Universal separable structure of the optical potential - INSPIRE

DataBETA

Universal separable structure of the optical potential

May 21, 2024

8 pages

Published in:

Phys.Rev.C 109 (2024) 6, 064609

Published: Jun 10, 2024

e-Print:

2405.13301 [nucl-th]

DOI:

10.1103/PhysRevC.109.064609 (publication)

View in:

ADS Abstract Service

reference search0 citations

Citations per year

0 Citations

Abstract: (APS)

Based on a momentum-space in-medium folding model, we disclose the universal separability of the optical potential, revealing its radial and nonlocality features at beam energies in the range 40–400 MeV and target mass numbers in the range

40 \leq A \leq 208

. From this microscopic study we find that the nonlocality form factor is inherently complex and of hydrogenic nature, affecting both central and spin-orbit components of the potential. A striking outcome from this study is the consistent appearance of a nodal point in the imaginary radial form factor, notably suppressing surface absorption peaks, in evident contrast with Woods-Saxon's assumption of an absorptive peak at the nuclear surface. Our analysis reveals that the complex radial form factor can effectively be represented as convolutions of uniform spherical distribution with a Gaussian form factor and a Yukawa term. These robust microscopically driven findings offer new ways for investigating nuclear reactions beyond the restricting Woods-Saxon and Perey-Buck assumptions.

Note:

8 pages, 9 figures, published in PRC. Minor corrections made to the text

References(33)

Figures(9)

[1]

Optical potentials for the rare-isotope beam era

C. Hebborn
(
- Michigan State U., East Lansing (main) and
- LLNL, Livermore
)
,
F.M. Nunes
(
- Michigan State U., East Lansing (main) and
- Michigan State U., NSCL
)
,
G. Potel
(
- LLNL, Livermore
)
,
W.H. Dickhoff
(
- Washington U., St. Louis
)
,
J.W. Holt
(
- Texas A-M
)

et al.

- J.Phys.G 50 (2023) 6, 060501
•
e-Print:
- 2210.07293
•
DOI:
- 10.1088/1361-6471/acc348

[2]

Diffuse Surface Optical Model for Nucleon-Nuclei Scattering

Roger D. Woods
(
- UCLA
)
,
David S. Saxon
(
- UCLA
)

- Phys.Rev. 95 (1954) 577-578
•
DOI:
- 10.1103/PhysRev.95.577

[3]

A non-local potential model for the scattering of neutrons by nuclei

F. Ferey

- Nucl.Phys. 32 (1962) 353-380
•
DOI:
- 10.1016/0029-5582(62)90345-0

[4]

Local and global nucleon optical models from 1 keV to 200 MeV

A.J. Koning
(
- NRG, Petten
)
,
J.P. Delaroche
(
- CEA DAM
)

- Nucl.Phys.A 713 (2003) 231-310
•
DOI:
- 10.1016/S0375-9474(02)01321-0

[5]

Bound single-particle states and scattering of nucleons on spherical nuclei with a global optical model

B. Morillon
(
- CEA DAM
)
,
P. Romain
(
- CEA DAM
)

- Phys.Rev.C 76 (2007) 044601
•
DOI:
- 10.1103/PhysRevC.76.044601

[6]

Systematic nonlocal optical model potential for nucleons

- Int.J.Mod.Phys.E 24 (2015) 01, 1550006
•
DOI:
- 10.1142/S0218301315500068

[7]

Elastic proton scattering of medium mass nuclei from coupled-cluster theory

G. Hagen
(
- Oak Ridge and
- Tennessee U.
)
,
N. Michel
(
- Tennessee U.
)

- Phys.Rev.C 86 (2012) 021602
•
e-Print:
- 1206.2336
•
DOI:
- 10.1103/PhysRevC.86.021602

[8]

Optical potential from first principles

- Phys.Rev.C 95 (2017) 2, 024315
•
e-Print:
- 1611.04554
•
DOI:
- 10.1103/PhysRevC.95.024315

[9]

Ab Initio Optical Potentials and Nucleon Scattering on Medium Mass Nuclei

- Phys.Rev.Lett. 123 (2019) 9, 092501
•
e-Print:
- 1903.04581
•
DOI:
- 10.1103/PhysRevLett.123.092501

[10]

Coupled-cluster computations of optical potential for medium-mass nuclei

J. Rotureau

- Front.in Phys. 8 (2020) 285
•
e-Print:
- 2007.11913
•
DOI:
- 10.3389/fphy.2020.00285

[11]

