Effective theory for deformed nuclei

T. Papenbrock

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Effective theory for deformed nuclei

T. Papenbrock

Nuclear Theory · Submitted 23 Nov 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim A power counting is established and the Hamiltonian is constructed at next-to-leading order.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.05 · mentions code or data availability 0.02.

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Techniques from effective field theory are applied to nuclear rotation. This approach exploits the spontaneous breaking of rotational symmetry and the separation of scale between low-energy Nambu-Goldstone rotational modes and high-energy vibrational and nucleonic degrees of freedom. A power counting is established and the Hamiltonian is constructed at next-to-leading order.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Techniques from effective field theory are applied to nuclear rotation.	method 0.56	0.81	0.08	asserted 1.00
s1	This approach exploits the spontaneous breaking of rotational symmetry and the separation of scale between low-energy Nambu-Goldstone rotational modes and high-energy vibrational and nucleonic degrees of freedom.	method 0.94	0.42	0.13	asserted 1.00
s2	A power counting is established and the Hamiltonian is constructed at next-to-leading order.	contribution 0.74	0.90	0.23	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.74 · evidence from proof or derivation 0.95.

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The paper

Original abstract

Techniques from effective field theory are applied to nuclear rotation. This approach exploits the spontaneous breaking of rotational symmetry and the separation of scale between low-energy Nambu-Goldstone rotational modes and high-energy vibrational and nucleonic degrees of freedom. A power counting is established and the Hamiltonian is constructed at next-to-leading order.

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3 arXiv papers cite this in 8 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Builds on it 2 papers

In this paper we re-cast the particle-rotor model as a systematic Effective Field Theory (EFT), building on the successful and systematic description of even-even systems as rotors by Coello Pérez and Papenbrock [ref] .

An effective field theory approach to fermionic rotational bands in nuclei · Introduction · 0.99
This description of rotational bands in odd-mass nuclei builds on the successful EFT developed for even-even nuclei in Refs. [ref] .

Analyzing rotational bands in odd-mass nuclei using Effective Field Theory and Bayesian methods · Introduction · 0.97

Cites it as background 1 paper

Finally we turn to deformation, which can be treated ab initio in light nuclei with Green's Function Monte Carlo [ref] , with the standard or symplectic no-core shell model [ref] , and with lattice EFT [ref] , or within an EFT framework for heavy nuclei [ref] .

Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians · Introduction · 0.92

What it cites · 20 sentences without a confident label

Uses the method or tool of 1 paper

Here, we follow Leutwyler [ref] for a quicker derivation.

Nonrelativistic effective Lagrangians · Nambu-Goldstone modes revisited · 0.80

Compares with 1 paper

This is in contrast to algebraic models which are linear representations of the rotational symmetry and employ dynamical symmetries to remain computationally feasible [ref] .

A computationally tractable version of the collective model · Construction of low-energy Lagrangians · 0.95

Cites as background 7 papers

For an in-depth discussion of the quantization of constrained systems, the reader is refered to Ref. [ref] .

Quantizing Constrained Systems: New Perspectives · Legendre Transformation · 0.89
Recall that a low-energy Lagrangian can be understood as resulting from integrating out high-energy fermion modes in a more fundamental Lagrangian [ref] .

Five lectures on effective field theory · Odd-mass and odd-odd nuclei · 0.91
For detailed reviews of this matter, the reader is refered to Refs. [ref] .

Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems · Construction of low-energy Lagrangians · 1.00

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