The hypertriton in effective field theory

✍ Scribed by H.-W. Hammer

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 158 KB
• Volume: 705
• Category: Article
• ISSN: 0375-9474
• DOI: 10.1016/s0375-9474(02)00621-8

✦ Synopsis

Doublet d scattering and the hypertriton are studied in the framework of an effective field theory for large scattering lengths. As in the triton case, consistent renormalization requires a one-parameter three-body force at leading order whose renormalization group evolution is governed by a limit cycle. Constraining unknown parameters from symmetry considerations and the measured binding energy of the hypertriton, we calculate the low-energy phase shifts for doublet d scattering. For the lowenergy parameters, we find a d = (16.8 +4.4 -2.4 ) fm and r d = (2.3 ± 0.3) fm, where the errors are due to the uncertainty in the hypertriton binding energy. Since the hypertriton is extremely shallow, low-energy three-body observables in this channel are very insensitive to the exact values of the N low-energy parameters.