$\omega N$ scattering length from $\omega$ photoproduction on the proton near the threshold

Photoproduction of the ω meson on the proton has been experimentally studied near the threshold. The total cross sections are determined at incident energies ranging from 1.09 to 1.15 GeV. The 1/2 and 3/2 spin-averaged scattering length aωp and effective range rωp between the ω meson and proton are estimated from the shape of the total cross section as a function of the incident photon energy: aωp=(−0.97−0.16stat−0.00syst+0.16stat+0.03syst)+i(0.07−0.14stat−0.09syst+0.15stat+0.17syst) fm and rωp=(+2.78−0.54stat−0.12syst+0.67stat+0.11syst)+i(−0.01−0.50stat−0.00syst+0.46stat+0.06syst) fm, resulting in a repulsive force. The real and imaginary parts for aωp and rωp are determined separately for the first time. A small P-wave contribution does not affect the obtained values.

Note:

6 pages, 4 figures

Hadronic Physics and QCD
photon: energy
total cross section: calculated
scattering length
Omega-: photoproduction
effective range
differential cross section: calculated
final-state interaction
effective field theory
Omega-: interaction

References(36)

Figures(4)

[1]

The Meson theory of nuclear forces and nuclear structure

R. Machleidt
(
- UCLA
)

- Adv.Nucl.Phys. 19 (1989) 189-376

[2]

Relativistic equation of state of nuclear matter for supernova and neutron star

H. Shen
(
- Osaka U., Res. Ctr. Nucl. Phys. and
- Nankai U.
)
,
H. Toki
(
- Osaka U., Res. Ctr. Nucl. Phys. and
- Wako, RIKEN
)
,
K. Oyamatsu
(
- Wako, RIKEN and
- Nagoya U.
)
,
K. Sumiyoshi
(
- Wako, RIKEN
)

- Nucl.Phys.A 637 (1998) 435-450
•
e-Print:
- nucl-th/9805035
•
DOI:
- 10.1016/S0375-9474(98)00236-X

[3]

GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.Lett. 119 (2017) 16, 161101
•
e-Print:
- 1710.05832
•
DOI:
- 10.1103/PhysRevLett.119.161101

[4]

Photoproduction of the ω meson on the proton near threshold

I.I. Strakovsky
(
- George Washington U.
)
,
S. Prakhov
(
- Mainz U., Inst. Kernphys. and
- UCLA and
- George Washington U.
)
,
Ya. I. Azimov
(
- St. Petersburg, INP
)
,
P. Aguar-Bartolomé
(
- Mainz U., Inst. Kernphys.
)
,
J.R.M. Annand
(
- Glasgow U.
)

et al.

- Phys.Rev.C 91 (2015) 4, 045207
•
e-Print:
- 1407.3465
•
DOI:
- 10.1103/PhysRevC.91.045207

[5]

Nuclear bound states of omega mesons

- Nucl.Phys.A 650 (1999) 299-312
•
e-Print:
- hep-ph/9810312
•
DOI:
- 10.1016/S0375-9474(99)00114-1

[6]

QCD sum rules for rho, omega, phi meson - nucleon scattering lengths and the mass shifts in nuclear medium

Yuji Koike
(
- Niigata U.
)
,
A. Hayashigaki
(
- Niigata U.
)

- Prog.Theor.Phys. 98 (1997) 631-652
•
e-Print:
- nucl-th/9609001
•
DOI:
- 10.1143/PTP.98.631

[7]

Scattering of vector mesons off nucleons

M.F.M. Lutz
(
- Darmstadt, GSI and
- Darmstadt, Tech. Hochsch.
)
,
G. Wolf
(
- Budapest, RMKI
)
,
B. Friman
(
- Darmstadt, GSI and
- Darmstadt, Tech. Hochsch.
)

- Nucl.Phys.A 706 (2002) 431-496,
- Nucl.Phys.A 765 (2006) 431-496 (erratum),
- Nucl.Phys.A 765 (2006) 495-495 (erratum)
•
e-Print:
- nucl-th/0112052
•
DOI:
- 10.1016/S0375-9474(02)00868-0

[7]

Scattering of vector mesons off nucleons

M.F.M. Lutz
(
- Darmstadt, GSI and
- Darmstadt, Tech. Hochsch.
)
,
G. Wolf
(
- Budapest, RMKI
)
,
B. Friman
(
- Darmstadt, GSI and
- Darmstadt, Tech. Hochsch.
)

- Nucl.Phys.A 706 (2002) 431-496,
- Nucl.Phys.A 765 (2006) 431-496 (erratum),
- Nucl.Phys.A 765 (2006) 495-495 (erratum)
•
e-Print:
- nucl-th/0112052
•
DOI:
- 10.1016/S0375-9474(02)00868-0