恒星能量下核子俘获反应率的晕核效应

恒星能量下俘获截面很难直接测量。¹⁰Be（n，γ）¹¹Be俘获反应涉及到非均匀宇宙大爆炸核合成，无直接测量实验截面数据。利用转移反应¹⁰Be（d，p）¹¹Be的渐近归一化系数（ANC）方法，计算了¹⁰Be（n，γ）¹¹Be俘获反应截面和反应率。¹¹Be是中子晕核。研究表明，在恒星能量下俘获到晕态的截面和反应率显著增大。     

Determination of the subthreshold state contribution in 13C(alpha,n)16O,the main neutron-source reaction for the s process

The reaction rate of the stellar reaction 13C(alpha,n)16O, which is currently considered to be the main neutron source for the slow (s) process at low energies, has been rederived using the direct alpha-transfer reaction 13C(6Li,d)17O leading to the subthreshold state at 6.356 MeV in 17O. The contribution of the subthreshold state is found to be much smaller than the currently accepted predictions for the main neutron source of the s process, indicating less of a role of this reaction as the neutron source for the s-process scenario in low-mass stars at the asymptotic giant branch.     

The ANC of O subthreshold states from C(Li, d) reaction at energies near the barrier

The ANC of the ²⁺ (6.92 MeV) and ¹⁻ (7.12 MeV) subthreshold states of ¹⁶O have been extracted from the normalization of ¹²C(⁶Li, d) angular distribution to a Finite Range Distorted Wave Born Approximation (FRDWBA) calculation. The theoretical analysis indicates a peripheral reaction and the extracted ANCs are not sensitive to the number of nodes in the bound state potential. The uncertainty from the entrance channel potential is minimized to 8% for the 6.92 and 11% for the 7.12 MeV state if the normalization is performed at the grazing angle. The uncertainty from the exit channel potential at the grazing angle is found to be 10% and 12% respectively for the 7.12 and 6.92 MeV states.     

The N(p,γ)O low-energy S-factor

The ¹⁴N(p,γ)¹⁵O low-energy S-factor is analyzed using the R-matrix model. We find that the g.s. contribution is less than previously reported. The S-factor is mainly given by the 6.79 MeV state contribution which is determined by its asymptotic normalization constant (ANC). Consequently, the S-factor at zero energy is lower by a factor of 1.7 compared to the values given in recent compilations. This result may affect the nucleosynthesis and time scale evolution in massive stars. New measurements of the ¹⁴N(p,γ)¹⁵O cross section over a wide energy range, and especially at low energies, are highly desirable. Significant improvement could be also obtained from the ANC measurement of the 6.79 MeV state.     

大爆炸核合成相关的8Li(d,p)9Li反应截面测量

利用8Li次级束测量了质心系能量7.8 MeV2H(8Li, 9Li)1H反应的角分布，导出了8Li(d, p)9Li反应的天体物理S因子及9Li→8Li+n虚衰变的渐近归一化系数. We have measured the angular distribution of 2H(8Li,9Li)1H at Ecm= 7.8 MeV and deduced the astrophysical S factor of 8Li(d, p)9Li reaction as well as the Asymptotic Normalization Coefficient (ANC) for 9Li → 8Li+n virtual decay.     

Determination of Asymptotic Normalization Coefficients by Analytic Continuation of Differential Cross Sections

Physics of Atomic Nuclei - A method is discussed for determining the asymptotic normalization coefficients (ANC) using the analytic continuation of experimental differential cross sections for...     

Effect of the three-body force on triton asymptotic normalization constants by the hyperspherical harmonics expansion method

We investigate the change in the calculated value of asymptotic normalization constant (ANC) by the hyperspherical harmonics expansion method with the inclusion of three nucleon force (3BF) in addition to two nucleon force. We see that ANC does not change very much with the inclusion of 3BF indicating that the 3BF does not alter the asymptotic behaviours of HHE wavefunction significantly.     

An asymptotic normalization coefficient for the loosely-bounded state of 17F nucleus in the orthogonality conditions model

A method for calculating an asymptotic normalization coefficient (ANC) is developed within an approximation of the resonating group model (RGM)-the orthogonality conditions model (OCM). An ANC for the ¹⁶O + p channel of the (1/2⁺, 495.3 keV) state of the ¹⁷F nucleus is calculated using different versions of the model. It is shown that the influence of the exchange terms on the values of the ANC is quite great and is not reduced to renormalizing the channel wave function as a whole.     

