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Towards scalable bound-to-resonance extrapolations for few- and many-body systems 实现少体和多体系统的可扩展边界共振外推法
Pub Date : 2024-09-04 DOI: arxiv-2409.03116
Nuwan Yapa, Sebastian König, Kévin Fossez
In open quantum many-body systems, the theoretical description of resonantstates of many particles strongly coupled to the continuum can be challenging.Such states are commonplace in, for example, exotic nuclei and hadrons, and canreveal important information about the underlying forces at play in thesesystems. In this work, we demonstrate that the complex-augmented eigenvectorcontinuation (CA-EC) method, originally formulated for the two-body problemwith uniform complex scaling, can reliably perform bound-to-resonanceextrapolations for genuine three-body resonances having no bound subsystems. Wefirst establish that three-body bound-to-resonance extrapolations are possibleby benchmarking different few-body approaches, and we provide arguments toexplain how the extrapolation works in the many-body case. We furthermore pavethe way towards scalable resonance extrapolations in many-body systems byshowing that the CA-EC method also works in the Berggren basis, studying arealistic application using the Gamow shell model.
在开放量子多体系统中,对与连续体强耦合的许多粒子的共振态进行理论描述可能具有挑战性。这种状态在奇异原子核和强子等中很常见,可以揭示系统中潜在作用力的重要信息。在这项工作中,我们证明了复数增量特征向量延续(CA-EC)方法--该方法最初是为具有均匀复数缩放的二体问题而制定的--能够可靠地对没有约束子系统的真正三体共振进行约束到共振外推。我们首先以不同的少体方法为基准,确定三体边界到共振外推是可能的,并提供论据解释外推在多体情况下是如何工作的。此外,我们还证明了 CA-EC 方法在 Berggren 基础上也能工作,并研究了 Gamow 壳模型的实际应用,从而为在多体系统中实现可扩展的共振外推铺平了道路。
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引用次数: 0
Three-body model of $^{6}$He with non-local halo effective field theory potentials 具有非局部晕有效场论势能的 $^{6}$He 三体模型
Pub Date : 2024-09-04 DOI: arxiv-2409.03074
E. C. Pinilla, W. Leidemann, G. Orlandini, P. Descouvemont
We study the $^6$He Borromean nucleus in coordinate representation within athree-body model with two-body potentials derived from cluster effective fieldtheory (EFT). These potentials are originally developed in momentum space andFourier transformed to provide non-local potentials in configuration space. Weuse hyperspherical coordinates in combination with the Lagrange-mesh techniqueto compute the ground state energy, root mean square radius and the E1 strengthdistribution of $^6$He. We also introduce a three-body interaction to eliminatedependencies on the cutoff parameter of the two-body potentials on the groundstate energy. The E1 strength distribution exhibits a low lying resonance asexpected. However it is strongly influenced by the choice of the three-body EFTinteraction.
我们研究了三体模型中坐标表示的 $^6$He Borromean 核,其二体势能来自簇有效场论(EFT)。这些势最初是在动量空间中开发的,经过傅里叶变换后在构型空间中提供了非局部势。我们使用超球面坐标结合拉格朗日网格技术来计算^6$He的基态能量、均方根半径和E1强度分布。我们还引入了三体相互作用,以消除双体势的截止参数对基态能量的依赖。E1 强度分布呈现出预期的低位共振。然而,它受到三体 EFT 相互作用选择的强烈影响。
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引用次数: 0
Deciphering the influence of neutron transfer in Si-based fusion reactions around the Coulomb barrier 解读库仑势垒附近硅基聚变反应中中子转移的影响
Pub Date : 2024-09-04 DOI: arxiv-2409.03101
Rinku Prajapat
Purpose: We aim to investigate the role of a few neutron transfer channels onthe dynamics of fusion reactions around the Coulomb barrier by judiciallyselecting 11 different $^{28,30}$Si-induced systems. These reactions are chosenin such a way that they possess positive and negative Q-values for neutrontransfer channels to make the comparison more apparent. Furthermore, acomparative study on fusion barrier parameters using different proximitypotentials and parametrizations is also a prime goal. Method: A channel coupling approach within the framework of a semiclassicalmodel is being used to investigate the role of multi-neutron transfer withpositive Q-values on fusion phenomena near and below the Coulomb barrier. Thefusion barrier parameters have been extracted and analyzed within the frameworkof seven different potential models. Results: The sub-barrier fusion enhancement compared to the one-dimensionalbarrier penetration model (uncoupled) is investigated by considering collectiveexcitations in colliding nuclei and multi-neutron transfer channels with Q $>$0 within the channel coupling model. Furthermore, GRAZING calculations areperformed to predict the cross-section of target-like fragments after 2n pickuptransfer. Conclusion: All the fusion excitation functions (EFs) have been successfullyexplained by the coupled channel calculations using the channel coupling model.Only the significant effect of up to 2n pickup transfer with Q $>$ 0 was foundon sub-barrier fusion. Despite having positive Q values for transfer channels,no noticeable impact of more than 2n transfer was observed. GRAZING predictionsare grossly in the same order as the quantitative contribution of 2n transferchannels observed by channel coupling model calculations.
