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Green’s Function Formalism for Impurity-Induced Resonances in Sub-barrier Proton-Nucleus Scattering 亚势垒质子-核散射中杂质诱导共振的格林函数形式
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-11 DOI: 10.1016/j.nuclphysa.2026.123388
Bahruz Suleymanli , Kutsal Bozkurt
Motivated by recent experimental refinements of stellar reaction rates, we establish a non-perturbative Green’s function formalism based on the exact solution of the Dyson equation for sub-barrier proton-nucleus resonant scattering. By utilizing bare Green’s functions to map the quantum tunneling problem onto a scattering formalism, we demonstrate that the summation of infinite quantum paths recovers the exact tunneling coefficients, enabling an analytical solution of the Dyson equation where the strong nuclear force is modeled as a surface delta-shell impurity embedded within the Coulomb field. Applying this framework to the astrophysically relevant p+7Li, p+14N, and p+23Na systems, we achieve precise agreement with experimental resonance energies while revealing a fundamental physical distinction in resonance formation. The heavier 23Na system is identified as a saturated state, residing on a geometric plateau where the resonance energy becomes insensitive to the interaction strength; our calculated value of 2.11 MeV aligns remarkably well with the experimental level of 2.08 MeV. In contrast, the lighter 7Li and 14N systems emerge as threshold states in a weak-coupling window, where the resonance energy is highly sensitive to the potential parameters and is sustained near the continuum edge. In this regime, our model yields energies of 0.489 MeV and 1.067 MeV, closely reproducing the experimental benchmarks of 0.441 MeV and 1.058 MeV, respectively. We demonstrate that these threshold states are characterized by a significant enhancement of the resonant cross-section, driven by the inverse relationship between the tunneling width and the spectral density peak. Finally, we establish the domain of validity for this method via a systematic lifetime scan across the periodic table (Z=250), identifying a sharp transition at Z=18 (Argon). This finding confirms that while the method is bounded by the onset of classical stability in heavier nuclei, it provides a rigorous and parameter-free theoretical baseline for describing the sub-barrier resonant dynamics critical to light stellar nucleosynthesis cycles.
基于最近对恒星反应速率的实验改进,我们基于亚势垒质子-核共振散射的Dyson方程的精确解,建立了一个非微扰格林函数的形式。通过利用裸格林函数将量子隧穿问题映射到散射形式,我们证明了无限量子路径的总和恢复了精确的隧穿系数,从而实现了Dyson方程的解析解,其中强核力被建模为嵌入库仑场的表面三角洲壳层杂质。将这一框架应用于与天体物理相关的p+7Li、p+14N和p+23Na体系,我们得到了与实验共振能量的精确一致,同时揭示了共振形成的基本物理区别。较重的23Na体系被确定为饱和状态,位于几何平台上,共振能量对相互作用强度不敏感;计算值2.11 MeV与实验值2.08 MeV非常吻合。相比之下,较轻的7Li和14N系统在弱耦合窗口中出现阈值状态,其中共振能量对电位参数高度敏感,并且持续在连续体边缘附近。在这种情况下,我们的模型产生的能量分别为0.489 MeV和1.067 MeV,接近地再现了0.441 MeV和1.058 MeV的实验基准。我们证明了这些阈值状态的特征是共振截面的显著增强,这是由隧穿宽度和谱密度峰之间的反比关系驱动的。最后,我们通过对元素周期表(Z=2−50)的系统寿命扫描建立了该方法的有效域,确定了Z=18 (Argon)处的急剧转变。这一发现证实,虽然该方法受到较重原子核的经典稳定性的限制,但它为描述对轻恒星核合成周期至关重要的亚势垒共振动力学提供了严格和无参数的理论基线。
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引用次数: 0
Competing decay modes and stability analysis of superheavy nuclei with Z = 120 using relativistic mean-field approach 用相对论平均场方法分析Z = 120超重核的竞争衰变模式和稳定性