Lifetime of the 6793-keV state in 15O

The energy derived from the CN cycle at low stellar temperatures is regulated by the 14N(p,gamma)15O reaction. A previous direct measurement of this reaction has been interpreted as showing evidence for a subthreshold resonance which makes a major contribution to the reaction rate at low temperatures. This resonance, at E(c.m.) = -504 keV would correspond to the known Ex = 6793-keV state in 15O. We have measured a mean lifetime of 1.60(+0.75)(-0.72) fs (90% C.L.) for this state using the Doppler-shift attenuation method. This lifetime is a factor of 15 longer than that inferred from the (p,gamma) data and implies that the contribution of the subthreshold resonance is negligible.     

On the determination of asymptotic normalization coefficients

The problem of determining asymptotic normalization coefficients (ANC) from experimental data is considered. It is shown that the ANC could be extracted from the single partial-wave phase shift if one applies the analyticity requirement. A new method of determining ANCs is suggested, which makes use both of the experimental information on phase shifts and of the analytic properties of scattering amplitudes.     

A new general R-matrix theory of collinear reactions and its application to the H + H2 reaction

A new general R-matrix theory of collinear reactions is developed by using the polar coordinate for the inner interaction region and the Cartesian coordinate for the two outer (reactants and products) asymptotic regions. The theory is applied to the collinear H + H₂ exchange reaction.     

Relation between proton and neutron asymptotic normalization coefficients for light mirror nuclei and its relevance to nuclear astrophysics

We show how the charge symmetry of strong interactions can be used to relate the proton and neutron asymptotic normalization coefficients (ANCs) of the one-nucleon overlap integrals for light mirror nuclei. This relation extends to the case of real proton decay where the mirror analog is a virtual neutron decay of a loosely bound state. In this case, a link is obtained between the proton width and the squared ANC of the mirror neutron state. The relation between mirror overlaps can be used to study astrophysically relevant proton capture reactions based on information obtained from transfer reactions with stable beams.     

Analytic Continuation of Scattering Function and Asymptotic Normalization Constants for 6Li

A new method of determining asymptotic normalization coefficients (ANC) corresponding to the two-channel virtual process A → B +  C is suggested. The method makes use of the Coulomb-modified effective range (ER) expansion for the two-channel elastic BC scattering. The coefficients of the ER expansion are found using the results of the phase-shift analysis of the BC scattering. Then the ER expansion is analytically continued in energy to the pole corresponding to the bound state A. The ANC is directly related to the residue of the BC scattering amplitude at that pole. The method suggested is applied to the ⁶Li nucleus in the α +  d channel. The ANCs for the S and D states of the relative αd motion are evaluated.     

Effect of the reversibility of the chemical reaction on triple flames

We examine a new aspect of triple flames, namely the effect of the reversibility of the chemical reaction on flame propagation. The study is carried out in the configuration of the two-dimensional strained mixing layer formed between two opposing streams of fuel and oxidiser. The chemical reaction is modelled as a single reversible reaction following an Arrhenius law in the forward and backward directions. The problem is formulated within the constant-density (thermo-diffusive) approximation, the main non-dimensional parameters relevant to this study being a reversibility parameter R (equal to zero in the irreversible case), a non-dimensional measure of the strain rate ? and a stoichiometric parameter S. We provide analytical (asymptotic) expressions for the local burning speed of the triple flame in terms of ?, S, and R. In particular we describe how the propagation speed of the front is decreased by an increase in R and how the location of its leading edge is affected by reversibility. For example, it is found that the leading edge shifts towards the fuel stream for S > 1 and towards the oxidiser if S < 1, as R is increased. A detailed numerical study is conducted covering all propagation regimes ranging from weakly stretched positively propagating (ignition) fronts to thick negatively propagating (extinction) fronts. In the weakly stretched cases we show that the numerics are in good agreement with the asymptotic findings. Furthermore, the results allow the determination of the domains of the distinct propagation regimes, mainly in the terms of R and ?. In line with our physical intuition, it is found that reversibility reduces the domain of ignition fronts and promotes extinction. The results provide a systematic investigation which can be considered as a first step when considering a more realistic chemistry, or poorly explored aspects (such as the existence of a temperature gradient in the unburnt mixture), when analyzing triple flames.     

