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The complex scaling method is one of the powerful tool in wide areas of physics, particularly in nuclear physics. In the first stage, its advantage was mainly pointed out for description of the resonance states in the composite systems. In the last decide, the usage of this method has increased not only to obtain information on resonance states but also to determine scattering quantities in the observables. To determine the presence of many resonant states at the wave is not easy and complex scaling method can be used to determine the obtain many resonant states. The simple schematic two-body model is applied for study of many resonant states. Applying the complex scaling method, we can easily obtain several resonance states even with a wide and a sharp decay widths simultaneously. In this work, one bound and five resonance states for J^π=0^+ wave and one bound and four resonance states for J^π=1^- wave are reported.
We apply the complex scaling method to the calculation of scattering phase shifts andextract the contributions of resonances in a phase shift. The decomposition of the phase shiftis shown to be useful in understanding the roles of resonant and non-resonant continuumstates. We apply this method to the two-body alpha nucleon systems. We discuss the explicitrelation between the scattering phase shifts and complex-energy eigenvalues in the complexscaling method via the continuum level density. The results provide us with deeperunderstanding of the role of resonant states characterized by the widths described as animaginary part of the eigen-energy
The peak produced by the M1 and E1 transition strengths for the photodisintegration cross section of deutron is calculated in the complex scaling method and the origin of the peak of the M1 srtength near threshold energy is discussed
The peak produced by the M1 and E1 transition strengths for the photodisintegration cross section of deuteron is calculated in the complex scaling method and the origin of the peak of the M1 strength near threshold energy is discussed.
Mongolia intends to build its first nuclear research reactor with main purpose of producing radioisotopes and other useful applications. However, technical specifications of research reactor have not decided and reached consensus among the scholars and decision makers. Thus, this paper presents results of preliminary neutronic analysis on three different cores at three different power level.
We present our recent results of the mirror nuclei 5He and 5Li obtained by analyzing structure of continuum states in the complex scaled α + N two-body model. Decomposed scattering cross section and continuum level density of α + N system are discussed.
The purpose of this work is to investigate the reliability of the virtual state solutions in the CSM as comparing with the solutions of the Jost function method. To investigate the structure of the virtual state, we calculate the energy eigenvalues, phase shifts and photodisintegration cross section of the two-body model with a two-range Gaussian potential by changing the strength of the attractive potential.
Монгол улс анхны цөмийн судалгааны реакторыг эмнэлгийн зориулалттай цацраг идэвхт изотоп үйлдвэрлэх, шаардлагатай хүний нөөцөө бэлтгэх зориулалттай ашиглахаар төлөвлөж байна. Уг судалгааны реакторын техникийн үзүүлэлт ямар байх асуудал дээр эрдэмтэн судлаачид болон шийдвэр гаргагчид нэгдсэн шийдвэрт хүрээгүй байна. Эрдэмтдийн зүгээс чадлын хувьд дунд төвшний реактор манай улсад илүү тохиромжтой гэсэн өнцгөөс харж байгаа бол шийдвэр гаргагчдын хувьд реакторын үнэ ханш өндөр үнэтэй болно гэсэн байр суурьтай байдаг. Энэхүү судалгааны ажлаар реакторын техникийн үзүүлэлтийг харьцуулсан гурван өөр түлш бүхий, чадлын хувьд ялгаатай судалгааны реакторуудын дизайны судалгааг хийж, реакторын чадлаас хамаарч судалгааны реакторын хэрэглээ, ашиглалт хэрхэн өөрчлөгдөж болохыг харуулахыг зорьсон.
ABSTRACT Since 2014, the study on research reactor design suitable for Mongolia has been started at Nuclear Research Centre, National University of Mongolia. As seen from the result of these works, research reactors from Russia could highly be the Mongolian first nuclear reactor due the geographical issue and long lasting cooperation with Mongolian and Russian scholars. However, selecting the power level of the reactor have not reached a consensus among the decision-makers and scholars in Mongolia. From the side of the scholars, they recommend the mid-range of reactors in which can carry out research studies and other related activities like producing industrial and medical radioisotopes while the decision-makers consider that the reactor could be expensive and cannot afford. In order to reach a conclusion, detailed neutronic analysis on commercial fuel assemblies in Russia are needed to proof for the scholars that the medium power reactors could fulfil the applications to Mongolia.
We discuss the problems of scattering in this framework, and show that this method is very useful in the investigation of the effect of the resonance in the observed scattering cross sections.
In the present framework, the complex scaled orthogonality condition model (CSOCM) [2] and the extended completeness relation [3] are used. The scattering phase shifts have been investigated as important scattering quantities from the continuum level density (CLD) [4-6] obtained using the CSM. The CSOCM can be used for obtaining scattering phase shifts of the many resonance system. In order to investigate effects of the many resonances for such system, we applied a simple schematic potential [5] for the J^π=0^+ and 1^- partial waves.
