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Erratum to “threshold neutral pion electroproduction in heavy baryon chiral perturbation theory”
NUCLEAR PHYSICS A ELSEVIER
Nuclear Physics A 633 (1998) 695-697
Erratum
Erratum to "Threshold neutral pion electroproduction in heavy baryon chiral perturbation theory" [Nucl. Phys. A607 (1996) 379-401] * V. Bernard a, N. Kaiser u, Ulf-G. M e i g n e r c a Laboratoire de Physique Thdorique, Institut de Physique, 3-5 rue de l'Universitd, F-67084 Strasbourg Cedex, France and Centre de Recherches Nucldaires, Physique Thiorique, BP 28, F-67037 Strasbourg Cedex 2, France b Technische Universitiit Miinchen, Physik Department T39, James-Franck-Strafle, D-85747 Garching, Germany c FZ J~ilich, 1KP (Theorie), D-52425 Ju'lich, Germany
Some typographical errors and incorrect figures appeared in the paper. The correct form of b v in Eq. (45) reads 5 _ 3.13 GeV_3. bye- (4,rrF~r)3 In the calculations, the correct form was used. Furthermore, in the production of Figs. 5,7 and 8, some incorrect files were read. The corrected figures are shown below. The Swave cross section ao is monotonically increasing with increasing [kl2, different from the relativistic calculation. None of the conclusions given in the paper change or need modification. We are grateful to Michael Distler for some independent checks.
* PII of original article: S0375-9474(96)00184-4 0375-9474/98/$19.00 (~ 1998 Elsevier Science B.V. All rights reserved. PII
Erratum~Nuclear Physics A 633 (1998) 695-697
696
Re EO+ 1.5 - - ' " 1
1.0
Re
. . . . I . . . . I . . . . I . . . . I '''L
2 /!f
-
LO*
'"1 .... I .... I .... I .... I'"
-1,2
-1,3
/;--
/'1
-1.4
/
0.5 - / " / /
-1,5
/
--
0.0 -,,I .... I .... I .... I,,
0.0
2.5
5.0
7.5
,,I . . . . I . . . . I . . . . I . . . . I . . . . -I"'~.0'~ 2.5 5.0 7.5 10,0 12,5 15.0
,I,,,
10.0 12.5 15.0
AW [ M e V ]
AW [ N e V ]
Fig. 5. Predictions for real part of the S - w a v e multipoles as a function of AW. The solid, dashed-dotted and dashed lines refer to k 2 = - 0 . 0 6 , - 0 . 0 5 and - 0 . 0 4 GeV 2, in order.
[/ub/sr]
dCrT/df~
0"4-''''1
....
0.3
I ....
doL/df~
I
'-
0.020
'"1
0.015 --
..... ~
[/Jb/sr]
........
I"-
%
"\
0.2
•\
-
0.010
'%
0.1-
0.005
0.00,,,,
I,, 50 8
,
~ I00
150
0.000
....
I .... I .... I,, 50 100 150
0
[deqrees]
O [degrees]
dOTL/d~ [/Jb/sr]
dO'TT/d~
[/Jb/sr]
0.00
0.00
•
-0.02
--
., ~ - 0 . 0 2 --
-
"\ '~
"0"050
/
• \
-0.04 -
I00
[degrees]
_
"\
/
/
/
/
'\ /
-O.OO
/
, I'i';';;, i / 50 8
\
,.,3 -0.04
-0.03
_
/' I, 1 150
-0.08
I .... I ...... 50 i00 150 8 [degrees]
Fig. 7. Predictions for the differential cross sections for k 2 = - 0 . 0 6 GeV 2, • = 0.58 and AW = 2 and 8 MeV as indicated by the solid and dashed lines, respectively.
Erratum~Nuclear Physics A 633 (1998) 695-697
. . . .
I
. . . .
I
. . . .
I
. . . .
I
. . . .
I''
e=
0.8
(,._ o9
697
T ~
0.4
-
."0.79 ..."/0.67 ..~: 0.58_
...O
:::z ."
o ~3
%.%;o
0.025
0.050
/,
o.oz5
o.loo
o.12;
-1< 2 [ G e V 2] Fig. 8. S-wave cross section. The solid line refers to • = 0.67 with the lower and upper dot-dashed lines showing the contribution from IEo+l 2 and eL ILo+I 2, respectively. Also shown are the results for • = 0.58 and • = 0.79 by the dotted lines. The data are from [ 1 ] (open squares) and [2] (cross).
