Applied nonrelativistic conformal field theory: scattering-length and effective-range corrections to unnuclear physics
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909068231180288 |
|---|---|
| author | Chowdhury, Subham Dutta Mishra, Ruchira Son, Dam Thanh |
| author_facet | Chowdhury, Subham Dutta Mishra, Ruchira Son, Dam Thanh |
| contents | Due to an accidentally large $s$-wave scattering length, in a relatively wide range of energy, neutrons are approximately described by the nonrelativistic conformal field theory of unitarity fermions, perturbed by one relevant and an infinite number of irrelevant operators. We develop a formalism which provides a nonperturbative definition of local operators in that nonrelativistic conformal field theory. We compute the scattering-length and effective-range corrections to the two-point functions of primary charge-three operators using the technique of conformal perturbation theory. These calculations allow us to find the first corrections to the scale-invariant behavior of the rate of nuclear reactions with three neutrons in the final state in the regime when the neutrons have small relative momenta. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15177 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Applied nonrelativistic conformal field theory: scattering-length and effective-range corrections to unnuclear physics Chowdhury, Subham Dutta Mishra, Ruchira Son, Dam Thanh High Energy Physics - Theory Nuclear Theory Due to an accidentally large $s$-wave scattering length, in a relatively wide range of energy, neutrons are approximately described by the nonrelativistic conformal field theory of unitarity fermions, perturbed by one relevant and an infinite number of irrelevant operators. We develop a formalism which provides a nonperturbative definition of local operators in that nonrelativistic conformal field theory. We compute the scattering-length and effective-range corrections to the two-point functions of primary charge-three operators using the technique of conformal perturbation theory. These calculations allow us to find the first corrections to the scale-invariant behavior of the rate of nuclear reactions with three neutrons in the final state in the regime when the neutrons have small relative momenta. |
| title | Applied nonrelativistic conformal field theory: scattering-length and effective-range corrections to unnuclear physics |
| topic | High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2309.15177 |