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Modelling simultaneous detection of electrons and (gamma ) rays in-beam 模拟电子束内电子和(gamma )射线的同时探测
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-24 DOI: 10.1140/epja/s10050-025-01745-9
D. M. Cox, P. Papadakis, A. D. Briscoe, A. M. Plaza, J. Ojala, J. Pakarinen

Nuclear physics experiments often involve complex geometrical configurations and intricate de-excitation schemes. Combined (gamma )-ray and conversion-electron spectroscopy experiments are prime examples. The design of the required instrumentation and the interpretation of the resulting data can greatly benefit from detailed simulations. Here, we report on extensions to the NPTool framework that enable an accurate representation of the experimental conditions associated with the sage and spede spectrometers. In addition, we introduce a program package for implementing complicated de-excitation patterns to complement the NPTool framework.

核物理实验常常涉及复杂的几何构型和复杂的退激方案。结合(gamma )射线和转换电子能谱实验是最好的例子。所需仪器的设计和结果数据的解释可以极大地受益于详细的模拟。在这里,我们报告了对NPTool框架的扩展,该框架能够准确地表示与sage和speed光谱仪相关的实验条件。此外,我们还引入了一个程序包来实现复杂的去激励模式,以补充NPTool框架。
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引用次数: 0
Stability of transuranic and transfermium isomers: single-particle structure implications and (alpha ) decays 超铀和转移质异构体的稳定性:单粒子结构影响和(alpha )衰变
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-24 DOI: 10.1140/epja/s10050-025-01726-y
W. M. Seif, A. R. Abdulghany

The transuranic-transfermium region ((Z ge 92)) hosts 221 known isomers across 160 isotopes. We examine their single-particle configurations and (alpha )-decay stability relative to ground states. Our analysis reveals that proton or neutron shell/subshell closures enhance isomer production and stabilize high-spin multi-quasiparticle configurations by strengthening couplings between complementary valence nucleons. Evidenced deformed sub-shell closure at (Z=96) [(Z=104)] boosts isomer yields attributed to occupations in (pi 5/2^+[642](1i_{13/2^+})), (pi 5/2^-[523](1h_{9/2^-})) and (pi 7/2^+[633](1i_{13/2^+})) [(pi 9/2^+[624](1i_{13/2^+})), (pi 1/2^-[521] (2f_{5/2^-})) and (pi 7/2^-[514](1h_{9/2^-}))] orbitals. A neutron deformed shell gap at (N=152) promotes isomerism in (N=151,153) isotones, primarily through (nu 5/2^+[622](1i_{11/2^+})), (nu 11/2^-[725](1j_{15/2^-})), and (nu 9/2^-[734](1j_{15/2^-})) excitations. The leading quasi-particle configurations in the isomers of (N=147)–149 isotones originate from neutrons/holes in the (nu 7/2^+[624](2g_{9/2^+})) and (nu 1/2^+[631] (3d_{5/2^+})) orbitals. The most stable isomers are predominantly driven by excitations in the (pi 1i_{13/2^+}) and (nu 1j_{15/2^-}) orbitals, under moderate prolate deformation, with key contributions from the (pi 11/2^+[615]), (pi 9/2^+[624]), (pi 7/2^+[633]), (pi 5/2^+[642]), (nu 11/2^-[725]), (nu 9/2^-[734]), and (nu 7/2^-[743]) states, then from deformed states of the (pi 2f_{7/2^-}) and (nu 1i_{11/2^+}) orbitals. Unlike heavier transfermiums, isomers (iso) of the Np–Es isotopes ((N=127)–144 isotones) exhibit no (alpha )-decays. The limited data constrain (log _{10} T_{alpha }^{text {(iso)}}) to a single linear trend versus (sqrt{Q_{alpha }^{-1}}) for favored and unfavored decays, unlike the ground-state decays where the trend’s slope correlates with the transferred angular momentum ((Delta l)), with stability enhanced against high-(Delta l) decays. The (alpha )-preformation factor in isomers (S_{alpha }^{text {(iso)}}) exceeds ground-state (gs) value only when (Q_{alpha }^{text {(iso)}} le Q_{alpha }^{text {(gs)}}) and (Delta l) is low; otherwise, (S_{alpha }^{text {(iso)}}) drops by 1–3 orders of magnitude, decreasing with both (Q_{alpha }^{text {(iso)}}) and (Delta l). This study reveals transactinide isomers as a promising research direction for finding stable configurations in undiscovered superheavy nuclei.

