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We have studied the ground state properties (binding energy and charge radius) using relativistic mean filed formalism (RMF) for Mg-isotopes in the valley of stability to drip line region. The RMF densities have been analyzed in context of…

Nuclear Theory · Physics 2016-02-03 Mahesh K. Sharma , R. N. Panda , Manoj K. Sharma , S. K. Patra

The relativistic mean field theory with the Green's function method is taken to study the single-particle resonant states. Different from our previous work [Phys.Rev.C 90,054321(2014)], the resonant states are identified by searching for…

Nuclear Theory · Physics 2020-08-26 Cheng Chen , Zhi Pan Li , Yu Xiao Li , Ting-Ting Sun

The relativistic mean-field theory with Green's function method is extended to study $\Lambda$ hypernuclei. Taking hypernucleus $^{61}_{\Lambda}$Ca as an example, the single-particle resonant states for $\Lambda$ hyperons are investigated…

Nuclear Theory · Physics 2017-06-07 Su-Hong Ren , Ting-Ting Sun , Wei Zhang

Relativistic mean field theory is formulated with the Green's function method in coordinate space to investigate the single-particle bound states and resonant states on the same footing. Taking the density of states for free particle as a…

Nuclear Theory · Physics 2015-06-23 T. T. Sun , S. Q. Zhang , Y. Zhang , J. N. Hu , J. Meng

Halo is one of the most interesting phenomena in exotic nuclei especially for $^{31}$Ne, which is deemed to be a halo nucleus formed by a $p-$wave resonance. However, the theoretical calculations don't suggest a $p-$wave resonance using the…

Nuclear Theory · Physics 2017-08-02 Ya-Juan Tian , Quan Liu , Tai-Hua Heng , Jian-You Guo

Resonances are ubiquitous phenomena in nature, and physicists have developed many methods to explore resonant states. Of particular note is the complex momentum representation(CMR) method, which has been developed and widely used in the…

High Energy Physics - Phenomenology · Physics 2025-03-03 Wen-Wan He , Mao Song , Jian-You Guo , Xuan Luo , Gang Li

We present the continued fraction method (CFM) as a new microscopic approximation to the spectral density of the Hubbard model in the correlated metal phase away from half filling. The quantity expanded as a continued fraction is the single…

Strongly Correlated Electrons · Physics 2009-11-11 R. Hayn , P. Lombardo , K. Matho

A new analysis method to investigate halos in finite many-fermion systems is designed, as existing characterization methods are proven to be incomplete/inaccurate. A decomposition of the internal wave-function of the {$N$-body} system in…

Nuclear Theory · Physics 2013-05-29 V. Rotival , T. Duguet

In order to attain a statistical description of the evolution of cosmic density fluctuations in agreement with results from the numerical simulations, we introduce a probability conditional formalism (CF) based on an inventory of isolated…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-10 C. Firmani , V. Avila-Reese

Resonance plays critical roles in the formation of many physical phenomena, and several methods have been developed for the exploration of resonance. In this work, we propose a new scheme for resonance by solving the Dirac equation in…

Nuclear Theory · Physics 2016-08-16 Niu Li , Min Shi , Jian-You Guo , Zhong-Ming Niu , Haozhao Liang

The composite Fermion (CF) picture offers a simple intuitive way of understanding many of the surprising properties of a strongly interacting two-dimensional electron fluid in a large magnetic field. The simple way in which the mean field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John J. Quinn , Arkadiusz Wojs

Single-particle resonances in the continuum are crucial for studies of exotic nuclei. In this study, the Green's function approach is employed to search for single-particle resonances based on the relativistic-mean-field model. Taking…

Nuclear Theory · Physics 2021-05-11 Ya-Tian Wang , Ting-Ting Sun

Several recent works have introduced highly compact representations of single-particle Green's functions in the imaginary time and Matsubara frequency domains, as well as efficient interpolation grids used to recover the representations. In…

Strongly Correlated Electrons · Physics 2023-06-28 Nan Sheng , Alexander Hampel , Sophie Beck , Olivier Parcollet , Nils Wentzell , Jason Kaye , Kun Chen

The single-particle Green's function (GF) of mesoscopic structures plays a central role in mesoscopic quantum transport. The recursive GF technique is a standard tool to compute this quantity numerically, but it lacks physical transparency…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Shu-Hui Zhang , Wen Yang , Kai Chang

We present an extension of the modular recursive Green's function method (MRGM) for ballistic quantum transport to include magnetic fields. Dividing the non-separable two-dimensional scattering problem into separable substructures allows us…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Rotter , B. Weingartner , N. Rohringer , J. Burgdörfer

A generalization of the Complex Shell Model formalism is presented which includes antibound states in the basis. These states, together with bound states, Gamow states, and the continuum background, represented by properly chosen scattering…

Nuclear Theory · Physics 2007-05-23 R. Id Betan , R. J. Liotta , N. Sandulescu , T. Vertse , R. Wyss

We present an innovative cluster-based method employing linear combinations of diverse cluster mean-field (cMF) states, and apply it to describe the ground state of strongly-correlated spin systems. In cluster mean-field theory, the ground…

Strongly Correlated Electrons · Physics 2024-05-03 Athanasios Papastathopoulos-Katsaros , Thomas M. Henderson , Gustavo E. Scuseria

The ground state properties of He isotopes are studied in the nonlinear relativistic mean-field (RMF) theory with force parameters NL-SH and TM2. The modified Glauber model as a gatekeeper is introduced to check the calculations. The…

Nuclear Theory · Physics 2015-06-18 G. W. Fan , T. K. Dong , D. Nishimura

An extension of the generalized relativistic mean-field (gRMF) model with density dependent couplings is introduced in order to describe thermodynamical properties and the composition of dense nuclear matter for astrophysical applications.…

Nuclear Theory · Physics 2015-03-19 M. D. Voskresenskaya , S. Typel

Theoretical descriptions of non equilibrium dynamics of quantum many-body systems essentially employ either (i) explicit treatments, relying on truncation of the expansion of the many-body wave function, (ii) compressed representations of…

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