TY - JOUR
T1 - ΛnN and ΣnN systems at threshold
AU - Garcilazo, H.
AU - Fernández-Caramés, T.
AU - Valcarce, A.
PY - 2007/3/12
Y1 - 2007/3/12
N2 - We calculate the hypertriton binding energy and the Λd and Σd scattering lengths using baryon-baryon interactions obtained from a chiral constituent quark model. We study consistently the ΛNN and ΣNN systems by analyzing the effect of the Σ Λ conversion. Our interactions correctly predict the hypertriton binding energy. The (I,J)=(0,3/2) ΛNN channel is also attractive and it might have a bound state. From the condition of nonexistence of a (0,3/2) ΛNN bound state, an upper limit for the spin-triplet ΛN scattering length is obtained. We also present results for the elastic and inelastic ΣN and ΛN cross sections. The consistent description of the ΣN scattering cross sections imposes a lower limit for the corresponding spin-triplet scattering lengths. In the ΣNN system the only attractive channels are (I,J)=(1,1/2) and (0,1/2), the (1,1/2) state being the most attractive one.
AB - We calculate the hypertriton binding energy and the Λd and Σd scattering lengths using baryon-baryon interactions obtained from a chiral constituent quark model. We study consistently the ΛNN and ΣNN systems by analyzing the effect of the Σ Λ conversion. Our interactions correctly predict the hypertriton binding energy. The (I,J)=(0,3/2) ΛNN channel is also attractive and it might have a bound state. From the condition of nonexistence of a (0,3/2) ΛNN bound state, an upper limit for the spin-triplet ΛN scattering length is obtained. We also present results for the elastic and inelastic ΣN and ΛN cross sections. The consistent description of the ΣN scattering cross sections imposes a lower limit for the corresponding spin-triplet scattering lengths. In the ΣNN system the only attractive channels are (I,J)=(1,1/2) and (0,1/2), the (1,1/2) state being the most attractive one.
UR - http://www.scopus.com/inward/record.url?scp=33947276179&partnerID=8YFLogxK
U2 - 10.1103/PhysRevC.75.034002
DO - 10.1103/PhysRevC.75.034002
M3 - Artículo
SN - 0556-2813
VL - 75
JO - Physical Review C
JF - Physical Review C
IS - 3
M1 - 034002
ER -