Dynamics of two-cluster systems in phase space - INSPIRE

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Dynamics of two-cluster systems in phase space

Mar 20, 2015

24 pages

Published in:

Nucl.Phys.A 941 (2015) 121-144

Published: Sep, 2015

e-Print:

1503.06005 [nucl-th]

DOI:

10.1016/j.nuclphysa.2015.06.006

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Abstract: (Elsevier)

We present a phase-space representation of quantum state vectors for two-cluster systems. Density distributions in the Fock–Bargmann space are constructed for bound and resonance states of 6,7 Li and 7,8 Be, provided that all these nuclei are treated within a microscopic two-cluster model. The density distribution in the phase space is compared with those in the coordinate and momentum representations. Bound states realize themselves in a compact area of the phase space, as also do narrow resonance states. We establish the quantitative boundaries of this region in the phase space for the nuclei under consideration. Quantum trajectories are demonstrated to approach their classical limit with increasing energy.

Note:

35 pages, 15 figures, submitted to Nucl. Phys. A

21.60.Gx
21.60.-n
Phase portrait
Fock–Bargmann space
Coherent state
Resonating group method

References(31)

Figures(15)

[1]

Wigner and Husimi functions in quantum mechanics

K. Takahashi

- J.Phys.Soc.Jap. 55 (1986) 762
•
DOI:
- 10.1143/JPSJ.55.762

[2]

Quantum Mechanics in Phase Space

C.K. Zachos
,
D.B. Fairlie
,
T.L. Curtright

[3]

Comment on phase-space representation of quantum state vectors

K.B. Møller

- J.Math.Phys. 40 (1999) 2531
•
DOI:
- 10.1063/1.532881

[4]

A quantum mechanical representation in phase space

G. Torres-Vega
,
J.H. Frederick

- J.Chem.Phys. 98 (1993) 3103
•
DOI:
- 10.1063/1.464085

[5]

On coherent-state representations of quantum mechanics: wave mechanics in phase space

K.B. Møller
,
T.G. Jørgensen
,
G. Torres-Vega

- J.Chem.Phys. 106 (1997) 7228
•
DOI:
- 10.1063/1.473684

[6]

Quantum mechanics in phase space: new approaches to the correspondence principle

G. Torres-Vega
,
J.H. Frederick

- J.Chem.Phys. 93 (1990) 8862
•
DOI:
- 10.1063/1.459225

[7]

Verallgemeinerung und Lösung der Diracschen statistischen Gleichung

V. Fock

- Z.Phys. 49 (1928) 339
•
DOI:
- 10.1007/BF01337923

[8]

Irreducible unitary representations of the Lorentz group

V. Bargmann
(
- Princeton, Inst. Advanced Study
)

- Annals Math. 48 (1947) 568-640
•
DOI:
- 10.2307/1969129

[9]

Generalized Coherent States and Their Applications

A. Perelomov

[10]

Antisymmetrized molecular dynamics: a new insight into the structure of nuclei

Y. Kanada-En'yo
,
M. Kimura
,
H. Horiuchi

- Comptes Rendus Physique 4 (2003) 497
•
DOI:
- 10.1016/S1631-0705(03)00062-8

[11]

Antisymmetrized molecular dynamics and its applications to cluster phenomena

- PTEP 2012 (2012) 01A202
•
e-Print:
- 1202.1864
•
DOI:
- 10.1093/ptep/pts001

[12]

Molecular dynamics for fermions

Hans Feldmeier
(
- Darmstadt, GSI
)
,
Jurgen Schnack
(
- Osnabruck U.
)

- Rev.Mod.Phys. 72 (2000) 655-688
•
e-Print:
- cond-mat/0001207
•
DOI:
- 10.1103/RevModPhys.72.655

[13]

Cluster structures within fermionic molecular dynamics

T. Neff
(
- Darmstadt, GSI
)
,
H. Feldmeier
(
- Darmstadt, GSI
)

- Nucl.Phys.A 738 (2004) 357-361
•
e-Print:
- nucl-th/0312130
•
DOI:
- 10.1016/j.nuclphysa.2004.04.061

[14]

Molecular Viewpoints in Nuclear Structure

John Archibald Wheeler
(
- North Carolina U.
)

- Phys.Rev. 52 (1937) 1083-1106
•
DOI:
- 10.1103/PhysRev.52.1083

[15]

Structure of light neutron-rich nuclei and nuclear reactions involving these nuclei

G. Filippov
,
Y. Lashko

- Phys.Part.Nucl. 36 (2005) 714

[16]

Phase Portraits of Quantum Systems

- Few Body Syst. 55 (2014) 8-10, 817-820
•
DOI:
- 10.1007/s00601-013-0760-8

[17]

A Unified Theory of the Nucleus

K. Wildermuth
,
Y. Tang

[18]

Resonating-group method for nuclear many-body problems

- Phys.Rept. 47 (1978) 167-223
•
DOI:
- 10.1016/0370-1573(78)90175-8

[19]

The structure of the resonating group equation

- Nucl.Phys.A 377 (1982) 84-104
•
DOI:
- 10.1016/0375-9474(82)90322-0

[20]

Use of an oscillator basis for solving continuum problems

G.F. Filippov
,
I.P. Okhrimenko

- Sov.J.Nucl.Phys. 32 (1981) 480

[21]

On Taking Account of Correct Asymptotics in Expansions in Terms of Oscillator Basis

G.F. Filippov
(
- BITP, Kiev
)

- Sov.J.Nucl.Phys. 33 (1981) 488,
- Yad.Fiz. 33 (1981) 928-931

[22]

Solution of problems in the microscopic theory of the nucleus using the technique of generalized coherent states

G.F. Filippov
,
V.S. Vasilevsky
,
L.L. Chopovsky

- Sov.J.Part.Nucl. 16 (1985) 153

[23]

Knockout Reactions from p-Shell Nuclei: Tests of Ab Initio Structure Models

G.F. Grinyer
(
- Michigan State U., NSCL
)
,
D. Bazin
(
- Michigan State U., NSCL
)
,
A. Gade
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
J.A. Tostevin
(
- Surrey U.
)
,
P. Adrich
(
- Michigan State U., NSCL
)

et al.

- Phys.Rev.Lett. 106 (2011) 162502
•
DOI:
- 10.1103/PhysRevLett.106.162502

[24]

Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions

et al.

- Phys.Rev.Lett. 109 (2012) 052501
•
e-Print:
- 1112.0287
•
DOI:
- 10.1103/PhysRevLett.109.052501

[25]

Unified description of $^6$ Li structure and deuterium- $^4$ He dynamics with chiral two- and three-nucleon forces

- Phys.Rev.Lett. 114 (2015) 21, 212502
•
e-Print:
- 1412.4101
•
DOI:
- 10.1103/PhysRevLett.114.212502

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