Neutron-proton scattering and singular potentials

Elbistan, Mahmut; Zhang, Pengming; Balog, Janos

doi:10.1088/1361-6471/aadc77

Neutron-proton scattering and singular potentials

Mar 8, 2018

23 pages

Published in:

J.Phys.G 45 (2018) 105103,
J.Phys.G 45 (2018) 10, 105103

Published: Sep 10, 2018

e-Print:

1803.03047 [nucl-th]

DOI:

10.1088/1361-6471/aadc77 (publication)

View in:

pdf

reference search1 citation

Citations per year

Abstract: (IOP)

We consider a Bargmann-type rational parametrization of the nucleon scattering phase shifts. Applying Marchenko’s method of quantum inverse scattering we show that the scattering data suggest a singular repulsive core of the potential of the form 2/r 2 and 6/r 2 in natural units, for the and channels, respectively. The simplest solution in the channel contains three parameters only but reproduces all features of the potential and bound state wave function within one percent error. We also consider the – coupled channel problem with the coupled channel Marchenko inversion method.

Note:

39 pages. Extended version. Title changed, presentation improved and a new appendix on the coupled channel problem added

References(32)

Figures(20)

[1]

Construction of high quality N N potential models

V.G.J. Stoks
(
- Flinders U. and
- Nijmegen U.
)
,
R.A.M. Klomp
(
- Nijmegen U.
)
,
C.P.F. Terheggen
(
- Nijmegen U.
)
,
J.J. de Swart
(
- Nijmegen U.
)

- Phys.Rev.C 49 (1994) 2950-2962
•
e-Print:
- nucl-th/9406039
•
DOI:
- 10.1103/PhysRevC.49.2950

[2]

An Accurate nucleon-nucleon potential with charge independence breaking

Robert B. Wiringa
(
- Argonne, PHY
)
,
V.G.J. Stoks
(
- Flinders U.
)
,
R. Schiavilla
(
- Jefferson Lab and
- Old Dominion U.
)

- Phys.Rev.C 51 (1995) 38-51
•
e-Print:
- nucl-th/9408016
•
DOI:
- 10.1103/PhysRevC.51.38

[3]

The High precision, charge dependent Bonn nucleon-nucleon potential (CD-Bonn)

R. Machleidt
(
- Idaho U.
)

- Phys.Rev.C 63 (2001) 024001
•
e-Print:
- nucl-th/0006014
•
DOI:
- 10.1103/PhysRevC.63.024001

[4]

Chiral effective field theory and nuclear forces

R. Machleidt
(
- Idaho U.
)
,
D.R. Entem
(
- Salamanca U., IUFFyM and
- Salamanca U.
)

- Phys.Rept. 503 (2011) 1-75
•
e-Print:
- 1105.2919
•
DOI:
- 10.1016/j.physrep.2011.02.001

[5]

The Nuclear Force from Lattice QCD

N. Ishii
(
- Tsukuba U., RCCP and
- Tokyo U.
)
,
S. Aoki
(
- Tsukuba U., GSPAS
)
,
T. Hatsuda
(
- Tokyo U.
)

- Phys.Rev.Lett. 99 (2007) 022001
•
e-Print:
- nucl-th/0611096
•
DOI:
- 10.1103/PhysRevLett.99.022001

[6]

Hadron Interactions from lattice QCD

Sinya Aoki
(
)

- EPJ Web Conf. 113 (2016) 01009
•
e-Print:
- 1603.00989
•
DOI:
- 10.1051/epjconf/201611301009

[7]

The repulsive core of the NN potential and the operator product expansion PoS LATp 132, Crossref: DOI: 10.22323/1.091.0132

Aoki S
,
Balog J
,
Weisz P

[8]

Application of the operator product expansion to the short distance behavior of nuclear potentials

Sinya Aoki
(
- Tsukuba U., GSPAS
)
,
Janos Balog
(
- Budapest, RMKI
)
,
Peter Weisz
(
- Munich, Max Planck Inst.
)

- JHEP 05 (2010) 008
•
e-Print:
- 1002.0977
•
DOI:
- 10.1007/JHEP05(2010)008

[9]

Holographic Deuteron and Nucleon-Nucleon Potential

Youngman Kim
(
- Korea Inst. Advanced Study, Seoul and
- APCTP, Pohang
)
,
Sangmin Lee
(
- Seoul Natl. U.
)
,
Piljin Yi
(
- Korea Inst. Advanced Study, Seoul
)

- JHEP 04 (2009) 086
•
e-Print:
- 0902.4048
•
DOI:
- 10.1088/1126-6708/2009/04/086

[10]

Sturm-Liouville Operators and Applications (Basel: Birkhäuser), Crossref:

Marchenko V. A

•
DOI:
- 10.1007/978-3-0348-5485-6

[11]

For a review seeRamm A GOne-dimensional inverse scattering and spectral problems CUBO

Math. J.

