arXiv: Nuclear Theory最新文献_第8页

Microscopic derivation of density functional theory for superfluid systems based on effective action formalism 基于有效作用形式论的超流体系统密度泛函理论的微观推导

arXiv: Nuclear Theory Pub Date : 2020-08-13 DOI: 10.1093/ptep/ptaa173

Takeru Yokota, Haruki Kasuya, Kenichi Yoshida, T. Kunihiro

{"title":"Microscopic derivation of density functional theory for superfluid systems based on effective action formalism","authors":"Takeru Yokota, Haruki Kasuya, Kenichi Yoshida, T. Kunihiro","doi":"10.1093/ptep/ptaa173","DOIUrl":"https://doi.org/10.1093/ptep/ptaa173","url":null,"abstract":"Density-functional theory for superfluid systems is developed in the framework of the functional renormalization group based on the effective action formalism. We introduce the effective action for the particle-number and nonlocal pairing densities and demonstrate that the Hohenberg-Kohn theorem for superfluid systems is established in terms of the effective action. The flow equation for the effective action is then derived, where the flow parameter runs from $0$ to $1$, corresponding to the non-interacting and interacting systems. From the flow equation and the variational equation that the equilibrium density satisfies, we obtain the exact expression for the Kohn-Sham potential generalized to including the pairing potentials. The resultant Kohn-Sham potential has a nice feature that it expresses the microscopic formulae of the external, Hartree, pairing, and exchange-correlation terms, separately. It is shown that our Kohn-Sham potential gives the ground-state energy of the Hartree-Fock-Bogoliubov theory by neglecting the correlations. An advantage of our exact formalism lies in the fact that it provides ways to systematically improve the correlation part.","PeriodicalId":8463,"journal":{"name":"arXiv: Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85801318","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: 5

Charge-exchange dipole excitations in deformed nuclei 变形核中的电荷交换偶极激发

arXiv: Nuclear Theory Pub Date : 2020-08-10 DOI: 10.1103/physrevc.102.054336

Kenichi Yoshida

{"title":"Charge-exchange dipole excitations in deformed nuclei","authors":"Kenichi Yoshida","doi":"10.1103/physrevc.102.054336","DOIUrl":"https://doi.org/10.1103/physrevc.102.054336","url":null,"abstract":"Background: The electric giant-dipole resonance (GDR) is the most established collective vibrational mode of excitation. A charge-exchange analog, however, has been poorly studied in comparison with the spin (magnetic) dipole resonance (SDR). Purpose: I investigate the role of deformation on the charge-exchange dipole excitations and explore the generic features as an isovector mode of excitation. Methods: The nuclear energy-density functional method is employed for calculating the response functions based on the Skyrme--Kohn--Sham--Bogoliubov method and the proton-neuton quasiparticle-random-phase approximation. Results: The deformation splitting into $K=0$ and $K=pm 1$ components occurs in the charge-changing channels and is proportional to the magnitude of deformation as is well known for the GDR. For the SDR, however, a simple assertion based on geometry of a nucleus cannot be applied for explaining the vibrational frequencies of each $K$-component. A qualitative argument on the strength distributions for each component is given based on the non-energy-weighted sum rules taking nuclear deformation into account. The concentration of the electric dipole strengths in low energy and below the giant resonance is found in neutron-rich unstable nuclei. Conclusions: The deformation splitting occurs generically for the charge-exchange dipole excitions as in the neutral channel. The analog pygmy dipole resonance can emerge in deformed neutron-rich nuclei as well as in spherical systems.","PeriodicalId":8463,"journal":{"name":"arXiv: Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85009771","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: 2

Shape Transition to a Rare Shape Phase of Prolate Non-collective in A = 100 Isobars. a = 100等压线中长形非集体的形状向稀有形状阶段的转变。

arXiv: Nuclear Theory Pub Date : 2020-08-06 DOI: 10.15415/jptrm.2014.21004

M. Aggarwal

引用次数: 1

Amplitude- and truncated partial-wave analyses combined: A single-channel method for extracting photoproduction multipoles directly from measured data 振幅和截断部分波分析相结合:直接从测量数据中提取光生产多极子的单通道方法

arXiv: Nuclear Theory Pub Date : 2020-08-04 DOI: 10.1103/physrevc.102.064609

A. Švarc, Y. Wunderlich, L. Tiator

引用次数: 0

Hanbury-Brown–Twiss interferometry and collectivity in p+p, p+Pb, and Pb+Pb collisions p+p, p+Pb和Pb+Pb碰撞中的Hanbury-Brown-Twiss干涉测量和集体性

arXiv: Nuclear Theory Pub Date : 2020-08-04 DOI: 10.1103/PHYSREVC.102.054908

C. Plumberg

引用次数: 3

Novel feature of doubly bubble nuclei in 50 ≤ Z(N) ≤ 82 region along with magicity and weakly bound structure 双泡核在50≤Z(N)≤82区域的新特征，具有磁性和弱束缚结构

arXiv: Nuclear Theory Pub Date : 2020-08-01 DOI: 10.1142/S0218301320500688

M. Kumawat, G. Saxena, M. Kaushik, S. Jain, J. K. Deegwal, M. Aggarwal

引用次数: 0

Linear stability of Israel-Stewart theory in the presence of net-charge diffusion 净电荷扩散下Israel-Stewart理论的线性稳定性

