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The Three body continuum Coulomb problem and the 3 alpha structure of C-12

D.V. Fedorov
(
- ECT, Trento
)
,
A.S. Jensen
(
- Aarhus U.
)

Aug, 1996

7 pages

Published in:

Phys.Lett.B 389 (1996) 631-636

e-Print:

nucl-th/9608028 [nucl-th]

DOI:

Report number:

IFA-96-35

View in:

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Abstract:

We introduce an approach, based on the coordinate space Faddeev equations, to solve the quantum mechanical three-body Coulomb problem in the continuum. We apply the approach to compute measured properties of the first two

0~+

levels in

~{12}

C, including the width of the excited level, in a three

\alpha

-particle model. We use the two-body interaction which reproduces the low energy

\alpha

-

\alpha

scattering data and add a three-body force to account for the compound state admixture.

Note:

7 pages, LaTeX, 3 postscript figures Report-no: IFA-96/35

03.65.-w
21.45.+v
97.10.Cv
21.60.Gx
Three-body problem
Faddeev equations
Coulomb interaction
Alpha-particle model

References(18)

Figures(0)

[1]

Few‐body physics—then and now

James Lewis Friar
(
- Los Alamos
)

- In *Williamsburg 1994, Proceedings, Few-body problems in physics* 323-338, and Preprint - Friar, J.L. (rec.Oct.94) 18 p,
- AIP Conf.Proc. 334 (1995) 323-338
•
e-Print:
- nucl-th/9410002
•
DOI:
- 10.1063/1.48195

[2]

Study of bound and scattering states of three nucleon systems

A. Kievsky
(
- INFN, Pisa
)
,
M. Viviani
(
- INFN, Pisa
)
,
S. Rosati
(
- Pisa U. and
- INFN, Pisa
)

- Nucl.Phys.A 577 (1994) 511-527
•
e-Print:
- nucl-th/9706067
•
DOI:
- 10.1016/0375-9474(94)90931-8

[3]

Benchmark solutions for n-d breakup amplitudes

- Phys.Rev.C 51 (1995) 2356-2359
•
DOI:
- 10.1103/PhysRevC.51.2356

[4]

6

C.D. Lin

- Phys.Rept. 257 (1995) 1

[5]

Study of dense helium plasma in the optimal hypernetted chain approximation

- Phys.Rev.C 49 (1994) 524-532
•
DOI:
- 10.1103/PhysRevC.49.524

[6]

Alpha clustering and the stellar nucleosynthesis of carbon

et al.

- Z.Phys.A 349 (1994) 241
•
e-Print:
- astro-ph/9310026
•
DOI:
- 10.1007/BF01288967

[7]

D.V. Fedorov
,
A.S. Jensen

- Phys.Rev.Lett. 71 (1993) 4103

[8]

Efimov states in halo nuclei

- Phys.Rev.Lett. 73 (1994) 2817-2820
•
e-Print:
- nucl-th/9409018
•
DOI:
- 10.1103/PhysRevLett.73.2817

[9]

B.L. Christensen-Dalsgaard

- Phys.Rev.A 29 (1984) 470

[10]

Low-lying levels of 12 C and the three-alpha particle model

- Phys.Lett.B 34 (1971) 455-457
•
DOI:
- 10.1016/0370-2693(71)90652-6

[11]

Hyperspherical method applied to the 3α model of 12 C

- Nucl.Phys.A 271 (1976) 95-108
•
DOI:
- 10.1016/0375-9474(76)90270-0

[12]

The hyperspherical harmonics method applied to 12 C

S. Marsh

- Nucl.Phys.A 389 (1982) 45-55
•
DOI:
- 10.1016/0375-9474(82)90289-5

[13]

Do three α-particles make a 12 C?

J.V. Noble

- Phys.Lett.B 31 (1970) 253-255
•
DOI:
- 10.1016/0370-2693(70)90162-0

[14]

Three-body halos. 2. From two- to three-body asymptotics

- Phys.Rev.C 50 (1994) 2372-2383
•
e-Print:
- nucl-th/9409019
•
DOI:
- 10.1103/PhysRevC.50.2372

[15]

to be published

D.V. Fedorov

[16]

Quantum Mechanics, ( Press, 1965), chapter XVII, paragraph 132

L.D. Landau
,
E.M. Lifshitz

[17]

Phenomenological α-α potentials

S. Ali
,
A.R. Bodmer

- Nucl.Phys. 80 99-112,
- Nucl.Phys. 80 (1966) 1, 99-112
•
DOI:
- 10.1016/0029-5582(66)90829-7

[18]

Properties of ^ 8 be and ^ 12 c deduced from the folding-potential model

et al.

- Z.Phys.A 349 (1994) 339
•
e-Print:
- astro-ph/9310027
•
DOI:
- 10.1007/BF01288987