TY - JOUR
T1 - Is Θ+(1540) a kaon-skyrmion resonance?
AU - Itzhaki, Nissan
AU - Klebanov, Igor R.
AU - Ouyang, Peter
AU - Rastelli, Leonardo
N1 - Funding Information:
We are grateful to C. Callan, D. Diakonov, G. Farrar, C. Nappi, V. Petrov and E. Witten for useful discussions. This material is based upon work supported by the National Science Foundation Grants No. PHY-0243680 and PHY-0140311. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
PY - 2004/4/19
Y1 - 2004/4/19
N2 - We reconsider the relationship between the bound state and the SU(3) rigid rotator approaches to strangeness in the Skyrme model. For non-exotic S=-1 baryons the bound state approach matches for small mK onto the rigid rotator approach, and the bound state mode turns into the rotator zero-mode. However, for small mK, we find no S=+1 kaon bound states or resonances in the spectrum, confirming previous work. This suggests that, at least for large N and small mK, the exotic state may be an artifact of the rigid rotator approach to the Skyrme model. An S=+1 near-threshold state comes into existence only for sufficiently large SU(3) breaking. If such a state exists, then it has the expected quantum numbers of Θ+: I=0, J=1/2 and positive parity. Other exotic states with (I=1,JP=3/2+), (I=1,JP=1/2+), (I=2,JP=5/2+) and (I=2,JP=3/2+) appear as its SU(2) rotator excitations. As a test of our methods, we also identify a D-wave S=-1 near-threshold resonance that, upon SU(2) collective coordinate quantization, reproduces the mass splittings of the observed states Λ(1520), Σ(1670) and Σ(1775) with good accuracy.
AB - We reconsider the relationship between the bound state and the SU(3) rigid rotator approaches to strangeness in the Skyrme model. For non-exotic S=-1 baryons the bound state approach matches for small mK onto the rigid rotator approach, and the bound state mode turns into the rotator zero-mode. However, for small mK, we find no S=+1 kaon bound states or resonances in the spectrum, confirming previous work. This suggests that, at least for large N and small mK, the exotic state may be an artifact of the rigid rotator approach to the Skyrme model. An S=+1 near-threshold state comes into existence only for sufficiently large SU(3) breaking. If such a state exists, then it has the expected quantum numbers of Θ+: I=0, J=1/2 and positive parity. Other exotic states with (I=1,JP=3/2+), (I=1,JP=1/2+), (I=2,JP=5/2+) and (I=2,JP=3/2+) appear as its SU(2) rotator excitations. As a test of our methods, we also identify a D-wave S=-1 near-threshold resonance that, upon SU(2) collective coordinate quantization, reproduces the mass splittings of the observed states Λ(1520), Σ(1670) and Σ(1775) with good accuracy.
UR - http://www.scopus.com/inward/record.url?scp=1642320608&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=1642320608&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2004.02.004
DO - 10.1016/j.nuclphysb.2004.02.004
M3 - Article
AN - SCOPUS:1642320608
SN - 0550-3213
VL - 684
SP - 264
EP - 280
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1-2
ER -