Applied nonrelativistic conformal field theory: Scattering-length and effective-range corrections to rate of production of three neutrons at low relative momenta

被引:3
作者
Chowdhury, Subham Dutta [1 ]
Mishra, Ruchira [1 ]
Son, Dam Thanh [1 ]
机构
[1] Univ Chicago, Kadanoff Ctr Theoret Phys, Chicago, IL 60637 USA
关键词
INVARIANCE;
D O I
10.1103/PhysRevD.109.016001
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
收藏
页数:26
相关论文
共 32 条
[1]   Gravity duals for nonrelativistic conformal field theories [J].
Balasubramanian, Koushik ;
McGreevy, John .
PHYSICAL REVIEW LETTERS, 2008, 101 (06)
[2]   Logarithmic enhancements in conformal perturbation theory and their real time interpretation [J].
Berenstein, David ;
Miller, Alexandra .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2020, 35 (29)
[3]   Interpretation of Neutral Charm Mesons near Threshold as Unparticles [J].
Braaten, Eric ;
Hammer, Hans-Werner .
PHYSICAL REVIEW LETTERS, 2022, 128 (03)
[4]   Universality in few-body systems with large scattering length [J].
Braaten, Eric ;
Hammer, H. -W. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 428 (5-6) :259-390
[5]   Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies [J].
Bzowski, Adam ;
McFadden, Paul ;
Skenderis, Kostas .
JOURNAL OF HIGH ENERGY PHYSICS, 2016, (03)
[6]   A note on the large charge expansion in 4d CFT [J].
Cuomo, Gabriel .
PHYSICS LETTERS B, 2021, 812
[7]   Observation of a correlated free four-neutron system [J].
Duer, M. ;
Aumann, T. ;
Gernhaeuser, R. ;
Panin, V. ;
Paschalis, S. ;
Rossi, D. M. ;
Achouri, N. L. ;
Ahn, D. ;
Baba, H. ;
Bertulani, C. A. ;
Boehmer, M. ;
Boretzky, K. ;
Caesar, C. ;
Chiga, N. ;
Corsi, A. ;
Cortina-Gil, D. ;
Douma, C. A. ;
Dufter, F. ;
Elekes, Z. ;
Feng, J. ;
Fernandez-Dominguez, B. ;
Forsberg, U. ;
Fukuda, N. ;
Gasparic, I. ;
Ge, Z. ;
Gheller, J. M. ;
Gibelin, J. ;
Gillibert, A. ;
Hahn, K. I. ;
Halasz, Z. ;
Harakeh, M. N. ;
Hirayama, A. ;
Holl, M. ;
Inabe, N. ;
Isobe, T. ;
Kahlbow, J. ;
Kalantar-Nayestanaki, N. ;
Kim, D. ;
Kim, S. ;
Kobayashi, T. ;
Kondo, Y. ;
Koerper, D. ;
Koseoglou, P. ;
Kubota, Y. ;
Kuti, I. ;
Li, P. J. ;
Lehr, C. ;
Lindberg, S. ;
Liu, Y. ;
Marques, F. M. .
NATURE, 2022, 606 (7915) :678-682
[8]   The large-charge expansion for Schrodinger systems [J].
Favrod, Samuel ;
Orlando, Domenico ;
Reffert, Susanne .
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (12)
[9]   Correlation functions in the nonrelativistic AdS/CFT correspondence [J].
Fuertes, Carlos A. ;
Moroz, Sergej .
PHYSICAL REVIEW D, 2009, 79 (10)
[10]   Unparticle physics [J].
Georgi, Howard .
PHYSICAL REVIEW LETTERS, 2007, 98 (22)