Ab Initio Many-Body Calculations Of n-3H, n-4He, p-3,4He, And n-10Be Scattering Page: 6 of 6
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4
-,
Lv12
9
6
3-30
-60
-90
04 8 12 0
Eki [MeV]4 8 12
Eki [MeV]U
t16
FIG. 5: (Color online.) Calculated n-a (left panel) and p-
a (right panel) phase shifts for the N3LO NN potential [9],
including the 4He g.s., 0+0, 0-0, 1-0, 1-1, 2-0, and 2-1
states, compared to an R-matrix analysis of data (+) [12].
cient magnitude and splitting with respect to the predic-
tions of the R-matrix analysis. The + channel is dom-
inated by the repulsion between nucleon and a particle
induced by the Pauli exclusion principle. Consequently,
the short-range details of the nuclear interaction play a
minor role on the 251/2 phase shifts, for which, as shown
in Fig. 3, we find very similar results using the V10,, po-
tential. On the other hand, the latter figure shows also
that the 2P1/2 and 2P3/2 phase shifts are sensitive to the
interaction model, and in particular to the strength of
the spin-orbit force. The present discrepancy with re-
spect to experiment is due to the omission of the three-
nucleon terms of the chiral interaction at order N3LO,
which would lead to an enhanced spin-orbit splitting.
To show the promise and flexibility of our approach, we
present in Tab. II and Fig. 6 results for a much heavier (A
11) system. The parity-inverted g.s. of "Be, one of the
best examples of disappearance of the N 8 magic num-
ber with increasing N/Z ratio, was so far left unexplained
by ab initio calculations [14]. The HO asymptotic behav-
ior of the "Be wave function in the standard NCSM does
ioge "1Be(1 ) "1Be(2-)
Nmax Eg.s. E Etu E Etu
NCSM [13, 14] 8/9 -57.06 -56.95 0.11 -54.26 2.80
NCSM [13, 14] , 6/7 -57.17 -57.51 -0.34 -54.39 2.78
NCSM/RGMa -57.59 -0.42 -57.85 -0.68
Expt. -64.98 -65.16 -0.18 -65.48 -0.50
present calculation
TABLE II: Calculated energies (in MeV) of the 10Be g.s. and
of the lowest negative- and positive-parity states in "Be, ob-
tained using the CD-Bonn NN potential [15] at hQ - 13 MeV.
The NCSM/RGM results were obtained using n+10Be config-
urations with Nmax = 6 g.s., 27, 21, and 17 states of 10Be._45 2 n +10 Be .. 10Be states
-g.s., 21 , 2z 11i
-90 - -.- -- g.s., 2,2
g.s., 21
-135 -.. g.s.
D-Bonn MV
-80 0.5 1 1.5 22.5 3
Eki~ [MeV]2D3/2
-
- 2S1/20 ++4+' -
0 + P3/2 ***+4+.+4 *+P3/2 +**+++
0 -* *+++ 4++ + ...++++ + -+
+ + + 2
0 . 4 +P1/2 + P1/2 -2D3/2z - N3LO
+ Expt.
2S1/2, , , , , , , , , , - - - - - - - - - -
FIG. 6: (Color online.) Calculated 2S12 n _10Be phase shifts
as a function of Ein, using the CD-Bonn NN potential [15]
at hQ - 13 MeV. NCSM/RGM calculation as in Tab. II.
not favor extended n-10Be configurations, thus enhanc-
ing the relative kinetic energy repulsion, and preventing
the experimentally-observed inversion between and
j+ states. Using the CD-Bonn NN potential [15], we ob-
serve a dramatic (- 3.5 MeV) increase in the 11Be 1+
state binding energy leading to the g.s. parity inversion,
when the n-10Be relative motion is treated within the ab
initio NCSM/RGM approach.
We thank A. Deltuva, P. Descouvemont, J. Hale, and
I. J. Thompson for valuable discussions. Numerical cal-
culations have been performed at the LLNL LC facil-
ities. Prepared by LLNL under Contract DE-AC52-
07NA27344. Support from the U.S. DOE/SC/NP (Work
Proposal No. SCW0498), and from the U. S. Department
of Energy Grant DE-FG02-87ER40371 is acknowledged.
* quaglionii@llnl. gov
t navratill@llnl gov
[1] K. M. Nollett et al., Phys. Rev. Lett. 99, 022502 (2007).
[2] Y. C. Tang et al., Phys. Rep. 47, 167 (1978); K. Langanke
and H. Friedrich, Advances in Nuclear Physics, chapter
4., Plenum, New York, 1987.
[3] P. Navrtil, J. P. Vary, and B. R. Barrett, Phys. Rev.
Lett. 84, 5728 (2000); Phys. Rev. C 62, 054311 (2000).
[4] P. NavrAtil, G. P. Kamuntavifius, and B. R. Barrett,
Phys. Rev. C 61, 044001 (2000).
[5] P. NavrAtil, Phys. Rev. C 70, 014317 (2004).
[6] P. NavrAtil, Phys. Rev. C 70, 054324 (2004).
[7] M. Hesse et al., Nucl. Phys. A640, 37 (1998); M. Hesse,
J. Roland, and D. Baye, Nucl. Phys. A709, 184 (2002).
[8] S. K. Bogner, T. T. S. Kuo, and A. Schwenk, Phys. Rept.
386, 1 (2003); G. Hagen, private communication.
[9] D. R. Entem and R. Machleidt, Phys. Rev. C 68,
041001(R) (2003).
[10] A. Deltuva and A. C. Fonseca, Phys. Rev. C 75, 014005
(2007); Phys. Rev. Lett. 98, 162502 (2007).
[11] A. Deltuva, private communication.
[12] G. M. Hale, private communication.
[13] E. Caurier et al., Phys. Rev. C 66, 024314 (2002).
[14] C. Forssen et al., Phys. Rev. C 71, 044312 (2005).
[15] R. Machleidt, Phys. Rev. C 63, 024001 (2001).
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Quaglioni, S & Navratil, P. Ab Initio Many-Body Calculations Of n-3H, n-4He, p-3,4He, And n-10Be Scattering, article, March 26, 2008; Livermore, California. (https://digital.library.unt.edu/ark:/67531/metadc902262/m1/6/: accessed May 28, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.