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Related papers: R-matrix Methods with an application to 12C(alpha,…

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We extend the formalism of weak interaction processes, obtaining new expressions for the transition rates, which greatly facilitate numerical calculations, both for neutrino-nucleus reactions and muon capture. We have done a thorough study…

Nuclear Theory · Physics 2015-06-04 A. R. Samana , F. Krmpotić , N. Paar , C. A. Bertulani

The molecular algebraic model based on three and four alpha clusters is used to describe the inelastic scattering of alpha particles populating low-lying states in $^{12}$C and $^{16}$O. Optical potentials and inelastic formfactors are…

Nuclear Theory · Physics 2021-02-03 J. Casal , L. Fortunato , E. G. Lanza , A. Vitturi

Around 1950, Wigner introduced the idea of modelling physical reality with an ensemble of random matrices while studying the energy levels of heavy atomic nuclei. Since then, the field of random-matrix theory has grown tremendously, with…

Atomic Physics · Physics 2012-08-22 Jean-Christophe Pain

Massive stars are crucial to galactic chemical evolution for elements heavier than iron. Their contribution at early times in the evolution of the Universe, however, is unclear due to poorly constrained nuclear reaction rates. The competing…

Some problems in nuclear astrophysics are discussed with emphasize on the ones central to the field which were not solved over the last two decades, including Helium Burning in Massive stars (the 12C(a,g)16O reaction) and the 8B Solar…

Nuclear Theory · Physics 2016-09-08 Moshe Gai

Systematic R-matrix calculations of electron-impact excitation for ions of astrophysical interest have been performed since 2007 for many iso-electronic sequences as part of the UK Atomic Process for Astrophysical Plasma (APAP) network.…

Atomic Physics · Physics 2025-04-08 G. Del Zanna , G. Liang , J. Mao , N. R. Badnell

The status of RHIC theory and phenomenology is reviewed with an emphasis on the indications for the creation of a new deconfined state of matter. The critical role of high energy nuclear physics in the development of theoretical tools that…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ivan Vitev

The catastrophe theory, an effective method for the description of phase transitions, is applied to the Semimicroscopic Algebraic Cluster Model (SACM) as an example of a non-trivial theory. The ground state and excited, rotational phase…

Nuclear Theory · Physics 2017-11-28 E. Lopez-Moreno , P. O. Hess , H. Yepez-Martinez

We investigate the applicability of a random-matrix model to the description of non-collective excitations in heavy-ion reactions around the Coulomb barrier. To this end, we study fusion in the reaction $^{16}$O + $^{208}$Pb, taking account…

Nuclear Theory · Physics 2015-06-17 S. Yusa , K. Hagino , N. Rowley

Thomas-Fermi theory is developed to evaluate nuclear matrix elements averaged on the energy shell, on the basis of independent particle Hamiltonians. One- and two-body matrix elements are compared with the quantal results and it is…

Nuclear Theory · Physics 2010-12-23 X. Vinas , P. Schuck , M. Farine , M. Centelles

We give an overview of the theoretical description of nuclear reactions involving weakly-bound nuclei. Some of the more widespread reaction formalisms employed in the analysis of these reactions are briefly introduced, including various…

Nuclear Theory · Physics 2024-12-23 A. M. Moro , J. Casal , M. Gomez-Ramos

Inclusive neutrino-nucleus cross sections are calculated using a consistent relativistic mean-field theoretical framework. The weak lepton-hadron interaction is expressed in the standard current-current form, the nuclear ground state is…

Nuclear Theory · Physics 2010-02-26 N. Paar , D. Vretenar , T. Marketin , P. Ring

We develop the formalism based on the S-matrix for $3 \to 3$ scattering to derive the direct three-body resonant radiative capture reaction rate. Within this formalism the states, which decay only/predominantly directly into three-body…

Nuclear Theory · Physics 2009-11-11 L. V. Grigorenko , M. V. Zhukov

We present shell model calculations of both the structure of 17F and the reactions 16O(p,gamma)17F, 16O(p,p)16O. We use the ZBM interaction which provides a good description of the properties of 16O and neighbouring nuclei and, in…

Nuclear Theory · Physics 2009-11-06 K. Bennaceur , N. Michel , F. Nowacki , J. Okolowicz , M. Ploszajczak

Sensitivities of nuclear reaction rates to a variation of nuclear properties are studied. Target nuclei range from proton- to neutron-dripline for 10<=Z<=83. Reactions considered are nucleon- and alpha-induced reactions mediated by the…

Solar and Stellar Astrophysics · Physics 2015-03-13 T. Rauscher

Results obtained by us are overviewed from a general set up. The universal $R$-matrix is exploited to obtain various important relations and structures involved in quantum group algebra, which are used subsequently for generating different…

High Energy Physics - Theory · Physics 2008-02-03 Anjan Kundu

The status of the theoretical description of neutrino-nuclear interaction for low and intermediate energies is reviewed and its result compared with the existing data. Particular emphasis is on $^{12}$C, the ingredient of liquid…

Nuclear Theory · Physics 2007-05-23 Petr Vogel

This study develops an algorithm to reproduce reaction route maps (RRMs) in shape space from the outputs of potential search algorithms. To demonstrate this, GRRM is utilized as a potential search algorithm but the proposed algorithm should…

Atomic nuclei are complex, quantum many-body systems whose structure manifests itself through intrinsic quantum states associated with different excitation modes or degrees of freedom. Collective modes (vibration and/or rotation) dominate…

Nuclear Theory · Physics 2015-05-19 Alexis Diaz-Torres

A quantitative description of the properties of hot nuclear matter will be needed for the interpretation of the available and forthcoming astrophysical data, providing information on the post merger phase of a neutron star coalescence. We…

Nuclear Theory · Physics 2022-11-30 Lucas Tonetto , Omar Benhar