A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions

Using dispersive representations of the nucleon gravitational form factors, the results for their absorptive parts from chiral effective field theory in curved space-time, and the mechanical stability conditions, we obtain a model independent inequality for the value of the gravitational D(t) form f...

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Main Authors: Jambul Gegelia, Maxim V. Polyakov
Format: Article
Language:English
Published: Elsevier 2021-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269321005128
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spelling doaj-9796736f590e4904b771e4ab6f43d5a12021-10-09T04:36:30ZengElsevierPhysics Letters B0370-26932021-09-01820136572A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditionsJambul Gegelia0Maxim V. Polyakov1Ruhr-University Bochum, Faculty of Physics and Astronomy, Institute for Theoretical Physics II, D-44870 Bochum, Germany; High Energy Physics Institute, Tbilisi State University, 0186 Tbilisi, GeorgiaRuhr-University Bochum, Faculty of Physics and Astronomy, Institute for Theoretical Physics II, D-44870 Bochum, Germany; Petersburg Nuclear Physics Institute, Gatchina, 188300, St. Petersburg, Russia; Corresponding author.Using dispersive representations of the nucleon gravitational form factors, the results for their absorptive parts from chiral effective field theory in curved space-time, and the mechanical stability conditions, we obtain a model independent inequality for the value of the gravitational D(t) form factor at zero momentum transfer (Druck-term). In particular, the obtained inequality leads to a conservative bound on the Druck-term in the chiral limit D≤−0.95(9). This bound implies the restriction on the low-energy constant c8 of the effective chiral action for nucleons and pions in the presence of an external gravitational field, c8≤−1.1(1) GeV−1. For the physical pion mass we obtain a model independent bound D≤−0.20(2).http://www.sciencedirect.com/science/article/pii/S0370269321005128
collection DOAJ
language English
format Article
sources DOAJ
author Jambul Gegelia
Maxim V. Polyakov
spellingShingle Jambul Gegelia
Maxim V. Polyakov
A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
Physics Letters B
author_facet Jambul Gegelia
Maxim V. Polyakov
author_sort Jambul Gegelia
title A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
title_short A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
title_full A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
title_fullStr A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
title_full_unstemmed A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
title_sort bound on the nucleon druck-term from chiral eft in curved space-time and mechanical stability conditions
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2021-09-01
description Using dispersive representations of the nucleon gravitational form factors, the results for their absorptive parts from chiral effective field theory in curved space-time, and the mechanical stability conditions, we obtain a model independent inequality for the value of the gravitational D(t) form factor at zero momentum transfer (Druck-term). In particular, the obtained inequality leads to a conservative bound on the Druck-term in the chiral limit D≤−0.95(9). This bound implies the restriction on the low-energy constant c8 of the effective chiral action for nucleons and pions in the presence of an external gravitational field, c8≤−1.1(1) GeV−1. For the physical pion mass we obtain a model independent bound D≤−0.20(2).
url http://www.sciencedirect.com/science/article/pii/S0370269321005128
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