超铀转移区((Z ge 92))包含160种同位素的221种已知异构体。我们研究了它们的单粒子构型和相对于基态的(alpha )衰变稳定性。我们的分析表明,质子或中子的壳层/亚壳层闭合通过加强互补价核子之间的耦合来增强异构体的产生和稳定高自旋多准粒子构型。有证据表明,(Z=96) [(Z=104)]的变形亚壳层闭合会提高(pi 5/2^+[642](1i_{13/2^+}))、(pi 5/2^-[523](1h_{9/2^-}))和(pi 7/2^+[633](1i_{13/2^+})) [(pi 9/2^+[624](1i_{13/2^+}))、(pi 1/2^-[521] (2f_{5/2^-}))和(pi 7/2^-[514](1h_{9/2^-}))]轨道的异构体产率。(N=152)处的中子变形壳隙主要通过(nu 5/2^+[622](1i_{11/2^+}))、(nu 11/2^-[725](1j_{15/2^-}))和(nu 9/2^-[734](1j_{15/2^-}))激发促进(N=151,153)同分异构。(N=147) -149同分异构体中主要的准粒子构型来源于(nu 7/2^+[624](2g_{9/2^+}))和(nu 1/2^+[631] (3d_{5/2^+}))轨道上的中子/空穴。最稳定的异构体主要受(pi 1i_{13/2^+})和(nu 1j_{15/2^-})轨道的激发,在适度的延伸变形下,主要来自(pi 11/2^+[615])、(pi 9/2^+[624])、(pi 7/2^+[633])、(pi 5/2^+[642])、(nu 11/2^-[725])、(nu 9/2^-[734])和(nu 7/2^-[743])状态,其次是(pi 2f_{7/2^-})和(nu 1i_{11/2^+})轨道的变形态。与较重的转移元素不同,Np-Es同位素的同分异构体(iso) ((N=127) -144同分异构体)没有(alpha ) -衰变。有限的数据将(log _{10} T_{alpha }^{text {(iso)}})与(sqrt{Q_{alpha }^{-1}})的有利和不利衰变约束为单一线性趋势,不像基态衰变,其趋势斜率与传递的角动量((Delta l))相关,稳定性增强对抗高(Delta l)衰变。同分异构体(S_{alpha }^{text {(iso)}})中的(alpha ) -预形成因子只有在(Q_{alpha }^{text {(iso)}} le Q_{alpha }^{text {(gs)}})和(Delta l)较低时才超过基态(gs)值;否则,(S_{alpha }^{text {(iso)}})下降1-3个数量级,随(Q_{alpha }^{text {(iso)}})和(Delta l)一起下降。本研究揭示了跨锕系同分异构体是在未发现的超重核中寻找稳定构型的一个有前途的研究方向。
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引用次数: 0
Nuclear giant resonances studied with quasiparticle-vibration coupling model and populated by vortex (gamma )-photons 用准粒子-振动耦合模型研究了由涡旋(gamma ) -光子填充的核巨共振
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-22 DOI: 10.1140/epja/s10050-025-01739-7
Liang Guo, Zheng-Zheng Li, Fang-Qi Chen, Yi-Fei Niu, Gianluca Colò, Zhi-Wei Lu, Jian-Xing Li

Investigating giant resonances is essential for deepening our understanding of nuclear structure and constraining the nuclear matter equation of state. In this work, we explore both giant dipole and quadrupole resonances in the superfluid nucleus (^{112})Sn based on a fully self-consistent quasiparticle-vibration coupling (QPVC) theory with the Skyrme interaction. Incorporating QPVC effects refines the description of the isoscalar and isovector modes by producing a downward energy shift and a broader width that are more consistent with experimental observations. Based on quasiparticle random phase approximation (QRPA) and QPVC model, the photoabsorption cross sections are further studied. It is shown that plane-wave (gamma )-photons predominantly excite the electric dipole (E1) mode. In contrast, when the nucleus aligns with the beam, vortex (gamma )-photons selectively excite the transition with a certain multipolarity through new selection rules given by angular momentum conservation. When the nucleus is offset from the beam axis, angular momentum selection rules relax, allowing the (E1) component to gradually recover and supplant the electric quadrupole or octupole transitions, while the oscillatory behavior of the Bessel functions governs fluctuations in the (E1) cross section. By comparing QRPA and QPVC results, QPVC shows its effect in the high energy range of vortex photon absorption cross sections at small impact parameters.

