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Nuclear Theory·nucl-th

Wednesday·October 6, 2021

8 papers—4 primary·4 cross-listed

All8Primary4Cross-lists4
  1. 01

    Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory

    C.J. Yang🇸🇪 · W.G. Jiang🇸🇪 · S. Burrello🇩🇪 · M. Grasso🇫🇷

    We propose a novel idea to construct an effective interaction under energy-density-functional (EDF) theories which is adaptive to the enlargement of the model space. Guided by effective field theory principles, iterations of interactions as well as enlargements of the model space through particle-hole excitations are carried out for infinite nuclear matter and selected closed-shell nuclei (He, O, Ca, Ni and Sn) up to next-to-leading order. Our approach provides a new way for handling the nuclear matter and finite nuclei within the same scheme, with advantages from both EDF and ab initio approaches.

    nucl-thPRC(2022)·6 citations
  2. 02

    Analytic scattering parameters at low energies

    Evgeny Z. Liverts

    The scattering of two and more particles at low energies is described by the so called effective-range expansion. The leading terms of this expansion are the scattering length and effective range. The analytic expressions for both of the aforementioned scattering parameters are presented for the inverse-power potential and the Woods-Saxon potential. A technique for calculating the approximate scattering parameters is proposed. Approximate analytic formulas representing the scattering length and effective range are obtained for the Yukawa potential. The corresponding figures demonstrate a few interesting features of the effective range. All analytic formulas, both exact and approximate, were verified by comparing with the corresponding results obtained by direct numerical calculations. Wolfram Mathematica is heavily used. The presented results can be used with advantage in the fields of nuclear physics, atomic and molecular physics, quantum chemistry and many others.

    nucl-thmath-phmath.MPphysics.atom-ph+21 citation
  3. 03

    Jet-temperature anisotropy revealed through high- data

    Stefan Stojku🇷🇸 · Jussi Auvinen🇷🇸 · Lidija Zivkovic🇷🇸 · Pasi Huovinen🇷🇸 · Magdalena Djordjevic🇷🇸

    We explore to what extent, and how, high- data and predictions reflect the shape and anisotropy of the QCD medium formed in ultrarelativistic heavy-ion collisions. To this end, we use our recently developed DREENA-A framework, which can accommodate any temperature profile within the dynamical energy loss formalism. We show that the ratio of high- and predictions reaches a well-defined saturation value, which is directly proportional to the time-averaged anisotropy of the evolving QGP, as seen by the jets.

    nucl-thhep-phPLB(2022)·9 citations
  4. 04

    Spectral density reconstruction with Chebyshev polynomials

    Joanna E. Sobczyk🇩🇪 · Alessandro Roggero🇮🇹

    Accurate calculations of the spectral density in a strongly correlated quantum many-body system are of fundamental importance to study its dynamics in the linear response regime. Typical examples are the calculation of inclusive and semi-exclusive scattering cross sections in atomic nuclei and transport properties of nuclear and neutron star matter. Integral transform techniques play an important role in accessing the spectral density in a variety of nuclear systems. However, their accuracy is in practice limited by the need to perform a numerical inversion which is often ill-conditioned. In the present work we extend a recently proposed quantum algorithm which circumvents this problem. We show how to perform controllable reconstructions of the spectral density over a finite energy resolution with rigorous error estimates. An appropriate expansion in Chebyshev polynomials allows for efficient simulations also on classical computers. We apply our idea to reconstruct a simple model -- response function as a proof of principle. This paves the way for future applications in nuclear and condensed matter physics.

    nucl-thquant-phPRE(2022)·26 citations

Affiliations

first authorsco-authorsvia INSPIRE