Marchenko method with incomplete data and singular nucleon scattering - INSPIRE

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Marchenko method with incomplete data and singular nucleon scattering

May 2, 2018

20 pages

Published in:

PTEP 2019 (2019) 5, 053D01

Published: May 1, 2019

e-Print:

1805.00690 [nucl-th]

DOI:

10.1093/ptep/ptz034 (publication)

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Abstract: (Oxford University Press)

We apply the Marchenko method of quantum inverse scattering to study nucleon scattering problems. Assuming a |

\beta/r^2

|-type repulsive core and comparing our results to the Reid93 phenomenological potential we estimate the constant |

\beta

|⁠, determining the singularity strength, in various spin/isospin channels. Instead of using Bargmann-type S-matrices, which allow only integer singularity strength, here we consider an analytical approach based on the incomplete data method, which is suitable for fractional singularity strengths as well.

Note:

20 pages, 8 figures, published version

A64 Other topics in quantum mechanics

References(40)

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

[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

[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

[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]

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

[4]

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

[5]

Hadron Interactions from lattice QCD

Sinya Aoki
(
)

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

[5]

Hadron Interactions from lattice QCD

Sinya Aoki
(
)

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

[6]

The Repulsive core of the NN potential and the operator product expansion

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

- PoS LAT2009 (2009) 132
•
e-Print:
- 0910.4255
•
DOI:
- 10.22323/1.091.0132

[7]

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

[7]

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

[8]

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

[8]

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

[9]

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

[9]

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

[10]

Effective potential for relativistic scattering

- PTEP 2017 (2017) 2, 023B01
•
e-Print:
- 1611.07923
•
DOI:
- 10.1093/ptep/ptw192

[10]

Effective potential for relativistic scattering

- PTEP 2017 (2017) 2, 023B01
•
e-Print:
- 1611.07923
•
DOI:
- 10.1093/ptep/ptw192

[11]

Neutron-proton scattering and singular potentials

- J.Phys.G 45 (2018) 105103,
- J.Phys.G 45 (2018) 10, 105103
•
e-Print:
- 1803.03047
•
DOI:
- 10.1088/1361-6471/aadc77

[11]

Neutron-proton scattering and singular potentials

- J.Phys.G 45 (2018) 105103,
- J.Phys.G 45 (2018) 10, 105103
•
e-Print:
- 1803.03047
•
DOI:
- 10.1088/1361-6471/aadc77

[12]

(in Russian)

Gel'fand I. M.
,
B.M. Levitan

- Izv.Akad.Nauk SSR (Ser.Mat.) 15 (1951) 309

[13]

Inverse Sturm-Liouville problems (VNU Press, Utrecht,)

Levitan B.

[14]

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

Marchenko V. A.

[15]

Selg M.

e-Print:
- 1501.04195

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