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Fuzzy logic for reconstructing arbitrary moments of multiplicity distributions 重构多重性分布任意矩的模糊逻辑
Pub Date : 2024-09-15 DOI: arxiv-2409.09814
Anar Rustamov
The Identity Method is a statistical technique developed to reconstructmoments of multiplicity distributions of particles produced in high-energynuclear collisions. The method leverages principles from fuzzy logic, allowingfor a more nuanced representation of particle identification by assigningdegrees of membership to different particle types based on detector signals. Inthis contribution, a mathematical framework, based on a multivariate momentgeneration function, is developed that allows the derivation of the formulasused in the Identity Method in a more robust way. Moreover, within theintroduced framework, the Identity Method is easily extended to cope witharbitrarily higher-order moments. The techniques developed here offersignificant potential for improving the accuracy of multiplicity distributionanalyses in high-energy nuclear collisions. While the primary focus of the workpresented is on applications in high-energy and nuclear physics, it can also beapplied in other areas where signal identification is probabilistic and dataare noisy, such as medical imaging, remote sensing, and various other fields ofexperimental science.
同一性方法是一种统计技术,用于重建高能核碰撞中产生的粒子的倍率分布矩。该方法利用模糊逻辑原理,根据探测器信号为不同粒子类型分配成员度,从而更细致地表示粒子识别。在这一贡献中,基于多变量矩生成函数开发了一个数学框架,从而能够以更稳健的方式推导出 "同一性方法 "中使用的公式。此外,在引入的框架内,同一性方法很容易扩展,以应对任意的高阶矩。本文所开发的技术为提高高能核碰撞中倍率分布分析的准确性提供了巨大的潜力。虽然本文介绍的主要是高能物理和核物理中的应用,但它也可以应用于信号识别是概率性的和数据有噪声的其他领域,如医学成像、遥感和其他各种实验科学领域。
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引用次数: 0
The Current State of the Controversy over Screening in Nuclear Reactions 核反应中筛选问题的争议现状
Pub Date : 2024-09-15 DOI: arxiv-2409.09826
Werner Däppen
A controversy about the possibility of dynamic effects in nuclear screeninghas been around for several decades. On the one hand, there is the claim thatthere are no dynamic effects, and that the classic Salpeter correction based onstatic Debye screening is all that is needed for astrophysical applications.The size of the correction is on the order of 5% in typical solar fusionreactions. On the other hand, numerical simulations have shown that there is adynamical effect, which essentially cancels the Salpeter correction. Theresults of the numerical simulations were later independently confirmed. Theastrophysical community, however, has so far largely ignored the possibility ofdynamical screening. The present paper is meant to serve as a reminder of thecontroversy. Not only does the claim of an absence of a dynamical effectequally warrant an independent confirmation, but there is motivation forfurther investigation, such as the assessment of current laboratory experimentsand a quantitative study of the dynamical effect in case it will turn out to bereal.
关于核筛选中动态效应可能性的争论已经持续了几十年。一方面,有人声称不存在动态效应,在天体物理应用中只需要基于静态德拜筛选的经典 Salpeter 校正即可。另一方面,数值模拟表明,存在一种ynamical效应,它基本上可以抵消萨尔佩特校正。数值模拟的结果后来得到了独立证实。然而,迄今为止,天体物理学界在很大程度上忽视了动力学筛选的可能性。本文旨在提醒人们注意这一争论。不存在动力学效应的说法不仅需要得到独立的证实,而且还有进一步调查的动机,例如评估当前的实验室实验,以及对动力学效应进行定量研究,以防它被证明是真实的。
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引用次数: 0
Ab initio calculation of the $^3$He$(α,γ)^7$Be astrophysical S factor with chiral two- and three-nucleon forces 利用手性二核子和三核子力对 $^3$He$(α,γ)^7$Be 天体 S 因子的 Ab initio 计算
Pub Date : 2024-09-14 DOI: arxiv-2409.09515
M. C. Atkinson, K. Kravvaris, S. Quaglioni, P. Navrátil
The $^3$He$(alpha,gamma)^7$Be radiative capture reaction plays a key rolein the creation of elements in stars as well as in the production of solarneutrinos, the observation of which is one of the main tools to study theproperties of our sun. Since accurate experimental measurements of this fusioncross section at solar energies are difficult due to the strong Coulombrepulsion between the reactants, the onus falls on theory to provide a robustmeans for extrapolating from the region where experimental data is availabledown to the desired astrophysical regime. We present the first microscopiccalculations of $^3$He$(alpha,gamma)^7$Be with explicit inclusion ofthree-nucleon forces. Our prediction of the astrophysical $S$ factorqualitatively agrees with experimental data. We further incorporateexperimental bound-state and scattering information in our calculation toarrive at a more quantitative description. This process reveals that ourcurrent model lacks sufficient repulsion in the $1/2^+$ channel of our modelspace to simultaneously reproduce elastic-scattering data. This deficitsuggests that $^3$He$(alpha,gamma)^7$Be probes aspects of the nuclear forcethat are not currently well-constrained.
