# Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays

## Abstract

We show how theoretical, principally lattice calculations of the scalar form factors in semileptonic pseudoscalar-to-pseudoscalar decays can be used to extract information about the corresponding elastic s-wave scattering channels. We find values for the scattering lengths m{sub {pi}}a=0.179(17)(14), 0.26(26) and 0.29(4) for elastic s-wave isospin-1/2 K{pi}, B{pi} and D{pi} channels, respectively. We also determine phase shifts. For the DK channel we find hints that there is a bound state which can be identified with the recently discovered D{sub s0}{sup +}(2317)

- Authors:

- School of Physics and Astronomy, University of Southampton, Highfield, Southampton SO17 1BJ (United Kingdom)
- Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada (Spain)

- Publication Date:

- OSTI Identifier:
- 21020284

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.75.074024; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B MESONS; BOUND STATE; D MESONS; D S MESONS; ELASTIC SCATTERING; FORM FACTORS; ISOSPIN; KAONS; LATTICE FIELD THEORY; PHASE SHIFT; PIONS; S WAVES; SCALARS; SCATTERING LENGTHS; SEMILEPTONIC DECAY

### Citation Formats

```
Flynn, Jonathan M., and Nieves, Juan.
```*Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.074024.

```
Flynn, Jonathan M., & Nieves, Juan.
```*Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays*. United States. doi:10.1103/PHYSREVD.75.074024.

```
Flynn, Jonathan M., and Nieves, Juan. Sun .
"Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays". United States.
doi:10.1103/PHYSREVD.75.074024.
```

```
@article{osti_21020284,
```

title = {Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays},

author = {Flynn, Jonathan M. and Nieves, Juan},

abstractNote = {We show how theoretical, principally lattice calculations of the scalar form factors in semileptonic pseudoscalar-to-pseudoscalar decays can be used to extract information about the corresponding elastic s-wave scattering channels. We find values for the scattering lengths m{sub {pi}}a=0.179(17)(14), 0.26(26) and 0.29(4) for elastic s-wave isospin-1/2 K{pi}, B{pi} and D{pi} channels, respectively. We also determine phase shifts. For the DK channel we find hints that there is a bound state which can be identified with the recently discovered D{sub s0}{sup +}(2317)},

doi = {10.1103/PHYSREVD.75.074024},

journal = {Physical Review. D, Particles Fields},

number = 7,

volume = 75,

place = {United States},

year = {Sun Apr 01 00:00:00 EDT 2007},

month = {Sun Apr 01 00:00:00 EDT 2007}

}

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