Preliminary results of measurements of the total reaction cross sections σR for nuclei He-4, He-6, He-8, Li-7, Li-8, Li-9, Li-11, Be-7, Be-9, Be-10, Be-11, Be-12, B-8, B-10, B-11 and B-12 nuclei at energy range (10-50) AMeV with 28Si target is presented. The secondary beams of light nuclei were produced by bombardment of the N-15 (50 AMeV) primary beam on Be target and separated by COMBAS fragmentseparator. In dispersive focal plane a horizontal slit defined the momentum acceptance as 1% and a wedge degrader of 600 µm Al was installed. The Bρ of the second section of the fragment-separator was adjusted for measurements in energy range (10-45) AMeV. The strong absorption model reproduces the A-dependence of σR , but not the detailed structure. We are comparing our experimental data with predictions of microscopic (dashed line) and strong absorption model, Glauber multiple scattering theory and preliminary results are obtained.
energy spectrum of 8Be nuclei
In this work we investigate the higher excited states of a+a system applying the complex scaling method. The low-lying 0+ , 2+ and 4+ states of a+a are measured well but the higher excited states 6+ , 8+ and 10+ of a+a are not available by experimentally and these higher excited states have been barely studied by theoretical approaches.
In this work we investigate the higher excited states of α+α system applying the complex scaling method. The low-lying 0+, 2+ and 4+ states of α+α are measured well but the higher excited states 6+, 8+ and 10+ of α+α are not available by experimentally and these higher excited states have been barely studied by theoretical approaches.
In this work we investigate the 0+, 2+, 4+, 6+, 8+, and 0+ resonant states of the α+α system and each advantage of Gaussian and Harmonic Oscillator basis wave functions in the complex scaled orthogonal condition model (CSOCM).
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Only abstract
Resonance states in the complex scaling method
Methods to derive α-clustering factors from the analysis of experimental data for slow (En . 30 keV) and fast (En = 4–6 MeV) neutron-induced (n, α) reactions using the statistical model are described. In this way, the dependence of the α-clustering factor for the (n, α) reaction on the incident neutron energy can be followed. The resulting α-clustering factors are compared with our previous results and those obtained using other approaches.
We investigate the decomposed photodisintegration cross section for the 9Be(1/2+) state, which is important to realize the properties of the unbound 1/2+ state of 9Be. The recent experimental data are discussed to be explained by an α+α+n model. In order to calculate the photodisintegration cross section into α+α+n three-body final states, the complex scaling method is used.
The Mongolian government has a policy to opt a nuclear power as one of the sources of energy in the future. Analysis of public opinion based on the standard survey questionnaire to identify the general public attitude towards nuclear energy use in Mongolia was conducted for the first time in Mongolia in 2011 and for the second time in 2015 for the purpose of further tendency redefining of the public acceptance. The objective of the present paper was to compare the results of the surveys held in 2011 and 2015, and to discuss the alteration and/or the same status in public attitude to nuclear energy use in Mongolia. Based on the results, the main and contributing factors influencing the public opinion for the acceptance of nuclear energy use in Mongolia and the possible reasons forming the public attitude were determined. The results show that Mongolian public opinion on the nuclear energy benefits is likely to be more positive, reasoned mainly by some inevitable factors.
We investigate the virtual state using a simple schematic two-body model which simulates 8Be+ system and the complex scaling method
We discuss the problems of scattering in this framework, and show that the applied method is very useful in the investigation of the effect of the resonance in the observed scattering cross sections. In this study, not only the scattering cross sections but also the decomposition of the scattering cross sections was computed for the α–α system. To obtain the decomposition of scattering cross sections into resonance and residual continuum terms, the complex scaled orthogonality condition model and the extended completeness relation are used. Applying the present method to the α–α and α–n systems, we obtained good reproduction of the observed phase shifts and cross sections. The decomposition into resonance and continuum terms makes clear that resonance contributions are dominant but continuum terms and their interference are not negligible. To understand the behavior of observed phase shifts and the shape of the cross sections, both resonance and continuum terms are calculated.
The E1 decay strength of the 1/2+ first excited state of 9Be is calculated using three body cluster model and complex scaling method where the excited state is correctly treated as unbound. Agreement of theoretical results with experiment is obtained by a reasonable choice of channel radius.
In this work we investigate not only low-lying excited states but also higher excited states of 8Be by using the complex scaled orthogonal condition model (CSOCM). The low-lying 0+, 2+, 4+ states of 8Be are measured well but the higher excited states 6+, 8+ and 10+ of 8Be are not available by experimentally and these higher excited states have been barely studied by theoretical approaches.