$^3$He$(α,γ)^7$Be辐射俘获反应在恒星元素的生成和太阳中微子的产生中起着关键作用,对它的观测是研究我们太阳特性的主要工具之一。由于反应物之间存在强大的库仑反作用力,在太阳能量下很难对这一聚变截面进行精确的实验测量,因此理论界有责任提供一种稳健的方法,从实验数据可用的区域向下推断所需的天体物理机制。我们首次提出了明确包含三核力的$^3$He$(alpha,gamma)^7$Be 的微观计算。我们对天体物理$S$因子的预测与实验数据基本吻合。我们在计算中进一步纳入了实验边界态和散射信息,以获得更定量的描述。这一过程揭示了我们目前的模型在模型空间的$1/2^+$通道中缺乏足够的斥力来同时再现弹性散射数据。这一不足表明,$^3$He$(α, γ)^7$Be探测了目前还没有得到很好约束的核力的各个方面。
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引用次数: 0
N$^{mathbf{3}}$LL + $mathcal{O}(α_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering N$^{mathbf{3}}$LL + $mathcal{O}(α_s^2)$ 预测深弹性散射中轻子射流的方位角分布
Pub Date : 2024-09-14 DOI: arxiv-2409.09248
Shen Fang, Mei-Sen Gao, Hai Tao Li, Ding Yu Shao
We present an analysis of lepton-jet azimuthal decorrelation indeep-inelastic scattering (DIS) at next-to-next-to-next-to-leading logarithmic(N$^{3}$LL) accuracy, combined with fixed-order corrections at$mathcal{O}(alpha_s^2)$. In this study, jets are defined in the lab frameusing the anti-$k_T$ clustering algorithm and the winner-take-all recombinationscheme. The N$^{3}$LL resummation results are derived from thetransverse-momentum dependent factorization formula within the soft-collineareffective theory, while the $mathcal{O}(alpha_s^2)$ fixed-order matchingdistribution is calculated using the {tt NLOJET++} event generator. Theazimuthal decorrelation between the jet and electron serves as a critical probeof the three-dimensional structure of the nucleon. Our numerical predictionsprovide a robust framework for precision studies of QCD and the nucleon'sinternal structure through jet observables in DIS. These results areparticularly significant for analyses involving jets in HERA data and theforthcoming electron-ion collider experiments.