目的:我们通过对 11 个不同的$^{28,30}$Si-诱导系统的判断,旨在研究几个中子转移通道对库仑势垒附近核聚变反应动力学的作用。在选择这些反应时,为了使对比更加明显,它们的中子转移通道Q值有正有负。此外,使用不同的近似势和参数对聚变势垒参数进行比较研究也是一个主要目标。方法:采用半经典模型框架内的通道耦合方法,研究正 Q 值的多中子转移对库仑势垒附近和以下聚变现象的作用。在七个不同的势垒模型框架内提取并分析了聚变势垒参数。结果:与一维势垒穿透模型(非耦合)相比,通过考虑碰撞原子核中的集体激发和通道耦合模型中Q值>0的多中子转移通道,研究了亚势垒核聚变的增强。此外,还进行了 GRAZING 计算,以预测 2n 拾取转移后靶样碎片的横截面。结论利用通道耦合模型进行的耦合通道计算成功地解释了所有的融合激发函数(EFs)。尽管传输通道的 Q 值为正,但没有观察到超过 2n 次传输的明显影响。GRAZING 预测结果与通道耦合模型计算所观察到的 2n 个传输通道的定量贡献完全一致。
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引用次数: 0
Speed of sound and isothermal compressibility in a magnetized quark matter with anomalous magnetic moment of quarks 具有反常夸克磁矩的磁化夸克物质的声速和等温压缩性
Pub Date : 2024-08-08 DOI: arxiv-2408.04398
Rajkumar Mondal, Sourav Duari, Nilanjan Chaudhuri, Sourav Sarkar, Pradip Roy
We study the characteristics of quark matter under the influence of abackground magnetic field with anomalous magnetic moment (AMM) of quarks atfinite temperature and quark chemical potential in the framework of Polyakovloop extended Nambu Jona-Lasinio (PNJL) model. In presence of a magnetic field,the speed of sound and isothermal compressibility become anisotropic withrespect to the direction of the background magnetic field, splitting intoparallel and perpendicular directions with respect to the magnetic field.Though the qualitative nature of parallel and perpendicular components ofsquared speed of sound appear similar, they differ in magnitude at lower valuesof temperature. The parallel and perpendicular components of isothermalcompressibility decrease with increasing temperature, indicating a trendtowards increased incompressible strongly interacting matter. On inclusion ofthe AMM of quarks, the perpendicular component of isothermal compressibilitybecomes greater than the parallel component. Additionally, we investigate thequark number susceptibility normalized by its value at zero magnetic field,which may indicate the presence of magnetic fields in the system.
