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Title Towards studying the structural differences between the pion and its radial excitation
Authors Nikhil Sridharan Karthik, Xiang Gao, Swagato Mukherjee, Peter Petreczky, Sergey Syritsyn, Y. Zhao
JLAB number JLAB-THY-21-3311
LANL number arXiv:2101.11632
Other number DOE/OR/23177-5120
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
Other Funding:DE-FG02-04ER41302
 

Journal
Compiled for Physical Review D
Volume 103
Page(s) 094510
Refereed
Publication Abstract: We present an exploratory lattice QCD investigation of the differences between the valence quark structure of pion and its radial excitation $\pi(1300)$ in a fixed finite volume using the leading-twist perturbative matching framework. We present evidences that the first pion excitation in our lattice computation is a single particle state that is likely to be the finite volume realization of $\pi(1300)$. An analysis with reasonable priors result in better estimates of the excited state PDF and the moments, wherein we find evidence that the radial excitation of pion correlates with an almost two-fold increase in the momentum fraction of valence quarks. This proof-of-principle work establishes the viability of future lattice computations incorporating larger operator basis that can resolve the structural changes accompanying hadronic excitation.
Experiment Numbers:
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.103.094510
Accepted Manuscript: PhysRevD.103.094510.pdf
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