Spring Builder Pattern Dependency injection

I have a class A which is going to initialize a new object of class B. This new instance of class B has some DAO. I want to do dependency injection of DAO and provide my custom attributes and build a object and get the result. However, I am getting No default constructor found; nested exception is java.lang.NoSuchMethodException

public class A {
  public void setChildren(){
     B b =  new B.Builder().children(3).build();
  }
}

class B{
  private PersonDAO personDAO;
  private final int children;
  private B(Builder buil){
    this.children = buil.children;}
  public static class Builder{
    private int children;
    public Builder children(int ch){
        this.children=ch; return this;}
    public Builder build(){
        return new B(this);}
   }
  public void setPersonDao(PersonDao personDao) {
    this.personDao = personDao;}
}

I am using spring dependency injection to inject just DAO.

<bean id="b" class="com.company.B">
    <property name="personDAO" ref="personDAO"/>
</bean> 

First, I want to create new object every single time form A thats why I am doing new in class A. Can anyone tell me how to do this in spring? How to use dependency injection with builder pattern for such scenario ?