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-07 DOI: 10.1016/j.nuclphysa.2026.123387
Nishu Jain , M. Bhuyan , P. Mohr , Raj Kumar
We systematically study the competition between α-decay and spontaneous fission in eveneven superheavy nuclei of Z=120 and 256 ≤ A ≤ 304 within the preformed cluster-decay model using inputs from relativistic mean-field calculations for NL3 parameter set. The α-decay half-lives are obtained from WKB barrier penetration with empirically determined preformation factors, self-consistent Qα values from RMF, and nuclear interaction potentials constructed using both M3Y and relativistic R3Y nucleonnucleon forces, and are benchmarked against standard semi-empirical formulas. Our results predict reduced spontaneous fission probabilities and extended α-decay chains toward the fermium region for isotopes with 296 ≤ A ≤ 304, with enhanced stability reflected in maxima of log10T1/2 around neutron numbers N ≈ 166182. In particular, the nuclei 296,298,300,302,304120 are identified as the most favorable candidates for survival against fission, demonstrating the crucial role of shell effects, deformation, and pairing correlations and providing quantitative guidance for future experimental searches of Z=120 nuclei.
利用NL3参数集的相对论平均场计算输入,系统地研究了Z=120和256 ≤ A ≤ 304的偶偶超重核中α-衰变与自发裂变之间的竞争。α-衰变半衰期由经验确定的预形成因子、RMF自一致的Qα值和M3Y和相对论R3Y核子-核子力构建的核相互作用势得到,并以标准半经验公式为基准。我们的结果预测了296 ≤ A ≤ 304的同位素自发裂变概率降低,α-衰变链向镄区延伸,稳定性增强,反映在中子数N ≈ 166 182附近的最大值为log10T1/2。特别是,296,298,300,302,304120核被确定为最有利的候选核,证明了壳层效应,变形和配对相关性的关键作用,并为未来Z=120核的实验搜索提供了定量指导。
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引用次数: 0
Isospin influence on the decay modes of compound nuclei 58−61Cu* 同位旋对58−61Cu*复合核衰变模式的影响
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-06 DOI: 10.1016/j.nuclphysa.2026.123386
Navjot Kaur , Manpreet Kaur , Amandeep Kaur , Sarbjeet Kaur , Rupinder Kaur , Sukhjeet Singh , Birbikram Singh
Isospin influence on the decay of hot and rotating compound nuclei 5861Cu* formed in the reactions 2326Mg+35Cl at Ec.m. ∼ 32MeV is investigated using the quantum mechanical fragmentation theory based dynamical cluster-decay model (DCM). Using this formalism, the calculated potential energy surfaces, carrying the structural effects, give the preformation probability, P0 for a given decay mode which quantifies the prospects of a fragment being preformed before tunneling through the potential barrier, with certain penetration probability, P. In terms of these two quantities P0 and P, the comparative contributions of the light particles (LPs, A ≤ 4), light intermediate mass fragments (LIMFs, 5 ≤ A ≤ 12), heavy intermediate mass fragments (HIMFs, 13 ≤ A ≤ 20) and symmetric mass fragments (SMFs, 21 ≤ A ≤ ACN/2) in the total fusion cross-sections, σfus, have been calculated. The influence of degree of isospin has been seen on the fragment mass distribution, evaporation/ emissions of the LPs and the binary decay processes (LIMFs, HIMFs and SMFs) of the isotopic compound systems. The decay cross-sections for the dominant decay channels of LPs (σLPs) and LIMFs (σLIMFs) are added to give the DCM calculated σfusDCM values which are in good comparison with the available experimental data as well as Hauser-Feshbach statistical model calculations.