我们以次对数(N$^{3}$LL)精度,结合$mathcal{O}(alpha_s^2)$的固定阶校正,对轻子射流方位角去相关非弹性散射(DIS)进行了分析。在这项研究中,利用反$k_T$聚类算法和赢家通吃重组方案,在实验室框架内定义了射流。N$^{3}$LL求和结果是由软碰撞效应理论中的反向动量相关因式推导出来的,而$mathcal{O}(alpha_s^2)$定阶匹配分布是用{tt NLOJET++}事件发生器计算出来的。射流与电子之间的方位相关性是核子三维结构的关键探测指标。我们的数值预测为通过DIS中的射流观测值精确研究QCD和核子内部结构提供了一个稳健的框架。这些结果对于在 HERA 数据和即将进行的电子-离子对撞机实验中涉及射流的分析尤为重要。
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引用次数: 0
Effect of Magnetic Fields on Urca Rates in Neutron Star Mergers 磁场对中子星合并中乌卡率的影响
Pub Date : 2024-09-14 DOI: arxiv-2409.09423
Pranjal Tambe, Debarati Chatterjee, Mark Alford, Alexander Haber
Isospin-equilibrating weak processes, called ``Urca" processes, are offundamental importance in astrophysical environments like (proto-)neutronstars, neutron star mergers, and supernovae. In these environments, matter canreach high temperatures of tens of MeVs and be subject to large magneticfields. We thus investigate Urca rates at different temperatures and fieldstrengths by performing the full temperature and magnetic-field dependent rateintegrals for different equations of state. We find that the magnetic fieldsplay an important role at temperatures of a few MeV, especially close to orbelow the direct Urca threshold, which is softened by the magnetic field. Athigher temperatures, the effect of the magnetic fields can be overshadowed bythe thermal effects. We observe that the magnetic field more stronglyinfluences the neutron decay rates than the electron capture rates, leading toa shift in chemical equilibrium.
被称为 "Urca "过程的等时空平衡弱过程,在(原)中子星、中子星合并和超新星等天体物理环境中具有极其重要的意义。在这些环境中,物质可以达到几十兆电子伏特的高温,并受到大磁场的影响。因此,我们通过对不同状态方程进行与温度和磁场相关的全速率积分,研究了不同温度和磁场强度下的Urca速率。我们发现,磁场在几MeV的温度下发挥着重要作用,特别是在接近或低于直接Urca阈值时,磁场会软化Urca阈值。在更高的温度下,磁场的作用会被热效应所掩盖。我们观察到,磁场对中子衰变率的影响比对电子俘获率的影响更大,从而导致化学平衡的改变。
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引用次数: 0
Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory 重重子SU(3)手性扰动理论中带有十亿分之一贡献的质子-核子散射
Pub Date : 2024-09-14 DOI: arxiv-2409.09388
Jing Ou-Yang, Bo-Lin Huang
We calculate the complete $T$ matrices with decuplet contributions forpion-nucleon scattering to order $mathcal{O}(epsilon^3)$ in heavy baryonSU(3) chiral perturbation theory. The baryon mass in the chiral limit $M_0$ andthe low-energy constants are determined by fitting to phase shifts of $pi N$,the experimental octet-baryon masses, and the value of $sigma_{pi N}$simultaneously. By using these constants, we obtain the accurate $KN$ $sigma$terms, $sigma_{KN}^{(1)}=(375.07pm33.02)$ MeV and$sigma_{KN}^{(2)}=(275.32pm32.24)$ MeV. An excellent description of the phaseshifts is obtained for all partial waves. We also present results forscattering lengths and scattering volumes. In addition, the convergence of theapproach is also discussed.
