The Basic $\bar{K}$ nuclear cluster $K^- pp$ and its enhanced formation in the $p + p \to K^+ + X$ reaction

Yamazaki, Toshimitsu; Akaishi, Yoshinori

doi:10.1103/PhysRevC.76.045201

The Basic $\bar{K}$ nuclear cluster $K^- pp$ and its enhanced formation in the $p + p \to K^+ + X$ reaction

Toshimitsu Yamazaki
(
- Tokyo U. and
- Wako, RIKEN
)
,
Yoshinori Akaishi
(
- Nihon U., Narashino and
- Wako, RIKEN
)

Sep, 2007

18 pages

Published in:

Phys.Rev.C 76 (2007) 045201

e-Print:

0709.0630 [nucl-th]

DOI:

10.1103/PhysRevC.76.045201

View in:

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reference search214 citations

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Abstract: (arXiv)

We have studied the structure of

K^- pp

nuclear cluster comprehensively by solving this three-body system exactly in a variational method starting from the Ansatz that the

\Lambda(1405)

resonance

(\equiv\Lambda^*)

is a

K^- p

bound state. We have found that our original prediction for the presence of

K^-{pp}

as a compact bound system with

M = 2322 MeV/c^2, B_k = 48 MeV

and

\Gamma = 60 MeV

remains unchanged by varying the

\bar{K}

N and NN interactions widely as far as they reproduce

\Lambda(1405)

. The structure of

K^- pp

reveals a molecular feature, namely, the

K^-

in

\Lambda^*

as an 'atomic center' plays a key role in producing strong covalent bonding with the other proton. We have shown that the elementary process,

p + p \to K^+ + \Lambda^* + p

, which occurs in a short impact parameter and with a large momentum transfer

(Q ~ 1.6

GeV/c), leads to unusually large self-trapping of

\Lambda^*

by the participating proton, since the

\Lambda^* -p

system exists as a compact doorway state propagating to

K-_{pp}(R_{\Lambda*p} ~ 1.67 fm)

.

21.30.Fe
21.90.+f
21.45.+v
24.10.-i
bound state: (2p K-)
Lambda(1405): model
hadron: three-body problem
p p: interaction
Lambda(1405): hadroproduction
K+: associated production

References(57)

Figures(0)

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The Basic Kˉ\bar{K}Kˉ nuclear cluster K−ppK^- ppK−pp and its enhanced formation in the p+p→K++Xp + p \to K^+ + Xp+p→K++X reaction

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The Basic $\bar{K}$ nuclear cluster $K^- pp$ and its enhanced formation in the $p + p \to K^+ + X$ reaction