同位旋对23 ~ 26Mg+35Cl反应中58 ~ 61Cu*热旋转复合核衰变的影响利用基于量子力学碎片理论的动态簇衰变模型(DCM)对32MeV进行了研究 ~ 。利用这种形式,计算出的携带结构效应的势能面给出了给定衰变模式下的预形成概率P0,该概率量化了碎片在穿透势垒之前预形成的前景,具有一定的穿透概率P。根据这两个量P0和P,轻粒子(LPs, a ≤ 4)、轻中等质量碎片(LIMFs, 5 ≤ a ≤ 12)、计算了总熔合截面(σfus)中重质量碎片(HIMFs, 13 ≤ A ≤ 20)和对称质量碎片(SMFs, 21 ≤ A ≤ ACN/2)。同位旋度对同位素化合物体系的碎片质量分布、lp的蒸发/排放以及二元衰变过程(LIMFs、HIMFs和SMFs)的影响。将lp (σLPs)和limf (σ limf)的主要衰减通道的衰减截面相加,得到DCM计算的σfusDCM值,与现有实验数据和ha用户- feshbach统计模型计算结果有较好的对比。
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引用次数: 0
Investigating entrance channel effect through the measurement of neutron multiplicity in mass region a  ≈ 200 通过测量质量区a ≈ 200的中子多重率来研究入口通道效应
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-01 Epub Date: 2025-11-22 DOI: 10.1016/j.nuclphysa.2025.123271
Neha Dhanda , Ashok Kumar , Chetan Sharma , Amninderjeet Kaur , Basant Sura , Komal , Amit , Kiran , B.R. Behera , P. Sugathan , Akhil Jhinghan , N. Saneesh , K.S. Golda , Mohit Kumar , Rishabh Parjapati , Avitesh Agrawal , Ishika Sharma , H.P. Sharma , S.K. Chamoli , Swapna Balkrishna , Lakhyajit Sarma
In this study, we measured both the pre-scission and post-scission neutron multiplicities for the 31P + 170Er reaction at excitation energies in the range of 62-84 MeV, using the National Array of Neutron Detectors (NAND) at Inter University Accelerator Centre (IUAC), New Delhi. Theoretical calculations to reproduce the measured neutron multiplicities have been performed using the dynamical model code VECLAN. These calculations show that the dissipation strength parameter (β) increases with excitation energy. Dynamical model calculations also have been performed using HICOL code to understand the fusion dynamics and formation time. It has been observed that transitioning from an asymmetric to a symmetric entrance channel leads to a gradual increase in the compound nucleus formation time, accompanied by more emission of neutrons during its formation.
在这项研究中,我们使用位于新德里大学加速器中心(IUAC)的国家中子探测器阵列(NAND)测量了激发能在62-84 MeV范围内的31P + 170Er反应的裂变前和裂变后中子多重率。用动力学模型代码VECLAN进行了理论计算,再现了测量到的中子多重度。这些计算表明,耗散强度参数(β)随激发能量的增加而增加。利用HICOL代码进行了动力学模型计算,以了解融合动力学和形成时间。从非对称入口通道到对称入口通道的转变导致复合核形成时间逐渐增加,并且在形成过程中伴随有更多的中子发射。
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引用次数: 0
Fission of pre-actinide nucleus 206Po 前锕系核206Po的裂变
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-01 Epub Date: 2025-12-01 DOI: 10.1016/j.nuclphysa.2025.123286
Lakhyajit Sarma , K. Kalita , Harun Al Rashid , Amar Das , Nabendu K. Deb , M. Bhuyan , A. Jhingan , K.S. Golda , N. Saneesh , M. Kumar , P. Sugathan
Fission fragment mass distributions have been measured for the reaction 30Si + 176Yb at near-Coulomb barrier energies to investigate the onset of quasifission. The measured mass distributions exhibit a single-Gaussian profile, and the extracted variances have been compared with calculations based on the Statistical Saddle Point Model (SSPM). The experimentally observed mass variances are significantly larger than the values predicted by the fusion-fission model, indicating the presence of quasifission in the studied energy range.