[12]

On the connection between phase shifts and scattering potential

Bargmann V

- Rev.Mod.Phys. 21 (1949) 488
•
DOI:
- 10.1103/RevModPhys.21.488

[13]

Pade Phenomenology for $N N$ Scattering: $s$ Wave Singlet Phase Shifts

K. Hartt
(
- Los Alamos
)

- Phys.Rev.C 23 (1981) 2399-2404,
- Phys. Rev. C23 ( 1981) 2399-2404
•
DOI:
- 10.1103/PhysRevC.23.2399

[14]

Pade phenomenology for two-body bound states

K. Hartt
(
- Rhode Island U.
)

- Phys.Rev.C 26 (1982) 2616-2619
•
DOI:
- 10.1103/PhysRevC.26.2616

[15]

Description of the two-nucleon system on the basis of the Bargmann representation of the S matrix

V.A. Babenko
(
- BITP, Kiev
)
,
N.M. Petrov
(
- BITP, Kiev
)

- Phys.Atom.Nucl. 68 (2005) 219
•
e-Print:
- nucl-th/0502041
•
DOI:
- 10.1134/1.1866377

[16]

Supersymmetric transformations in coupled channel systems

- Phys.Rev.C 62 (2000) 064003
•
e-Print:
- nucl-th/0008054
•
DOI:
- 10.1103/PhysRevC.62.064003

[17]

The Phase shift effective range expansion from supersymmetric quantum mechanics

Boris F. Samsonov
(
- Valladolid U.
)
,
F. Stancu
(
- Liege U.
)

- Phys.Rev.C 67 (2003) 054005
•
e-Print:
- nucl-th/0304010
•
DOI:
- 10.1103/PhysRevC.67.054005

[18]

Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method

Andrey Pupasov
(
- Tomsk State U.
)
,
Boris Samsonov
(
- Tomsk State U.
)
,
Jean-Marc Sparenberg
(
- Brussels U.
)
,
Daniel Baye
(
- Brussels U.
)

- Phys.Rev.Lett. 106 (2011) 152301
•
e-Print:
- 1101.3691
•
DOI:
- 10.1103/PhysRevLett.106.152301

[19]

Nucleon-nucleon potentials from phase shifts inversion

- Lect.Notes Phys. 427 (1994) 285-313
•
DOI:
- 10.1007/3-540-57576-6_18

[20]

Coupled channels Marchenko inversion for nucleon-nucleon potentials

H. Kohlhoff
(
- Hamburg U.
)
,
H.V. von Geramb
(
- Hamburg U.
)

- Lect.Notes Phys. 427 (1994) 314-341,
- In *Bad Honnef 1993, Proceedings, Quantum inversion theory and applications* 314-341
•
DOI:
- 10.1007/3-540-57576-6_19

[21]

Inverse scattering with singular potentials: A supersymmetric approach

J.-M. Sparenberg
(
- Brussels U., PNTPM
)
,
D. Baye
(
- Brussels U., PNTPM
)

- Phys.Rev.C 55 (1997) 2175-2184
•
DOI:
- 10.1103/PhysRevC.55.2175

[22]

Single- and coupled-channel radial inverse scattering with supersymmetric transformations J. Phys. A: Math. Theor. 47 243001

Baye D
,
Sparenberg J. M
,
Pupasov-Maksimov A. M
,
Samsonov B. F

•
DOI:
- 10.1088/1751-8121/47/24/243001

[23]

GWDAC

[24]

The Low-energy n p scattering parameters and the deuteron

e-Print:
- nucl-th/9509032

[25]

Determination of the root-mean-square radius of the deuteron from present-day experimental data on neutron-proton scattering

V.A. Babenko
(
- BITP, Kiev
)
,
N.M. Petrov
(
- BITP, Kiev
)

- Phys.Atom.Nucl. 71 (2008) 1730-1739,
- Yad.Fiz. 71 (2008) 1761-1771
•
DOI:
- 10.1134/S1063778808100086

1-25 of 32
1
2
25 / page