In-medium full-folding optical model for nucleon-nucleus elastic scattering

H.F. Arellano
(
- Unlisted and
- Georgia U.
)
,
F.A. Brieva
(
- Unlisted and
- Georgia U.
)
,
W.G. Love
(
- Unlisted and
- Georgia U.
)

- Phys.Rev.C 52 (1995) 301-315
•
DOI:
- 10.1103/PhysRevC.52.301

[12]

Vol. 25 of advances in nuclear physics (, New York, )

K. Amos
,
P.J. Dortmans
,
H.V. von Geramb
,
S. Karataglidis
,
J. Raynal

[13]

On the separability of microscopic optical model potentials and emerging bell-shape Perey–Buck nonlocality

H.F. Arellano
(
- Chile U., Santiago
)
,
G. Blanchon
(
- CEA DAM
)

- Eur.Phys.J.A 58 (2022) 7, 119
•
e-Print:
- 2206.09461
•
DOI:
- 10.1140/epja/s10050-022-00777-9

[14]

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

[15]

Extension of the full-folding optical model for nucleon nucleus scattering with applications up to 1.5-GeV

H.F. Arellano
(
- Chile U., Beauchef
)
,
H.V. von Geramb
(
- Hamburg U.
)

- Phys.Rev.C 66 (2002) 024602
•
e-Print:
- nucl-th/0204043
•
DOI:
- 10.1103/PhysRevC.66.024602

[16]

Nonrelativistic and relativistic descriptions of proton nucleus scattering

- Phys.Rept. 212 (1992) 223-328
•
DOI:
- 10.1016/0370-1573(92)90156-T

[17]

Surface-peaked medium effects in the interaction of nucleons with finite nuclei

F.J. Aguayo
(
- Chile U., Santiago
)
,
H.F. Arellano
(
- Chile U., Santiago
)

- Phys.Rev.C 78 (2008) 014608
•
e-Print:
- 0806.2494
•
DOI:
- 10.1103/PhysRevC.78.014608

[18]

Low-density homogeneous symmetric nuclear matter: disclosing dinucleons in coexisting phases

- Eur.Phys.J.A 51 (2015) 1, 7
•
e-Print:
- 1410.7919
•
DOI:
- 10.1140/epja/i2015-15007-2

[19]

Role of nuclear densities in nucleon elastic scattering

H.F. Arellano
(
- Georgia U.
)
,
F.A. Brieva
(
- Unlisted and
- Georgia U.
)
,
W.G. Love
(
- Georgia U.
)

- Phys.Rev.C 42 (1990) 652-658
•
DOI:
- 10.1103/PhysRevC.42.652

[20]

Structure of Finite Nuclei in the Local-Density Approximation

John W. Negele
(
- Cornell U., LNS
)

- Phys.Rev.C 1 (1970) 1260-1321
•
DOI:
- 10.1103/PhysRevC.1.1260

[21]

SWANLOP : Scattering waves off nonlocal optical potentials in the presence of Coulomb interactions

H.F. Arellano
(
- U. Chile, Santiago and
- CEA DAM
)
,
G. Blanchon
(
- CEA DAM
)

- Comput.Phys.Commun. 259 (2021) 107543
•
e-Print:
- 2009.12235
•
DOI:
- 10.1016/j.cpc.2020.107543

[22]

Exact scattering waves off nonlocal potentials under Coulomb interaction within Schrödinger's integro-differential equation

H.F. Arellano
(
- U. Chile, Santiago and
- CEA DAM
)
,
G. Blanchon
(
- CEA DAM
)

- Phys.Lett.B 789 (2019) 256-261
•
e-Print:
- 1806.05006
•
DOI:
- 10.1016/j.physletb.2018.12.004

[23]

Polarizations and Differential Cross Sections for the Elastic Scattering of 40-MeV Protons from C-12, Ca-40, Ni-58, Zr-90, and Pb-208

- Phys.Rev. 147 (1966) 812-825
•
DOI:
- 10.1103/PhysRev.147.812

[24]

Elastic Scattering of 80-{MeV} - 180-{MeV} Protons and the Proton Nucleus Optical Potential

et al.

- Phys.Rev.C 23 (1981) 1023-1043,
- Phys. Rev. C23 ( 1981) 1023-1043
•
DOI:
- 10.1103/PhysRevC.23.1023

[25]

Effective interaction for O-16 (p, p') and Ca-40 (p, p') at Ep=200 MeV

et al.

- Phys.Rev.C 47 (1993) 1615-1635
•
DOI:
- 10.1103/PhysRevC.47.1615

1-25 of 33
1
2
25 / page