研究巨共振对于加深我们对核结构的理解和约束核物质状态方程是必不可少的。在这项工作中,我们基于具有Skyrme相互作用的完全自洽准粒子振动耦合(QPVC)理论,探索了超流体核(^{112}) Sn中的巨偶极子和四极子共振。结合QPVC效应细化了等标量和等矢量模式的描述,产生了一个向下的能量位移和更宽的宽度,更符合实验观测。基于准粒子随机相位近似(QRPA)和QPVC模型,进一步研究了光吸收截面。结果表明,平面波(gamma ) -光子主要激发电偶极子(E1)模式。相反,当原子核与光束对齐时,涡旋(gamma )光子通过角动量守恒给出的新选择规则,选择性地激发具有一定多极性的跃迁。当原子核偏离束轴时,角动量选择规则放松,允许(E1)分量逐渐恢复并取代电四极或八极跃迁,而贝塞尔函数的振荡行为支配(E1)截面的波动。通过对QRPA和QPVC结果的比较,QPVC在小冲击参数下的高能量范围内对旋涡光子吸收截面的影响。
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引用次数: 0
Emission intensities of gamma transitions in (^{235})U alpha decay (^{235}) U α衰变中γ跃迁的发射强度
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-21 DOI: 10.1140/epja/s10050-025-01746-8
F. A. Danevich, S. S. Drapey, D. V. Kasperovych, V. I. Kirischuk, V. V. Kobychev, V. I. Tretyak

New experimental values for the (gamma )-ray emission intensities in the decay of (^text {235})U have been obtained by measurements of a 230-g certified triuranium octoxide sample enriched in (^text {235})U to 93.2% with a 70 cm(^{text {3}}) high-purity germanium detector over 1111 h. Calibration of energy scale and detection efficiency was performed by using peaks of (^text {235})U, (^text {234m})Pa, and U/Th series daughters. The revised intensities account for cascade summation, random coincidences, and interference from (gamma )-rays of other nuclides. Intensities of several (gamma ) transitions were found to have been significantly overestimated in earlier studies, by up to two orders of magnitude.

通过测量富含(^text {235})铀至93.2的230克经认证的八氧化三铀样品,获得了(^text {235})铀衰变中(gamma )射线发射强度的新实验值% with a 70 cm(^{text {3}}) high-purity germanium detector over 1111 h. Calibration of energy scale and detection efficiency was performed by using peaks of (^text {235})U, (^text {234m})Pa, and U/Th series daughters. The revised intensities account for cascade summation, random coincidences, and interference from (gamma )-rays of other nuclides. Intensities of several (gamma ) transitions were found to have been significantly overestimated in earlier studies, by up to two orders of magnitude.
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引用次数: 0
Controlled gate networks: theory and application to eigenvalue estimation 控制门网络:特征值估计的理论与应用
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-21 DOI: 10.1140/epja/s10050-025-01750-y
Max Bee-Lindgren, Zhengrong Qian, Matthew DeCross, Natalie C. Brown, Christopher N. Gilbreth, Jacob Watkins, Xilin Zhang, Dean Lee

We introduce a new scheme for quantum circuit design called controlled gate networks. Rather than trying to reduce the complexity of individual unitary operations, the new strategy is to toggle between all of the unitary operations needed with the fewest number of gates. We present the general theory of controlled gate networks and show that, under quite general conditions, it can significantly reduce the number of two-qubit gates needed to produce linear combinations of unitary operators. The first example we consider is a variational subspace calculation for a two-qubit system. The second example is estimating the eigenvalues of a two-qubit Hamiltonian via the rodeo algorithm (Choi et al. in Phys Rev Lett 127(4):040505, 2021. https://doi.org/10.1103/PhysRevLett.127.040505) using operators that we call controlled reversal gates. We use the Quantinuum H1-2 and IBM Perth devices to realize the quantum circuits. The third example is the application of controlled gate networks to the controlled time evolution of a free nucleon on a three-dimensional lattice. For all of the examples, we show very substantial reductions in the number of two-qubit gates required. Our work demonstrates that controlled gate networks are a useful tool for reducing gate complexity in quantum algorithms for quantum many-body problems such as those relevant to nuclear physics.

