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A systematic study of α decay half-lives for Ac, Th, Pa, U and Np isotopes with A = 205-245 using the modified generalized liquid drop model 用改进的广义液滴模型系统地研究了A = 205 ~ 245的Ac、Th、Pa、U和Np同位素α衰变半衰期
Pub Date : 2023-11-09 DOI: 10.1142/s0218301323500477
K. P. Santhosh, Dashty T. Akrawy, Tinu Ann Jose, Ali H. Ahmed, H. Hassanabadi, S. S. Hosseini, V. Zanganah, L. Sihver
The Modified Generalized Liquid Drop Model (MGLDM) has been used for calculating the ground-to-ground states of [Formula: see text]-decay half-lives for various Ac, Th, Pa, U and Np isotopes in the mass number range of [Formula: see text]. To account for the nuclear proximity energy, the potential of Blocki et al. 74 [J. Blocki, J. Randrup, W. J. Swiatecki and C. F. Tsang, Ann. Phys. NY 105 (1977) 427] is used. The experimental [Formula: see text] values are used to evaluate the [Formula: see text]-decay half-lives. It can be observed that the logarithm of [Formula: see text]-decay half-life increases with increasing neutron number ([Formula: see text]), with evident minimum at the magic number 126, where the neutron shell is closed. The calculated results are compared with available experimental data and with the predictions of different empirical formulae such as, ARF, MARF, Royer, AKRE, Akrawy, NRB, VS, MVS, YQZR and MYQZR. It is found that the MGLDM is able to predict the experimental half-lives with a standard deviation of 0.6892 (the lowest one among all the other applied empirical formulae), and is therefore suitable for predicting the [Formula: see text]-decay half-lives for unknown and new heavy nuclei.
修正广义液滴模型(MGLDM)已被用于计算[公式:见文本]的各种Ac、Th、Pa、U和Np同位素的地对地状态——在[公式:见文本]质量数范围内的衰变半衰期。为考虑核邻近能,Blocki等[J]。布洛基,J. Randrup, W. J. Swiatecki和c.f. Tsang, Ann。理论物理。使用NY 105(1977) 427]。实验[公式:见文]值用于计算[公式:见文]衰变半衰期。可以观察到,[公式:见文]衰变半衰期的对数随着中子数的增加而增加([公式:见文]),在魔术数126处有明显的最小值,此时中子壳层是闭合的。将计算结果与已有的实验数据以及ARF、MARF、Royer、AKRE、Akrawy、NRB、VS、MVS、YQZR和MYQZR等不同经验公式的预测结果进行了比较。发现MGLDM预测实验半衰期的标准差为0.6892(在所有应用的经验公式中最低),因此适用于预测未知和新重核的衰变半衰期。
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引用次数: 0
Analytical solution for nuclear plus atomic Hulthen potential-A perturbative approach 核加原子Hulthen势的解析解- a微扰方法
Pub Date : 2023-11-09 DOI: 10.1142/s0218301323500520
M. Majumder, U. Laha, A. Panigrahi
In this work, we construct the analytical solution of the Schrödinger equation for a combined nuclear plus atomic Hulthén potential with different range parameters, using the Frobenius method. The atomic Hulthén potential acts as the screened Coulomb potential to represent the very short-range electromagnetic interaction. It is intended to emphasize how the impact of the combined potential in these situations is routinely examined within the context of nuclear physics. The Jost function is calculated from its integral representation in terms of the regular solution. From the phase of the Jost function, the scattering phase shifts for different partial waves, and further differential scattering cross-section and total cross-sections are calculated for alpha-proton and proton–proton systems. On comparing with the existing experimental data, we conclude that the results obtained are in close conformity with the previous works that exist in the literature.
本文利用Frobenius方法,构造了具有不同范围参数的核与原子组合hulthsamn势的Schrödinger方程的解析解。原子的hulthassen势作为屏蔽的库仑势来表示极短程电磁相互作用。它的目的是强调如何在核物理学的范围内例行检查这些情况下的综合势的影响。约斯特函数是根据正则解的积分表示来计算的。从Jost函数的相位出发,计算了不同部分波的散射相移,并进一步计算了α -质子和质子-质子体系的微分散射截面和总散射截面。通过与已有实验数据的比较,我们得出结论,所得结果与文献中已有的工作非常吻合。
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引用次数: 0
Double Folding Analysis of the α+28Si Elastic Scattering System α+28Si弹性散射系统的双折叠分析
Pub Date : 2023-11-09 DOI: 10.1142/s0218301323500490
Ahmed Hammad Amer
Using the double folding model (DFM), we reanalyzed 20 sets of experimental angular distributions for the elastic scattering [Formula: see text]+[Formula: see text]Si system in a wide energy range of [Formula: see text]-particles from 12.7[Formula: see text]MeV to 240[Formula: see text]MeV. We used three effective nucleon–nucleon (NN) interactions that are CDM3Y6, São Paulo Potential (SPP2), and Brazilian Nuclear Potential (BNP) to generate the DF potentials. The data analysis was performed using semi-microscopic (SM) and fully microscopic (FM) methods. In the SM approach, the real part of the optical potential (OP) is created with the DFM, and the Woods–Saxon (WS) potential is considered for the imaginary part of the OP. In the FM approach, the DF potential renormalization factors [Formula: see text] and [Formula: see text] for the real and imaginary parts of the OP were extracted. We investigated the energy dependencies of the [Formula: see text] and [Formula: see text] factors, as well as of nuclear potential volume integrals and reaction cross-sections. We reasonably reproduced the data using [Formula: see text] and [Formula: see text] factors obtained from their energy-dependent functions.