在近库仑势垒能下测量了30Si + 176Yb反应的裂变碎片质量分布,以研究准裂变的开始。测量的质量分布呈现单高斯分布,并将提取的方差与基于统计鞍点模型(SSPM)的计算进行了比较。实验观测到的质量方差明显大于聚变-裂变模型预测的值,表明在研究的能量范围内存在准裂变。
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引用次数: 0
Bohr-Mottelson Hamiltonian with octic potential applied to the 106−116Cd isotopes 带光势的玻尔-莫特尔森哈密顿量应用于106−116Cd同位素
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-01 Epub Date: 2025-12-16 DOI: 10.1016/j.nuclphysa.2025.123311
P. Buganu , R. Budaca
The Bohr-Mottelson Hamiltonian, with an octic potential in the β deformation variable, is numerically solved for a γ-unstable symmetry of the nuclear system. The analytical structure of the model allows the description of multiple phenomena of great interest for the nuclear structure such as ground-state shape phase transitions and their critical points, dynamical shape phase transitions, shape coexistence with and without mixing, anomalous in-band E2 transitions, large E2 intra-band transitions and large monopole transition between the first excited 0+ state and the ground state, respectively. As a first application of the present model is selected the 106116Cd isotopic chain known in literature to manifest shape phase transition, respectively shape coexistence and mixing.
对核系统的γ-不稳定对称性的Bohr-Mottelson哈密顿量进行了数值求解。该模型的解析结构允许描述对核结构非常感兴趣的多种现象,如基态形状相变及其临界点、动态形状相变、混合和不混合的形状共存、带内异常E2相变、带内大E2相变以及第一激发态与基态之间的大单极子相变。作为本模型的第一个应用,选择了文献中已知的106−116Cd同位素链,分别表现为形状相变,形状共存和混合。
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引用次数: 0
Corrigendum to “Macroscopic-microscopic analysis of deformation energy, Q20 electric quadrupole moments, and equilibrium shapes in even-even barium and cerium isotopes” [Nuclear Physics A, Volume 1062, 2025, 123172] “变形能的宏观-微观分析,Q20电四极矩,平衡形状在偶数钡和铈同位素”的勘误表[核物理学A卷1062,2025,123172]
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-01 Epub Date: 2025-12-08 DOI: 10.1016/j.nuclphysa.2025.123304
Hadj Mouloudj , Fethi Redjem , Oussama Zeggai , Mousaab Belarbi , Youcef Belgaid , Abdelkader Ghalem
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引用次数: 0
The breakup dynamics of helium dimer 氦二聚体的分解动力学
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-01 Epub Date: 2025-12-24 DOI: 10.1016/j.nuclphysa.2025.123316
L.V. Ndala, M.L. Lekala
We demonstrate a significant impact of continuum-continuum couplings in the helium dimer on both elastic and breakup (dissociation) cross sections for the reaction 4He2+4He4He+4He+4He, employing the Continuum Discretized Coupled Channels (CDCC) formalism with different model potentials, including Gaussian and exponential interactions. The resulting differential angular distributions elastic and breakup cross sections as well as elastic phase shifts are systematically analyzed and compared with available theoretical results in the literature. We find that the breakup cross section exhibits a threshold at zero energy, approaching zero as the center-of-mass energy tends to zero, while the elastic cross section approaches a finite constant value. The continuum-continuum couplings are shown to significantly modify the elastic phase shifts and to reduce their sensitivity to the specific form of the dimer potential. These findings highlight the essential role of continuum-continuum couplings in accurately describing low-energy three-body scattering and dissociation processes in weakly bound systems such as the helium dimer.
