Application of subtracted fixed-t dispersion relations to pion-nucleon scattering - INSPIRE

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Application of subtracted fixed-t dispersion relations to pion-nucleon scattering

J. Engels
(
- Bielefeld U.
)

1972

20 pages

Published in:

Nucl.Phys.B 36 (1972) 73-92

Published: 1972

DOI:

10.1016/0550-3213(72)90294-5

View in:

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Abstract: (Elsevier)

By application of subtracted fixed- t dispersion relations some implications of analyticity on πN phase-shift analyses are studied. The method consists in varying the subtraction point throughout the phase-shift region and expanding the unknown high-energy contribution in powers of the subtraction energy. As a result one obtains information on both the inaccurately known low-energy region - as an example we determine the S- and P-wave scattering lengths - and on energies above the phase-shift region, where a comparison is made to Regge fits. For −4 M < t < 4 m π 2 we are able to calculate the “subtraction function” A (+) ( ν = 0, t ), which is compared with the result from a fixed-ν dispersion relation.

pi nucleon: interaction
interaction: pi nucleon
partial-wave analysis
dispersion relation
scattering: length
length: scattering
regge poles
numerical calculations

References(19)

Figures(0)

[1]

πN partial wave amplitudes

[2]

Pion-nucleon phase shifts below 270 mev

Henry Nielsen
(
- Aarhus U.
)

- Nucl.Phys.B 30 (1971) 317-332
•
DOI:
- 10.1016/0550-3213(71)90165-9

[2]

The invariant amplitudes of pion-nucleon scattering in the unphysical region for t >= mu-squared and helicity amplitudes

Henry Nielsen
(
- Aarhus U.
)

- Nucl.Phys.B 33 (1971) 152-164
•
DOI:
- 10.1016/0550-3213(71)90393-2

[3]

Is a subtraction really necessary in the isospin even pi n dispersion relation?

G. Hoehler
(
- Karlsruhe U.
)
,
R. Strauss
(
- Karlsruhe U.
)

- Z.Phys. 232 (1970) 205-222
•
DOI:
- 10.1007/BF01391518

[4]

[5]

Coulomb corrections to low energy elastic and charge exchange pi n scattering

G.C. Oades
(
- Zurich U.
)
,
G. Rasche
(
- Zurich U.
)

- Helv.Phys.Acta 44 (1971) 5-32

[6]

Meson regge exchanges from simultaneous analysis of pi n scattering data and dispersion sum rules

Vernon D. Barger
(
- Wisconsin U., Madison
)
,
R.J.N. Phillips
(
- Rutherford
)

- Phys.Rev. 187 (1969) 2210-2221
•
DOI:
- 10.1103/PhysRev.187.2210

[7]

preprint, Univ. of Karlsruhe (October)

G. Höhler
,
R. Strauss

[8]

preprint, Univ. of Karlsruhe (March)

G. Höhler
,
H.P. Jakob
,
R. Strauss

[9]

Discrepancies between pi n charge exchange forward scattering data and the dispersion relation prediction

G. Hoehler
(
- Karlsruhe U.
)
,
R. Strauss
(
- Karlsruhe U.
)

- Z.Phys. 240 (1970) 377-391
•
DOI:
- 10.1007/BF01395574

[10]

The two-pion exchange contribution to meson-nucleon scattering in the low and intermediate-energy region

J.W. Alcock
(
- Bristol U.
)
,
W.N. Cottingham
(
- Bristol U.
)

- Nucl.Phys.B 31 (1971) 443-454
•
DOI:
- 10.1016/0550-3213(71)90244-6

[11]

Partial-Wave Dispersion Relations for the Process π+π→N+N¯

William R. Frazer
(
- LBL, Berkeley
)
,
Jose R. Fulco
(
- LBL, Berkeley
)

- Phys.Rev. 117 (1960) 1603-1609
•
DOI:
- 10.1103/PhysRev.117.1603

[12]

Meson-exchanges in the isospin zero t-channel of pion-nucleon scattering

J. Engels
(
- Karlsruhe U.
)

- Nucl.Phys.B 25 (1970) 141-158
•
DOI:
- 10.1016/0550-3213(71)90527-X

[13]

Thesis

R. Strauss

[14]

Compilation of coupling constants and low-energy parameters

G. Ebel

[15]

B. Renner

[16]

The total cross-sections for pion-proton scattering between 70 mev and 290 mev

- Nucl.Phys.B 26 (1971) 445-460
•
DOI:
- 10.1016/0550-3213(71)90188-X

[16]

The pi- p ---> pi0 n charge-exchange cross-sections between 90 mev and 290 mev

et al.

- Nucl.Phys.B 26 (1971) 588-596
•
DOI:
- 10.1016/0550-3213(71)90197-0

[17]

J. Ashkin

- Phys.Rev. 105 (1957) 724