我们在波里雅科夫环扩展南布-若纳-拉西尼奥(PNJL)模型的框架内,研究了夸克物质在无限温度和夸克化学势下的反常磁矩(AMM)背景磁场影响下的特性。在磁场存在的情况下,声速和等温可压缩性相对于背景磁场的方向变得各向异性,相对于磁场分为平行和垂直两个方向。等温可压缩性的平行分量和垂直分量随着温度的升高而减小,这表明不可压缩的强相互作用物质有增加的趋势。加入夸克的 AMM 后,等温可压缩性的垂直分量大于平行分量。此外,我们还研究了以零磁场时的值归一化的夸克数感应性,这可能表明系统中存在磁场。
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引用次数: 0
Charmed hypernuclei within density-dependent relativistic mean-field theory 密度依赖相对论均场理论中的魅惑超核
Pub Date : 2024-08-08 DOI: arxiv-2408.04527
Wei Yang, Shi Yuan Ding, Bao Yuan Sun
The charmed $ Lambda_{c}^{+} $ hypernuclei are investigated within theframework of the density-dependent relativistic mean-field (DDRMF) theory.Starting from the empirical hyperon potential in symmetric nuclear matter,obtained through microscopic first-principle calculations, two sets of$Lambda_c N$ effective interactions were derived by fitting the potentialswith minimal uncertainty (Fermi momentum $k_{F,n} = 1.05~rm{fm}^{-1}$) andnear saturation density ($k_{F,n} = 1.35~rm{fm}^{-1}$). These DDRMF modelswere then used to explore the $Lambda_{c} N$ effective interactionuncertainties on the description of hypernuclear bulk and single-particleproperties. A systematic investigation was conducted on the existence of bound$Lambda_{c}^{+}$ hypernuclei. The dominant factors affecting the existence andstability of hypernuclei were analyzed from the perspective of the$Lambda_{c}^{+}$ potential. It is found that the hyperon potential is not onlyinfluenced by the Coulomb repulsion, but by an extra contribution from therearrangement terms due to the density dependence of the meson-baryon couplingstrengths. Therefore, the rearrangement term significantly impacts thestability description for light hypernuclei, while for heavier hypernuclei, thecontribution from Coulomb repulsion becomes increasingly significant andeventually dominant. The discussion then delves into the bulk andsingle-particle properties of charmed hypernuclei using these models. It isfound that even when different models yield similar hyperon potentials fornuclear matter, different treatments of nuclear medium effects could lead todisparities in the theoretical description of hypernuclear structures. Thisstudy indicates that constraints on the $ Lambda_{c} N $ interaction at finitedensities are crucial for the study of $ Lambda_{c}^{+} $ hypernuclearstructures.
在密度依赖相对论均场(DDRMF)理论框架内研究了粲$ Lambda_{c}^{+} $ 超核。从通过微观第一原理计算获得的对称核物质中的经验超子势开始,通过拟合具有最小不确定性(费米动量 $k_{F,n} = 1.05~rm{fm}^{-1}$)和接近饱和密度($k_{F,n} = 1.35~rm{fm}^{-1}$)的势,得出了两组$Lambda_c N$ 有效相互作用。然后,利用这些 DDRMF 模型来探索 $Lambda_{c} N$ 有效相互作用对描述超核块体和单粒子性质的不确定性。对束缚$Lambda_{c}^{+}$超核的存在进行了系统的研究。从$Lambda_{c}^{+}$势的角度分析了影响超核存在和稳定性的主要因素。研究发现,超子势不仅受到库仑斥力的影响,而且还受到介子-重子耦合强度的密度依赖性所导致的重排项的额外贡献。因此,重排项对轻超核的稳定性描述影响很大,而对较重的超核,库仑斥力的贡献越来越大,并最终占主导地位。随后,讨论利用这些模型深入探讨了粲超核的体质和单粒子性质。研究发现,即使不同模型产生的核物质超子势相似,对核介质效应的不同处理也会导致超核结构理论描述的差异。这项研究表明,在有限密度下对Lambda_{c} N $相互作用的约束对于研究Lambda_{c}^{+} $超核结构至关重要。
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引用次数: 0
Spin polarization of $Λ$ hyperons along beam direction in p+Pb collisions at $sqrt{s_{NN}}=8.16$ TeV using hydrodynamic approaches 在 $sqrt{s_{NN}}=8.16$ TeV 的 p+Pb 对撞中,采用流体力学方法使Λ$超子沿束流方向发生自旋极化
Pub Date : 2024-08-08 DOI: arxiv-2408.04296
Cong Yi, Xiang-Yu Wu, Jie Zhu, Shi Pu, Guang-You Qin
We have implemented the 3+1 dimensional CLVisc hydrodynamics model withTRENTO-3D initial conditions to investigate the spin polarization of $Lambda$hyperons along the beam direction in p+Pb collisions at $sqrt{s_{NN}} = 8.16$TeV. Following our previous theoretical framework based on quantum kinetictheory, we consider three different scenarios: $Lambda$ equilibrium, $s$ quarkequilibrium, and iso-thermal equilibrium scenarios. We have computed the secondFourier sine coefficients of spin polarization along the beam direction,denoted as $leftlangle P_{z} sin 2(phi_{p} - Psi_{2}) rightrangle$, with$phi_p$ being the azimuthal angle relative to the second-order event plane$Psi_{2}$, as functions of multiplicity and transverse momentum in the threescenarios. Additionally, we have also computed the spin polarization along thebeam direction, $P_{z}$, as a function of the azimuthal angle. We find that thespin polarization induced by thermal vorticity always provides an oppositecontribution compared to the shear-induced polarization in p+Pb collisions. Thetotal spin polarization computed by the current hydrodynamic model disagreeswith the data measured by LHC-CMS experiments. Our findings imply that othernon-flow effects may play a crucial role in p+Pb collisions.
