Nuclear forces from chiral effective field theory

Machleidt, R.

doi:10.48550/arxiv.0704.0807

Cited by 11 publications

(15 citation statements)

References 56 publications

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“…In recent years, EFTs enjoyed considerable popularity and success in low-energy nuclear structure. Examples are the application of pion-less EFT to few-body systems [11], dilute Fermi gases with repulsive [12] and attractive [13,14,15] interactions, nuclear interactions based on chiral EFT [16,17,18], and the description of halo and cluster states within an EFT [19,20]. Effective field theories exploit a separation of scale, and provide us with a model independent description of physical phenomena based on observables [21,22].…”

Section: Introductionmentioning

confidence: 99%

Effective theory for deformed nuclei

Papenbrock

2011

Nuclear Physics A

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Section: Introductionmentioning

confidence: 99%

Effective theory for deformed nuclei

Papenbrock

2011

Nuclear Physics A

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“…Therefore, to have a reasonable theory with well-defined results, one must organize the perturbative expansion up to some defined orders. Look, for instance, at [69,70,71,72] and references therein, for some reviews of EFT approach to NN interaction.…”

Section: Effective Field Theory Approachmentioning

confidence: 99%

“…After mentioning main features of the previous HQ phenomenological and meson-exchange potentials, it is also argued in [194] that EFT approach to nuclear forces is better than all earlier efforts in that it produces a wished precession, gives satisfactory results in nuclear calculations as well as dealing with few-nucleon interactions on an equal footing as NN interaction. There are also some reviews and many other related issues and progress presented in [72] and [55].…”

Section: Idaho-group Chpt Potentialsmentioning

confidence: 99%

Nucleon-nucleon interaction: A typical/concise review

Naghdi

2014

Phys. Part. Nuclei

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Nearly a recent century of work is divided to Nucleon-Nucleon (NN) interaction issue. We review some overall perspectives of NN interaction with a brief discussion about deuteron, general structure and symmetries of NN Lagrangian as well as equations of motion and solutions. Meanwhile, the main NN interaction models, as frameworks to build NN potentials, are reviewed concisely. We try to include and study almost all well-known potentials in a similar way, discuss more on various commonly used plain forms for two-nucleon interaction with an emphasis on the phenomenological and meson-exchange potentials as well as the constituent-quark potentials and new ones based on chiral effective field theory and working in coordinate-space mostly. The potentials are constructed in a way that fit NN scattering data, phase shifts, and are also compared in this way usually. An extra goal of this study is to start comparing various potentials forms in a unified manner. So, we also comment on the advantages and disadvantages of the models and potentials partly with reference to some relevant works and probable future studies. * E-Mail: m.naghdi@mail.ilam.ac.ir

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“…Since the seminal papers of Weinberg [2][3][4], a lot of applications have been done with success for more than two decades. See Refs [5][6][7][8][9] for reviews. It still has a wide range of phenomena to be explored.…”

Section: Introductionmentioning

confidence: 99%

Pions are neither perturbative nor nonperturbative: Wilsonian renormalization-group analysis of nuclear effective field theory including pions

2011

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Pionful nuclear effective field theory (NEFT) in the two-nucleon sector is examined from the Wilsonian renormalization group point of view. The pion exchange is cut off at the floating cutoff scale, Λ, with the short-distance part being represented as contact interactions in accordance with the general principle of renormalization. We derive the nonperturbative renormalization group equations in the leading order of the nonrelativistic approximation in the operator space including up to O(p 2 ) and find the nontrivial fixed points in the 1 S0 and 3 S1-3 D1 channels which are identified with those in the pionless NEFT. The scaling dimensions, which determine the power counting, of the contact interactions at the nontrivial fixed points are also identified with those in the pionless NEFT. We emphasize the importance of the separation of the pion exchange into the short-distance and the long-distance parts, since a part of the former is nonperturbative while the latter is perturbative.

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Nuclear forces from chiral effective field theory

Abstract: In this lecture series, I present the recent progress in our understanding of nuclear forces in terms of chiral effective field theory.

Cited by 11 publications

References 56 publications

Effective theory for deformed nuclei

Effective theory for deformed nuclei

Nucleon-nucleon interaction: A typical/concise review

Pions are neither perturbative nor nonperturbative: Wilsonian renormalization-group analysis of nuclear effective field theory including pions

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