Nuclear Physics A 633 (1998) 695-697
Erratum
Erratum to "Threshold neutral pion electroproduction in heavy baryon chiral perturbation theory" [Nucl. Phys. A607 (1996) 379-401] * V. Bernard a, N. Kaiser u, Ulf-G. M e i g n e r c a Laboratoire de Physique Thdorique, Institut de Physique, 3-5 rue de l'Universitd, F-67084 Strasbourg Cedex, France and Centre de Recherches Nucldaires, Physique Thiorique, BP 28, F-67037 Strasbourg Cedex 2, France b Technische Universitiit Miinchen, Physik Department T39, James-Franck-Strafle, D-85747 Garching, Germany c FZ J~ilich, 1KP (Theorie), D-52425 Ju'lich, Germany
Some typographical errors and incorrect figures appeared in the paper. The correct form of b v in Eq. (45) reads 5 _ 3.13 GeV_3. bye- (4,rrF~r)3 In the calculations, the correct form was used. Furthermore, in the production of Figs. 5,7 and 8, some incorrect files were read. The corrected figures are shown below. The Swave cross section ao is monotonically increasing with increasing [kl2, different from the relativistic calculation. None of the conclusions given in the paper change or need modification. We are grateful to Michael Distler for some independent checks.
* PII of original article: S0375-9474(96)00184-4 0375-9474/98/$19.00 (~ 1998 Elsevier Science B.V. All rights reserved. PII
Erratum~Nuclear Physics A 633 (1998) 695-697
696
Re EO+ 1.5 - - ' " 1
1.0
Re
. . . . I . . . . I . . . . I . . . . I '''L
2 /!f
-
LO*
'"1 .... I .... I .... I .... I'"
-1,2
-1,3
/;--
/'1
-1.4
/
0.5 - / " / /
-1,5
/
--
0.0 -,,I .... I .... I .... I,,
0.0
2.5
5.0
7.5
,,I . . . . I . . . . I . . . . I . . . . I . . . . -I"'~.0'~ 2.5 5.0 7.5 10,0 12,5 15.0
,I,,,
10.0 12.5 15.0
AW [ M e V ]
AW [ N e V ]
Fig. 5. Predictions for real part of the S - w a v e multipoles as a function of AW. The solid, dashed-dotted and dashed lines refer to k 2 = - 0 . 0 6 , - 0 . 0 5 and - 0 . 0 4 GeV 2, in order.
[/ub/sr]
dCrT/df~
0"4-''''1
....
0.3
I ....
doL/df~
I
'-
0.020
'"1
0.015 --
..... ~
[/Jb/sr]
........
I"-
%
"\
0.2
•\
-
0.010
'%
0.1-
0.005
0.00,,,,
I,, 50 8
,
~ I00
150
0.000
....
I .... I .... I,, 50 100 150
0
[deqrees]
O [degrees]
dOTL/d~ [/Jb/sr]
dO'TT/d~
[/Jb/sr]
0.00
0.00
•
-0.02
--
., ~ - 0 . 0 2 --
-
"\ '~
"0"050
/
• \
-0.04 -
I00
[degrees]
_
"\
/
/
/
/
'\ /
-O.OO
/
, I'i';';;, i / 50 8
\
,.,3 -0.04
-0.03
_
/' I, 1 150
-0.08
I .... I ...... 50 i00 150 8 [degrees]
Fig. 7. Predictions for the differential cross sections for k 2 = - 0 . 0 6 GeV 2, • = 0.58 and AW = 2 and 8 MeV as indicated by the solid and dashed lines, respectively.
Erratum~Nuclear Physics A 633 (1998) 695-697
. . . .
I
. . . .
I
. . . .
I
. . . .
I
. . . .
I''
e=
0.8
(,._ o9
697
T ~
0.4
-
."0.79 ..."/0.67 ..~: 0.58_
...O
:::z ."
o ~3
%.%;o
0.025
0.050
/,
o.oz5
o.loo
o.12;
-1< 2 [ G e V 2] Fig. 8. S-wave cross section. The solid line refers to • = 0.67 with the lower and upper dot-dashed lines showing the contribution from IEo+l 2 and eL ILo+I 2, respectively. Also shown are the results for • = 0.58 and • = 0.79 by the dotted lines. The data are from [ 1 ] (open squares) and [2] (cross).