我们介绍了一种新的量子电路设计方案——受控门网络。新的策略不是试图降低单个单一操作的复杂性,而是用最少的门数在所需的所有单一操作之间切换。我们提出了控制门网络的一般理论,并表明,在相当一般的条件下,它可以显着减少产生酉算子线性组合所需的双量子位门的数量。我们考虑的第一个例子是两个量子位系统的变分子空间计算。第二个例子是通过rodeo算法估计两个量子位哈密顿量的特征值(Choi等人在Phys Rev Lett 127(4):040505, 2021)。https://doi.org/10.1103/PhysRevLett.127.040505)使用我们称为受控反转门的操作符。我们使用quantum H1-2和IBM Perth器件来实现量子电路。第三个例子是控制门网络在三维晶格上自由核子的控制时间演化中的应用。对于所有的例子,我们展示了所需的双量子位门的数量大幅减少。我们的工作表明,控制门网络是一种有用的工具,可以降低量子算法中量子多体问题(如与核物理相关的量子多体问题)的门复杂度。
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引用次数: 0
Comprehensive shell model study of (beta ^+)/EC-decay properties for (f_{5/2}pg_{9/2}) space nuclei (f_{5/2}pg_{9/2})空间核(beta ^+) / ec衰变特性的综合壳层模型研究
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-21 DOI: 10.1140/epja/s10050-025-01740-0
Surender, Jouni Suhonen, Vikas Kumar

In this study, we investigate the half-lives of the allowed combined (beta ^+) and electron-capture ((beta ^+)/EC) decays of nuclei with (Z = 31{-}40) and (A = 60{-}89) employing shell-model calculations within the (f_{5/2}pg_{9/2}) valence space using the JUN45 interaction. Using the quenching factor (q=0.71pm 0.01) for the weak axial coupling (g_A,) obtained from the analysis of pure Gamow–Teller (beta ^{-}) and (beta ^{+}) decay processes in nuclei with (Z = 31 {-} 40) and (A = 61{-}87,) the transition strengths and branching ratios for the (beta ^{+})/EC decays are evaluated. The experimental (beta )-decay half-lives are found to be rather well explained by the shell-model calculations. We investigate also the isospin mixing in the ground states of (^{64})Ge, (^{70})Se, and (^{78})Rb nuclei for non-analog (0^+ rightarrow 0^+) ((varDelta Tne 0)) (beta ) transitions from (^{64})Ge, (^{70})Se, and (^{78})Rb. A comprehensive study of the (beta ^{+})/EC-decay processes in nuclei in this region is done for the first time in the present work. Though the model space has a limitation due to the lack of its (f_{7/2}) and (g_{7/2}) spin-orbit partners, the results obtained can be considered reasonable.

在本研究中,我们利用JUN45相互作用,利用壳层模型计算了(f_{5/2}pg_{9/2})价空间中含有(Z = 31{-}40)和(A = 60{-}89)的原子核的(beta ^+)和电子捕获((beta ^+) /EC)衰变的半衰期。利用分析纯Gamow-Teller (beta ^{-})和(beta ^{+})衰变过程得到的弱轴向耦合的猝灭因子(q=0.71pm 0.01)(g_A,) ((Z = 31 {-} 40)和(A = 61{-}87,)),计算了(beta ^{+}) /EC衰变的跃迁强度和分支比。发现实验的(beta ) -衰变半衰期可以用壳模型计算很好地解释。我们还研究了(^{64}) Ge、(^{70}) Se和(^{78}) Rb原子核基态中(0^+ rightarrow 0^+)、((varDelta Tne 0))和(beta )从(^{64}) Ge、(^{70}) Se和(^{78}) Rb转变的同位旋混合。本文首次对该区域原子核的(beta ^{+}) / ec衰变过程进行了全面的研究。虽然模型空间由于缺乏其(f_{7/2})和(g_{7/2})自旋轨道伙伴而受到限制,但所得结果可以认为是合理的。
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引用次数: 0
Fragmentation patterns of nuclear response: low-spin giant resonances and soft modes 核反应的碎片化模式:低自旋巨共振和软模式
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-19 DOI: 10.1140/epja/s10050-025-01714-2
Elena Litvinova

Nuclear resonances provide a rich and versatile testbed for exploring fundamental aspects of physics, particularly within the domain of strongly correlated many-body systems. The overarching goal of the theory is to develop a consistent and predictive framework that is (i) capable of a spectroscopically accurate description and (ii) sufficiently general to be applied across different energy scales and transferable to a wide range of complex systems. Thoroughly capturing emergent collective phenomena that arise in nuclear media is the central challenge for the theory, which is discussed in this contribution. It concentrates on the themes inspired and influenced by Angela Bracco’s research, in particular, on the fragmentation patterns of the monopole and dipole responses of medium-heavy nuclei and associated open problems.

