Radiation pions in two nucleon effective field theory

Mehen, Thomas; Stewart, Iain W.

doi:10.1016/S0375-9474(99)00368-1

Radiation pions in two nucleon effective field theory

Thomas Mehen
(
- Caltech
)
,
Iain W. Stewart
(
- Caltech
)

Jan, 1999

14 pages

Published in:

Nucl.Phys.A 665 (2000) 164-182

e-Print:

nucl-th/9901064 [nucl-th]

DOI:

10.1016/S0375-9474(99)00368-1

Report number:

CALT-68-2210

View in:

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Abstract:

For interactions involving two or more nucleons it is useful to divide pions into three classes: potential, radiation, and soft. The momentum threshold for the production of radiation pions is

Q_r = \sqrt{M_N m_\pi}

. We show that radiation pions can be included systematically with a power counting in

Q_r

. The leading order radiation pion graphs which contribute to NN scattering are evaluated in the PDS and OS renormalization schemes and are found to give a small contribution. The power counting for soft pion contributions is also discussed.

nucleon nucleon: interaction
effective Lagrangian
pi: hadroproduction
nucleon nucleon: elastic scattering
Feynman graph: higher-order
renormalization

References(28)

Figures(0)

Nuclear forces from chiral Lagrangians

Steven Weinberg
(
- Texas U.
)

- Phys.Lett.B 251 (1990) 288-292
•
DOI:
- 10.1016/0370-2693(90)90938-3

Effective chiral Lagrangians for nucleon - pion interactions and nuclear forces

Steven Weinberg
(
- Texas U.
)

- Nucl.Phys.B 363 (1991) 3-18
•
DOI:
- 10.1016/0550-3213(91)90231-L

Chiral lagrangians and nuclear forces

C. Ordonez
(
- Texas U.
)
,
U. van Kolck
(
- Texas U.
)

- Phys.Lett.B 291 (1992) 459-464
•
DOI:
- 10.1016/0370-2693(92)91404-W

Nucleon-nucleon potential from an effective chiral Lagrangian

C. Ordonez
(
- Texas U.
)
,
L. Ray
(
- Texas U.
)
,
U. van Kolck
(
- Washington U., Seattle
)

- Phys.Rev.Lett. 72 (1994) 1982-1985
•
DOI:
- 10.1103/PhysRevLett.72.1982

The Two nucleon potential from chiral Lagrangians

C. Ordonez
(
- Texas U. and
- Vanderbilt U.
)
,
L. Ray
(
- Texas U.
)
,
U. van Kolck
(
- Washington U., Seattle
)

- Phys.Rev.C 53 (1996) 2086-2105
•
e-Print:
- hep-ph/9511380
•
DOI:
- 10.1103/PhysRevC.53.2086

Few nucleon forces from chiral Lagrangians

U. van Kolck
(
- Washington U., Seattle
)

- Phys.Rev.C 49 (1994) 2932-2941
•
DOI:
- 10.1103/PhysRevC.49.2932

How to renormalize the Schrodinger equation

G.P. Lepage
(
- Cornell U., LNS
)

•
e-Print:
- nucl-th/9706029

Nucleon - nucleon scattering from effective field theory

David B. Kaplan
(
- Washington U., Seattle
)
,
Martin J. Savage
(
- Carnegie Mellon U.
)
,
Mark B. Wise
(
- Caltech
)

- Nucl.Phys.B 478 (1996) 629-659
•
e-Print:
- nucl-th/9605002
•
DOI:
- 10.1016/0550-3213(96)00357-4

A New expansion for nucleon-nucleon interactions

David B. Kaplan
(
- Washington U., Seattle
)
,
Martin J. Savage
(
- Washington U., Seattle
)
,
Mark B. Wise
(
- Caltech
)

- Phys.Lett.B 424 (1998) 390-396
•
e-Print:
- nucl-th/9801034
•
DOI:
- 10.1016/S0370-2693(98)00210-X

Two nucleon systems from effective field theory

David B. Kaplan
(
- Washington U., Seattle
)
,
Martin J. Savage
(
- Washington U., Seattle
)
,
Mark B. Wise
(
- Caltech
)

- Nucl.Phys.B 534 (1998) 329-355
•
e-Print:
- nucl-th/9802075
•
DOI:
- 10.1016/S0550-3213(98)00440-4

Nucleon-nucleon interaction and isospin violation

U. van Kolck
(
- Washington U., Seattle
)

- In *Mainz 1997, Chiral dynamics: Theory and experiment* 62-77,
- Lect.Notes Phys. 513 (1998) 62
•
e-Print:
- hep-ph/9711222
•
DOI:
- 10.1007/BFb0104898