Recent Progress of Shell-Model Calculations, Monte Carlo Shell Model, and Quasi-Particle Vacua Shell Model
Nuclear shell model is a powerful approach to investigate nuclear structure microscopically. However, the computational cost of shell-model calculations becomes huge in medium-heavy nuclei. I briefly review the theoretical framework and the code developments of the conventional Lanczos diagonalizati...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Physics |
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| Online Access: | https://www.mdpi.com/2624-8174/4/3/71 |
| _version_ | 1797483463849279488 |
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| author | Noritaka Shimizu |
| author_facet | Noritaka Shimizu |
| author_sort | Noritaka Shimizu |
| collection | DOAJ |
| description | Nuclear shell model is a powerful approach to investigate nuclear structure microscopically. However, the computational cost of shell-model calculations becomes huge in medium-heavy nuclei. I briefly review the theoretical framework and the code developments of the conventional Lanczos diagonalization method for shell-model calculations. In order to go beyond the conventional diagonalization method, the Monte Carlo shell model and the quasiparticle-vacua shell model were introduced. I present some benchmark examples of these models. |
| first_indexed | 2024-03-09T22:47:18Z |
| format | Article |
| id | doaj.art-54537ba61394474b9e074a60b8ddf3a6 |
| institution | Directory Open Access Journal |
| issn | 2624-8174 |
| language | English |
| last_indexed | 2024-03-09T22:47:18Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Physics |
| spelling | doaj.art-54537ba61394474b9e074a60b8ddf3a62023-11-23T18:25:51ZengMDPI AGPhysics2624-81742022-09-01431081109310.3390/physics4030071Recent Progress of Shell-Model Calculations, Monte Carlo Shell Model, and Quasi-Particle Vacua Shell ModelNoritaka Shimizu0Center for Computational Sciences and Faculty of Pure and Applied Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba 305-8577, JapanNuclear shell model is a powerful approach to investigate nuclear structure microscopically. However, the computational cost of shell-model calculations becomes huge in medium-heavy nuclei. I briefly review the theoretical framework and the code developments of the conventional Lanczos diagonalization method for shell-model calculations. In order to go beyond the conventional diagonalization method, the Monte Carlo shell model and the quasiparticle-vacua shell model were introduced. I present some benchmark examples of these models.https://www.mdpi.com/2624-8174/4/3/71nuclear shell model calculationseigenvalue problemMonte Carlo shell modelquasiparticle-vacua shell model |
| spellingShingle | Noritaka Shimizu Recent Progress of Shell-Model Calculations, Monte Carlo Shell Model, and Quasi-Particle Vacua Shell Model Physics nuclear shell model calculations eigenvalue problem Monte Carlo shell model quasiparticle-vacua shell model |
| title | Recent Progress of Shell-Model Calculations, Monte Carlo Shell Model, and Quasi-Particle Vacua Shell Model |
| title_full | Recent Progress of Shell-Model Calculations, Monte Carlo Shell Model, and Quasi-Particle Vacua Shell Model |
| title_fullStr | Recent Progress of Shell-Model Calculations, Monte Carlo Shell Model, and Quasi-Particle Vacua Shell Model |
| title_full_unstemmed | Recent Progress of Shell-Model Calculations, Monte Carlo Shell Model, and Quasi-Particle Vacua Shell Model |
| title_short | Recent Progress of Shell-Model Calculations, Monte Carlo Shell Model, and Quasi-Particle Vacua Shell Model |
| title_sort | recent progress of shell model calculations monte carlo shell model and quasi particle vacua shell model |
| topic | nuclear shell model calculations eigenvalue problem Monte Carlo shell model quasiparticle-vacua shell model |
| url | https://www.mdpi.com/2624-8174/4/3/71 |
| work_keys_str_mv | AT noritakashimizu recentprogressofshellmodelcalculationsmontecarloshellmodelandquasiparticlevacuashellmodel |