我们在TRENTO-3D初始条件下实施了3+1维CLVisc流体力学模型,以研究在$sqrt{s_{NN}} = 8.16$TeV的p+Pb对撞中$Lambda$质子沿束流方向的自旋极化。按照我们之前基于量子动力学理论的理论框架,我们考虑了三种不同的情况:$Lambda$ 平衡、$s$ 夸克平衡和等热平衡。我们计算了自旋极化沿光束方向的二次傅里叶正弦系数,表示为:$leftlangle P_{z}sin 2(phi_{p} - Psi_{2}) right/rangle$,其中$phi_p$是相对于二阶事件平面$Psi_{2}$的方位角,它是三种情况下倍率和横动量的函数。此外,我们还计算了沿光束方向的自旋极化($P_{z}$)与方位角的函数关系。我们发现,与p+Pb碰撞中剪切诱导的极化相比,热涡度诱导的自旋极化总是提供了相反的贡献。当前流体力学模型计算的总自旋极化与 LHC-CMS 实验测量的数据不一致。我们的发现意味着其他非流动效应可能在p+Pb对撞中起着至关重要的作用。
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引用次数: 0
Photonuclear reactions on $^{59}$Co at bremsstrahlung end-point energies of 40-130 MeV 轫致辐射端点能量为 40-130 兆电子伏的 $^{59}$Co 上的光核反应
Pub Date : 2024-08-08 DOI: arxiv-2408.04252
F. A. Rasulova, S. S. Belyshev, M. A. Demichev, D. L. Demin, S. A. Evseev, N. Yu. Fursova, M. I. Gostkin, J. H. Khushvaktov, V. V. Kobets, A. A. Kuznetsov, S. V. Rozov, E. T. Ruziev, A. A. Solnyshkin, T. N. Tran, E. A. Yakushev, B. S. Yuldashev
Relative yields have been measured in the 40-130 MeV bremsstrahlung inducedreactions of 59Co. The experiments have been performed with the beam from theelectron linear accelerator LINAC-200 using the activation and off-line{gamma}-ray spectrometric technique. The bremsstrahlung photon flux has beencalculated with the Geant4 program. The cross sections were calculated by usingcomputer code TALYS-1.96 with different models and are found to be in goodagreement with the experimental data.
在 59Co 的 40-130 MeV 轫致辐射诱导反应中测量了相对产率。实验是利用电子直线加速器 LINAC-200 的光束,采用活化和离线{伽马}射线光谱技术进行的。轫致辐射光子通量是用 Geant4 程序计算的。利用不同模型的计算机代码 TALYS-1.96 计算了横截面,结果发现与实验数据十分吻合。
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引用次数: 0
Convergence properties of $T'$-Expansion Scheme: Hadron Resonance Gas and Cluster Expansion Model T'$膨胀方案的收敛特性:强子共振气体和簇膨胀模型
Pub Date : 2024-08-08 DOI: arxiv-2408.04588
Micheal Kahangirwe, Irene Gonzalez, Jorge A. Muñoz, Claudia Ratti, Volodymyr Vovchenko
In this study, we assess the effectiveness and robustness of the recentlyproposed $T'$-expansion scheme for expanding the equation of state of stronglyinteracting matter to finite density, by comparing its performance relative tothe conventional Taylor expansion method in various effective QCD models. Weuse baryon number density and its susceptibilities to calculate the expansioncoefficients in the $T'$-expansion scheme with and without the Stefan-Boltzmannlimit correction. Our methodology involves comparing truncation orders to exactsolutions to assess the scheme's accuracy. We utilize Ideal, Excluded Volume,and van der Waals formulations of the Hadron Resonance Gas (HRG) model at lowtemperatures, and the Cluster Expansion Model at higher temperatures. Ourfindings indicate that the $T'$-expansion scheme offers superior convergenceproperties near and above the chiral crossover temperature, where thechiral-criticality-inspired scaling $(partial/ partial T)_{mu_B} sim(partial^2/partial mu_B^2)_T$ holds. However, it shows limited improvementin the HRG models, indicating that it may not be the most suitable choice fordescribing the hadronic phase.