利用双折叠模型(DFM),我们重新分析了弹性散射[公式:见文]+[公式:见文]Si体系在[公式:见文]宽能量范围内的20组实验角分布——粒子从12.7[公式:见文]MeV到240[公式:见文]MeV。我们使用三种有效的核子-核子(NN)相互作用CDM3Y6、圣保罗势(SPP2)和巴西核势(BNP)来产生DF势。数据分析采用半显微(SM)和全显微(FM)方法进行。在SM方法中,使用DFM创建光势(OP)的实部,并考虑了OP的虚部的Woods-Saxon (WS)势。在FM方法中,提取了OP的实部和虚部的DF势重整化因子[公式:见文]和[公式:见文]。我们研究了[公式:见文]和[公式:见文]因子的能量依赖性,以及核势体积积分和反应截面的能量依赖性。我们使用[公式:见文]和[公式:见文]从它们的能量依赖函数中获得的因子合理地再现了数据。
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引用次数: 0
Role of equation of state and clusterization algorithms on nuclear vaporization 状态方程和聚类算法在核汽化中的作用
Pub Date : 2023-11-08 DOI: 10.1142/s0218301323500532
Navjot K. Dhillon, Sejal Ahuja, Rajat Rana, Sakshi Gautam
By using the Quantum Molecular Dynamics (QMD) model, a study on the nuclear vaporization in [Formula: see text] collision is presented for different nuclear equations of state along with a systematic comparison of different clusterization methods based on simple spatial correlations, spatial-momentum correlations, mass dependent binding energy cuts and Simulated Annealing Clusterization Algorithm (SACA). The effect of different nuclear equations of state i.e., Soft, Hard and Soft with Momentum Dependent (SMD) interactions on the energy of onset of vaporization for [Formula: see text] collisions is predicted by investigating gas/liquid content and probability of vaporization versus incident energy behavior. These two observables probe the critical point of nuclear vaporization very well. Further outcome of different clusterization algorithms on the energy of onset of nuclear vaporization is also probed and a comparison of calculations with the experimental data for [Formula: see text] and [Formula: see text] collisions is carried out for different clusterization algorithms.
利用量子分子动力学(QMD)模型,研究了不同核状态方程碰撞中的核汽化,并系统比较了基于简单空间关联、空间动量关联、质量依赖结合能切割和模拟退火聚类算法(SACA)的不同聚类方法。通过研究气体/液体含量和汽化概率与入射能量的行为,预测了不同核状态方程,即软、硬和软动量依赖(SMD)相互作用对碰撞汽化开始能量的影响。这两个观测值很好地探测了核汽化的临界点。进一步探讨了不同聚类算法对核汽化起始能量的影响,并对不同聚类算法对[公式:见文]和[公式:见文]碰撞的计算结果与实验数据进行了比较。
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引用次数: 0
Classification of pairing phase transition in the hot nucleus 热核中配对相变的分类
Pub Date : 2023-11-08 DOI: 10.1142/s0218301323500507
Yuhang Gao, Yanlong Lin, Lang Liu
The hot nucleus [Formula: see text] is investigated using covariant density functional theory, where the shell-model-like approach treats the pairing correlation. Lee–Yang’s theorem is applied to classify the pairing phase transition by analyzing the distribution of zeros of the partition function in the complex temperature plane. The distribution of zeros of the partition function converges with increasing particle numbers and illustrates the characteristics of the phase transition. In our calculations, we determine the first-order of the phase transition near the critical temperature. Different seniority states show the pairing phase transition from a superfluid to a normal phase, ranging from fully paired states to completely unpaired states.
使用协变密度泛函理论研究热核[公式:见文本],其中类壳模型方法处理配对相关性。通过分析配分函数在复温度平面上的零点分布,应用李杨定理对配对相变进行了分类。配分函数的零点分布随粒子数的增加而收敛,说明了相变的特征。在我们的计算中,我们确定了临界温度附近相变的一阶。不同的优先态显示了从超流体到正常相的配对相变,从完全配对状态到完全不配对状态。
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引用次数: 0
QCD vacuum and baryon masses QCD真空和重子质量
Pub Date : 2023-11-03 DOI: 10.1142/s021830132350060x
Igor A. Mazur, Youngman Kim, Masayasu Harada, Hyun Kyu Lee
We propose a novel approach to study a possible role of the quantum chromodynamics vacuum in nuclear and hadron physics. Our proposal is essentially to introduce a candidate of the QCD vacuum through a gluon background field and calculate physical quantities as a function of the background field. In the present work we adopt the Copenhagen (spaghetti) vacuum. As a first application of the our approach, we investigate the effects of the Copenhagen vacuum on the ground-state baryon masses. We find that the baryon mass does depend on a parameter that characterizes the Copenhagen vacuum and satisfies the Gell-Mann-Okubo mass relation for the baryon octet. We also estimate the value of the parameter and discuss the chiral invariant nucleon mass in our framework.
