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Multiply-Strange Chiral Solitons

In the SU(3) chiral soliton (Skyrme) model, there are predictions of a variety of light (A=2,3,4) clusters with multiple strangeness, which could be stable with respect to strong and possibly even weak non-leptonic decays [46, 47]. This form of the soliton model is consistent with the masses of strange and non-strange baryons (A=1). These predictions are very speculative, but sufficiently dramatic to merit an experimental test. These objects are distinct from strangelets, in that binding is already possible for very small A and negatively charged states are as stable as positively charged ones. They are also distinct from six quark bag states (e.g., the H) since soliton states of isospin tex2html_wrap_inline2967 are bound (ex. tex2html_wrap_inline2039 , with I=2). Some of the possible dibaryon (A=2) soliton states are indicated in Table gif, together with the energy release Q in weak decay processes for systems bound at the strong decay threshold.

   table398
Table: Multiply strange chiral solitons and the predicted energy release, Q, for their weak decays (assuming zero binding).

The binding energies of the above A=2, S=-2 to -6 states are quite model dependent, but could be as much as 20% of the rest mass in the Skyrme model. As seen from Table gif, a binding energy of 5% is already sufficient to stabilize the A=2, I=2, J=0 bound state tex2html_wrap_inline3003 against mesonic weak decay. Such an object could be detected by E864: it is negatively charged with tex2html_wrap_inline3005 and it requires only two units of strangeness for its production, a more favorable situation than for strangelets. Note that these A=2 systems will not be strongly bound by conventional long tex2html_wrap_inline3009 and medium tex2html_wrap_inline3011 range meson exchange. Their existence would represent a dramatic confirmation of the short range chiral dynamics of the SU(3) soliton picture. The dynamics of the six quark bag, with one-gluon exchange treated perturbatively, produces a different level order for the A=2 system. In the bag, the color magnetic energy is minimized for SU(3) flavor representations of minimum dimension, and hence I=2 states like tex2html_wrap_inline2039 are unbound. The search for negatively charged stable dibaryons is as fundamental as that for the neutral H. It bears directly on the dynamics of baryon-baryon interactions at short distances, a region where the meson exchange picture breaks down, and a correct treatment of quark degrees of freedom becomes crucial. E864 can provide significant limits: if the tex2html_wrap_inline2039 state exists, it should be produced with easily measurable cross section in Au-Au collisions at the AGS. The other objects in Table gif require more strangeness production, with correspondingly smaller cross sections.

Systems with A=3,4,5 and several units of strangeness are also predicted to be bound [47]. Attractive cases for E864 include tex2html_wrap_inline3025 and tex2html_wrap_inline3027 . Again, one can show that these objects are not bound by long range forces (single pion exchange plus second order pion tensor interactions), so their existence would be a dramatic indication of significant attraction in the short-range interaction.

The weak decays of these objects have not been estimated. For tex2html_wrap_inline3029 weak decay, Donoghue et al. find a lifetime significantly longer than that of the tex2html_wrap_inline1999 , because the enhanced tex2html_wrap_inline3033 weak interaction, responsible for the tex2html_wrap_inline3035 rule, does not enter for a s-wave decay (the tex2html_wrap_inline3039 , tex2html_wrap_inline3041 transition dominates) [44]. Similar effects may occur for some of the other A=2 systems. For instance, the tex2html_wrap_inline3045 bound state is a member of the tex2html_wrap_inline3047 -plet of SU(3), while tex2html_wrap_inline3049 states occur for tex2html_wrap_inline3047 and tex2html_wrap_inline3053 . Thus in some cases, the weak lifetimes could be sufficiently long ( tex2html_wrap_inline3055 ns or so) for the particles to be detected by E864, even if the state is bound by less than the Q value shown in Table gif.


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Next: Antinuclei Up: Physics Goals Previous: The H-dibaryon and H-nuclei

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Tue Jan 21 17:29:21 EST 1997