arXiv: Nuclear Theory Pub Date : 2020-07-31 DOI: 10.1103/physrevd.102.116009

C. Brito, G. Denicol

引用次数: 6

Nuclear symmetry energy from neutron skins and pure neutron matter in a Bayesian framework 贝叶斯框架下中子表皮和纯中子物质的核对称能

arXiv: Nuclear Theory Pub Date : 2020-07-31 DOI: 10.1103/PhysRevC.103.064323

W. Newton, G. Crocombe

{"title":"Nuclear symmetry energy from neutron skins and pure neutron matter in a Bayesian framework","authors":"W. Newton, G. Crocombe","doi":"10.1103/PhysRevC.103.064323","DOIUrl":"https://doi.org/10.1103/PhysRevC.103.064323","url":null,"abstract":"We present an inference of the nuclear symmetry energy magnitude $J$, the slope $L$ and the curvature $K_{rm sym}$ by combining neutron skin data on Ca, Pb and Sn isotopes and our best theoretical information about pure neutron matter (PNM). A Bayesian framework is used to consistently incorporate prior knowledge of the PNM equation of state from chiral effective field theory calculations. Neutron skins are modeled in a Hartree-Fock approach using an extended Skyrme energy-density functional which allows for independent variation of $J$, $L$ and $K_{rm sym}$ without affecting the symmetric nuclear matter equation of state. We discuss the choice of neutron skin data sets, and combining errors in quadrature we obtain 95% credible values of $J=31.3substack{+4.2 -5.9}$ MeV, $L=40substack{+34 -26}$ MeV and $K_{tau} = L - 6K_{rm sym}= -444substack{+100 -84}$ MeV using uninformative priors in $J$, $L$ and $K_{rm sym}$, and $J=31.9substack{+1.3 -1.3}$ MeV, $L=37substack{+9 -8}$ MeV and $K_{tau} = -480substack{+25 -26}$ MeV using PNM priors. The correlations between symmetry energy parameters induced by neutron skin data is discussed and compared with the droplet model. Neutron skin data alone is shown to place limits on the symmetry energy parameters as stringent as those obtained from chiral effective field theory alone, and when combined the 95% credible intervals are reduced by a factor of 4-5. Ahead of new measurements of lead and calcium neutron skins from parity-violating electron scattering experiments at Jefferson Lab and Mainz Superconducting Accelerator, we make predictions based on existing data on neutron skins of tin for the neutron skins of calcium and lead of 0.166$pm$0.008 fm and $0.169 pm 0.014$ fm respectively, using uninformative priors, and 0.167$pm$0.008 fm and $0.172 pm 0.015$ fm respectively, using PNM priors.","PeriodicalId":8463,"journal":{"name":"arXiv: Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78020791","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: 17

Three-body model for $K(1460)$ resonance 三体模型为$K(1460)$共振

arXiv: Nuclear Theory Pub Date : 2020-07-31 DOI: 10.1103/PHYSREVC.102.045805

I. Filikhin, R. Kezerashvili, V. Suslov, S. Tsiklauri, B. Vlahovic

{"title":"Three-body model for $K(1460)$ resonance","authors":"I. Filikhin, R. Kezerashvili, V. Suslov, S. Tsiklauri, B. Vlahovic","doi":"10.1103/PHYSREVC.102.045805","DOIUrl":"https://doi.org/10.1103/PHYSREVC.102.045805","url":null,"abstract":"The three-body $KKbar K$ model for the $K(1460)$ resonance is developed on the basis of the Faddeev equations in configuration space. A single-channel approach is using with taking into account the difference of masses of neutral and charged kaons. It is demonstrated that a splitting the mass of the $K(1460)$ resonance takes a place around 1460 MeV according to $K^0K^0{bar K}^0$, $K^0K^+K^-$ and $K^+K^0{bar K}^0$, $ K^+K^+K^-$ neutral and charged particle configurations, respectively. The calculations are performed with two sets of $KK$ and $Kbar K$ phenomenological potentials, where the latter interaction is considered the same for the isospin singlet and triplet states. The effect of repulsion of the $KK$ interaction on the mass of the $KKbar K$ system is studied and the effect of the mass polarization is evaluated. The first time the Coulomb interaction for description of the $K(1460)$ resonance is considered. The mass splitting in the $K$(1460) resonances is evaluated to be in range of 10 MeV with taking into account the Coulomb force. The three-body model with the $Kbar K$ potential, which has the different strength of the isospin singlet and triplet parts that are related by the condition of obtaining a quasi-bound three-body state is also considered. Our results are in reasonable agreement with the experimental mass of the $K(1460)$ resonance.","PeriodicalId":8463,"journal":{"name":"arXiv: Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83879965","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: 4

Far-from-equilibrium search for the QCD critical point QCD临界点的非平衡搜索

arXiv: Nuclear Theory Pub Date : 2020-07-29 DOI: 10.1103/physrevd.102.074017

Travis Dore, J. Noronha-Hostler, E. McLaughlin

引用次数: 20