The Ab Initio No-core Shell Model

By B. Barrett, Petr Navrátil, J. Vary. 2001

658 citations recorded by the source corpus.

This contribution reviews a number of applications of the ab initio no-core shell model (NCSM) within nuclear physics and beyond. We will highlight a nuclear-structure study of the A = 12 isobar using a chiral NN + 3NF interaction. In the spirit of this workshop we will also mention the new development of the NCSM formalism to describe open channels and to approach the problem of nuclear reactions. Finally, we will illustrate the universality of the many-body problem by presenting the recent adaptation of the NCSM effective-interaction approach to study the many-boson problem in an external trapping potential with short-range interactions.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b590e80e523644166f04eea2710e9143218745ef

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In Nuclear and High Energy Physics

1. H. Hergert
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3. Martin Freer
4. Titus Morris
5. Dean Lee
6. Scott Bogner
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Citations in the corpus

• A Guided Tour of ab initio Nuclear Many-Body Theory (2020, background): “A common choice for the single-particle basis in the laboratory system are spherical harmonic oscillator (SHO) states, because they allow an exact separation of center-of-mass and intrinsic degrees of freedom provided one uses an energy-based truncation for the model space [129, 130].”
• Microscopic clustering in light nuclei (2017, methodology): “The method has had many remarkable successes in recent years in describing nuclear structure from first principles; see, e.g., Navrátil et al. (2007), Maris, Vary, and Shirokov (2009), Roth et al. (2011), and Barrett, Navrátil, and Vary (2013).”
• Cloud Quantum Computing of an Atomic Nucleus. (2018, methodology): “For example, wavefunction-based methods in nuclear physics [1–3] face the exponential growth of Hilbert space with increasing number of nucleons, while quantum Monte Carlo methods [4–6] are confronted with the fermion sign problem [7].”
• The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei (2015, methodology): “To do so, we would have to solve the eigenvalue problem of the Hamiltonian in the A-body system through exact diagonalization, and we could not even resort to large-scale NCSM machinery because it does not provide the full eigenbasis, but only the lowest eigenvalues and eigenvectors via Lanczos meth”