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3 results on '"A = 3"'

1. The Hyperspherical Harmonics Method: A Tool for Testing and Improving Nuclear Interaction Models

Author

Laura E. Marcucci, Jérémy Dohet-Eraly, Luca Girlanda, Alex Gnech, Alejandro Kievsky, and Michele Viviani

Subjects
hyperspherical harmonics method, ab initio methods, nuclear interactions, few-nucleon systems, light nuclei, A = 3, Physics, QC1-999
Abstract

The Hyperspherical Harmonics (HH) method is one of the most accurate techniques to solve the quantum mechanical problem for nuclear systems with a number of nucleons A ≤ 4. In particular, by applying the Rayleigh-Ritz or Kohn variational principle, both bound and scattering states can be addressed, using either local or non-local interactions. Thanks to this versatility, the method can be used to test the two- and three-nucleon components of the nuclear interaction. In the present review we introduce the formalism of the HH method, both for bound and scattering states. In particular, we describe the implementation of the method to study the A = 3 and 4 scattering problems. Second, we present a selected choice of results of the last decade, most representative of the latest achievements. Finally, we conclude with a discussion of what we believe will be the most significant developments within the HH method for the next 5–10 years.

Published
2020
Full Text
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2. The Hyperspherical Harmonics Method: A Tool for Testing and Improving Nuclear Interaction Models

Author

Marcucci, L.E., Dohet-Eraly, Jérémy, Girlanda, L., Gnech, Alex, Kievsky, A., Viviani, M., Marcucci, L.E., Dohet-Eraly, Jérémy, Girlanda, L., Gnech, Alex, Kievsky, A., and Viviani, M.

Abstract

The Hyperspherical Harmonics (HH) method is one of the most accurate techniques to solve the quantum mechanical problem for nuclear systems with a number of nucleons A ≤ 4. In particular, by applying the Rayleigh-Ritz or Kohn variational principle, both bound and scattering states can be addressed, using either local or non-local interactions. Thanks to this versatility, the method can be used to test the two- and three-nucleon components of the nuclear interaction. In the present review we introduce the formalism of the HH method, both for bound and scattering states. In particular, we describe the implementation of the method to study the A = 3 and 4 scattering problems. Second, we present a selected choice of results of the last decade, most representative of the latest achievements. Finally, we conclude with a discussion of what we believe will be the most significant developments within the HH method for the next 5–10 years., SCOPUS: re.j, info:eu-repo/semantics/published

Published
2020

3. The Hyperspherical Harmonics method: a tool for testing and improving nuclear interaction models

Author

Laura E. Marcucci, Jérémy Dohet-Eraly, Luca Girlanda, Alex Gnech, Alejandro Kievsky, Michele Viviani, Marcucci, L. E., Dohet-Eraly, J., Girlanda, L., Gnech, A., Kievsky, A., and Viviani, M.

Subjects
Nuclear Theory, 4 scattering, A = 3, ab initio methods, few-nucleon systems, hyperspherical harmonics method, light nuclei, nuclear interactions, Materials Science (miscellaneous), Biophysics, General Physics and Astronomy, FOS: Physical sciences, 01 natural sciences, Nuclear Theory (nucl-th), Theoretical physics, Variational principle, 0103 physical sciences, Physical and Theoretical Chemistry, 010306 general physics, Quantum, Mathematical Physics, Physics, Scattering, Généralités, Mechanical Problem, lcsh:QC1-999, ab initio method, Nuclear interaction, Formalism (philosophy of mathematics), Harmonics, Nucleon, lcsh:Physics, few-nucleon system
Abstract

The Hyperspherical Harmonics (HH) method is one of the most accurate techniques to solve the quantum mechanical problem for nuclear systems with a number of nucleons A ≤ 4. In particular, by applying the Rayleigh-Ritz or Kohn variational principle, both bound and scattering states can be addressed, using either local or non-local interactions. Thanks to this versatility, the method can be used to test the two- and three-nucleon components of the nuclear interaction. In the present review we introduce the formalism of the HH method, both for bound and scattering states. In particular, we describe the implementation of the method to study the A = 3 and 4 scattering problems. Second, we present a selected choice of results of the last decade, most representative of the latest achievements. Finally, we conclude with a discussion of what we believe will be the most significant developments within the HH method for the next 5–10 years., SCOPUS: re.j, info:eu-repo/semantics/published

Published
2019
Full Text
View/download PDF

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