Proton capture reaction of ³³S in nova V1065 Centauri

Previous studies have shown that 33 S(p, γ) 34 Cl is the most important reaction that affects the abundance of 33 S in the product of nova nucleosynthesis. In this paper, a more accurate thermonuclear reaction rate of 33 S(p, γ) 34 Cl in the nova is calculated based on the newly measured 34 Cl nuclear resonance levels. The electron screening correction and the non-resonance and narrow-resonance contributions are considered. The calculations are also combined with the recent observational data of nova V1065 Centauri and show that the thermonuclear reaction rates of 33 S(p, γ) 34 Cl are significantly different in the improved method. Because these results can affect the isotopic ratio of sulfur in the nova ejecta significantly, we make an estimate of the values of 32 S/ 33 S and 33 S/ 33 S ⊙ , which can be used as a diagnostic tool for the novae.     

An optimized design of 10-nm-scale dual-material surrounded gate MOSFETs for digital circuit applications

In this paper, we have proposed and simulated a new 10-nm Dual-Material Surrounded Gate MOSFETs (DMSG) MOSFETs for nanoscale digital circuit applications. The subthreshold electrical properties such as subthreshold current–voltage characteristics, subthreshold swing factor, threshold voltage and drain induced barrier lowering (DIBL) of the device have been ascertained and mathematical models have been developed. It has been observed that the DM design can effectively suppress short-channel effects as compared to single material gate structure. The proposed analytical expressions are used to formulate the objective functions, which are the pre-requisite of genetic algorithm computation. The problem is then presented as a multi-objective optimization one where the subthreshold electrical parameters are considered simultaneously. Therefore, the proposed technique is used to search of the optimal electrical and geometrical parameters to obtain better electrical performance of the 10-nm-scale transistor. These characteristics make the optimized 10-nm transistors potentially suitable for deep nanoscale logic and memory applications.     

The structure of the thermal explosion limit with variable pre-exponential factor

An approximate critical explosion parameter, which separates the slow and explosive reactions is determined with respect to the initial data, using the asymptotic technique to analyze a one step reaction mechanism with temperature dependent pre-exponential factor. We obtained and analysed the effect of the variable pre-exponential factor on the critical temperature, critical parameter for thermal explosion and the first order approximation of the slow curve. By introducing a new coordinate and using the Method of Invariant Manifold (MIM), we obtained corrections on the critical temperature. The results obtained are not only general; they also reveal some salient properties of the system hitherto unknown.     

Robust active noise control in the loadmaster area of a military transport aircraft

The active noise control (ANC) method is based on the superposition of a disturbance noise field with a second anti-noise field using loudspeakers and error microphones. This method can be used to reduce the noise level inside the cabin of a propeller aircraft. However, during the design process of the ANC system, extensive measurements of transfer functions are necessary to optimize the loudspeaker and microphone positions. Sometimes, the transducer positions have to be tailored according to the optimization results to achieve a sufficient noise reduction. The purpose of this paper is to introduce a controller design method for such narrow band ANC systems. The method can be seen as an extension of common transducer placement optimization procedures. In the presented method, individual weighting parameters for the loudspeakers and microphones are used. With this procedure, the tailoring of the transducer positions is replaced by adjustment of controller parameters. Moreover, the ANC system will be robust because of the fact that the uncertainties are considered during the optimization of the controller parameters. The paper describes the necessary theoretic background for the method and demonstrates the efficiency in an acoustical mock-up of a military transport aircraft.     

Spatio-temporal behaviors of a clock reaction in an open gel reactor

The concentration profiles along the feeding direction of a one side fed gel reactor are analyzed for the iodate-arsenous acid reaction. Multiplicity of inhomogeneous stationary solutions is derived. It is also shown that such profiles may undergo oscillatory bifurcations under long range activation conditions. The bifurcation diagram is analyzed using a Galerkin approximation, the asymptotic validity of which is discussed.