我们利用具有不同模型势的连续离散耦合通道(CDCC)形式,包括高斯和指数相互作用,证明了氦二聚体中连续-连续耦合对反应4He2+4He→4He+4He+4He +4He的弹性和破裂(解离)截面的显著影响。系统地分析了所得的微分角分布、弹性和破碎截面以及弹性相移,并与文献中已有的理论结果进行了比较。我们发现,在能量为零时,破裂截面呈现一个阈值,随着质心能量趋于零而接近于零,而弹性截面接近于一个有限的常数值。连续-连续耦合可以显著地改变弹性相移,并降低其对二聚体势的特定形式的敏感性。这些发现强调了连续-连续耦合在准确描述弱束缚系统(如氦二聚体)中的低能三体散射和解离过程中的重要作用。
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引用次数: 0
Disentangling channel coupling effects in interactions with 19F projectile using a coupled reaction channel approach 用耦合反应通道方法解纠缠与19F弹丸相互作用中的通道耦合效应
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-01 Epub Date: 2025-12-22 DOI: 10.1016/j.nuclphysa.2025.123313
Rayees Ahmad Yatoo , Sunil Kalkal , Akhil Jhingan
The dynamics of sub-barrier fusion reactions are well explained by incorporating channel coupling effects to various degrees of freedom, such as deformations and vibrations, within the coupled channel formalism. In many systems, sub-barrier fusion cross-sections are enhanced by couplings to inelastic excited states and nucleon transfer channels with positive Q-values. However, several systems show no such effect from positive Q-value transfer channels. Conventional coupled channel approaches effectively handle even-even systems, but for odd-even systems, odd-A nuclei are often approximated as pure rotors or vibrators, assuming ground state spin-parity and neglecting spin reorientation effects. Furthermore, single nucleon transfer is not included in codes like CCFULL, which only account for ground-state pair transfers without considering transfers involving excited states. To address these limitations, the quantum mechanical coupled reaction channel (CRC) code FRESCO is employed. For the 19F + 68Zn system, experimental data are explained by including couplings to inelastic states of both projectile and target. However, for 19F + 54,56Fe, 64Zn and 142,150Nd systems, inelastic couplings alone fail to reproduce fusion excitation functions (EFs). Couplings to one-proton (pickup) or triton (stripping) transfer channels with positive Q-values show no significant effect on sub-barrier fusion cross-sections. Overall, CRC calculations indicate that coupling to inelastic states of both projectile and target enhance sub-barrier fusion cross-sections. The treatment of the projectile/target nuclei based on certain assumptions has resulted in different sub-barrier fusion cross-sections in earlier studies. The current study suggests that channel coupling effects on fusion excitation function is a complex process in interaction with odd-A projectile and one needs to include exact spin-parity of odd-A nuclei in theoretical calculations.
亚势垒融合反应的动力学可以很好地解释为,在耦合通道的形式体系中,结合不同自由度的通道耦合效应,如变形和振动。在许多系统中,与非弹性激发态和正q值的核子转移通道的耦合增强了亚势垒融合截面。然而,一些系统在正q值传递通道中没有表现出这种影响。传统的耦合通道方法可以有效地处理偶偶系统,但对于奇偶系统,奇a核通常近似为纯转子或振子,假设基态自旋宇称而忽略自旋重定向效应。此外,CCFULL等代码中不包括单核子转移,它们只考虑基态对转移,而不考虑激发态转移。为了解决这些限制,采用了量子力学耦合反应通道(CRC)代码FRESCO。对于19F + 68Zn系统,实验数据的解释包括弹丸和目标的非弹性状态的耦合。然而,对于19F + 54,56fe, 64Zn和142,150Nd体系,仅非弹性耦合无法再现聚变激发函数(EFs)。与正q值的单质子(吸收)或triton(剥离)转移通道的耦合对亚势垒聚变截面没有显著影响。总体而言,CRC计算表明,弹丸和目标的非弹性态耦合增强了亚障融合截面。在早期的研究中,基于某些假设对弹/靶核的处理导致了不同的亚障融合截面。目前的研究表明,通道耦合对核聚变激发函数的影响是一个与奇a抛射体相互作用的复杂过程,在理论计算中需要考虑奇a核的精确自旋宇称。