核共振为探索物理学的基本方面,特别是在强相关多体系统领域内,提供了丰富而通用的测试平台。该理论的首要目标是建立一个一致的预测框架,该框架是(i)能够在光谱上进行准确的描述,(ii)足够普遍,可以应用于不同的能量尺度,并可转移到大范围的复杂系统。彻底捕获在核介质中出现的紧急集体现象是该理论的核心挑战,这在本贡献中进行了讨论。它集中于受Angela Bracco的研究启发和影响的主题,特别是中重核单极子和偶极子响应的碎片化模式和相关的开放问题。
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引用次数: 0
Study on relativistic transformations for thermodynamic quantities: Boltzmann–Gibbs and Tsallis blast-wave models 热力学量的相对论变换研究:Boltzmann-Gibbs和Tsallis爆炸波模型
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-17 DOI: 10.1140/epja/s10050-025-01742-y
A. S. Parvan

This study derives the relativistic transformations of thermodynamic quantities from the Lorentz transformations applied to the four-momentum components of a thermodynamic system, which is stationary in the inertial reference frame ( K_0 ) and moves at constant velocity relative to the laboratory frame K. Thermodynamic variables are introduced into the formalism via the zeroth component of the four-momentum in ( K_0 ), representing the system’s internal energy. Entropy and particle number are relativistic invariants, while the volume undergoes Lorentz contraction. By treating the three-momentum as an independent state variable, thermodynamic quantities are defined by differentiating the zeroth component of the four-momentum (the Hamiltonian) in the reference frame K with respect to the independent state variables, yielding the fundamental thermodynamic potential. This approach results in the Non-Planck transformations, which differ from the Planck transformations by a factor of ( alpha ). In contrast, by adopting the three-velocity as an independent state variable, thermodynamic quantities are obtained by differentiating the negative Lagrangian, derived from the zeroth component of the four-momentum via Legendre transformations, with respect to the independent state variables, producing the conjugate fundamental thermodynamic potential. This yields the Planck transformations. Conversely, the Ott transformations are derived from the zeroth component of the four-momentum by treating velocity as an independent state variable. This approach conflicts with the principles of mechanics, resulting in an energy that does not qualify as a thermodynamic potential. To validate these findings, we analyze an ultrarelativistic ideal gas of quarks and gluons within the Stefan–Boltzmann limit. Furthermore, we develop consistent Boltzmann–Gibbs and Tsallis blast-wave models for finite-volume freeze-out firecylinders in heavy ion collisions, incorporating Planck and Ott transformations. Comparative analysis demonstrates that Planck transformations yield consistent transverse momentum distributions of hadrons, whereas Ott transformations result in discrepancies.

本研究从应用于热力学系统的四动量分量的洛伦兹变换中推导出热力学量的相对论变换,该系统在惯性参照系( K_0 )中静止,相对于实验室坐标系k以恒定速度运动。热力学变量通过( K_0 )中四动量的第零分量引入到形式主义中,代表系统的内能。熵和粒子数是相对论不变量,而体积则经历洛伦兹收缩。通过将三动量作为一个独立的状态变量,热力学量是通过在参考坐标系K中微分四动量(哈密顿量)的第零分量来定义的,相对于独立的状态变量,产生基本的热力学势。这种方法产生了非普朗克变换,它与普朗克变换的不同之处是( alpha )。相反,采用三速度作为独立状态变量,热力学量是通过四动量的第零分量通过勒让德变换对独立状态变量微分得到的负拉格朗日量,得到共轭基本热力学势。这就产生了普朗克变换。相反,Ott变换是通过将速度作为独立的状态变量从四动量的第零分量导出的。这种方法与力学原理相冲突,导致能量不符合热力学势的条件。为了验证这些发现,我们在斯蒂芬-玻尔兹曼极限内分析了夸克和胶子的超相对论性理想气体。此外,我们建立了一致的Boltzmann-Gibbs和Tsallis爆炸波模型,用于重离子碰撞中有限体积的冻裂火柱,并结合了普朗克和奥特变换。对比分析表明,普朗克变换产生的强子横向动量分布一致,而Ott变换产生的强子横向动量分布不一致。
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引用次数: 0
Neutron Poisons and neutron sources - from the nuclear point of view 中子毒物和中子源——从核的观点
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-17 DOI: 10.1140/epja/s10050-025-01741-z
Michael Wiescher, Richard James deBoer, Joachim Görres, Lothar Buchmann, Chris Ruiz

