Defining the proton radius: A unified treatment - INSPIRE

DataBETA

Defining the proton radius: A unified treatment

Gerald A. Miller
(
- Washington U., Seattle
)

Dec 6, 2018

11 pages

Published in:

Phys.Rev.C 99 (2019) 3, 035202

Published: Mar 7, 2019

e-Print:

1812.02714 [nucl-th]

DOI:

10.1103/PhysRevC.99.035202

Report number:

NT@UW-18-20

View in:

reference search109 citations

Citations per year

Abstract: (APS)

Background: There is significant current interest in knowing the value of the proton radius and also its proper definition. Purpose: Combine the disparate literatures of hydrogen spectroscopy and diverse modern parton distributions to understand the meaning of the proton radius in a manner consistent with the separate bodies of work. Methods: Use perturbation theory, light-front dynamics, and elementary techniques to find relativistically correct definitions of the proton radius and charge density. Results: It is found that the very same proton radius is accessed by measurements of hydrogen spectroscopy and elastic lepton scattering. The derivation of the mean-square radius as a moment of a spherically symmetric three-dimensional density is shown to be incorrect. A relativistically correct, two-dimensional charge density is related to the diverse modern literature of various parton distributions. Relativistically invariant moments thereof are derived in a new relativistic moment expansion, the RME. Conclusion: The equation rp2≡−6GE′(0) is the definition of the proton radius.

Note:

18 pages, two figures. Replacement involves improving the language and adding a reference

Hadronic Physics and QCD
charge: density
parton: distribution function
lepton: scattering
symmetry: rotation
dimension: 3
form factor: electromagnetic
moment
p: wave function
form factor: Dirac

References(95)

Figures(2)

[1]

The size of the proton

et al.

- Nature 466 (2010) 213-216
•
DOI:
- 10.1038/nature09250

[2]

Proton Structure from the Measurement of $2S-2P$ Transition Frequencies of Muonic Hydrogen

Aldo Antognini
(
- Munich, Max Planck Inst. Quantenopt. and
- Zurich, ETH
)
,
Francois Nez
(
- Paris, Lab. Kastler Brossel and
- Paris U., VI-VII
)
,
Karsten Schuhmann
(
- Zurich, ETH and
- Unlisted, DE
)
,
Fernando D. Amaro
(
- Coimbra U.
)
,
FrancoisBiraben
(
- Paris, Lab. Kastler Brossel and
- Paris U., VI-VII
)

et al.

- Science 339 (2013) 417-420
•
DOI:
- 10.1126/science.1230016

[3]

Evaluation of the strength of electron-proton scattering data for determining the proton charge radius

M. Horbatsch
(
- York U., Canada
)
,
E.A. Hessels
(
- York U., Canada
)

- Phys.Rev.C 93 (2016) 1, 015204
•
e-Print:
- 1509.05644
•
DOI:
- 10.1103/PhysRevC.93.015204

[4]

Natural Resolution of the Proton Size Puzzle

G.A. Miller
(
- Washington U., Seattle
)
,
A.W. Thomas
(
- Adelaide U.
)
,
J.D. Carroll
(
- Adelaide U.
)
,
J. Rafelski
(
- Arizona U.
)

- Phys.Rev.A 84 (2011) 020101
•
e-Print:
- 1101.4073
•
DOI:
- 10.1103/PhysRevA.84.020101

[5]

Muonic hydrogen and the proton radius puzzle

- Ann.Rev.Nucl.Part.Sci. 63 (2013) 175-204
•
e-Print:
- 1301.0905
•
DOI:
- 10.1146/annurev-nucl-102212-170627

[6]

The Proton Radius Puzzle

Carl E. Carlson
(
- William-Mary Coll.
)

- Prog.Part.Nucl.Phys. 82 (2015) 59-77
•
e-Print:
- 1502.05314
•
DOI:
- 10.1016/j.ppnp.2015.01.002

[7]

The Rydberg constant and proton size from atomic hydrogen

et al.

- Science 358 (2017) 6359, 79-85
•
DOI:
- 10.1126/science.aah6677

[8]

New Measurement of the $1S-3S$ Transition Frequency of Hydrogen: Contribution to the Proton Charge Radius Puzzle

et al.

- Phys.Rev.Lett. 120 (2018) 18, 183001
•
e-Print:
- 1801.08816
•
DOI:
- 10.1103/PhysRevLett.120.183001

[9]

The PRad experiment and the proton radius puzzle

PRad at JLab

Collaboration

•

Ashot Gasparian

for the collaboration.

- EPJ Web Conf. 73 (2014) 07006
•
DOI:
- 10.1051/epjconf/20147307006

[10]

Studying the Proton "Radius" Puzzle with \mu p Elastic Scattering

MUSE

Collaboration

•

R. Gilman
(
- Rutgers U., Piscataway
)

et al.

e-Print:
- 1303.2160

[11]

Nuclear Structure

A. Bohr
,
B.R. Mottelson

[12]

Structure of the Nucleus

M.A. Preston
,
R.K. Bhaduri

[13]

Subatomic Physics

H. Frauenfelder
,
E.M. Henley

[14]

Elementary Particle Physics

D.C. Cheng
,
G.K. O'Neill

[15]

Quarks And Leptons: An Introductory Course In Modern Particle Physics

F. Halzen
,
A.D. Martin

[16]

Introductory Nuclear Physics

S.S.M. Wong

[17]

The Structure of the Nucleon

A.W. Thomas
,
W. Weise

[18]

Electromagnetic Interactions and Hadronic Structure

F. Close
,
S. Donnachie
,
G. Shaw
,
R. Ent

[19]

Electron scattering and nuclear structure

Robert Hofstadter
(
- Stanford U., Phys. Dept.
)

- Rev.Mod.Phys. 28 (1956) 214-254
•
DOI:
- 10.1103/RevModPhys.28.214

[20]

R. Hofstadter
,
F. Bumiller
,
M.R. Yearian

- Rev.Mod.Phys. 30 (1958) 482
•
DOI:
- 10.1103/RevModPhys.30.482

[21]

The Electron Scattering Method & its Application to the Structure of Nuclei and Nucleons

R. Hofstadter

[22]

Gluons and the quark sea at high energies: Distributions, polarization, tomography

et al.

e-Print:
- 1108.1713

[23]

Physics Opportunities with the 12 GeV Upgrade at Jefferson Lab

Jozef Dudek
(
- Jefferson Lab and
- Old Dominion U.
)
,
Rolf Ent
(
- Jefferson Lab
)
,
Rouven Essig
(
- YITP, Stony Brook
)
,
K.S. Kumar
(
- Massachusetts U., Amherst
)
,
Curtis Meyer
(
- Carnegie Mellon U.
)

et al.

- Eur.Phys.J.A 48 (2012) 187
•
e-Print:
- 1208.1244
•
DOI:
- 10.1140/epja/i2012-12187-1

[24]

Viewing the proton through 'color' filters

Xiang-dong Ji
(
- Maryland U.
)

- Phys.Rev.Lett. 91 (2003) 062001
•
e-Print:
- hep-ph/0304037
•
DOI:
- 10.1103/PhysRevLett.91.062001

[25]

On the quantum correction for thermodynamic equilibrium

Eugene P. Wigner
(
- Princeton U.
)

- Phys.Rev. 40 (1932) 749-760
•
DOI:
- 10.1103/PhysRev.40.749

1-25 of 95
1
2
3
4
25 / page