在这项研究中,我们评估了最近提出的$T'$展开方案的有效性和稳健性,通过比较它在各种有效QCD模型中相对于传统泰勒展开方法的性能,把强相互作用物质的状态方程展开到有限密度。我们利用重子数密度及其易感性来计算有斯蒂芬-波兹曼极限修正和没有斯蒂芬-波兹曼极限修正的$T'$展开方案中的展开系数。我们的方法包括将截断阶数与精确解进行比较,以评估方案的准确性。在低温条件下,我们使用了强子共振气体(HRG)模型的理想、排除体积和范德瓦耳斯公式;在高温条件下,我们使用了簇膨胀模型。我们的研究结果表明,$T'$膨胀方案在手性交叉温度附近和以上提供了优越的收敛特性,在这个温度下,手性临界启发的比例$(partial/ partial T)_{mu_B}sim((partial^2/partial mu_B^2)_T$成立。然而,它对HRG模型的改进有限,表明它可能不是描述强子阶段的最合适选择。
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引用次数: 0
The Wood-Saxon proton optical potential for p-nuclei 对核的伍德-撒克逊质子光势
Pub Date : 2024-08-07 DOI: arxiv-2408.03697
Sukhendu Saha, Dipali Basak, Chinmay Basu
A phenomenological mass-energy dependent proton optical model potential hasbeen computed for p-nuclei. The parameters of the Wood-Saxon optical potentialare found to be a good fit for proton elastic scattering data involvingp-nuclei and elements with mass numbers near p-nuclei (within the range of 74 <A < 148) at energies around the Coulomb barrier of the system. The elasticscattering data were meticulously fitted using the SFRESCO code, allowing forthe calculation of the real and imaginary parts of the Wood Saxon opticalpotential. To validate the model, experimental proton capture cross-sectionsfor 106Cd and 113In near the Coulomb barrier were compared with resultsobtained using the TALYS-1.96 code, showing better agreement than the availableglobal proton optical model potential.
针对 p 核计算了一个与质量能量相关的质子光学模型势。发现伍德-撒克逊光学势的参数很好地拟合了涉及 p 核和质量数接近 p 核(在 74
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引用次数: 0
How the Contact Can Produce Snowballs from Hell 接触如何产生地狱雪球
Pub Date : 2024-08-07 DOI: arxiv-2408.03935
Eric Braaten, Kevin Ingles, Justin Pickett
A loosely bound hadronic molecule produced by a relativistic heavy-ioncollision has been described as a "snowball in hell" since it emerges from ahadron gas whose temperature is orders of magnitude larger than the bindingenergy of the molecule. This remarkable phenomenon can be explained in terms ofa novel thermodynamic variable called the "contact" that is conjugate to thebinding momentum of the molecule. The production rate of the molecule can beexpressed in terms of the contact density at the kinetic freezeout of thehadron gas. It approaches a nonzero limit as the binding energy goes to 0.
相对论重离子对撞产生的松散束缚强子分子被描述为 "地狱中的雪球",因为它从强子气体中出现时的温度比分子的束缚能大几个数量级。这种非凡的现象可以用一种叫做 "接触 "的新热力学变量来解释,它与分子的结合能是共轭的。分子的生成率可以用哈德龙气体动力学冻结时的接触密度来表示。当结合能为 0 时,接触密度接近非零极限。
{"title":"How the Contact Can Produce Snowballs from Hell","authors":"Eric Braaten, Kevin Ingles, Justin Pickett","doi":"arxiv-2408.03935","DOIUrl":"https://doi.org/arxiv-2408.03935","url":null,"abstract":"A loosely bound hadronic molecule produced by a relativistic heavy-ion\u0000collision has been described as a \"snowball in hell\" since it emerges from a\u0000hadron gas whose temperature is orders of magnitude larger than the binding\u0000energy of the molecule. This remarkable phenomenon can be explained in terms of\u0000a novel thermodynamic variable called the \"contact\" that is conjugate to the\u0000binding momentum of the molecule. The production rate of the molecule can be\u0000expressed in terms of the contact density at the kinetic freezeout of the\u0000hadron gas. It approaches a nonzero limit as the binding energy goes to 0.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
arXiv - PHYS - Nuclear Theory
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