This paper is in memory of Roberto Gallino, a long-time collaborator on questions of neutron sources and neutron-induced reactions in stellar nucleosynthesis. We therefore discuss a topic that was of great interest to him, the correlation between neutron sources that provide the neutron flux for the production of heavy elements in the s-process and neutron poison reactions that reduce the number of neutrons in the stellar environment. Neutron poisons play a role in all s-process environments, such as the final phase of core helium burning of massive stars or the carbon pocket in hydrogen-helium intershell environment of low-mass AGB stars, originally proposed by Gallino and his co-workers more than 40 years ago. This paper will argue that neutron poison reactions serve as a neutron storage mechanism through which neutron sources can be fueled to provide a delayed neutron release.

这篇论文是为了纪念Roberto Gallino,他长期致力于研究中子源和恒星核合成中中子诱导反应的问题。因此,我们讨论了一个他非常感兴趣的话题,即在s过程中为重元素的产生提供中子通量的中子源与减少恒星环境中中子数量的中子中毒反应之间的关系。中子毒素在所有s过程环境中都起作用,例如大质量恒星核心氦燃烧的最后阶段或低质量AGB恒星氢氦壳间环境中的碳袋,最初由Gallino和他的同事在40多年前提出。本文将论证中子中毒反应作为一种中子储存机制,通过这种机制,中子源可以被加注以提供延迟的中子释放。
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引用次数: 0
Improved unified formulas for (alpha )-decay and cluster radioactivity in heavy and superheavy nuclei: effects of daughter-nucleus deformation 改进了重核和超重核(alpha )衰变和团簇放射性的统一公式:儿核变形的影响
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2025-11-17 DOI: 10.1140/epja/s10050-025-01723-1
M. Ismail, A. Adel, Asmaa Ibrahim

Enhanced unified empirical formulas for both (alpha )- and cluster decay half-lives have been developed by incorporating the effects of angular momentum, isospin asymmetry, and, most importantly, the deformation of daughter nuclei. The updated coefficients were determined using the latest experimental data for (alpha )-decay half-lives of 573 nuclei in the range (52< Z < 118), together with 21 available cluster decay half-lives. To model the impact of deformation, two additional terms – dependent on the quadrupole and hexadecapole deformation parameters – were introduced. Our analysis shows that the quadrupole deformation parameter ((beta _2)) significantly improves agreement with experiment, while the hexadecapole deformation parameter ((beta _4)) produces only marginal effects. These revised empirical formulas yield predictions for both (alpha )- and cluster decay half-lives that are in strong agreement with other similar calculations and have been validated through comparisons with recent experimental results and theoretical predictions. Furthermore, the new formulas were applied to estimate the half-lives of cluster emissions from superheavy nuclei with (Z=120), 122, 124, and 126, and the variation of (log _{10} T_alpha ) with changes in neutron number was thoroughly explored.

通过结合角动量,同位旋不对称,以及最重要的子核变形的影响,已经开发了(alpha )和团簇衰变半衰期的增强统一经验公式。更新后的系数是利用573个原子核在(52< Z < 118)范围内的(alpha ) -衰变半衰期的最新实验数据以及21个可用的团簇衰变半衰期来确定的。为了模拟变形的影响,引入了两个附加项-依赖于四极和十六极变形参数。我们的分析表明,四极变形参数((beta _2))显著提高了与实验的一致性,而六极变形参数((beta _4))仅产生边际效应。这些修正的经验公式对(alpha )和团簇衰变半衰期的预测与其他类似的计算非常一致,并通过与最近的实验结果和理论预测的比较得到了验证。应用新公式计算了含有(Z=120)、122、124和126的超重核团簇发射的半衰期,并对(log _{10} T_alpha )随中子数的变化进行了深入的探讨。
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The European Physical Journal A
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