我们在重重子SU(3)手性扰动理论中计算了π-核子散射阶次为$mathcal{O}(epsilon^3)$的带有小数贡献的完整$T$矩阵。通过同时拟合 $pi N$ 的相移、实验八重子质量和 $sigma_{pi N}$ 的值,确定了手性极限 $M_0$ 的重子质量和低能常数。通过使用这些常数,我们得到了精确的 $KN$ $sigma$ 项:$sigma_{KN}^{(1)}=(375.07/pm33.02)$ MeV 和$sigma_{KN}^{(2)}=(275.32/pm32.24)$ MeV。所有部分波的相移都得到了很好的描述。我们还给出了散射长度和散射体积的结果。此外,我们还讨论了该方法的收敛性。
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引用次数: 0
Multiple-models prediction for light neutron-rich isotopes cross section by $Q_g$ systematics in $^{40}$Ar projectile fragmentation reactions ^{40}$Ar射弹碎裂反应中Q_g$系统学对轻中子富同位素截面的多模型预测
Pub Date : 2024-09-14 DOI: arxiv-2409.09367
X. B. Wei, H. L. Wei, C. W. Ma, C. Y. Qiao, Y. F. Guo, J. Pu, K. X. Cheng, Y. T. Wang, Z. X. Wang, T. R. Zhou, D. Peng, S. T. Wang, S. W. Tang, Y. H. Yu, X. H. Zhang, Y. Z. Sun, S. Y. Jin, G. L. Zhang, X. Jiang, Z. Y. Li, Y. F. Xu, F. H. Lu, T. Q. Liu
Precise predictions for nuclei near drip lines are crucial for experiments innew generation of rare isotope facilities. A multi-models investigation of the$Q_g$ systematics for fragments production cross sections, with $Q_g$ definedas the difference of mass excess (ME) between the projectile ($Z_{p}, A_{p}$)and the fragment ($Z_{f}, A_{f}$) nuclei $Q_{g}=ME(Z_{p}, A_{p})-ME(Z_{f},A_{f})$, has been performed to verify the model prediction abilities for lightneutron-rich isotopes in measured $^{40}$Ar + $^9$Be projectile fragmentationreactions from 57$A$ MeV to 1$A$ GeV. The models used are the FRACSparametrizations and the newly developed Bayesian neural networks (BNN) model.%method The results show that FRACS, BNN, and $Q_g$ extrapolations aregenerally consistent, except for fragments near the nuclear mass of theprojectile. Additionally, both measured data and model extrapolations provideevidence for a shell closure at $N=$ 16 in fluorine and neon, as well as thedisappearance of the traditional magic number $N=$ 20 in neon, sodium andmagnesium.
对滴流线附近的原子核进行精确预测对于新一代稀有同位素设施的实验至关重要。Q_g$定义为射弹($Z_{p}, A_{p}$)和碎片($Z_{f}、Q_{g}=ME(Z_{p}, A_{p})-ME(Z_{f},A_{f})$,以验证模型对从 57$A$ MeV 到 1$A$ GeV 的 $^{40}$Ar + $^9$Be 射弹碎裂反应中富轻中子同位素的预测能力。使用的模型是 FRACSparametrizations 和新开发的贝叶斯神经网络(BNN)模型。此外,测量数据和模型推断都为氟和氖在 $N=$ 16 时的壳关闭以及氖、钠和镁中传统神奇数字 $N=$ 20 的消失提供了证据。
{"title":"Multiple-models prediction for light neutron-rich isotopes cross section by $Q_g$ systematics in $^{40}$Ar projectile fragmentation reactions","authors":"X. B. Wei, H. L. Wei, C. W. Ma, C. Y. Qiao, Y. F. Guo, J. Pu, K. X. Cheng, Y. T. Wang, Z. X. Wang, T. R. Zhou, D. Peng, S. T. Wang, S. W. Tang, Y. H. Yu, X. H. Zhang, Y. Z. Sun, S. Y. Jin, G. L. Zhang, X. Jiang, Z. Y. Li, Y. F. Xu, F. H. Lu, T. Q. Liu","doi":"arxiv-2409.09367","DOIUrl":"https://doi.org/arxiv-2409.09367","url":null,"abstract":"Precise predictions for nuclei near drip lines are crucial for experiments in\u0000new generation of rare isotope facilities. A multi-models investigation of the\u0000$Q_g$ systematics for fragments production cross sections, with $Q_g$ defined\u0000as the difference of mass excess (ME) between the projectile ($Z_{p}, A_{p}$)\u0000and the fragment ($Z_{f}, A_{f}$) nuclei $Q_{g}=ME(Z_{p}, A_{p})-ME(Z_{f},\u0000A_{f})$, has been performed to verify the model prediction abilities for light\u0000neutron-rich isotopes in measured $^{40}$Ar + $^9$Be projectile fragmentation\u0000reactions from 57$A$ MeV to 1$A$ GeV. The models used are the FRACS\u0000parametrizations and the newly developed Bayesian neural networks (BNN) model.