5. SENSITIVITY OF THE METHOD Besides the key features of the method, a low threshold for radiation energy and a long time range for life-time measurements, another important issue is to demonstrate that the ASCSTS method has a good sensitivity for recording the delayed coincidences. The method sensitivity depends on several factors: the efficiency of the spectrometer to record the radiation, the detection solid angle and the measurement time interval. Using 4π geometry gives the ability to study the low intensity isomeric cascades. The recording efficiency of the delayed coincidences can be evaluated in two ways: by using the experimental exponential time distribution or by evaluating the intensity of the delayed gamma-rays with an additional HPGe detector along with the ASCSTS spectrometer. To prove the method sensitivity (for this particular setup) two measurements were performed for 90 Sr and 229 Th. 90 Sr The first measurement, shown in Fig.9, verifies the possibility to measure the life-time of an isomeric cascade which is de-excited through a very weak transition. The 1760.7 kev isomeric state (T 1/2 = 61.3 ns) is populated in beta decay of 90 Y (coming from β-decay of 90 Sr) and is de-excited through an E0 transition with the energy of 1760.7 kev and an intensity of 0.0115% to the ground state of 90 Zr. Fig. 9. Time spectra for the decay of 90 Sr. The level of random coincidences is shown by the decay of 60 Co. 229 Th The second measurement shows the intensity of the delayed gamma rays emitted in beta decay of 213 Bi which is a member of the long radioactive chain starting with 229 Th. We used a semiconductor HPGe detector (without any shielding) with 10% efficiency. The experiment with HPGe detector and a 229 Th

11 Autocorrelation single-crystal scintillation time spectrometer 123 source was 22 hours long. The ASCSTS counting rate was ~1300 counts/s and that of the HPGe detector (source + background) was ~170 counts/s (80 counts/s + 90 counts/s). The coincidence spectrum features distinct γ-lines coming from the 213 Bi 213 Po decay [5] (Fig.10). These lines are distinct against a very complex γ-spectrum from the decay of 12 nuclei ( 229 Th chain) and from the background radiation with the admixtures from the radioactive 232 Th chain nuclei and 226 Ra, 137 Cs, 60 Co and 40 K nuclei. Table 2 presents experimental intensities belonging to the β-decay of 213 Bi in accordance with well-known data [6]. Fig. 10. Gamma spectrum for the coincidences of the 213 Bi decay. Table 2 Gamma-rays from 213 Bi decay. E γ (kev) I γ (%) [7] I γ (%) [5] S( S) S/ε x 10 3 experiment) I γ (%) (present 292.76 0.42(2) 0.39(2) 655(64) 81(8) 0.31(4) 440.43 26.1(3) 24.6(15) 35070(195) 6810(38) 26.1(2) 659.77 0.036(2) 0.44(3) 30(12) 9(3) 0.035(11) 710.81 0.010(1) 0.0119(10) 12(7) 4(2) 0.015(8) 807.38 0.241(15) 0.238(18) 185(16) 70(6) 0.27(2) 867.98 0.011(1) 0.0123(11) 15(8) 6(4) 0.023(13) 1003.55 0.050(5) 0.053(3) 23(6) 11(3) 0.04(1) 1110.02 0.259(16) 0.251(17) 115(11) 59(6) 0.23(2) 1119.29 0.050(3) 0.051(3) 20(5) 11(3) 0.04(1) S is the number of counts and ε is the recording efficiency coefficient of the HPGe detector.

124 V.A. Morozov et al. 12 6. CONCLUSIONS Thus the set of radioactive sources with known transition energies and halflives of nuclear isomeric states made possible the time and energy calibration of the spectrometer. The present paper proves that by employing the ASCSTS method an energy calibration can be performed down to 5 kev. Also, the time calibration can be done in the interval ranging from 4 ns up to at least 200 µs. Acknowledgements. The authors are grateful to prof. N.V. Zamfir and prof. V.B. Brudanin for their continuous support. This work has been supported in part by National Research Program UEFISCSU-CNCSIS, ID 654. REFERENCES 1. V.A. Morozov, N.V. Morozova, Yu. V. Norseev, Zh. Sereeter, V.B. Zlokazov, Nucl. Instr. and Meth. A 484, 225 (2000). 2. V.A. Morozov, N.V. Morozova, Phys. Part. Nucl. 32(2), 198 (2001). 3. V.A. Morozov, N.V.Morozova, T. Bǎdicǎ, Gh. Cǎta-Danil, D. Ghiţǎ, I.V. Popescu, Nucl. Instr. Meth. A566, 448 (2006). 4. Bicron Catalog, http://www.bicron.com. 5. Firestone R.B., Table of Isotopes, VII. John Willey & Sons, INC (1996). 6. V.A. Morozov, N.V. Morozova, V.G. Kalinnikov et al., Inst. Exp. Tech. 41, 614 (1998). 7. PAW, The Complete References. Version 2.03, CERN Program Library Long Writeup Q121, 1993, CERN Geneva, Switzerland.