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引用次数: 0
Thermal properties of the doubly magic 56Ni nucleus 双幻56Ni核的热性质
IF 2.5 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-03-01 Epub Date: 2026-01-10 DOI: 10.1016/j.nuclphysa.2026.123328
Mohammed Hassen Eid Abu-Seileek, Saed J. Al Atawneh
We present a systematic investigation of the thermal properties of the doubly magic nucleus 56Ni under thermal excitation, employing the Finite-Temperature Hartree-Fock (FTHF) method with two distinct realistic nucleon-nucleon (NN) interactions: the Reid Soft Core (RSC) and Nijmegen (Nijm.II) potentials. The primary objective is to quantify the sensitivity of key thermodynamic observables -including binding energy, root-mean-square radius, entropy, Helmholtz free energy, and the single-particle spectrum - to the choice of the underlying nuclear force. Calculations were performed in a no-core model space of six major oscillator shells across a temperature range of 0 to 8 MeV. Our results reveal that while macroscopic thermal trends are robust and largely potential-independent, critical quantitative differences emerge. The RSC potential predicts a higher excitation energy (205 MeV) for a 44.5 % volume expansion at T=8 MeV compared to 189 MeV for Nijm.II. Furthermore, we identify distinct interaction-dependent thresholds, such as a crossover in nuclear radius at T5.6 MeV and a divergence in energy at T2.4 MeV. Our comparative analysis with previous 40Ca calculations reveals that the thermal response of 56Ni is markedly different despite both being doubly magic. While 40Ca exhibits a volume expansion of 13.4 % at T = 8 MeV, 56Ni expands by only 3.5 %, scoring its stronger resistance to thermal swelling. Similarly, the entropy increase is substantially lower in 56Ni, with a slope reduction of nearly 40 % relative to 40Ca. Moreover, the crossover temperature at which RSC and Nijm.II potentials diverge occurs at T ≈ 2.4 MeV in both nuclei, but the subsequent divergence is quantitatively smaller in 56Ni, reflecting its larger shell gap and binding energy. These results establish that the thermal response is strongly mass-dependent, with heavier doubly magic nuclei displaying enhanced thermodynamic stability.
本文采用有限温度Hartree-Fock (FTHF)方法,系统地研究了在热激发下双魔核56Ni的热性质,该方法具有两种不同的现实核子-核子(NN)相互作用:Reid软核(RSC)和Nijmegen (Nijm.II)势。主要目标是量化关键热力学观测值的灵敏度,包括结合能、均方根半径、熵、亥姆霍兹自由能和单粒子谱对潜在核力的选择。在温度范围为0至8 MeV的6个主要振荡器壳的无核心模型空间中进行了计算。我们的研究结果表明,虽然宏观热趋势是稳健的,并且在很大程度上与潜力无关,但关键的定量差异出现了。与Nijm.II的189 MeV相比,RSC势预测在T=8 MeV时体积膨胀44.5%的激发能(205 MeV)更高。此外,我们确定了不同的相互作用相关阈值,例如T≈5.6 MeV时核半径的交叉和T≈2.4 MeV时能量的发散。我们与先前40Ca计算的对比分析表明,56Ni的热响应显着不同,尽管两者都具有双重魔力。在T = 8 MeV时,40Ca的体积膨胀率为13.4%,而56Ni的体积膨胀率仅为3.5%,具有更强的抗热膨胀性。同样,56Ni的熵增也明显较低,相对于40Ca,熵增斜率降低了近40%。此外,RSC与Nijm的交叉温度。两个原子核在T≈2.4 MeV处都发生了II势发散,但在56Ni中随后的发散在数量上较小,这反映了其较大的壳隙和结合能。这些结果表明,热响应是强烈依赖于质量的,更重的双魔核表现出更强的热力学稳定性。
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引用次数: 0
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Nuclear Physics A
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