\u0000%method The results show that FRACS, BNN, and $Q_g$ extrapolations are\u0000generally consistent, except for fragments near the nuclear mass of the\u0000projectile. Additionally, both measured data and model extrapolations provide\u0000evidence for a shell closure at $N=$ 16 in fluorine and neon, as well as the\u0000disappearance of the traditional magic number $N=$ 20 in neon, sodium and\u0000magnesium.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142263064","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
Optical model potentials for deuteron scattering off $^{24}$Mg, $^{28}$Si, $^{58}$Ni, $^{90}$Zr, $^{116}$Sn, and $^{208}$Pb at $sim$100 MeV/nucleon 氘核在 $^{24}$Mg, $^{28}$Si, $^{58}$Ni, $^{90}$Zr, $^{116}$Sn 和 $^{208}$Pb 以 $sim$100 MeV/nucleon 发生散射时的光学模型电位
Pub Date : 2024-09-13 DOI: arxiv-2409.08517
D. Patel, D. C. Cuong, K. B. Howard, U. Garg, Dao T. Khoa, H. Akimune, G. P. A. Berg, M. Fujiwara, M. N. Harakeh, M. Itoh, C. Iwamoto, T. Kawabata, K. Kawase, J. T. Matta, T. Murakami, M. Yosoi
Angular distributions of the elastic and inelastic deuteron-nucleusscattering off $^{24}$Mg, $^{28}$Si, $^{58}$Ni, $^{90}$Zr, $^{116}$Sn, and$^{208}$Pb have been measured at a beam energy of 98 MeV/nucleon, with the goalof constraining the deuteron optical potential in this kinematical regime, andto extract the reduced transition probabilities for the ground-statetransitions to low-lying excited states of these nuclei. Two potential modelswere used in the analysis of the measured $(d,d)$ and $(d,d')$ data within theoptical model and the distorted-wave Born approximation: the phenomenologicaloptical model potential associated with the collective model of nuclearscattering, and the semi-microscopic double-folding model of thedeuteron-nucleus potential based on a realistic density-dependent M3Yinteraction. The deuteron optical potential and inelastic $(d,d')$ scatteringform factors were calculated using these two potential models, allowing for adirect comparison between the potential models as well as the validation of thededuced $Elambda$ transition rates.
在 98 MeV/核子的束流能量下,测量了^{24}$Mg、^{28}$Si、^{58}$Ni、^{90}$Zr、^{116}$Sn 和^{208}$Pb 的弹性和非弹性氘核散射的角度分布、目的是对这一运动机制中的氘核光学势进行约束,并提取这些原子核从基态过渡到低洼激发态的还原过渡概率。在分析光学模型和畸变波玻恩近似中的$(d,d)$ 和$(d,d')$ 测量数据时使用了两种电势模型:与核散射集体模型相关的现象学光学模型电势,以及基于现实密度依赖的 M3Y 作用的氘核电势半微观双折叠模型。利用这两种势模型计算了氘核光学势和非弹性 $(d,d')$ 散射形式因子,从而可以直接比较势模型之间的差异,并验证所诱导的 $Elambda$ 转换率。
{"title":"Optical model potentials for deuteron scattering off $^{24}$Mg, $^{28}$Si, $^{58}$Ni, $^{90}$Zr, $^{116}$Sn, and $^{208}$Pb at $sim$100 MeV/nucleon","authors":"D. Patel, D. C. Cuong, K. B. Howard, U. Garg, Dao T. Khoa, H. Akimune, G. P. A. Berg, M. Fujiwara, M. N. Harakeh, M. Itoh, C. Iwamoto, T. Kawabata, K. Kawase, J. T. Matta, T. Murakami, M. Yosoi","doi":"arxiv-2409.08517","DOIUrl":"https://doi.org/arxiv-2409.08517","url":null,"abstract":"Angular distributions of the elastic and inelastic deuteron-nucleus\u0000scattering off $^{24}$Mg, $^{28}$Si, $^{58}$Ni, $^{90}$Zr, $^{116}$Sn, and\u0000$^{208}$Pb have been measured at a beam energy of 98 MeV/nucleon, with the goal\u0000of constraining the deuteron optical potential in this kinematical