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The effective interaction/operator problem in nuclear physics is believed to be highly nonperturbative, requiring extended high-momentum spaces for accurate solution. We trace this to difficulties that arise at both short and long distances…

核理论 · 物理学 2009-11-07 W. C. Haxton , T. Luu

The localized active space self consistent field (LASSCF) method factorizes a complete active space (CAS) wave function into an antisymmetrized product of localized active space wave function fragments. Correlation between fragments is then…

化学物理 · 物理学 2024-03-26 Valay Agarawal , Daniel King , Matthew R. Hermes , Laura Gagliardi

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this…

量子物理 · 物理学 2015-06-24 C. Senko , P. Richerme , J. Smith , A. Lee , I. Cohen , A. Retzker , C. Monroe

The energy spectrum of two short-range interacting particles in a harmonic potential trap has previously been related to free-space scattering phase shifts. But the existing formula for this purpose is exact only in the limit of an…

核理论 · 物理学 2020-05-20 Xilin Zhang

The charmonium-nucleon effective central interactions have been computed by the time-dependent HAL QCD method. This gives an updated result of a previous study based on the time-independent method, which is now known to be problematic…

高能物理 - 格点 · 物理学 2018-04-18 Takuya Sugiura , Yoichi Ikeda , Noriyoshi Ishii

Effective field theories have been successful in describing nuclei up to the alpha particle but face significant challenges for larger nuclei due to leading-order instabilities. These issues can be addressed with the introduction of a fake…

核理论 · 物理学 2025-12-02 U. van Kolck

We compute the ground state energy of two atoms in a one-dimensional geometry of a harmonic optical trap. We obtain a dependence of the energy on a one-dimensional scattering length, which corresponds to various strengths of the interaction…

原子物理 · 物理学 2015-06-16 I. S. Ishmukhamedov , D. S. Valiolda , S. A. Zhaugasheva

Working in the framework of the ab-initio no-core shell model, we derive two-body effective interactions microscopically for specific harmonic-oscillator basis spaces from the realistic Argonne V8' nucleon-nucleon potential. However, our…

核理论 · 物理学 2007-05-23 M. S. Fayache , J. P. Vary , B. R. Barrett , P. Navratil , S. Aroua

Solutions to the nuclear many-body problem rely on effective interactions, and in general effective operators, to take into account effects not included in calculations. These include effects due to the truncation to finite model spaces…

核理论 · 物理学 2013-01-09 I. Stetcu , J. Rotureau

We introduce a new class of effective interactions to be used within the energy-density-functional approaches. They are based on regularized zero-range interactions and constitute a consistent application of the effective-theory methodology…

核理论 · 物理学 2012-10-29 J. Dobaczewski , K. Bennaceur , F. Raimondi

The hyperspherical harmonic (HH) method has been widely applied in recent times to the study of the bound states, using the Rayleigh-Ritz variational principle, and of low-energy scattering processes, using the Kohn variational principle,…

核理论 · 物理学 2008-11-26 A. Kievsky , S. Rosati , M. Viviani , L. E. Marcucci , L. Girlanda

We establish the general form of effective interacting Hamiltonian for LaOFeAs system based on the symmetry consideration. The peculiar symmetry property of the electron states yields unusual form of electron-electron interaction. Based on…

超导电性 · 物理学 2008-06-11 Junren Shi

The adaptive perturbation method decomposes a Hamiltonian by the diagonal elements and non-diagonal elements of the Fock state. The diagonal elements of the Fock state are solvable but can contain the information about coupling constants.…

高能物理 - 理论 · 物理学 2020-12-25 Chen-Te Ma

A microscopic formulation of the interacting boson-fermion model for odd-$A$ nuclei is made using the nuclear energy density functional framework. Strength parameters for the bosonic Hamiltonian and boson-fermion interactions are shown to…

核理论 · 物理学 2025-09-22 M. Homma , K. Nomura

We present a novel scheme for nuclear structure calculations based on realistic nucleon-nucleon potentials. The essential ingredient is the explicit treatment of the dominant interaction-induced correlations by means of the Unitary…

核理论 · 物理学 2009-11-10 R. Roth , T. Neff , H. Hergert , H. Feldmeier

The Schroedinger equation is solved for an A-nucleon system using an expansion of the wave function in nonsymmetrized hyperspherical harmonics. Our approach is both an extension and a modification of the formalism developed by Gattobigio et…

核理论 · 物理学 2015-06-12 Sergio Deflorian , Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

The effective spin Hamiltonian is constructed in the framework of the almost half-filled Hubbard model on the Cayley tree by means of functional integral technique with the use of static approximation. The system in the ground state appears…

强关联电子 · 物理学 2008-11-11 M. I. Auslender , M. I. Katsnelson

The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechanical few-body system is problematic when applied to particles interacting through contact forces. In dimensions higher than one the approach…

介观与纳米尺度物理 · 物理学 2017-03-28 M. Rontani , G. Eriksson , S. Åberg , S. M. Reimann

A contact potential describing an effective interaction between atomic $^4$He reproducing the results obtained with the HFDHE2 potential by Aziz et al. is employed to study the resulting equation of state by means of Quantum Monte Carlo…

量子气体 · 物理学 2022-11-02 Hilla De-Leon , Francesco Pederiva

An integrable model for SU($\nu$) electrons with inverse-square interaction is studied for the system with confining harmonic potential. We develop a new description of the spectrum based on the {\it renormalized harmonic-oscillators} which…

凝聚态物理 · 物理学 2009-10-22 N. Kawakami