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Grant support

We would like to thank M. Frosini, J. M. Yao, A. Tichai and V. Soma for helping us benchmarking our code against their own solvers, and M. Drissi and P. Arthuis for testing the code and scripts. We would also like to thank W. Ryssens for helpful discussions on the Heavy-Ball method and L. M. Robledo for fruitful discussions. Finally, we would like to thank M. Frosini for performing the transformation of the chiral interaction provided initially by R. Roth. T. R. R. acknowledges the support from the SpanishMinisterio de Ciencia e Innovaciosn under contract PGC2018-094583-B-I00. This project has received funding from the European Union'sHorizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 839847. We acknowledge the computer resources and assistance provided by Centro de Computacion Cientifica-Universidad Autonoma de Madrid (CCC-UAM).

Analysis of institutional authors

Bally, BCorresponding AuthorRodriguez, TrAuthor

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March 22, 2021
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Article

Symmetry-projected variational calculations with the numerical suite TAURUS: I. Variation after particle-number projection

Publicated to:EUROPEAN PHYSICAL JOURNAL A. 57 (2): 69- - 2021-02-01 57(2), DOI: 10.1140/epja/s10050-021-00369-z

Authors: Bally, B.; Sanchez-Fernandez, A.; Rodriguez, T. R.;

Affiliations

Ctr Invest Avanzada Fis Fundamental CIAFF UAM, Madrid 28049, Spain - Author
Univ Autonoma Madrid, Dept Fis Teor, E-28049 Madrid, Spain - Author

Abstract

We present the numerical code TAURUSvap that solves the variation after particle-number projection equations for real general Bogoliubov quasiparticle states represented in a spherical harmonic oscillator basis. The model space considered is invariant under spatial and isospin rotations but no specific set of orbits is assumed such that the code can carry out both valence-space and no-core calculations. In addition, no number parity is assumed for the Bogoliubov quasiparticle states such that the code can be used to describe even-even, odd-even and odd-odd nuclei. The variational procedure can be performed under several simultaneous constraints on the expectation values of a variety of operators such as the multipole deformations, the pairing field or the components of the angular momentum. To demonstrate the potential and versatility of the code, we perform several example calculations using an empirical shell-model interaction as well as a chiral interaction. The ability to perform advanced variational Bogoliubov calculations offered by this code will, we hope, be beneficial to the shell model and ab initio communities.

Keywords

Astronomia / físicaBiotecnologíaEngenharias iiiEngenharias ivEnsinoInterdisciplinarMedicina iiNuclear and high energy physicsPhysics, nuclearPhysics, particles & fields

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal EUROPEAN PHYSICAL JOURNAL A due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2021, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Nuclear and High Energy Physics.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.71. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 1.32 (source consulted: FECYT Feb 2024)
  • Field Citation Ratio (FCR) from Dimensions: 9.52 (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-16, the following number of citations:

  • WoS: 9
  • Scopus: 10
  • Google Scholar: 9
  • Open Alex: 17

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-16:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 5.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 5 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 0.25.
  • The number of mentions on the social network X (formerly Twitter): 1 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (BALLY, BENJAMIN) and Last Author (RODRIGUEZ FRUTOS, TOMAS RAUL).

the author responsible for correspondence tasks has been BALLY, BENJAMIN.