regime, and\u0000to extract the reduced transition probabilities for the ground-state\u0000transitions to low-lying excited states of these nuclei. Two potential models\u0000were used in the analysis of the measured $(d,d)$ and $(d,d')$ data within the\u0000optical model and the distorted-wave Born approximation: the phenomenological\u0000optical model potential associated with the collective model of nuclear\u0000scattering, and the semi-microscopic double-folding model of the\u0000deuteron-nucleus potential based on a realistic density-dependent M3Y\u0000interaction. The deuteron optical potential and inelastic $(d,d')$ scattering\u0000form factors were calculated using these two potential models, allowing for a\u0000direct comparison between the potential models as well as the validation of the\u0000deduced $Elambda$ transition rates.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142269884","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
Heavy flavor angular correlations as a direct probe of the glasma 重味角相关性是对等离子体的直接探测
Pub Date : 2024-09-13 DOI: arxiv-2409.10565
Dana Avramescu, Vincenzo Greco, Tuomas Lappi, Heikki Mäntysaari, David Müller
We use classical equations of motion for heavy quarks to show that thepre-equilibrium glasma phase of a heavy ion collision has an extremely strongeffect on heavy quark angular correlations. At the same time, the effect on thesingle inclusive spectrum is much more moderate. This suggests that$Doverline{D}$ meson angular correlations in future LHC measurements couldprovide direct experimental access to the physics of the pre-equilibrium stage.
我们利用重夸克的经典运动方程证明,重离子碰撞的前平衡等离子阶段对重夸克角相关性的影响极其强烈。与此同时,它对单个包涵谱的影响要温和得多。这表明,在未来的大型强子对撞机测量中,$Doverline{D}$介子角相关性可以提供直接进入前平衡阶段物理的实验途径。
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引用次数: 0
Domain-wall Skyrmion phase of QCD in magnetic field: Gauge field dynamics 磁场中 QCD 的域壁 Skyrmion 相:量子场动力学
Pub Date : 2024-09-13 DOI: arxiv-2409.08841
Yuki Amari, Minoru Eto, Muneto Nitta
The ground state of QCD in sufficiently strong magnetic field at finitebaryon density is an inhomogeneous state consisting of an array of solitons,called the chiral soliton lattice (CSL). It is, however, replaced in a regionwith higher density and/or magnetic field by the so-called domain-wallSkyrmion(DWSk) phase where Skyrmions are created on top of the CSL. This waspreviously proposed within the Bogomol'nyi-Prasad-Sommerfield (BPS)approximation neglecting a gauge field dynamics and taking into account itseffect by a flux quantization condition. In this paper, by taking into accountdynamics of the gauge field, we show that the phase boundary between the CSLand DWSk phases beyond the BPS approximation is identical to the one obtainedin the BPS approximation. We also find that domain-wall Skyrmions areelectrically charged with the charge one as a result of the chiral anomaly.
在有限重子密度下,QCD 在足够强的磁场中的基态是一种非均质态,由称为手性孤子晶格(CSL)的孤子阵列组成。然而,在密度和/或磁场较高的区域,它被所谓的畴壁天顶子(DWSk)相所取代,在 CSL 的顶部产生了天顶子。这是在 Bogomol'nyi-Prasad-Sommerfield (BPS) 近似中提出的,该近似忽略了量规场动力学,并通过通量量化条件考虑了量规场的影响。在本文中,通过考虑量子场动力学,我们证明了超越 BPS 近似的 CSL 和 DWSk 相之间的相界与 BPS 近似中得到的相界完全相同。我们还发现,由于手性反常现象,畴壁天幕带电,电荷量为 1。
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引用次数: 0
期刊
arXiv - PHYS - Nuclear Theory
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