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引用次数: 0
Kinetic theory of overpopulated gluon systems with inelastic processes 具有非弹性过程的稠密胶子系统的动力学理论
Pub Date : 2023-11-03 DOI: 10.1142/s0218301323500611
Zhengyu Chen
In this work, the role of inelastic processes in the formation of a transient Bose-Einstein condensation (BEC) is investigated based on kinetic theory. We calculate the condensation rate for an overpopulated gluon system which is assumed to be in thermal equilibrium and with the presence of a BEC. The matrix elements of the inelastic processes are chosen as the isotropic one and the gluons are considered to have a finite mass. Our calculations indicate that the inelastic processes can hinder the formation of a BEC since the negatively infinite net condensation rate can destroy any BEC instantly.
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引用次数: 0
Search for a three-proton resonance state in d+12C, α+12C and 12C+12C collisions at 3.37 A GeV 在3.37 a GeV的d+12C, α+12C和12C+12C碰撞中寻找三质子共振态
Pub Date : 2023-11-02 DOI: 10.1142/s0218301323500519
Kosim Olimov, Otamurod Esanmurodov, Khusniddin K. Olimov, Sherzod Kholbutaev, Bekhzod S. Yuldashev
The new experimental results on the search and study of formation of a possible three-proton resonance state in a target fragmentation region in the total ensemble of collisions of deuterons ( 2 H), [Formula: see text]-particles ( 4 He), and carbon-12 nuclei with target carbon-12 nuclei at incident kinetic energy 3.37[Formula: see text]GeV per nucleon are presented. The narrow peak structure of a possible three-proton resonance state was observed with a four-sigma statistical significance in the spectrum of invariant masses of three protons in the analyzed ensemble of collisions in the collision events with four protons in the final state. The peak structure was not visible in the other channels with the number of protons equal 3, 5, and [Formula: see text]. The mass and width of this possible three-proton resonance state were estimated to be [Formula: see text][Formula: see text]MeV/[Formula: see text] and [Formula: see text][Formula: see text]MeV/[Formula: see text]. The inclusive cross-section of formation of this possible resonance state was estimated to be [Formula: see text][Formula: see text]mb. It was deduced that the three-proton resonances could possibly be formed as a result of capture by a two-proton resonance (with mass [Formula: see text][Formula: see text]MeV/[Formula: see text]) of one more proton with a close velocity. The observed three-proton as well as two-proton resonances are likely to be the hadronic molecules. Taking into account an alpha cluster structure of carbon-12 nuclei, one of the possible mechanisms of formation of three-proton resonances could be the effective fusing of pair of protons with opposite spins, from one fragmenting alpha cluster, with a proton, originating from the second fragmenting alpha cluster.
本文介绍了在氘核(2h)、粒子(4he)和碳-12核与靶碳-12核碰撞总系综中,在入射动能为3.37 GeV /核子的情况下,在靶破碎区寻找和研究可能形成三质子共振态的新实验结果。在最终态的4个质子碰撞事件中,在分析的碰撞系综中,3个质子的不变质量谱中观察到可能的3质子共振态的窄峰结构,具有4西格玛的统计显著性。在质子数为3,5和[公式:见文]的其他通道中看不到峰结构。这个可能的三质子共振态的质量和宽度估计为[公式:见文][公式:见文]MeV/[公式:见文]和[公式:见文][公式:见文]MeV/[公式:见文]。这种可能的共振状态形成的包涵截面估计为[公式:见文][公式:见文]mb。据推断,三质子共振可能是由另一个速度接近的质子的双质子共振(质量[公式:见文][公式:见文]MeV/[公式:见文])捕获的结果。观察到的三质子和双质子共振很可能是强子分子。考虑到碳-12核的α团簇结构,形成三质子共振的可能机制之一可能是来自一个破碎α团簇的具有相反自旋的质子对与来自第二个破碎α团簇的质子有效融合。
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引用次数: 0
Jost function analysis of elastic and inelastic nucleon-nucleon scattering with a new model potential 基于新模型势的弹性和非弹性核子-核子散射的约斯函数分析
Pub Date : 2023-10-27 DOI: 10.1142/s0218301323500581
P. Sahoo, B. Swain, U. Laha
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引用次数: 0
Generator coordinate method for nuclear octupole excitations: status and perspectives 核八极激励的发电机坐标法:现状与展望
Pub Date : 2023-10-27 DOI: 10.1142/s0218301323400116
E. F. Zhou, J. M. Yao
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引用次数: 0
期刊
International Journal of Modern Physics E-nuclear Physics
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